Two shops rent pairs of skis for a rental fee plus a fee
per hour. The table shows the total costs (in dollars)
for different numbers of hours at Shop A. The total
costy (in dollars) for x hours at Shop B is
represented by the equation
y = 2x + 8.
Which shop charges less per hour?
• Shop A
O Shop B
How many hours must a pair of skis be rented for the total costs to be the same?
The total costs are the same when a pair of skis is rented for
hours.
PLS HELP

Two Shops Rent Pairs Of Skis For A Rental Fee Plus A Feeper Hour. The Table Shows The Total Costs (in

Answers

Answer 1

Using linear functions, it is found that:

Shop B charges less per hour.The total costs are the same when a pair of skis is rented for 3 hours.

What is a linear function?

A linear function is modeled by the following rule:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, the change in y divided by the change in x.b is the y-intercept, which is the the value of y when the function crosses the x-axis, that is, when x = 0.

For Shop A, we have that the slope is of 3, as the cost increases by $3 an hour, hence:

yA(x) = 3x + b.

When x = 1, y = 8, hence we find the intercept b as follows:

8 = 3 + b

b = 5.

Hence:

yA(x) = 3x + 5.

For Shop B, the rule is given as follows:

yB(x) = 2x + 8.

Due to the lower slope, we have that:

Shop B charges less per hour.

The costs will be the same when:

yA(x) = yB(x).

Hence:

3x + 5 = 2x + 8

x = 3.

The total costs are the same when a pair of skis is rented for 3 hours.

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

#SPJ1


Related Questions

Please I need help on Geometry

Answers

The correct choices for midpoints and bisector angles are listed below:

DDBABCBAHow to determine the locations and measures of bisectors

In this question we find four cases of determination of midpoints, that is, the point in a line segment such that the line segment is divided in two segments of equal length, and four cases of angle bisectors, that is, two angles of equal measure generated by a semirray.

First, we determine the location of the midpoints:

1) M(x, y) = 0.5 · (- 8, 9) + 0.5 · (- 9, 0)

M(x, y) = (- 8.5, 4.5)

M(x, y) = (- 8 1 / 2, 4 1 / 2)

2) M(x, y) = 0.5 · (1, 10) + 0.5 · (5, 5)

M(x, y) = (3, 7.5)

M(x, y) = (3, 7 1 / 2)

3) M(x, y) = 0.5 · (3, - 1) + 0.5 · (5, 3)

M(x, y) = (4, 1)

4) M(x, y) = 0.5 · (1, - 2) + 0.5 · (4, 5)

M(x, y) = (2.5, 1.5)

M(x, y) = (2 1 / 2, 1 1 / 2)

Bisector angles

5) The measure of the angle is 28°.

6) The measure of the angle is 38°.

7) The measure of the variable behind the angle is:

m ∠1 = m ∠2

2 · x + 3 = x + 11

x = 8

8) The measure of the variable behind the angle is:

m ∠ XVW = 2 · m ∠ 1

13 · x - 6 = 2 · (5 · x + 9)

13 · x - 6 = 10 · x + 18

3 · x = 24

x = 8

To learn more on midpoints: https://brainly.com/question/14687140

#SPJ1

Genes a and b are 10 mu apart. a man has an ab/ab genotype. his father was ab/ab. he marries a woman who is ab/ab. what is the likelihood they will have an ab/ab child?

Answers

The probability that they will have an ab/ab child is 5%

Probability is how likely an event is to happen. It is measured by the ratio of the number of good cases to the total number of cases that could happen.

ab/ab (female) x ab/ab (male)

Possible alleles: [Find the alleles of the parents first, because the rest can be mixed]

AB (parental)

ab (parental)

Ab (recombinant)

aB (recombinant)

The m.u. tells us that recombinant alleles happen 10% of the time. If a child is (Ab/ab), then (ab) would come from the father, and (Ab) would come from the mother.

Given the mother has allele ab/ab looking at probabilities there is 50%chance that the child will inherit the allele and a 10% chance for the recombination to happen.

P(ab/ab)= (50%) (10%) = 5%

hence the answer is 5%

Learn more about probability - https://brainly.com/question/24756209

Jacob has 298 baseball cards. About how many
baseball cards does Jacob have? Round to the
nearest 100.

