Respuesta :

Mehek
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:

[tex]x=10[/tex]

[tex]8(4+x) = 112[/tex]

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

[tex]4+x [/tex]

product of 8 and sum 4+x

product means multiplication

[tex]8(4+x)[/tex]

8(4+x) is equal to 112

[tex]8(4+x) = 112[/tex] is the equation used to solve for the number

We solve for x

[tex]32 + 8x = 112[/tex]

Subtract 32 on both sides

[tex]8x=80[/tex]

divide by 8 on both sides

[tex]x=10[/tex]