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frozen [14]
2 years ago
6

Victor was having a hard time deciding which new vehicle he should buy. He decided to make the final decision based on the gas e

fficiency of each car. A car that is more gas efficient gets more miles per gallon of gas. When he asked the manager at each car dealership for the gas mileage data, he received two different representations, which are shown below.
Mathematics
1 answer:
Amanda [17]2 years ago
6 0

Answer:

Victor should buy Legend because it has a better unit rate

<em></em>

Step-by-step explanation:

See attachment for complete question.

To determine which car has more gas efficiency, we have to calculate the slope of each car.

Vehicle 1: Legend

Take any two corresponding points from the table

(x_1,y_1) = (4,72)

(x_2,y_2) = (12,216)

The slope is then calculated using;

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{216 - 72}{12 - 4}

m = \frac{144}{8}

m = 18

<em>This implies that this vehicle (legend) travels 18 miles per gallon of gas</em>

Vehicle 2: Supreme

Take any two corresponding points from the graph

(x_1,y_1) = (0,0)

(x_2,y_2) = (15,250)

The slope is then calculated using;

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{250 - 0}{15 - 0}

m = \frac{250}{15}

m = 16.7

This implies that this vehicle (supreme) travels 16.7 miles per gallon of gas

<em>Base on the calculations above, Victor should buy Legend because it has a better unit rate</em>

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A cylinder has radius 2.5 cm and lateral area 20 pi cm^2. What is the surface area of the cylinder in terms of pi?
Novosadov [1.4K]
This is the concept of areas of solid materials; the surface area of the cylinder whose radius is 2.5 cm and lateral area is 20 pi cm^2 will be: Surface area of cylinder is given by:
SA=(area of cyclic sides)+(lateral area)
SA=2πr^2+πrl
Area of the cyclic sides will be:
Area=2πr^2
=2*π*2.5^2
=12.5π cm^2
The lateral area is given by:
Area=20π cm^2
Therefore the surface area of cylinder will be:
SA=(12.5π+20π) cm^2
SA=32.5π cm^2
The answer is 32.5π cm^2

4 0
3 years ago
A line that includes the point (-11,-1) has a slope of 1. What is it's equation in slope intercept form.
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Answer:

y - 1 = 1( x -11)

Step-by-step explanation:

I hope this helps you out!

3 0
2 years ago
I need to solve this to get zero can you help?
Alex

Given a right triangle with the side lengths of legs = 9 and 13

For the required angle :

opposite side = 9

adjacent side = 13

so,

\begin{gathered} \tan \theta=\frac{opposite}{adjacent}=\frac{9}{13} \\  \\ \theta=\tan ^{-1}\frac{9}{13}=34.7 \end{gathered}

7 0
1 year ago
I need help with this whole page
attashe74 [19]
Number 1 is correct
Number 2: you just have to divide like in number one
Number 3: add 9.72 plus 5.40 and divide by 2
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3 years ago
Solve for the following y: -6x +2y=8
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-4/3+1/3y I hope thats right 
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