Answers

Answer:

300

Step-by-step explanation:

5 or more raise the score 4 or less let it rest basically 5 or more up 4 or less down

Vector u has a magnitude of 10inches with a direction angle of 45 degrees. vector v has a magnitude of 10 inches and a direction angle of 225 degrees. what are the magnitude and the direction angle for the resultant vector?

Answers

The magnitude of the vector is 10√2 and the direction of the vector is 78.69°

Magnitude and the direction of the vectors:

A vector is a directed line segment with an initial point and a terminal point.

To calculate the magnitude of the vector using the Pythagorean Theorem or the distance formula, and to find its direction using the inverse tangent function.

The formula for the magnitude of the vector is

|v|=√(a²+b²)

And the formula for the direction of the vector is,

θ=tan⁻¹(b/a)

where

(a, b) represents the given point.

Given,

Vector u,

Magnitude = 10 in

Direction angle = 45°

Vector v,

Magnitude = 10 in

Direction angle = 225°

Now we have to find the magnitude by apply the value on it,

=> |v|=√(10² + 10²)

=> |v|=√(100 + 100)

=> |v|=√200

=> |v|=√2 x 100

=> |v|=10√2

Similarly, the direction of the vector is,

=> θ = tan⁻¹ (225 / 45)

=> θ = tan⁻¹ (5)

=> θ = 78.69°

To know more about Magnitude and the direction of the vectors here.

https://brainly.com/question/10151539

#SPJ4

Help me figure out this piecewise question!! 60 points!

Answers

Check the picture below.

how many terms are in 7w +2g+3 + 8w

Answers

Answer: 4! Terms are numbers with letters, letters, or simple numbers in an equation! Hope this helps!

Answer:

4

Step-by-step explanation:

The numbers count as terms, but anything else doesn't

Three more than twice a number is less than negative thirteen. Solve the inequality for the unknown number.

Answers

Answer:

Step-by-step explanation:

The number = x

Three more than the number = x + 3

twice the number = 2x

which means:

           

          2x + 3 < -13

          2x + 3 -3 < -13 -3                 (subtract 3 from both sides)

          2x < -16

          2x/2 < -16/2                       (divide 2 from both sides)

          x < -8

The perimeter of the quadrilateral below is 119 units. Find the length of side AB.

Answers

Answer:

Step-by-step explanation:

What are mathematical formulas placed in software that performs an analysis on a data set?

Answers

Algorithms are mathematical formulas placed in software that performs an analysis on a data set.

What are algorithms?Algorithms are mathematical formulas that are used in software to analyze data sets. An algorithm is a finite sequence of rigorous instructions used to solve a class of specific problems or to perform a computation in mathematics and computer science. Algorithms serve as specifications for calculating and processing data. More sophisticated algorithms can perform automated deductions (also known as automated reasoning) and use mathematical and logical tests to route code execution through different paths (referred to as automated decision-making). Alan Turing pioneered the use of human characteristics as metaphorical descriptors of machines with terms like "memory," "search," and "stimulus."

Therefore, algorithms are mathematical formulas placed in software that performs an analysis of a data set.

Know more about algorithms here:

https://brainly.com/question/13800096

#SPJ4

9 times the sum of 9b and 2

Answers

Answer:

9(9b+2)

Step-by-step explanation:

The words 'the sum of mean parenthesis.

And so 9 would be outside the parenthesis, then 9b and 2 would be inside.

tyler wants to buy a new game system that costs $240 tyler has already saved $32 but he needs to make a plan so he can save the rest of the money he needs he decided to save the same amount of money x dollars each month for the next four months, write an equation that helps tyler determine the amount of money he must save each month, solve the equation to find the amount of money he must save each month to meet his goal of buying a new game system

Answers

Answer: He must save $52 per month

Step-by-step explanation: 240-32= 208/4= 52

The temperature in Gainesville is 9°C colder than the temperature in Elmwood. What is the temperature in Gainesville?

Answers

The temperature in Gainesville is 11°C.

How to calculate the value?

From the information given, the temperature in Elmwood is 20° and the temperature in Gainesville is 9°C colder than the temperature in Elmwood.

Therefore, the temperature in Gainesville will be:

= 20 - 9

= 11°C

Learn more about temperature on:

brainly.com/question/24746268

#SPJ1

The temperature in Elmwood is 20°C. The temperature in Gainesville is 9°C colder than the temperature in Elmwood

Pls help me

44.00 divided by 2.20
with problem work pLSS Help me !!

