What property is being shown in Steps 3 and 7?
Step 1: 5(x-1)-x<3(4x-7)
Step 2: 5x-5-x< 12r-21
Step 3: 5x-x-5 < 12x-21
Step 4: 4x-512x-21
Step 5: 4x 4x-5 <12r-4x-21
Step 6: -58r-21
Step 7: -5+21 < 8x - 21+ 21
Step 8:16 < 8r
Step 9: 16/8< 8x/8
Step 10: 2 2
Commutative property and Addition property of inequality
Distributive property and Addition property of inequality
Commutative property and Multiplication property of inequality
Commutative property and Division property of inequality

Answers

Answer 1

For given linear inequalities in step 3 and 7 properties shown are Commutative property and addition property of inequality.

What exactly is a linear inequality?

In mathematics, inequality denotes a mathematical statement with no equal sides. An inequality happens in mathematics when a connection results in a non-equal comparison of two expressions or two numbers. Any of the inequality symbols, such as greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤), or not equal to symbol (≠), replace the equal sign "=" in the sentence. In mathematics, inequalities are classified into three types: polynomial inequalities, rational inequalities, and absolute value inequalities.

The characters "< and >" denote severe inequalities, whereas ‘≤’ and ‘≥’  denote slack inequalities. A linear inequality looks to be a linear equation, however the formula is different.

Now,

As stated in Commutative property the order in addition does not matter and in addition property the value added on both sides does not affect the result.

In step 3 we can write this as 5x-x-5<11x+x-21

which will not change result and

in step 7, 21 is added both sides which will not change result.

Hence,

           For given linear inequalities in step 3 and 7 properties shown are Commutative property and addition property of inequality.

To know more about linear inequalities visit the link

https://brainly.com/question/11897796?referrer=searchResults

#SPJ1


Related Questions

Drag figures and equations to the table to show the net and surface area of the rectangular prism.
The numbers are
W = 3cm.
I = 6cm.
H =3cm.
Pleaseee helppp

Answers

According to the posed question, the rectangular prism's surface area would be 90 cm2.

What is a Rectangular Prism's Surface Area?

The total surface area of a rectangular prism's rectangular faces is alluded to as the prism's surface area. There are two distinct types of it: lateral surface area and total surface area. In contradiction to the lateral surface area, which only includes the lateral faces and omit the base areas, the total surface area of a rectangular prism refers to the area among all six faces.

Given, W = 3 cm, L = 6 cm, and H = 3 cm

surface area = 2 (WL + LH + HW)

                     = 2 (18 + 18 + 9)

                      = 2× 45 = 90 cm².

Consequently, the rectangular prism's surface area is 90 cm².

To know more about prism area visit:

https://brainly.com/question/12098906

#SPJ1

Shaun White, the Flying Tomato, is rolling down a 30° ramp on his skateboard (because he's not just a snowboarding gold medalist, the bro can skate too). The total mass of Shaun and his skateboard is 75 kg. The rolling friction between the skateboard wheels and the concrete is 9N acting backward against the skateboard. The drag force due to air resistance is 11 N acting backwards against Shaun. What is Shaun's acceleration? 30° 4.64 m/s2 down the slope
Previous question

Answers

If the drag force due to air resistance is 11 N acting backwards against Shaun. Shaun's acceleration is 4.64 m/s^2 down the slope.

To find Shaun's acceleration, we need to calculate the net force acting on him and his skateboard. The net force is the vector sum of all the forces acting on the object. We can use Newton's second law of motion, which states that the net force acting on an object is equal to the product of its mass and its acceleration:

Net force = mass × acceleration

Let's break down the forces acting on Shaun and his skateboard:

The force of gravity, which acts vertically downwards with a magnitude of mg, where m is the total mass of Shaun and his skateboard and g is the acceleration due to gravity (9.8 m/s^2).

F₁ = m * g * sin(30°) = 75 kg * 9.8 m/s^2 * sin(30°) = 367.5 N

The force due to rolling friction between the skateboard wheels and the concrete, which acts backward against the skateboard.

F₂ = 9 N (given)

The drag force due to air resistance, which acts backward against Shaun.

