Zahra is knitting items to sell at a craft fair. she has a total of 2,640 yards of yarn.

a scarf uses 200 yards of yarn, and a hat uses 150 yards.

she wants to knit a minimum of 15 items.

this system of inequalities represents this situation, where x is the number of scarves and y is the number of hats.

200x + 150y ≤ 2,640

x + y ≥ 15

how many scarves and hats can zahra knit to meet her goal?

a. 10 scarves and 5 hats

b. 7 scarves and 7 hats

c. 6 scarves and 11 hats

d. 5 scarves and 10 hats

The correct answer is D. 5 scarves and 10 hats

Step-by-step explanation:

1. Let's review the information given for answering the question correctly:

Total amount of yarn Zahra has = 2,640 yards

Amount of yarn per scarf Zahra uses = 200 yards

Amount of yarn per hat Zahra uses = 150 yards

Zahra wants to knit a minimum of 15 items

System of inequalities:

200x + 150y ≤ 2,640  

x + y ≥ 15

2. Let's find the number of scarves and hats that Zahra can knit to meet her goal

Answer A

10 scarves and 5 hats

200 * 10 + 5 * 150 = 2,000 + 750 = 2,750

2,750 exceeds the amount of yarn Zahra has.

Answer B

7 scarfs and 7 hats are less items than the 15 Zahra wants to knit

Answer C

6 scarves and 11 hats

200 * 6 + 11 * 150 = 1,200 + 1,650 = 2,850

2,850 exceeds the amount of yarn Zahra has.

Answer D

5 scarves and 10 hats

200 * 5 + 10 * 150 = 1,000 + 1,500 = 2,500

This option fulfills both conditions of inequality:

*. Minimum of 15 items

*. Less than 2,640 yards of yarn

answer: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

step-by-step explanation: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.