Answers

44.00 would be turned into 4,400 and 2.20 would be 220, divide 4,400 and 220 and that equals 20
20 bc 44 / 2.20 is equal to 20

The solution to a system of equations is (2,-4).one equation in the system is 2x+y=0.explain how you can find a second equation for the system.then find a second equation.solve by system of equations to justify your answer

Answers

The second equation is 3x + y = 2.

Let the other equation be of the form ax + by = c, where a, b and c are constants.

Given equation is 2x + y = 0

We have, a₁ = 2 and a₂ = 1

And b₁ = a and b₂ = b

Since, both equations have a unique solution,

∴ a₁ ÷ b₁ ≠ a₂ ÷ b₂

2 ÷ a ≠ 1 ÷ b

2b ≠ a                                               … (1)

                         

Also, (2, -4) is the solution of the equations, so it will satisfy the equations

2a - 4b = c

b = (2a - c)/4

Let c=2

b = (2a - 2) ÷ 4

b = 1

Now we can take any value for a and b which satisfy eq.(1)

Let a=3

b = (2(3) - 2) ÷ 4

b = 1

Thus, a = 3 and b=1 satisfy eq.(1)

Hence the second equation is 3x + y = 2

The equations are justified by keeping the values -

2x+y=0                               ... (2)

3x+y=2                             ... (3)

From eq.(2),

y=-2x

Putting value of y in eq. (3), we get,

3x+(-2x)=2

3x-2x=2

x=2

Now, putting x=2 in eq.(2)

2(2)+y=0

y=-4

Hence, the solution is justified.

Know more about Linear Equation with two variables: https://brainly.com/question/24085666

#SPJ4


Find the sum of (8.6 x 106) and (3.7 x 105). Write the final answer in scientific notation.
8.97 x 105
8.97 x 106
1.23 x 1010
12.3 x 1011

Answers

Answer:

8.97 x [tex]10^{6}[/tex]

Step-by-step explanation:

To add in scientific notation, the exponents need to be the same for the bases of 10.  You can either make them both to the exponent of 6 or 5.  It does not matter.  I made them both to the power of 5

(8.6 x [tex]10^{6}[/tex]) + (3.7 x [tex]10^{5}[/tex])

(86 x [tex]10^{5}[/tex]) + (3.7x[tex]10^{5}[/tex])  

(86 x 3.7) x [tex]10^{5}[/tex]

89.7 x[tex]10^{5}[/tex]  Rewrite in scientific notation

8.97 x [tex]10^{6}[/tex]

Which of the following numbers is the least LOOK AT NUMBER TWO ANSWERS

Answers

Answer:

A is least

Step-by-step explanation:

A= 560

B= 630

C= 568

D= 639

If you do 7 x 10 which equals 70 then do 70 by the power of 8 which is multiplying 70 8 times, you get 560 which is the least equation/answer out of all of them.

Answer:

A is the answer

Step-by-step explanation:

Since a and c are to the power of 8 while b and d are to the power of nine, it's between a and c

A.10*8=100000000×7= 700000000

C.10*8=100000000×7.1=710000000

Givien f (x) = -3x-1, solve for x when f(x) =-10

Answers

Answer:

x = 3

Step-by-step explanation:

Since both have f(x), the substitution method can be used.

1. f(x) = -3x - 1

2. f(x) = -10

Therefore,

-3x - 1 = -10

Flip to positive to calculate more easily since all are negative (although, this is optional.)

3x + 1 = 10

3x + 1 - 1 = 10 - 1 (to make one side x and other side number)

3x = 9

x = 3

Hope this helped! ^^

PLEASEEEEKKEJES HELPPPPPPPPO :)))

Answers

Answer:You have it right I think

2.46*10^6

Step-by-step explanation:

Because you move the decimal point over 6 spots which gives you the 10 to the sixth.

Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate. ages of children: 5, 6, 7, 8, and 9

Answers

There are four levels of measurements in statistics, namely nominal, ordinal, interval, ratio. These levels are important when it comes to analyzing data, since it helps us determine the technique that we can use to support or refute our study.

In the nominal level, we can categorize data but they cannot be ranked. An example would be hair color. In an ordinal data, the data can be both categorize and ranked, but doing mathematical calculation may not make sense. Also, the intervals between rankings doesn't necessarily dictate how close or far apart the data are.

A good example is level of education. In an interval level, the data can be categorized, ranked, and measured but they do not have a true zero. An example could be a range of values that does not include zero. Lastly, in the Ratio level the data can be categorized, rank, and measured, and it has a true zero.