F₃ = 11 N (given)

Now, let's add up the forces to get the net force:

Net force = F₁ - F₂ - F₃

= 367.5 N - 9 N - 11 N

= 347.5 N

Using Newton's second law of motion, we can now calculate Shaun's acceleration:

acceleration = Net force / mass

= 347.5 N / 75 kg

= 4.64 m/s^2 (down the slope)

To learn more about acceleration click on,

https://brainly.com/question/30647463

#SPJ4

Binomial distribution calculation

If n=5 and p=0.7, find P(x=4)
Give at least 4 decimal places.

Answers

The binomial distribution P( x = 4 ) if n = 5 and p = 0.7 is 0.3602.

What is the binomial distribution?

Binomial probability distribution determines the probability of a discrete random variable.

Given that;

n = 5p = 0.7p( x = 4 )

Using the formula, probability mass function;

P( X = x ) = ⁿCₓPˣ( 1 - P )ⁿ⁻ˣ

P( X = x ) = ⁵Cₓ × 0.7ˣ × ( 1 - 0.7 )⁵⁻ˣ

Now for P( x = 4 )

P( X = 4 ) = ⁵C₄ × 0.7⁴ × ( 1 - 0.7 )⁵⁻⁴

P( X = 4 ) = ⁵C₄ × 0.7⁴ × ( 1 - 0.7 )

P( X = 4 ) = 5 × 0.2401 × 0.3

P( X = 4 ) = 0.3602

Therefore, the value of P( x = 4 ) is 0.3602.

To know more about Binomial distribution here.

brainly.com/question/14565246

#SPJ1

Which of the following are consistent with the observed relationship between growth in real GDP and changes in the unemployment rate as shown in Figure 8-5? Which are not?a. A rise in the unemployment rate accompanies a fall in real GDP.b. An exceptionally strong business recovery is associated with a greater percentage of the labor force being employed.c. Negative real GDP growth is associated with a fall in the unemployment rate.

Answers

a. A rise in the unemployment rate accompanies a fall in real GDP. - Consistent

b. An exceptionally strong business recovery is associated with a greater percentage of the labor force being employed. - Not consistent

c. Negative real GDP growth is associated with a fall in the unemployment rate. - Not consistent

This is consistent with the observed relationship between real GDP growth and changes in the unemployment rate. An increase in real GDP is associated with a decrease in the unemployment rate, and vice versa.

This is because when GDP increases, businesses are able to hire more workers, leading to a decrease in the unemployment rate. Conversely, when GDP decreases, businesses may have to lay off employees or reduce their hours, leading to an increase in the unemployment rate.

To learn more about GDP growth link is here

brainly.com/question/29815431

#SPJ4

The complete question is:

Which of the following are consistent with the observed relationship between growth in real GDP and changes in the unemployment rate as shown in Figure 8-5? Which are not?

a. A rise in the unemployment rate accompanies a fall in real GDP.

b. An exceptionally strong business recovery is associated with a greater percentage of the labor force being employed.

c. Negative real GDP growth is associated with a fall in the unemployment rate.

Que es el crecimiento exponencial?

Answers

The concept of exponential growth function is discussed below.

What is exponential function?

An exponential function is of the form -

y = A(B)ˣ

Given is to explain exponential growth.

Exponential growth of a quantity happens if the rate of instantaneous change is directly proportional to the quantity itself. The general exponential function is -

y = A(B)ˣ

More specifically -

[tex]$f(x)=a(1+r)^{x}[/tex]

where -

f(x) = exponential growth function

{a} = initial amount

{r} = growth rate

{x} = number of time intervals

Therefore, the concept of exponential growth function is discussed above.

To solve more questions on exponential growth function, visit the link below -

https://brainly.com/question/1596693

#SPJ9

{Question in english -

What is exponential growth?}

Interpret the scatter plot based on the shape of the distribution.

Answers

Answer: Looks like a positive correlation with an outlier in the lower left.

Step-by-step explanation:

For every point on the graph of f(x), there is a point on the graph of F^-1(x) with reversed coordinates. TRUE or FALSE

you will get 40 points for answering it!

Answers

The statement, For every point on the graph of f(x), there is a point on the graph of F⁻¹(x) with reversed coordinates is false.

What is inverse function?

