Each pitcher of podwer smoothie that ginger makes has 2 scoops of pineapple,3 scoops of strawberries,1 scoop of spinach and 1 scoop of kale. if ginger makes 7 pitchers od powder smoothies, how many scoops will she use in all? write and evaluate the numerical expression containing parentheses

She will use 49 scoops

Step-by-step explanation:

* Lets explain how to solve the problem

- Each pitcher of powder smoothie that Ginger makes has:

# 2 scoops of pineapple ⇒ 2 p

# 3 scoops of strawberries ⇒ 3 s

# 1 scoop of spinach ⇒ 1 sp

# 1 scoop of kale ⇒ 1 k

- She makes 7 pitchers of powder smoothies

* Lets write an expression for the number of scoops of one pitchers

 powder smoothie

∵ 1 pitcher of powder smoothie contains 2 p scoops, 3 s scoops,

  1 sp scoop and 1 k scoop

∴ The number of the scoops = 2  + 3  + 1  + 1  for one pitcher

∵ She makes 7 pitchers of powder smoothie

- Multiply the scoops of each type by 7

∴ The total number of scoops = (7 × 2) + (7 × 3) + (7 × 1) + (7 × 1)

- By multiply the numbers in the parentheses

∴ The number of total scoops = 14  + 21  + 7  + 7

∴ The number of total scoops = 49

* She will use 49 scoops

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.