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LiRa [457]
3 years ago
10

A family has two cars. the first car has a fuel efficiency of 20 miles per gallon of gas and the second has a fuel efficiency of

25 miles per gallon of gas. during one particular week, the two cars went a combined total of 775 miles, for a total gas consumption of 35 gallons. how many gallons were consumed by each of the two cars that week?
Mathematics
1 answer:
tatyana61 [14]3 years ago
4 0
Let's call the fuel consumption of the first car "x" and the second car "y"
x + y = 35 is the total fuel consumed.
20x + 25y = 775 is the distance traveled.
Solve the two equations. Skipping a few steps, I get 
5y = 75. Therefore y = 15. So y used 15 gallons of gas. Therefore x used 20 gallons.

20 gallons, 15 gallons.

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The equation 3x² - 48x + 6856 represents the area of the gym and track together in terms of width.

<h3>What is the area of the rectangle?</h3>

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

We have:

A rectangular building for a gym is three times as long as it is wide. Just inside the walls of the building, there is a 6ft rectangular track along the walls of the gym and has an area of 7000ft²

Let x be the width of the rectangle.

As the area of track along the walls of the gym is 7000ft²

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After simplifying:

3x² - 48x + 6856 = 0

Thus, the equation 3x² - 48x + 6856 represents the area of the gym and track together in terms of width.

Learn more about the rectangle here:

brainly.com/question/15019502

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