In relation to the original function f, the inverse function is denoted by the symbol f⁻¹, and both the original function's domain and its range are transformed into the inverse function's domain and range, respectively. Swapping (x, y) with (y, x) with reference to the line y = x yields the graph of the inverse function.

We know that inverse of function is NOT the reciprocal of f. The composition of the function f and the reciprocal function f inverse gives the domain value of x.

Hence, the statement, For every point on the graph of f(x), there is a point on the graph of F⁻¹(x) with reversed coordinates is false.

Learn more about inverse function here:

https://brainly.com/question/17872426

#SPJ1

When solving an inequality, if you the coefficient is negative, as in-3x > 9, the inequality
True
False

Answers

"When solving an inequality, if you the coefficient is negative, as in-3x > 9, the inequality" statement becomes: true

What is an inequality?

A relationship that compares two numbers or other mathematical expressions in an unequal way is known as an inequality in mathematics. On the number line, it is most frequently used to compare the sizes of two numbers. The equals sign in the equation-like phrase 7x 4 > 2x + 5 has been replaced by an arrowhead. This is a prime instance of inequality. This indicates that the left half, 7x 4, is larger than the right part, 2x + 5, in the equation. Finding the values of x for which the inequality holds true will be of importance to us.

To know more about inequality refer to:

https://brainly.com/question/24372553

#SPJ1

Annie made 4 glasses of juice,her 5 friends drank 1/2 glass each.what fraction of juice was left? how to solve it

Answers

[tex]\frac{5}{2}[/tex] juice was left when Annie made 4 glasses of juice, her 5 friends drank [tex]\frac{1}{2}[/tex] glass each.

Meaning of fraction = An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction.

Annie made 4 glasses of juice

To find = fraction of juice that was left

Total glasses of juice = 4

Her 5 friends drank 1/2 glass each

= 5 × [tex]\frac{1}{2}[/tex]

= [tex]\frac{5}{2}[/tex]

Fraction of juice that left,

5 - [tex]\frac{5}{2}[/tex]

Subtracting by taking LCM,

= [tex]\frac{10 - 5}{2}[/tex]

= [tex]\frac{5}{2}[/tex]

[tex]\frac{5}{2}[/tex] juice was left when Annie made 4 glasses of juice, her 5 friends drank 1/2 glass each.

To learn more about fraction, visit:

https://brainly.com/question/10354322

The cost for shipping a package that weighs x pounds from Boise
to Los Angeles is shown at the right. How much more does
Shipping Central charge than Globe Delivery?

Answers

Shipping Central charges $0.51 more than Globe Delivery for any given weight of the package.

How to calculate this?

The cost for shipping a package that weighs x pounds from Boise to Los Angeles is shown below.

Company                    Cost ($)

Shipping Central        3x+3.50

Globe Delivery          2x + 2.99

To determine the amount more Shipping Central charges than Globe Delivery, you can subtract the cost function for Globe Delivery from the cost function for Shipping Central.

The difference between the two cost functions is:

3x + 3.50 - (2x + 2.99) = x + 0.51 = $0.51 + x

This means that, for any given weight of the package, Shipping Central charges $0.51 more than Globe Delivery.

Read more about algebra here:

https://brainly.com/question/4344214

#SPJ1

A copy machine makes 187 copies in 4 minutes and 15 seconds. How many copies does it make per minute?
copies per minute

Answers

The copy machine make 44 copies per minute.

What is the unitary method?

The unitary method is the method of solving a problem by the first value of a single unit and than finding the value of single unit by multiplying. Unitary method is a technique by which we can find the value of a single unit from the value of multiple data and also the value of more than one unit from the value of single unit. This is a method that we use for most of the calculations in mathematics;

We are given that Time copy machine take= 4min 15sec

Number of copies=187

Now, 1min=60sec

4min=240sec

Total time=240+15 =255sec

Therefore, 255sec=187copies

60sec= 187 x 60/255

=44

To learn more about the unitary method visit;

https://brainly.com/question/23423168

#SPJ9

where is the local (relative) maximum for the graph below?

Answers

The local maximum for the graph below is given at point b.

How to classify the function as increasing, decreasing or constant, and how it relates to the local maximum?

The function is increasing when the graph moves right and up.The function is decreasing when the graph moves right and down.The function is constant when the graph of the function is an horizontal line.

