what is the answer to the question?​

Answer:

Yes, your total savings on gas is proportional to the number of beverages you purchase.

Step-by-step explanation:

What is a proportional relationship?

A proportional relationship, also known as direct relation, between two variables exists when the ratio between every pair of data is constant.

In this case the variables are:

number of beverage purchased

savings

Thus, as per every beverage purchase you save $ 0.20 the ratio of total savings to the number of beverage purchases is:

savings / beverages purchase = $ 0.20 / beverage

That means that you can determine the savings by multipliying the number of beverages times $ 0.20.

For proportional relationships it is easy to build a table that shows the behavior of the variables. This shows you that:

Number of beverages   savings    ratio

        1                              $ 0.20      $0.20 / 1 beverage = 0.20

        2                             $ 0.40      $0.40 / 2 beverages = 0.20

        3                             $ 0.60       $0.60 / 3 beverages = 0.20

        4                             $ 0.80       $0.80 / 4 beverages = 0.20

Answer:

-8=6-7x (subtract 6 from both sides)

-14=-7x (divide each side by -7)

x=2

the answer is C

Answer:

c: 2

Step-by-step explanation:

-8 = 6 -7x, isolate the -7 by moving the 6 to the left side of the equation so it becomes -8-6 = -7x --> -14 = -7x and then divide by both sides by -7 and then you get x =2, you can plug in the number back into the equation to make sure

The equation of the line passing through the point ( -1,-3) will be y = -2x - 5.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

Given that the line passes through the point (-1, -3) and is perpendicular to the line x –2y = 14. the equation of the line will be calculated as:-

Make equation: y = mx + b

x = 2y + 14

2y = x - 14

y = 1/2x - 7

For a line perpendicular, the sign will be opposite and the slope will be reciprocal.

y = -2x + b

-3 = -2(-1) + b, b = -5

The equation of the line will be written as below:-

y = -2x - 5

Therefore, the equation of the line passing through the point ( -1,-3) will be y = -2x - 5.

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Answer:

37

Step-by-step explanation:

Answer:

7/9

Step-by-step explanation:

To add fractions, you have to have like denominators. First find the LCM (Least Common Multiple) of both denominators. That is 9. The second fraction already has a denominator of 9, so leave it as is. The first fraction doesn't so what will happen is you will be converting it into a fraction with a denominator of 9. Multiply the denominator by 3 to get 9. Then multiply the top by 3 because whatever you do to the bottom you do the top. You will then get 3/9. 3/9+4/9 is equal to 7/9 because you just add the numerators, but keep the denominators the same.

Answer:

A dog kennel owner wants to enclose a rectangular dog run. She

wants it to be five times as long as it is wide. She cannot use

more than 100 feet of fencing. Describe the dimensions of the

dog run.

****For word problems you must define the variable for the situation & write a

sentence to describe the solutions. **

Step-by-step explanation:

Answer:

This graph has been translated. Translation is when the image on the graph has been shifted along one or both of the axis. In this case, the graph has been shifted up two units as shown by the operation of addition on the y-value. Remember that translations are rigid movements, so the new image will be congruent to the pre-image.

Answer:

6x - 2y

Step-by-step explanation:

3x - 4y + 3x + 2y

combine like terms

6x -2y

hope this helps!!!

Answer:

a: (4,4)  B:(10,6)  C:(0,2)  D: over 12  E: over 3, up 2  F: up 7

Answer:

16

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

r=48.5/2

r=48.5/6.2831853071796

r=7.71901474

7.7

Answer:

A) 4k + 3p < 36

B) 3 kitten magazines and 4 puppy magazines

4 kitten magazines and 6 puppy magazines

C) If bill bought 3 kitten magazines, then he buys less than 8 puppy magazines.

Step-by-step explanation:

Let:

The number of kitten magazines = k

The number of puppy magazines = p

A) Write an inequality that describes the situation

We are told:

Bill spent less than $36 on Kitten and puppy magazines kitten magazines cost $4 each and puppy magazines cost $3 each

Hence:

$4 × k + $3 × p < 36

4k + 3p < 36

B) List two possible combinations of puppy and kitten magazines

4k + 3p < 36

Bill can buy:

3 kitten magazines and 4 puppy magazines

4 kitten magazines and 6 puppy magazines

C) If bill bought 3 kitten magazines, how many puppy magazines can he buy?

Using the inequality above:

4k + 3p < 36

4k + 3p < 36

4 × 3 + 3p < 36

12 + 3p < 36

3p < 36 - 12

3p < 24

p < 24/3

p < 8

If bill bought 3 kitten magazines, then he buys less than 8 puppy magazines.

A quadratic equation is an equation that can be placed in the form a·x² + b·x + c = 0

The option that gives the true statement about the quadratic equation is option C.

