Chapter 2: Q40. (page 79)

Determine the equation of the sentence “One half of g plus thirty-two is as much as the sum of fifteen and six-times g”.
A. $g^{2} = 2 (g - 10)$
B. $\frac{1}{2} g + 32 = 15 + 6 g$
C. $g^{3} = 24 g + 4$
D. $3 g^{2} = 30 + 9 g$

Short Answer

Expert verified

The equation is $\frac{1}{2} g + 32 = 15 + 6 g$ . The correct option is (B).

Step by step solution

Step 1. Given information.

The given sentence is:

One-half of g plus thirty-two is as much as the sum of fifteen and six-times g.

Step 2. Break the sentence and write an expression.

The expression for one-half of g is $\frac{1}{2} g$ , and the expression for six-times g is 6g.

So, the sum of fifteen and six-times g is $15 + 6 g$ .

Step 3. Write the equation.

Since, $\frac{1}{2} g$ plus thirty-two is as much as $15 + 6 g$ .

Therefore,

$\frac{1}{2} g + 32 = 15 + 6 g$

This is the required equation.

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Determine the equation of the sentence “One half of g plus thirty-two is as much as the sum of fifteen and six-times g”.
A. $g^{2} = 2 (g - 10)$
B. $\frac{1}{2} g + 32 = 15 + 6 g$
C. $g^{3} = 24 g + 4$
D. $3 g^{2} = 30 + 9 g$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Break the sentence and write an expression.

Step 3. Write the equation.

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Determine the equation of the sentence “One half of g plus thirty-two is as much as the sum of fifteen and six-times g”.A.g2=2g−10B.12g+32=15+6gC.g3=24g+4D.3g2=30+9g

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Break the sentence and write an expression.

Step 3. Write the equation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Pure Maths

Logic and Functions

Theoretical and Mathematical Physics

Decision Maths

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Determine the equation of the sentence “One half of g plus thirty-two is as much as the sum of fifteen and six-times g”.
A. $g^{2} = 2 (g - 10)$
B. $\frac{1}{2} g + 32 = 15 + 6 g$
C. $g^{3} = 24 g + 4$
D. $3 g^{2} = 30 + 9 g$