A function has a local maximum when it changes from increasing to decreasing.

For the graphed function, we have that the function is increasing until point b, and then it starts to decrease, hence the local maximum is given at point b.

More can be learned about functions at https://brainly.com/question/24808124

#SPJ1

Para todo x en A:123,x+2 al cuadrado es igual a x al cuadrado+2, verdadero o falso?

Answers

The given conclusion "(x + 2)² = (x² + 2)" is false.

What are the various set representation methods?

The two set representation methods are -

Roster formSet - builder form

Given is the set A{1, 2, 3}.

(x + 2)² should be equal to (x² + 2) for all x ∈ A.

We can write -

(1 + 2)² = 1² + 2

9 ≠ 3

Therefore, the given conclusion "(x + 2)² = (x² + 2)" is false.

To solve more questions on sets, visit the link below

https://brainly.com/question/4086344

#SPJ9

{Question in english -

For all x in A: {1, 2, 3}, (x + 2)² is equal to (x² + 2). True or false?}

A system is made up of two subsystems, A and B, connected in-series (i.e., the system fails if either subsystem fails). Subsystem A is made up of components 1 and 2, connected in series. Component 1 fails according to a Poisson process with rate 0.2 per month, whereas component 2 fails as a Poisson process with rate 0.08 per month. Subsystem B is made up of a single component 3, which is subject to repeated disruptions. The disruptions arrive as a Poisson. process with rate 1.2 per month but only 20% of them cause the failure of component 3.
a) Find the probability that the system will fail during a 3-month period.
b) Find the probability that there will be no more than two failures of the system during a 6-month period.
c) Find the probability that the next system failure will occur within a year.

Answers

Answer: a) The probability that the system will fail during a 3-month period can be calculated as the sum of the probabilities of subsystem A and subsystem B failing, since the system fails if either one fails. The probability of subsystem A failing in 3 months is given by P(A) = 1 - e^(-0.2 * 3) * (1 + 0.2 * 3 + (0.2 * 3)^2 / 2!) = 0.0664. The probability of subsystem B failing in 3 months is given by P(B) = 1 - e^(-1.2 * 3) * (1 + 0.2 * 3 + (0.2 * 3)^2 / 2!) = 0.36. Therefore, the probability that the system will fail in 3 months is P(system) = P(A) + P(B) = 0.0664 + 0.36 = 0.4264.

b) To find the probability that there will be no more than two failures of the system during a 6-month period, we need to use the cumulative distribution function (CDF) of the Poisson distribution. Let X be the number of failures of the system in 6 months. The CDF is given by F(x) = P(X <= x) = 1 - P(X > x), where P(X > x) is the probability that there will be more than x failures. Therefore, the probability that there will be no more than two failures of the system during a 6-month period is given by F(2) = 1 - P(X > 2). We can use the formula for the Poisson distribution to find P(X > 2), which is P(X > 2) = e^(-6 * (P(A) + P(B))) * ((6 * (P(A) + P(B)))^3 / 3! + (6 * (P(A) + P(B)))^2 / 2! + 6 * (P(A) + P(B)) / 1! + 1). Plugging in the values for P(A) and P(B) from part (a), we get F(2) = 1 - e^(-6 * 0.4264) * ((6 * 0.4264)^3 / 3! + (6 * 0.4264)^2 / 2! + 6 * 0.4264 / 1! + 1) = 1 - 0.2079 = 0.7921.

c) To find the probability that the next system failure will occur within a year, we need to find the cumulative distribution function (CDF) of the time between failures, which is the sum of the time between failures of subsystem A and subsystem B. Let X be the time between failures of subsystem A, which follows an exponential distribution with rate 0.2 per month. Let Y be the time between failures of subsystem B, which also follows an exponential distribution with rate 1.2 * 0.2 = 0.24 per month. Then the CDF of the time between failures is given by F(t) = P(X + Y <= t) = 1 - P(X + Y > t0.2 * 12) * e^(-0.24 * 12) = 1 - 0.17 = 0.83. Therefore, the probability that the next system failure will occur within a year is 0.83.

