the product of 8 and the sum of 4 and a number is 112. What is the number? Which equation could be used to solve for the number?
Product of 8 and the sum of 4 and a number:
sum of 4 and a number: (4 + n)
Product of 8
8 x (4 + n) is 112
8 x (4 + n) = 112
Distribute
32 + 8n = 112
Subtratc
8n = 80
Divide by 8
n = 10
The number is 10, and next time please put options because it says "Which equation could be used to solve for the number?" Thanks! :)
Answer:
\(x=10\)
\(8(4+x) = 112\)
Step-by-step explanation:
the product of 8 and the sum of 4 and a number is 112
LEt x be the unknown number
the sum of 4 and a number
Sum means addition, so we add 4 and x
\(4+x\)
product of 8 and sum 4+x
product means multiplication
\(8(4+x)\)
8(4+x) is equal to 112
\(8(4+x) = 112\) is the equation used to solve for the number
We solve for x
\(32 + 8x = 112\)
Subtract 32 on both sides
\(8x=80\)
divide by 8 on both sides
\(x=10\)