Chapter 2: Q. 158 (page 230)

In the following exercise, translate to an equation and then solve.
The sum of nine-tenths and g is two-thirds.

Short Answer

Expert verified

$Thetranslationintheequationformis \frac{9}{10} + g = \frac{2}{3} andthesolutionis g = - \frac{7}{30} .$

Step by step solution

Step 1. Given information

Given:

The sum of nine-tenths and g is two-thirds.

We will translate the sentence into an equation and then solve the equation.

Step 2. Translate the sentence into an equation

$\begin{array}{l} \underset{}{\underset{⏟}{Thesumofnine-tenthsand g}} \underset{}{\underset{⏟}{is}} \underset{}{\underset{⏟}{two-thirds}} \\ ⇓ ⇓ ⇓ \\ \frac{9}{10} + g = \frac{2}{3} \end{array}$

Step 3. Simplify

$\begin{array}{l} \Rightarrow \frac{9}{10} + g = \frac{2}{3} \\ \Rightarrow \frac{9}{10} + g - \frac{9}{10} = \frac{2}{3} - \frac{9}{10} [Subtract \frac{9}{10} fromboththesides] \\ \Rightarrow g = \frac{2 \times 10 - 9 \times 3}{3 \times 10} \\ \Rightarrow g = \frac{20 - 27}{30} \\ \Rightarrow g = - \frac{7}{30} \end{array}$

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In the following exercise, translate to an equation and then solve.
The sum of nine-tenths and g is two-thirds.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Translate the sentence into an equation

Step 3. Simplify

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In the following exercise, translate to an equation and then solve.The sum of nine-tenths and g is two-thirds.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Translate the sentence into an equation

Step 3. Simplify

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Applied Mathematics

Discrete Mathematics

Statistics

Pure Maths

Decision Maths

Study anywhere. Anytime. Across all devices.

In the following exercise, translate to an equation and then solve.
The sum of nine-tenths and g is two-thirds.