determine the position of each hidden term. -14 is the _th term of 2 1/5, 2 , 1 4/5

The perpendicular slope is expressed as the negative reciprocal of the slope or − 1 m. In this scenario, the slope, or m, is −4 so the slope of the perpendicular line is − 1 −4 which simplifies to 1 4

Answer:

Step-by-step explanation:12

Answer:

He will pay $1,050 interest

Step-by-step explanation:

5% interest is paid every year for 3 years

5% * 3(years) = 15%

7000 * 15% = $1,050

$1,050

Answer:

118

Step-by-step explanation:

The key piece of information to focus on is that there are around 120 fruits. 15 is the biggest of the given divisors, and the gaps between multiples of 15 is the greatest (compared to 4 and 6) which will narrow down our options. Therefore we can first try approaching the problem by finding multiples of 15 that are close to 120.

The question says that when the number (let's call it A) is divided by 15, it leaves 13. Therefore we can express A as such:

A-13 = 15x OR 15x + 13 = A

Where 'x' represents a whole number showing that the number is divisible by 15.

The closest multiples of 15 to 120 are 105 (15*7), 120 (15*8), and 135 (15*9).

A is one of these numbers + 13, let's see which ones are closest:

105+13 = 118, 120+13 = 133, 135+13 = 148

118 is very close to 120, so let's check it with the other numbers:

118/4 = 29 r 2

118/6 = 19 r 4

The exact number of fruits is 118.

Hope this helped!

Answer:

118

Step-by-step explanation:

We are told that there are about 120 fruits.

Fruits divided equally among 4 students

Multiples of 4:  4, 8, 12, ... 112, 116, 120, 124, ...

Therefore, 116, 120 and 124 are closest to 120.

Add the given remainder of 2 to these numbers:

Fruits divided equally among 6 students

Multiples of 6:  6, 12, 18, ... 108, 114, 120, 126 ...

Therefore, 114, 120 and 126 are closest to 120.

Add the given remainder of 4 to these numbers:

Fruits divided equally among 15 students

Multiples of 15:  15, 30, 45, ... 105, 120, 135, ...

Therefore, 105, 120 and 135 are closest to 120.

Add the given remainder of 13 to these numbers:

Therefore, as the total of 118 fruits is common to all three groups the exact number of fruits is 118.

Check

Divide 118 by each group of students:

As the remainders concur with the given amount of fruit left over for each group of students, this verifies that the exact number of fruits is 118.

Answer:

2/3

Step-by-step explanation:

An angle is denoted by the angle symbol ∠ and the three letters representing the name of the angle.

An angle is denoted by the angle symbol ∠ which is then being followed by three letters that will represent the points that form an angle.

Lets say for example, the expression ∠ABC will mean that “the angle is formed by the points A, B and C”

where the vertex of the angle is at the point B as it is in the middle.

Angles can also be of different types like:

An Acute Angle which means an angle is less than 90 degrees.

A Right Angle which means an angle which is exactly 90 degrees.

An Obtuse Angle which is an angle more than 90 degrees and less than 180 degrees.

A Straight Angle which is an angle that is exactly 180 degrees.

And a Reflex Angle which is an angle greater than 180 degrees and less than 360 degrees.

Therefore, an angle is denoted by the angle symbol ∠ and the three letters representing the name of the angle.

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Answer:

Perimeter=16cm

Area=16cm

Step-by-step explanation:

we know that all 4 sides of square are equal. So,

Length of 4 sides of square= 16cm

Length of 1 side of square= 16/4cm=4cm

Now that we have found the length of single side of square, by using the formula of area and perimeter we can get of square like this:

Perimeter= 4 times the length of square

or,Perimeter= 4*4

Therefore,Perimeter=16 cm

Now,

Area=square of length of side

or,Area=4^2

Therefore, Area=16 cm

1. The two points that lie on a line with a slope of 2/3 are: D. (–3, 2) and (0, 4)

2. The slope is: B. 0.

The formula for finding the slope of a line is:

Slope (m) = change in y/change in x

1. To find the two points that has a slope of 2/3, calculate the slope of each of them:

Slope for A = (0 - 0)/(3 - 2) = 0

Slope for B = (-4 - 2)/(3 - 1) = -3

Slope for C = (3 - 0)/(2 - 0) = 3/2

Slope for D = (4 - 2)/(0 -(-3)) = 2/3

Therefore, the two points that lie on a line with a slope of 2/3 are: D. (–3, 2) and (0, 4)

2. Slope of the line = change in y / change in x = (-1 -(-1))/(-3 - 6)

Slope (m) = 0/-9

Slope (m) = 0

The slope is: B. 0.

