Chapter 2: Q43. (page 79)

Determine the equation of the sentence “The product of 3 and the square of g equals the sum of thirty and the product of nine and 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 $3 g^{2} = 30 + 9 g$ . The correct option is (D).

Step by step solution

Step 1. Given information.

The given sentence is:

The product of 3 and the square of g equals the sum of thirty and the product of nine and g.

Step 2. Break the sentence and write an expression.

The expression for the square of g is $g^{2}$ , and the expression for the product of g and 9 is $9 \times g$ .

So, the product of 3 and $g^{2}$ is $3 g^{2}$ and the sum of thirty and $9 \times g$ is $30 + 9 \times g$ .

Step 3. Write the equation.

Since, $3 g^{2}$ equals $30 + 9 \times g$ .

Therefore,

$\begin{matrix} 3 g^{2} = 30 + 9 \times g \\ = 30 + 9 g \end{matrix}$

This is the required equation.

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Determine the equation of the sentence “The product of 3 and the square of g equals the sum of thirty and the product of nine and 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 “The product of 3 and the square of g equals the sum of thirty and the product of nine and 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

Probability and Statistics

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Mechanics Maths

Calculus

Decision Maths

Study anywhere. Anytime. Across all devices.

Determine the equation of the sentence “The product of 3 and the square of g equals the sum of thirty and the product of nine and g”.
A. $g^{2} = 2 (g - 10)$
B. $\frac{1}{2} g + 32 = 15 + 6 g$
C. $g^{3} = 24 g + 4$
D. $3 g^{2} = 30 + 9 g$