Step-by-step explanation:

The first term of an ap is 29 and the seventh term is -13 what is the value of the tenth term

Answers

Step-by-step explanation:

an arithmetic progression or arithmetic sequence is a sequence of terms, where the difference bergen neighboring terms is a constant d for the whole sequence.

a1 = 29

a2 = 29 + d

a3 = a2 + d = a1 + d + d = 29 + 2d

...

an = 29 + (n-1)d

a7 = -13 = 29 + 6d

-42 = 6d

d = -42/6 = -7

therefore,

a10 = 29 + 9×-7 = 29 - 63 = -34

the average rent of one bedroom apartment in brooklyn is 2700 in 2021,if rent will increase 2.5% in 2022 and 2.5% in 2023.what would be the average rent in 2023?

Answers

The average rent of a one-bedroom apartment in Brooklyn is estimated to be $2,836.69 in 2023 after the 2.5% increase in both 2022 and 2023

What is the percentage increase?

Percentage increase is a measure of how much a value or quantity has increased relative to its original value, expressed as a percentage.

To calculate the percentage increase, you can use the following formula:

Percentage increase = (New value - Old value) / Old value x 100%

If the average rent of a one-bedroom apartment in Brooklyn is $2,700 in 2021, and it increases by 2.5% in both 2022 and 2023, we can calculate the average rent in 2023 as follows:

Calculate the increase in rent due to the 2.5% increase in 2022:

2.5% of $2,700 = 0.025 x $2,700 = $67.50

The new rent in 2022 will be $2,700 + $67.50 = $2,767.50

Calculate the increase in rent due to the 2.5% increase in 2023:

2.5% of $2,767.50 = 0.025 x $2,767.50 = $69.19

The new rent in 2023 will be $2,767.50 + $69.19 = $2,836.69

Therefore, the average rent of a one-bedroom apartment in Brooklyn is estimated to be $2,836.69 in 2023 after the 2.5% increase in both 2022 and 2023.

To learn more about the percentage increase, visit:

https://brainly.com/question/11360390

#SPJ1

How can i put this in slope intercept form?
X int= 5; Y int= -2

Answers

If your aware of the slope intercept form it’s y=mx+b where M is your slope/x intercept and b is your y-intercept so it would be y=5x-2. Hope that was helpful!

Find the 96th term of the arithmetic sequence 1, -12, -25

Answers

Answer:a

Step-by-step explanation:

Brainliest, please help me! Thanks :)

Answers

Answer:

A and D

Step-by-step explanation:

They both dont touch and go in the sam direction

Answer:

Below

Step-by-step explanation:

It APPEARS that First and last choices are true.....the lines do not cross in the picture...BUT you cannot say for SURE they are parallel  without more information about the angles at  D E H and I    ....or markings

Look at the inequality below.
−6 ≥ 13 + 5×
Which of these values of x makes the inequality true?
A -3.9
B -1.2
C -7/15
D 3/13

Answers

Answer:

a -3.9

Step-by-step explanation:

Subtract 13 from both sides which makes it -19 > 5x. then divide by 5 on both sides

Miguel Rodriguez borrowed ​$200 from his brother Julio to pay for books and tuition. He agreed to pay Julio in 6 months with simple annual interest at 6.3​%

Answers

Answer:

simple interest is $6.8

Miguel pay the amount to Julio at the end of 6​ months was $206.8

Step-by-step explanation:

Given : Miguel Rodriguez borrowed ​$200 from his brother Julio to pay for books and tuition. He agreed to pay Julio in 6 months with simple annual interest at 6.8​%.

To Find : ​a) How much will the interest amount​ to?

​b) What amount must Miguel pay Julio at the end of 6​ months?

Solution :

Formula for simple interest :

Where rate is in decimal

Time is in years

So, rate of interest = 6.8 % = 0.068

Time = 6 months = 6/12=0.5

Principal = $200

Thus= 200x0.068x0.5=6.8

When sales representatives for a pharmaceutical company drive to​ out-of-town meetings that require an overnight​ stay, they receive ​$140 for lodging plus ​$0.60 per mile driven. How many miles did Joe drive if his company reimbursed him ​$290 for an overnight​ trip?
Question content area bottom
Part 1
The equation is enter your response here. Joe drove enter your response here miles.
​(Type an equation using x as the​ variable.)


solve for equation and miles Joe drove

Answers

Joe was given  $329 for an overnight trip because he drove a distance of 220 miles

How to solve Word Problems ?

