Question

1. reggie knows how to make 5 different entrees, 4 different side dishes, and 6 different desserts. how many distinct complete meals, each consisting of an entrée, a side dish, and a dessert, can reggie make? f. 16 g. 26 h. 72 j. 120 k. 144 19. at a bottling plant, 10,000 liters of carbonated water are needed to produce 3,000 bottles of soda. how many liters of carbonated water are needed to produce 750 bottles of soda? a. 225 b. 1,500 c. 2,500 d. 4,000 e. 5,000

Explanation:

For Question 18:

Step1: Apply multiplication principle

Multiply counts of each meal component.
$\text{Total meals} = 5 \times 4 \times 6$

Step2: Calculate the product

Compute the sequential multiplication.
$5 \times 4 = 20$; $20 \times 6 = 120$

Step1: Find water per bottle

Divide total water by total bottles.
$\text{Water per bottle} = \frac{10000}{3000} = \frac{10}{3}$ liters

Step2: Calculate water for 750 bottles

Multiply per-bottle water by 750.
$\text{Total water} = \frac{10}{3} \times 750 = 2500$

Answer:

J. 120

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For Question 19: