Chapter 8: 8.144 - Try It (page 986)

Solve the proportion: $\frac{39}{c} = \frac{13}{8} .$

Short Answer

Expert verified

The value of c is 24.

Step by step solution

Step 1. Given Information.

We are given with a proportion having only one variable c and we need to solve the proportion for c:

$\frac{39}{c} = \frac{13}{8} .$

Step 2. Calculating the value of c

In order to solve the proportion we need to multiply both sides of the equation with the LCD of denominators i.e., LCD of c and 8 is 8c. So,

$\frac{39}{c} = \frac{13}{8}, 8 c \times (\frac{39}{c}) = 8 c \times (\frac{13}{8}), 8 \times 39 = c \times 13, c = \frac{39 \times 8}{13} = 24 . S o, t h e v a l u e o f c i s 24 .$

Step 3. Checking the result

We get the result as 24 now lets check it by putting it in the equation:

$\frac{39}{c} = \frac{13}{8}, \frac{39}{24} = \frac{13}{8}, \frac{13}{8} = \frac{13}{8} . H e n c e, o u r r e s u l t i s c o r r e c t .$

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Solve the proportion: $\frac{39}{c} = \frac{13}{8} .$

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Calculating the value of c

Step 3. Checking the result

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Solve the proportion:39c=138.

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Calculating the value of c

Step 3. Checking the result

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Pure Maths

Logic and Functions

Probability and Statistics

Statistics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Solve the proportion: $\frac{39}{c} = \frac{13}{8} .$