So ratio level is most appropriate for ages of children. Note that ages can be categorized, rank, and measured .Moreover, an age equal to zero means that there is no age or the absence of age.  

Learn more about nominal, ordinal, at:

https://brainly.com/question/13168982

#SPJ4

Select the correct answer.
Simplify the following expression.
4 -11/3 divided by 4 -2/3
A 12
B. 1/64
C. 64
D. 12

Answers

The correct value of the expression is 4/5.

How to calculate the fraction?

The question is about simplifying 4 -11/3 divided by 4 -2/3.

It should be noted that 4 - 1 1/3 = 2 2/3

Also, 4 - 2/3 = 3 1/3

We will divide

2 2/3 ÷ 3 1/3

= 8/3 ÷ 10/3

= 8/3 × 3/10

= 4/5

Note that the correct option wasn't given.

Learn more about fractions on:

brainly.com/question/17220365

#SPJ1

Answer: The correct value of the expression is 4/5.

How to calculate the fraction?

The question is about simplifying 4 -11/3 divided by 4 -2/3.

It should be noted that 4 - 1 1/3 = 2 2/3

Also, 4 - 2/3 = 3 1/3

We will divide

2 2/3 ÷ 3 1/3

= 8/3 ÷ 10/3

= 8/3 × 3/10

= 4/5

Note that the correct option wasn't given.

Step-by-step explanation:

Graph the inequality x<3.

To graph an inequality, select the correct type of ray and then select the correct endpoint on the number line.

Answers

Answer:

You would start at 3 and then go backwords till the end.

So you'd choose the 3 option. <-o

Only use the filled in o if the equation is <_ with the line underneath, if its like < then its o

Hope this helps! <3

What is the slope of the line?

1/2
-1/2
-2
2

Answers

Answer:

1/2

Step-by-step explanation:

The ratio of boys to girls in the entire 7th grade is 7 to 8. Given this ratio, which two class compositions are possible?

A. 40 boys; 35 girls

B. 48 boys; 42 girls

C. 56 boys; 64 girls

D. 67 boys; 68 girls

E. 84 boys; 96 girls

Answers

Answer: c and e are correct answer.

Step-by-step explanation:

9(y^2+x)=18 in standard form

Answers

Answer:

9y^2 + 9x - 18 or 9(y^2 + x - 2)

Step-by-step explanation:

9(y^2+x)=18

9y^2 + 9x=18

9y^2 + 9x - 18 = 0

9(y^2 + x - 2) = 0

The formula for finding the perimeter of a rectangle is p= 2l 2w solve the formula for w.

Answers

Answer:

w = [tex]\frac{p -2l}{2}[/tex]

Step-by-step explanation:

p = 2l + 2w  Subtract 2l from both sides of the equation

p - 2l = 2p  Divide both sides by 2

[tex]\frac{p -2l}{2}[/tex] = w

George is comparing two different phones. The screen of phone A has a width of 5.3 cm. The width of the screen on phone B is 5 and one-third cm. Which statement explains which phone has the wider screen?

Answers

Answer:

Step-by-step explanation:

Screen B is wider

Write the distributive property of multiplication over addition a a conditional statement

Answers

The distributive property of multiplication over addition is A (B + C) = AB + AC.

Properties of Numbers.

Numbers are have 5 main properties of operation which are:

Closure PropertyAssociative PropertyCommutative PropertyDistributive PropertyIdentity Property

Given,

Here we have to write the distributive property of multiplication over addition of a conditional statement.

Basically, the distributive property defines the distributing ability of operation over another mathematical operation within a bracket.

It can be either distributive property of multiplication over addition or distributive property of multiplication over subtraction.

Here we need to write the distributive property of multiplication over addition of a conditional statement.

So, The distributive property of multiplication over addition is expressed as

=> A × (B + C) = AB + AC.

Let us verify this property with the help of an example.

For example:

The expression 2(1 + 4) using the distributive law of multiplication over addition.

=> 2(1 + 4) = (2 × 1) + (2 × 4)

⇒ 2 + 8 = 10

Hence, the distributive property of multiplication over addition is stated.

To know more about Distributive property of multiplication here.

https://brainly.com/question/11854348

#SPJ4

Find point G on AB such that the ratio of AG to GB is 3:2.

Answers

Using proportions, the coordinates of point G are given as follows:

(1.8, 1.6).