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The equation of the line is y = -7.5x - 2.5

The given parameters are

y-intercept = -5/2

x-intercept = -1/3

A linear equation is represented s

y = mx + c

Where

c = y-intercept = -5/2

So, we have:

y = mx - 5/2

The equation x-intercept = -1/3 means that

y = 0 and x = -1/3

So, we have

0 = -1/3m - 5/2

This gives

1/3m = -5/2

Evaluate

m = -15/2

Substitute m = -15/2 in y = mx - 5/2

y = -15/2x - 5/2

Rewrite as

y = -7.5x - 2.5

Hence, the equation of the line is y = -7.5x - 2.5

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The value of the quantity d is 0.0462 m^2/s.

Here,

The quantities a=3.7m, b=3.7s, c=80m/s.

We have to find the value of d = a^3/cb^2

What is quantity?

A quantity is an amount, number, or measurement that answers the question 'how much?' Quantities can be expressed in numbers or non-standard units.

Now,

The quantities a=3.7m, b=3.7s, c=80m/s.

The value of d;

[tex]d = \frac{a^{3} }{cb^{2} }[/tex]

[tex]d = \frac{3.7*3.7*3.7 }{80 * 3.7^{2} }[/tex]

[tex]d = \frac{3.7}{80}[/tex]

[tex]d = 0.0462[/tex]

Hence, The value of the quantity d is 0.0462 m^2/s.

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The value of x in the angles is 17

The angles are given as

3x + 10 and 2x - 5

These angles are complementary angles

So, we have

3x + 10 + 2x - 5 = 90

Collect the like terms

So, we have

3x + 2x + 10 - 5 = 90

Evaluate the like terms

So, we have

5x = 85

Divide both sides by 5

x = 17

Hence, the value of x in the angles is 17

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When two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is weak correlation.

We need to find the type of correlation when two variables vary along with each other but the data points are loosely scattered around the line of best fit.

A scatter plot helps find the relationship between two variables. This relationship is referred to as a correlation. Based on the correlation, scatter plots can be classified as follows.

A weak positive correlation indicates that, although both variables tend to go up in response to one another, the relationship is not very strong. A strong negative correlation, on the other hand, indicates a strong connection between the two variables, but that one goes up whenever the other one goes down.

Therefore, when two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is weak correlation.

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Given [tex]-6x-20[/tex]

Proof that it is equal to the [tex]-2x + 4(1 - 3x)[/tex] or not

[tex]-2x + 4(1 - 3x)[/tex]

Distribute

[tex]-2x+ 4-12x[/tex]

[tex]4-14x[/tex]

Not equal to the [tex]-6x-20[/tex] [tex]\neq[/tex] [tex]4-14x[/tex]

So, it is false

What is Distribute in math?

To "distribute" anything is to divide it up or to give someone a piece of it.

What does the mathematical distributive property mean then?

The distributive property is the distributive law of multiplication over operations in fundamental arithmetic, such as addition and subtraction.

Distributive property: What Is It?

This property states that multiplying the total of two or more addends by a number will provide the same outcome as multiplying each addend by the number separately and then adding the results together.

In other words, an expression of the type A (B + C) can be resolved as A (B + C) = AB + AC in accordance with the distributive property.

This characteristic also holds for subtraction.

A(B-C) = AB-AC

This demonstrates that the other two operands share operand A.

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Answer:

false

Step-by-step explanation:

The width and length of the field are 160ft and 200ft respectively

When both the given variables are related to each other, we are required to consider one variable as x and the other as a function of x to solve accordingly

Let the width of the football field be 'x' ft.

then according to given data,

length= 200 ft more than width= (x+200)ft

According to given,

Perimeter of the given field =2L+2W=1040

where L is length and W is the width

Now putting the values of length and width earlier derived, we get:

2(x)+2(x+200) =1040

2x+2x+400=1040

4x+400=1040

4x=1040-400

4x=640

x=160ft

Now, the width of the field= x=160ft

length of the field= x+200=160+200=360ft

Hence the length and the width of the field are 160ft and 360ft

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Answer:

So bassiccalyy the answer is 3344/3 because it is not equivalent to 4

Answer:

x = 64

Step-by-step explanation:

The interior angles of a triangle add up to 180 degrees, so the missing angle in the triangle on the right has an angle measurement of 180 - 47 - 81 = 52 degrees.

