Goby fish and shrimp naturally live close together. A pet store is selling bags
of goby fish and shrimp to aquarium hobbyists. Each goby fish costs $15, and
each shrimp costs $10. Each bag has an equal number of goby fish and shrimp.
a. The pet store models the cost per bag with the expression x(15 + 10). Explain
what the expression represents.

The expression represents the total cost of the bag which contain x number of goby and x number of shrimp.

Step-by-step explanation:

Each goby fish costs $15 and each shrimp costs $10.

Each bag has an equal number of goby fish and shrimp.

So. let each bag has x number of goby and x number of shrimp

so, the cost of the bag = 15x + 10x

Take x as a common

so, the total cost = x (15+ 10)

so, the expression represents the total cost of the bag which contain x number of goby and x number of shrimp.

a. 3/4 ÷ 1/8 = 6

step-by-step explanation:

in the question, the number line represents 3/4 divided into 6 equal units. each arrow represents a unit and there are a total of six arrows.

the size of each unit is 1/8 as shown.

showing that 1/8 divides 3/4 into 6 divisions:

3/4 ÷ 1/8

= 3/4 x 8/1

= 3/1 x 8/4

= 3 x 2

= 6

hence, the number line represents six divisions given by 3/4 ÷ 1/8.