Lester’s car can go 15.4 miles on 1 gallon of gas. How far can he go on 0.7 gallon?

Mathematics

1 answer:

MAVERICK [17]3 years ago

7 0

Answer:

He can go 10.78 miles

Step-by-step explanation:

This problem can be solve by creating a proportion, knowing that 15.4 miles is to one gallon the same as "x" miles (our unknown) is to 0.7 gallons. This can be set in math terms as the equation that relates these two ratios of miles per gallon:

$\frac{15.4\,miles}{1\,gallon} =\frac{x }{0.7\,gallon}$

and to solve for the unknown number of mile, we multiply both sides of the equation by "0.7 gallon" in order to isolate our unknown:

$\frac{15.4\,miles}{1\,gallon} =\frac{x}{0.7\,gallon}\\\frac{15.4\,miles\,*\,0.7\,gallon}{1\,gallon} =x \\x=10.78\,miles$

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A bird leaves its nest and travels 12 miles per hour downwind for x hours. On the return trip, the bird travels 2 miles per hour

aalyn [17]

12x = 10x + 3

Subtract 10x from both sides

2x = 3
Divide by two on each side

x = 3/2 or 1 1/2 hours

Distance of the trip:

12 * 2 * 3/2 = 36 miles

How long does the trip take:

3/2 + 3/2 + 3/10 = 3 3/10 hours

6 0

3 years ago

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Simplify the expression. Write your answer as a power. <img src="https://tex.z-dn.net/?f=%285%5E%7B4%7D%20%29%5E%7B3%7D" id=

Charra [1.4K]

Answer:

$5^{12}$

Step-by-step explanation:

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