Since the angle and the rightmost angle in the triangle on the right are vertical angles. They are congruent.

Finally, since the triangle on the left is an isosceles triangle and the base angles, the angles on the top left and bottom left, are congruent and therefore their angle measures are both x degrees. So, 2x + 52 = 180 and x = 64.

Answer:

Top to bottom

1

30

9

45

Step-by-step explanation:

Answer: 5.2

Step-by-step explanation:

If we put both points on a grid, Jordan's house would be 4 points above and 3 points to the left of Ca'Miyah's. We can plug these two amounts into the pythagorean theorem to find the distance between the houses: 4^2 + 3^2 = x^2. If we solve this equation, we get 5.196, which rounds to 5.2.

Hope this helps!

Answer:

a

Step-by-step explanation:

the unknown value is n then 3 less than this value is

n - 3

Answer:

answer is C

because other equations normally n>3 but C equation normally is n<3

so answer is C

The unit rate is 30 miles per gallon

The number of miles travelled is 360 miles

The number of gallons is 12 gallons

Therefore the unit rate can be calculated as follows

Unit rate= 360/12

= 30

Hence the unit rate is 30 miles per gallon

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Answer:

-4/7, 1/19, 7/4

Step-by-step explanation:

-4/7 is less then zero, and the only negative number so it is first

1/19 is the second lowest

7/4 is the highest because it is the only one that is greater then 1. (simplified, 7/4= 1 3/4)

The annual interest rate is 6.69%  for 3 years at compound interest.

What does the term "compound interest" mean?

[tex]A = P.( 1 + \frac{r}{n} )^{n.t}[/tex]

p = 5600

t = 3

I = 1200

n = 1

The interest  earned I is

I = [tex]P. ( 1 + \frac{r}{n} )^{n.t} - P[/tex]

1200 = [tex]5600 . ( 1 + \frac{r}{1} )^{1.3} - 5600[/tex]

[tex]1200 = 5600 .( 1 + r )^{3} - 5600[/tex]

[tex]\frac{1200}{5600} = ( 1 + r)^{3} - 1[/tex]

[tex]\frac{3}{14} = ( 1 + r )^{3} - 1\\[/tex]

[tex]\frac{17}{14} = ( 1 + r)^{3}[/tex]

Take the log base 10 of both sides

log17 - log14 = 3.log( 1 + r)

1.23045 - 1.14613 = 3.log( 1 + r)

3.log( 1 + r) = 0.084322

log( 1 + r) = 0.028107

1 + r = [tex]10^{0.28107}[/tex]

1 + r = 1.06686

r = 0.06686

The annual interest rate is 6.69%.

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4 people can go to the amusement park.

Let the number of people that can go to amusement park be x.

The parking fee will be paid once only, while cost of ticket will be multiplied based on the number of people.  

Forming equation as per the given information in question -

11.25 + 35.75 × x = 154.25

Solving the equation as per the operators -

Shifting 11.25 to Right Hand Side of the equation

35.75x = 154.25 - 11.25

Performing subtraction on Right Hand Side of the equation

35.75x =  143

Shifting 35.75 to Right Hand Side of the equation

x = 143 ÷ 35.75

Performing division on Right Hand Side of the equation

x = 4

Therefore, 4 people can go to the amusement park.

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Answer:

0.84

4.48

5.32

Step-by-step explanation:

Answer:

4, 7

Step-by-step explanation:

x = y + 3

y² + 12 = 4x

using the first equation in the second

y² + 12 = 4(y + 3) = 4y + 12

y² = 4y

y = 4

x = y + 3 = 4 + 3 = 7

All values of y in the simplest form are 3 and -3

The equation is given as

21 = |7y|

The above equation is an absolute value equation

When the above equation is expanded, we have the following equations

So, we have

-21 = 7y and 21 = 7y

Divide both sides of the equations by 7

So, we have

-3 = y and 3 = y

Rewrite as

So, we have

y = -3 and y = 3

Hence, all values of y in the simplest form are 3 and -3

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