3 years ago

A variable needs to be eliminated to solve the system of equations below. Choose the correct first step.

Mathematics

1 answer:

Leokris [45]3 years ago

7 0

Answer:

Step-by-step explanation:

Hey could U help me with this question

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The van traveled 120 miles in 7 hours. How long would it take to travel 1400 miles at the same speed? (A) 5/3 hrs (B) 81 2/3 hrs

trapecia [35]

Answer:

$81\frac{2}{3}$ hours

Step-by-step explanation:

Hi there!

<u>1) Create a proportion</u>

The van traveled 120 miles in 7 hours
The van travels 1400 miles in x hours

$\frac{7h}{120mi}=\frac{x}{1400 mi}$

$\frac{7}{120}=\frac{x}{1400}$

<u>2) Solve for x</u>

$\frac{7}{120}=\frac{x}{1400}$

Multiply both sides by 1400

$\frac{7}{120}*1400=\frac{x}{1400}*1400$

$\frac{245}{3} =x$

$81\frac{2}{3} =x$

Therefore, it would take the van $81\frac{2}{3}$ hours to travel 1400 miles at the same speed.

I hope this helps!

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