Question

If the ratio StartFraction negative 294 Over x plus 10 EndFraction is equivalent to 21​, find the value of x. Use pencil and paper. Write another pair of equivalent ratios like these. Show how to find the value of x.

Answer 1

Answer:

(1)x=-24

(2)Another pair of equivalent ratio is:

$\dfrac{-64}{x+5}=8 where x=-13$

Step-by-step explanation:

Given the ratio:

$\dfrac{-294}{x+10}=21$

Part 1: We determine the value of x.

$\dfrac{-294}{x+10}=21\\ Cross multiply \\21(x+10)=-294\\21x+210=-294\\ Collect like terms \\21x=-294-210\\21x=-504\\ Divide both sides by 21 \\x=-24$

Part 2: We write another pair of equivalent ratios.

Let

$\dfrac{-64}{x+5}=8\\ Cross multiply \\8(x+5)=-64\\8x+40=-64\\ Collect like terms \\8x=-64-40\\8x=-104\\ Divide both sides by 8 \\x=-13$