Five Easy Steps to Solving Word Problems (WASSP)

Write (or draw) what you know.Ask the question.Set up a math problem that could answer the question.Solve the math problem to get an answer.Put the answer in a sentence to see if the answer makes sense!

Given Data

Amount rep receive = $175

Added amount per mile driven = $0.70

Reimbursed/Total  = $329

The Mathematical relation for this scenario is

Total amount = Amount Receive+ 0.7*Distance driven

let the distance driven be x

Substituting our given data into the relation we have

329= 175+ 0.7*x

329-175 = 0.7x

154 = 0.7x

divide both sides by 0.7

x = 154/0.7

x = 220miles

Learn more about word problems here:

brainly.com/question/25693822

#SPJ1

Find an​ nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing​ utility, use it to graph the function and verify the real zeros and the given function value.
n=3
4 and 2i are zeros
f(1)=-30

Answers

The function for the given zeros is f(x)=2x³-8x²+8x-32.

What are the zeros of the polynomial function?

The zeros of polynomial refer to the values of the variables present in the polynomial equation for which the polynomial equals 0.

Given that, n=3.

x=4 and x=2i

We then know that the third root must be x=-2i

Now, f(x)=a(x-4)(x-2i)(x+2i)

= a(x-4)(x²-(-2i)²)

= a(x-4)(x²-(-4))

= a(x-4)(x²+4)

= ax²(x-4)+4(x-4)

f(x)= a(x³-4x²+4x-16)

f(1)=a(1³-4×1²+4×1-16)

-30=a(1-4+4-16)

a=2

Now, f(x)=2(x³-4x²+4x-16)

f(x)=2x³-8x²+8x-32

Therefore, the function is f(x)=2x³-8x²+8x-32.

To learn more about the polynomial function visit:

https://brainly.com/question/12976257.

#SPJ9

convert the following measurement

Answers

Answer:

3.4 x 10⁻²  kg · m²/s²

Step-by-step explanation:

[tex]3.4\times \:10^5=340000[/tex]

The numerator is in g.cm² and the denominator is the same s²

So we only need to convert the numerator from g.cm² to kg.m²

1 kg = 1000 grams = 10³ grams
1 gm = 1/10³ kg
1 gm = 10⁻³ kg

1 m = 100 cm = 10² cm

1 m² = 100² cm² = (10²)² = 10⁴ cm²

Or 1 cm² = 1/10⁴ cm² = 10⁻⁴ cm²

Therefore to convert g · cm² to kg · m² we multiply by

(10⁻³)  · (10⁻⁴) = 10⁻⁷

Therefore 3.4 x 10⁵ g · cm² =  3.4 x 10⁵ x 10⁻⁷ kg · m²

= 3.4 x 10⁻² kg · m²/s²

(1.3+0.2) divided by 5+2.7 using BODMAS/PEDMAS

Answers

Answer:

3

Step-by-step explanation:

Parenthesis

Exponent

Division

Multiplication

Addition

Subtraction

(1.3+0.2) ÷ 5+2.7

paranthesis first

1.5 ÷ 5 + 2.7

Division next

0.3 +2.7= 3

Consider the line 8x-5y=1
what is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line

Answers

Answer:

[tex]\frac{8}{5}[/tex] and - [tex]\frac{5}{8}[/tex]

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

8x - 5y = 1 ( subtract 8x from both sides )

- 5y = - 8x + 1 ( divide through by - 5 )

y = [tex]\frac{8}{5}[/tex] x - [tex]\frac{1}{5}[/tex] ← in slope- intercept form

with slope m = [tex]\frac{8}{5}[/tex]

• Parallel lines have equal slopes

then the slope of a parallel line is m = [tex]\frac{8}{5}[/tex]

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{8}{5} }[/tex] = - [tex]\frac{5}{8}[/tex]

22.1.3 Quiz: Selecting a House: Fairly Priced?
Question 5 of 10
A house is listed for sale at $235,000, but the listing does not include square
footage of the house. Based on the comps, the line of best fit is
y=0.06x + 60.5. If the price is fair, what size (in square feet) should the house
be?
OA. 2850 ft2
OB. 2900 ft2
OC. 20,000 ft²
OD. 2350 ft²

Answers

Size of the house should be 2900 ft².