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

The points A and B are given as follows:

A(-3, 4) and B(5,0).

For this problem, we have that the ratio of AG to GB is 3:2, hence:

AG = 3/5AB

G - A = 3/5(B - A).

The x-coordinate of G is found as follows:

x + 3 = 3/5(5 + 3)

x + 3 = 4.8

x = 1.8.

The y-coordinate of G is found as follows:

y - 4 = 3/5(0 - 4)

y - 4 = -2.4

y = 1.6.

Hence the coordinates of point G are given as follows:

(1.8, 1.6).

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

Suppose that a system of seven equations with thirteen unknowns corresponds to a matrix in row echelon form. what is the largest possible number of pivots for this matrix?

Answers

For a system of seven equations with thirteen unknowns corresponds to a matrix in row echelon form. The largest possible number of pivots for this matrix is 7.

What is row echelon form and pivots?

Using a technique known as Gaussian elimination, any matrix can be converted to reduced row echelon form. This is especially useful for solving linear equation systems.

If a matrix has the following properties, it is in Row Echelon form:

The bottom of the matrix contains any row that is entirely made up of zeros.The first non-zero entry in each row which does not encompass entirely zeros is 1. (called a leading 1).The leading 1 in the higher row is even further left than the leading 1 in the lower row for two consecutive (non-zero) rows.

Pivoting is the process of transferring the first matrix to the second matrix utilizing row operations similar to equations.

The matrix "A" has three columns. As a result, there can only be three pivots, implying that at least one row of "A" in echelon type must be zero.

To know more about the row echelon form, here

https://brainly.com/question/24036095

#SPJ4

Solve the equation 4e - 5 + 2e = e + 3 - 2e
for e.

Answers

Answer:e=8/7=1.143

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    4*e-5+2*e-(e+3-2*e)=0

Add  8  to both sides of the equation :

                     7e = 8

Divide both sides of the equation by 7:

                    e = 8/7 = 1.143

And then you get

Divide both sides of the equation by 7:

                    e = 8/7 = 1.143

Answer:

                   4*e-5+2*e-(e+3-2*e)=0

Add  8  to both sides of the equation :

                    7e = 8

Divide both sides of the equation by 7:

                   e = 8/7 = 1.143

And then you get

Divide both sides of the equation by 7:

                   e = 8/7 = 1.143

Step-by-step explanation:

Other Questions
HELP NOWWW!!!!! PLEASEQuestion content area top Part 1 The coordinates of point T are (0,6). The midpoint of is (4,-6). Find the coordinates of point S. Question content area bottom Part 1 The other endpoint is enter your response here. (Type an ordered pair.) Question 15 (2.5 points)Using an interpreter is a common resolution to overcome a___________ barrier.stereotypingracismlanguageperception Which terms describes the decline of manufacturing paired with an increase in various types of services? Part of a multiplication table is shown.15 20 25 301830 362135 4224 32 40 48What two numbers are needed to complete the pattern inthe multiplication table?OA) 21 and 24OB) 24 and 24OC) 24 and 28OD) 21 and 28 The goal of many interactive, digital entertainment activities is to make the user feel as if ______. does someone mind helping me with this? Thank you! What is the circumference of a radius equals 6 inches Which function would you use if you wanted to count the number of values, but ignore cells that have text or are empty? what type of cell transport uses carrier proteins Which group of people created civilizations in Mexico and built the first cities on the North American continent? Sheldon company had owner investments of $1,000; net income during the period of $5,000; and owner withdrawals of $250. the ending balance in the owner's capital account is:__________ Which layer of the atmosphere holds the ozone layer?Answer here__________ Derek, a single taxpayer, has agi of $55,200 which includes $5,000 of qualified dividends. derek does not itemize deductions. what is his 2019 federal income tax? The most probable price which a property will bring in a competitive and open market under all conditions requisite to a fair sale is? A difference in solute concentration can exist between the cytosol and the interstitial fluid because the ______ prevents their movement. What group is obtained by adding or deleting from each of the following groups the indicated symmetry operation? a) c3 plus i b) c3v plus i c) c3h minus s35 d) c3 plus s6 3.7+5.894+782.52= in sig fig rules Place the steps of the research cycle in the correct order, and determine where the inductive and deductive approaches begin in the cycle. Several brokerages in a certain area agree to stop running advertisements in a local publication. what type of antitrust violation is this? Please help due soon.