Chapter 7: Q2. (page 246)

Which proportions are equivalent to $\frac{x}{12} = \frac{3}{4} ?$
$(a .) \frac{x}{3} = \frac{12}{4}$ $(b .) \frac{x}{4} = \frac{12}{3}$ $(c .) \frac{12}{x} = \frac{4}{3}$ $(d .) \frac{x + 12}{12} = \frac{7}{4}$

Short Answer

Expert verified

The given proportion is equivalent to,

$\frac{x + 3}{3} = \frac{7}{4}$

Step by step solution

Step 1. Given information.

The given proportion is,

$\frac{x}{3} = \frac{3}{4}$

Step 2. Concept used.

For the proportion $\frac{a}{b} = \frac{c}{d}$ ,

it is equivalent to, $\frac{a + b}{b} = \frac{c + d}{d}$

Step 3. Apply this concept on given proportion.

It is given that, $\frac{x}{3} = \frac{3}{4}$

So, $\frac{x + 3}{3} = \frac{3 + 4}{4} = \frac{7}{4}$

Therefore, the given proportion is equivalent to,

$\frac{x + 3}{3} = \frac{3 + 4}{4} = \frac{7}{4}$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Which proportions are equivalent to $\frac{x}{12} = \frac{3}{4} ?$
$(a .) \frac{x}{3} = \frac{12}{4}$ $(b .) \frac{x}{4} = \frac{12}{3}$ $(c .) \frac{12}{x} = \frac{4}{3}$ $(d .) \frac{x + 12}{12} = \frac{7}{4}$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Concept used.

Step 3. Apply this concept on given proportion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Decision Maths

Theoretical and Mathematical Physics

Discrete Mathematics

Applied Mathematics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Which proportions are equivalent tox12=34? (a.)x3=124 (b.)x4=123 (c.)12x=43 (d.)x+1212=74

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Concept used.

Step 3. Apply this concept on given proportion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Decision Maths

Theoretical and Mathematical Physics

Discrete Mathematics

Applied Mathematics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Which proportions are equivalent to $\frac{x}{12} = \frac{3}{4} ?$
$(a .) \frac{x}{3} = \frac{12}{4}$ $(b .) \frac{x}{4} = \frac{12}{3}$ $(c .) \frac{12}{x} = \frac{4}{3}$ $(d .) \frac{x + 12}{12} = \frac{7}{4}$