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2 years ago

5

Ellie is driving at a speed of 55 miles per hour. Let h represent the number of hours that Ellie drive at this speed. Write an a

lgebraic expression to represent the number of miles that Ellie drives during this time

1 answer:

loris [4]2 years ago

4 0

I believe it would be 55 x h.

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Car A's fuel efficiency is 34 miles per gallon of gasoline, and car B's fuel efficiency is 23 miles per gallon of gasoline. At t

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Answer:

22 more gallons.

Step-by-step explanation:

Given:

Car A's fuel efficiency is 34 miles per gallon of gasoline.

Car B's fuel efficiency is 23 miles per gallon of gasoline.

Question asked:

At those rates, how many more gallons of gasoline would car B consume than car A on a 1,564 miles trip?

Solution:

<u>Car A's fuel efficiency is 34 miles per gallon of gasoline.</u>

<u>By unitary method:</u>

Car A can travel 34 miles in = 1 gallon

Car A can travel 1 mile in = $\frac{1}{34} \ gallon$

Car A can travel 1564 miles in = $\frac{1}{34} \times1564=46\ gallons$

<u>Car B's fuel efficiency is 23 miles per gallon of gasoline.</u>

Car B can travel 23 miles in = 1 gallon

Car B can travel 1 mile in = $\frac{1}{23} \ gallon$

Car B can travel 1564 mile in = $\frac{1}{23} \times1564=68\ gallons$

We found that for 1564 miles trip Car A consumes 46 gallons of gasoline while Car B consumes 68 gallons of gasoline that means Car B consumes 68 - 46 = 22 gallons more gasoline than Car A.

Thus, Car B consumes 22 more gallons of gasoline than Car A consumes.

<u />

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3 years ago

The functions f(x) = (x + 1)2 − 2 and g(x) = -(x − 2)2 + 1 have been rewritten using the completing-the-square method. Is the ve

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Step-by-step explanation:

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3 years ago

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$\qquad\qquad\huge\underline{{\sf Answer}}♨$

Let's solve ~

$\qquad \sf \dashrightarrow \: - \frac{ 3}{5} m + 8 = 20$

$\qquad \sf \dashrightarrow \: - \frac{ 3}{5} m = 20 - 8$

$\qquad \sf \dashrightarrow \: - \frac{ 3}{5} m =12$

$\qquad \sf \dashrightarrow \: - \frac{ }{} m =12 \times \frac{5}{3}$

$\qquad \sf \dashrightarrow \: - m = 4 \times 5$

$\qquad \sf \dashrightarrow \:m = - 20$

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