Correct option is B.

What is linear equation?

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.

Given,

Equation for the line that expresses price of house

y = 0.06x + 60.5

where y is the price in thousand dollars, x is area in square feet.

Price of the house = $235000

⇒ y = 235

Then,

235 = 0.06x + 60.5

0.06x = $235 - 60.5

0.06x = 174.5

x = 174.5/0.06

x = 2908.33 ≈ 2900

Hence, 2900 ft² should be the size of the house.

Learn more about linear equation here:

https://brainly.com/question/29739212

#SPJ9

A right square pyramid has an altitude of 10 and each side of the base is 6. To the nearest tenth of a centimeter, what is the distance from the apex, or top of the pyramid, to each vertex of base?

Answers

The distance from the apex, or top of the pyramid, to each vertex of base is 10.9.

What is a right rectangular pyramid?

A right rectangular pyramid is a pyramid, with four slant sides, and a rectangular base, such that all the sides are congruent and the vertex is atop of the midpoint of the base rectangle.

Suppose the base of the pyramid has length = l units, and width = w units.

Suppose that the height of the pyramid is of h units, then:

[tex]v = \dfrac{l \times w \times h}{3} \: \rm unit^3[/tex]

is the volume of that pyramid.

The base is a rectangle with length = L units, and width = W units, so its area is:

[tex]b = l \times w\: \rm unit^2[/tex]

Given that;

Altitude of pyramid= 10

Each side base of pyramid= 6

Now,

So using pythagorean theorem,

x2=y2+(10)2....1

with y half of the length of the diagonal of the base.

2y=length of the diagnol

and (2y)2 = 72

4y2=72

y = 3√2.

So substitute y in eq1 and get x

( 3√2)2+(10)2=(x)2

(x)2=118

x=10.86.

x≈10.9

Therefore, the side of  right square pyramid will be 10.9.

Learn more about right rectangular pyramid here:

https://brainly.com/question/27234847

#SPJ9

Use the data in the table below, which shows the employment status of individuals in a particular town by age group.
Age
0-17
18-25
26-34
35-49
50 +
Full-time
21
267
492
535
520
Part-time
187
200
67
195
166
Unemployed
356
135
28
133
231
If a person is randomly chosen from the town's population, what is the probability that the person is under 18 or employed part-time?
X
Need Help?
Read It
Watch It

Answers

The probability that the person is under 18 or employed part-time is 179/864.

What is experimental probability?

Experimental probability calculates the probability of some event from the results of experiments.

For an event E, we get the experimental probability of that event

[tex]P_e(E) = \dfrac{\text{Number of times E occurred}}{\text{Number of times experiments was done}}[/tex]

where,[tex]P_e(E)[/tex] is denoting experimental probability of occurrence of E.

Given that;

The table of age, full time, part time, unemployed

Now,

Total number of people who are between the age group 35-49

= 581+179+104

= 864

Number of people who are employed part time= 179

Number of people employed part time in age group 35-49/ Total people in age group 35-49

= 179/864

Therefore, the probability will be 179/864.

Learn more about experimental probability here:

https://brainly.com/question/2547434

#SPJ6

for each inequality write all the one digit integers that satisfy it a>2

Answers

Possible answers are:

3

4

5

6

7

8

9

Other Questions
Before laws were passed, what was a negative effect of urbanization?better working conditionsO building safety codesO mandatory schoolingO increased crime rates _____ is the inner layer of the serous pericardium. 7. 3 You are presented with three coins. You are told that two of them are fair, meaning thatif flipped, they will return heads or tails with a 0. 5 probability. You are also told that one isweighted, and will return heads 0. 8 of the time and tails 0. 2. You pick one coin arbitrarilyand flip it; it returns heads. Calculate the probability that the coin you are holding is theweighted one, given that it returned heads on one flip Select the correct answer. Which functionality would you include in the product category of the marketing mix? A. substitute goods for current product B. product discounts C. after-sales service D. product image used in advertisement What is the area of KELP, h = 52.6, b1 = 47.8, b2 = 39.1 *A diagram with Trapezoid KELP and Circle C is shown. Given the dimensions, find thearea of each figure and complete the table. Round to the nearest hundredth ifnecessary. The first 5 books of the Bible cover several fundamental questions, such as who are we, where did we come from, and why are we here. a. True b. False. A truck travels from a factory to a gas station in 3 minutes. It stops at the gas station for 2 minutes. The truck then returns to the factory in 5 minutes. Which graph best represents the distance, y, in miles, of the truck from the factory after a certain amount of time, x, in minutes?Group of answer choicesA graph shows Time in minutes along the x-axis and Trucks distance from factory in miles along the y-axis. The scales on the x- and y-axes are from 0 to 10 at increments of 1. There are three straight lines in the graph. The first line joins ordered pair 0, 0 with 2, 3. The second straight line joins 2, 3 and 5, 3, and the third straight line joins ordered pair 5, 3 with the ordered pair 10, 0.A graph shows Time in minutes along the x-axis and Trucks distance from factory in miles along the y axis. The scales on the x- and y-axes are from 0 to 10 at increments of 1. There are three straight lines in the graph. The first line joins ordered pair 0, 0 with 3, 3. The second straight line joins 3, 3 and 5, 3, and the third straight line joins ordered pair 5, 3 with the ordered pair 10, 0.A graph shows Time in minutes along the x-axis and Trucks distance from factory in miles along the y-axis. The scales on the x- and y-axes are from 0 to 10 at increments of 1. There are three straight lines in the graph. The first line joins ordered pair 0, 0 with 3, 3. The second straight line joins 3, 3 and 6, 3, and the third straight line joins ordered pair 6, 3 with the ordered pair 10, 0.A graph shows Time in minutes along the x-axis and Trucks distance from factory in miles along the y-axis. The scales on the x- and y-axes are from 0 to 10 at increments of 1. There are three straight lines in the graph. The first line joins ordered pair 0, 0 with 2, 3. The second straight line joins 2, 3 and 4, 3, and the third straight line joins ordered pair 4, 3 with the ordered pair 10, 0. Below are symptoms of a patient related to the Immune and Lymphatic Systems.1.Identify all anatomical structures related to and/or that are being affected based on the patient case information. (i.e. tissues, organs, vessels, brain components, membranes)2.Explain how the anatomical structures and their physiological function/dysfunction are interrelated normally and what is going wrong with the structures.3.Identify and explain possible a diagnosis and what can be done to fix or reverse the current situation.Patient Case Donna is a 35 year old female who is married and has a 5 year old daughter. Donna recently found out she was pregnant, but last week at 12 weeks she started to spot and went to see the doctor. At the doctors, Donna found out she was having a miscarriage and the doctors decided to look at her blood type and seemed very alarmed and asked her who her doctor was for her first child. Her blood type was A-. the government purchases: 3.40 3.40 trillions of rupees. individuals consume: 11.00 11.00 trillions of rupees. individuals save: 5.45 5.45 trillions of rupees. businesses invest: 1.65 1.65 trillions of rupees. foreigners spend: 0.50 0.50 trillions of rupees to purchase pakistani firms. pakistan imports: 2.48 2.48 trillions of rupees. pakistan exports: 1.32 1.32 trillions of rupees. calculate pakistan's gdp. assume that the values are all current and no conversions need to be made. give your answer in terms of trillions of rupees, and round to two decimals. What exactly is the meaning of "It is a truth universally acknowledged that a single man in possession of a good fortune must be in want of a wife."? What information would you find on a workplace label? as a result of making love, ursula and tom experienced a strong release of psychological and physical tension, and warm sensations of emotional well being. these feelings are referred to as . Solve for the equation of the tangent line. Question is attached below. Please show full working. Which of the following was NOT a use "Mosquito Fleet" in World War ll?-Ferry Boat -Substitute Aircraft Carrier -Speedy Combat-Reconnaissance Find the area and circumference of each circle. if the government of a country subsidizes the production of a good, it: multiple select question. reduces supply. lowers the cost of production. increases the cost of production. increases supply. What is the plate boundary that is responsible for earthquakes between Africa and South America? during what season of the year do tornadoes occur most frequently in the united states? Chose the fraction that correctly represents the ratio 5 to 15 in simplest form What technique is Kennedy using when he claims, "We set sail on this new sea . . . "?