Question
Match the sentence with an equation.
The product of 3 and the square of g equals the sum of thirty and the product of nine and g.
Multiple choice question.
A)
g2=2(gā10)
B)
12g+32=15+6g
C)
g3=24g+4
D)
3g2=30+9g
The product of 3 and the square of g equals the sum of thirty and the product of nine and g.
Multiple choice question.
A)
g2=2(gā10)
B)
12g+32=15+6g
C)
g3=24g+4
D)
3g2=30+9g
Answers
GPT-4o mini
To match the sentence with the correct equation, we can break down the sentence:
"The product of 3 and the square of g" translates to \(3g^2\).
"equals" translates to the equals sign (=).
"the sum of thirty and the product of nine and g" translates to \(30 + 9g\).
Putting it all together, we have:
\(3g^2 = 30 + 9g\)
Now, let's look at the options:
A) \(g^2 = 2(g - 10)\)
B) \(12g + 32 = 15 + 6g\)
C) \(g^3 = 24g + 4\)
D) \(3g^2 = 30 + 9g\)
The correct match is:
**D) \(3g^2 = 30 + 9g\)**.
"The product of 3 and the square of g" translates to \(3g^2\).
"equals" translates to the equals sign (=).
"the sum of thirty and the product of nine and g" translates to \(30 + 9g\).
Putting it all together, we have:
\(3g^2 = 30 + 9g\)
Now, let's look at the options:
A) \(g^2 = 2(g - 10)\)
B) \(12g + 32 = 15 + 6g\)
C) \(g^3 = 24g + 4\)
D) \(3g^2 = 30 + 9g\)
The correct match is:
**D) \(3g^2 = 30 + 9g\)**.