**Problem Description:**Use a proportion to solve the problem.The ratio of the lengths of strings that play the notes F and G is 9 to 8. If a string 40 centimeters long plays a G, what is the length of the string that plays an F?**Options:**- 49 cm- 45 cm- $ 35 \frac{5}{9} $ cm- 48 cm**Diagrams and Analysis:**There are no diagrams or graphs in this image. To solve the problem, you can use the given ratio and set up a proportion:Given:- Ratio of F to G = 9:8- Length of G = 40 cmProportion setup using the ratio:\[ \frac{F}{G} = \frac{9}{8} \]\[ \frac{F}{40} = \frac{9}{8} \]Cross-multiply to solve for F:\[ 8F = 9 \times 40 \]\[ 8F = 360 \]\[ F = \frac{360}{8} \]\[ F = 45 \text{ cm} \]The correct answer is 45 cm.

Given the ratio of F to G = 9 to 8 value of g = 40 So FG = 98put G = 40 cm F40 = 98F = 98×40F = 45 cm

Use a proportion to solve the problem. The ratio of the lengths of strings that play the notes F and G is 9 to 8. If a string 40 centimeters long plays a G, what is the length of the string that plays an F? 49 cm 45 cm O 35-5 cm 48 cm

Use a proportion to solve the problem. The ratio of the lengths of strings that play the notes F and G is 9 to 8. If a string 40 centimeters long plays a G, what is the length of the string that plays an F? 49 cm 45 cm O 35-5 cm 48 cm

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

**Problem Description:**

Use a proportion to solve the problem.

The ratio of the lengths of strings that play the notes F and G is 9 to 8. If a string 40 centimeters long plays a G, what is the length of the string that plays an F?

**Options:**

- 49 cm
- 45 cm
- $ 35 \frac{5}{9} $ cm
- 48 cm

**Diagrams and Analysis:**

There are no diagrams or graphs in this image. To solve the problem, you can use the given ratio and set up a proportion:

Given:
- Ratio of F to G = 9:8
- Length of G = 40 cm

Proportion setup using the ratio:
\[ \frac{F}{G} = \frac{9}{8} \]
\[ \frac{F}{40} = \frac{9}{8} \]

Cross-multiply to solve for F:
\[ 8F = 9 \times 40 \]
\[ 8F = 360 \]
\[ F = \frac{360}{8} \]
\[ F = 45 \text{ cm} \]

The correct answer is 45 cm.

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