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malfutka [58]
3 years ago
13

Mary Beth would like to buy a more fuel-efficient vehicle instead of driving her mom's gas-guzzler. Assuming she can find a car

that gets 32 miles per gallon (mpg) and her mom's car gets only 16 mpg, how much will she save if she usually drives about 3,000 miles a year and average price of gas is $3.75 a gallon?
Mathematics
1 answer:
ozzi3 years ago
8 0

Answer:

2x as much

Step-by-step explanation:

First write as an equation:

<u>3000/32*3.75 =</u>

3000/16*3.75

Then that equals:

0.5

So that means her mom's car would be half as efficent as the new one

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aleksandrvk [35]

First you must have the quadratic equal to zero. In order to do this you must subtract 7 to both sides

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Now you must find two numbers who's sum equals 20 and their multiplication equal 93

Are there any? NO!

This means that you have to use the formula:

\frac{-b±\sqrt{b^{2} - 4ac} }{2a}

In this case:

a = 1

b = 20

c = 93

\frac{-(20) plus/minus\sqrt{20^{2} - 4(1)(93)} }{2*1}

\frac{-20 plus/minus\sqrt{400 - 372} }{2}

\frac{-20 plus/minus\sqrt{28} }{2}

^^^We must simplify √28

√28 = 2√7

so...

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simplify further:

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Hope this helped!

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7 0
3 years ago
2. Find the volume of the cylinder pictured below. Use 3.14 for pi. Give your answer to the nearest tenth. Show your work to rec
Blababa [14]
Question 2

------------------------------------------------------------------------------------------
Formula
------------------------------------------------------------------------------------------
Volume of the cylinder = πr²h

------------------------------------------------------------------------------------------
Find Radius
------------------------------------------------------------------------------------------
Radius = Diameter ÷ 2
Radius = 10 ÷ 2
Radius = 5 ft

------------------------------------------------------------------------------------------
Find Volume
------------------------------------------------------------------------------------------
Volume = πr²h
Volume = 3.14 x 5² x 21
Volume = 1648.5 ft³

------------------------------------------------------------------------------------------
Answer: Volume = 1648.5 ft³
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Question 3

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Formula
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Volume of a sphere = 4/3πr³

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Find Volume
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Volume = 4/3 x 3.14 x 20³
Volume = 33493.3 ft³ (nearest tenth)

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Answer: Volume = 33493.3 ft³ 
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2 years ago
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