Answered

Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

What is the value of [tex]\( x \)[/tex] in the rational equation [tex]\(\frac{4}{7} = \frac{20}{x}\)[/tex]?

A. [tex]\(1 \frac{2}{5}\)[/tex]
B. 5
C. [tex]\(11 \frac{3}{7}\)[/tex]
D. 35

Sagot :

GinnyAnswer
To solve the equation [tex]\(\frac{4}{7} = \frac{20}{x}\)[/tex], let's follow these steps:

1. Cross Multiply:
Cross multiplying the equation helps eliminate the fractions. This means we multiply the numerator of one fraction by the denominator of the other fraction:
[tex]\[ 4 \cdot x = 20 \cdot 7 \][/tex]

2. Simplify Both Sides:
Simplify the right-hand side of the equation:
[tex]\[ 4x = 140 \][/tex]

3. Solve for [tex]\(x\)[/tex]:
To isolate [tex]\(x\)[/tex], divide both sides of the equation by 4:
[tex]\[ x = \frac{140}{4} \][/tex]

4. Calculate the Division:
Perform the division:
[tex]\[ x = 35 \][/tex]

Therefore, the value of [tex]\(x\)[/tex] is [tex]\(\boxed{35}\)[/tex].
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.