Question

Horatio wants to ship a batch of 8 machine parts. The packaging for each part weighs 2 pounds. If each part weighs x pounds, which expression represents the total weight of the parts and their packaging? And if each part weighs 6 pounds, what will the total weight of the shipment be? A. The expression is 2(x + 8), and the weight is 28 pounds. B. The expression is 8(x – 2), and the weight is 32 pounds. C. The expression is 8x – 2, and the weight is 46 pounds. D. The expression is 8x + 2, and the weight is 50 pounds. E. The expression is 8(x + 2), and the weight is 64 pounds. Reset Next

Answer 1

Here is what we know:

8 machine parts

each part = x pouunds

packaging for each part is 2 pounds so 16 pounds for packaging

If y=total weight wiith that information we can form this equation

y=8x + 16

If each part equals 6 pounds the total shipment will be

y=8x+16

y=8(6) + 16

y= 48 + 16

y=64

Answer 2

Answer: E. The expression is 8(x + 2), and the weight is 64 pounds.

Explanation:

Given: Number of machine parts in a batch = 8

weight of packaging for each part = 2 pounds

Let x be the weight of each part ( in pounds).

Weight of each part with packaging = x+2

Then, Total weight of the parts and their packaging = (Number of machine parts) x (Weight of each part with packaging )

= 8(x+2)

If each part weighs 6 pounds, then put x= 6

Total weight of the parts and their packaging = 8(6+2)

= 8 x 8 = 64 pounds

Hence, If each part weighs 6 pounds, then the total weight of the shipment will be 64 pounds .