C. There are two complex solutions

Reason:

The given quadratic equation can be presented as follows;

y = -2·x² + 9·x - 12

The factored form of the quadratic equation is presented as follows;

The radical of the given quadratic equation is therefore;

[tex]\sqrt{9^2 - 4 \times (-2) \times (-12)} = \sqrt{81 - 96} = \sqrt{-15}[/tex], which gives the following solutions;

[tex]x = \dfrac{(-9\pm\sqrt{-15} )}{2 \times (-2)} = \dfrac{-9 \pm \sqrt{-15} }{-4}[/tex]

[tex]x = \dfrac{-9 +\sqrt{-15} }{-4} \ or \ x = \dfrac{-9 -\sqrt{-15} }{-4}[/tex]

Therefore there are two complex solutions;

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Answer:

the answer is c

Step-by-step explanation:

There are two complex solutions.

Answer:

y = -2x + 5

Step-by-step explanation:

y = mx + b                  points on the graph: (0,5)    (1,3)

y = mx + 5

[tex]\frac{5-3}{0-1}[/tex] = [tex]\frac{2}{-1}[/tex] = -2

y = -2x + 5

Answer:

4

Step-by-step explanation:

Answer:

243

Step-by-step explanation:

Answer:

Option C

Step-by-step explanation:

x - 3 = 0

Add 3 to both sides;

x = 3

x + 2 = 0

Subtract 2 from both sides;

x = -2

x - 2 = 0

Add 2 to both sides;

x = 2

Answer:

Joe will run 22.08 miles in 230 minutes.

Step-by-step explanation:

so Joe running the miles in 1 minute is = 12/125 = 0.096 miles

As Joe runs 0.096 miles in one minute.

Thus, in 230 minutes, Joe will run = 0.096 × 230 = 22.08 miles

Therefore, Joe will run 22.08 miles in 230 minutes.

Answer:

4/5

Step-by-step explanation:

Rise = 4

Run = 5

~theLocoCoco

Answer:

4/5

Step-by-step explanation:

It would be 288 ft.

Answer:

x=24

Step-by-step explanation:

Step 1: Add 3 to both sides: 1/2x-3+3=9+3

Simplify that: 1/2x=12

Step 2: Multiply both sides by 2: 1/2x*2=2*12

Simplify: x=24

Hope this helped! :)

Answer

The arc length of the semicircle is  5[tex]\pi[/tex] units or 15.7[tex]\pi[/tex] units

The arc length of the semi-circle will be equal to 11π.

The arc length of the semicircle is defined as the length of the curved path of the circle.

The arc length will be calculated as follows:-

Arc = π x r

Arc = π x 11

Arc = 11π

Therefore the arc length of the semi-circle will be equal to 11π.

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Answer:

7 km

Step-by-step explanation:

let the speed of boat in still water is x km/hr. 

given speed of stream is 3 km/hr. 

then speed of boat upstream = ( x - 3) km/hr

speed of boat downstream = (x + 3 ) km/hr 

Distance travelled upstream = 4 km

time taken to travel upstream = distance travelled upstream / speed of boat 

upstream

= 4 / (x - 3 ) .............(1) 

Distance travelled downstream = 10 km

time taken to travel downstream = distance travelled downstream / speed of boat 

downstream

= 10 / (x + 3) ............(2)

given that boat takes same time to travel upstream and downstream.i.e; (1) & (2) are equal

i.e. 4/(x-3) = 10/ (x + 3 ) 

4 * (x +3 ) = 10 * (x- 3)

4x + 12 = 10x - 30

12 + 30 = 10x -4x 

42 = 6x 

x = 42 / 6 = 7. 

i.e speed of boat in still water is 7 km/hr.

Answer:

3x^2+17x+20

Step-by-step explanation:

Answer: x = y

y = -4

y = 3x + 2

x = 8

Simplify: (-3a2b5)2

Find (x - 4)2`Find the product: (3x + 5)(4x - 1)

Use FOIL:

F: 3x*4x=12x^2

O: 3x*-1 = -3x

I: 5*4x = 20x

L: 5*-1 = -5

Combine these products to get:

12x^2+17x-5

------------------------

Which of the following is the equation of a vertical line?

x = y

y = -4

y = 3x + 2

x = 8

Answer x=8 ; The graph is the set of points where x=8.

-----------------------

Simplify: (-3a2b5)2

=(-3a^2b^5)(-3a2b^5)

=9a^4b^10

------------

Find (x - 4)^2

=(x-4)(x-4)

Use FOIL to get:

x^2-4x-4x+16

=x^2-8x+16

Step-by-step explanation:All work needed to arrive at a correct answer. If it is not a question that requires work, you will need to provide a complete explanation of how you determined the correct answer. (Explanations for those problems not requiring work must demonstrate your understanding of the concept.)

Answer:

Y=1/2x+2

Step-by-step explanation:

The slope is always rise/run and the Y intercept is 2.