What are the inequalities for:
x is less than 8 and greater than 3
x is less than 4 and greater than -2
x is greater than 12 and less than or equal to 17

3 < x < 8

-2 < x < 4

12 < x ≤ 17

Step-by-step explanation:

x is less than 8 and greater than 3

i.e 3 < x < 8

x is less than 4 and greater than -2

i.e -2 < x < 4

x is greater than 12 and less than or equal to 17

i.e 12 < x ≤ 17

Part A = B. 1 ÷ 1/3 = 3

Part B = 27 brownies

Step-by-step explanation:

Part A

From the ingredients given in above question:

1/3 cup of butter = 1 batch of brownies

Hence: 1 cup of butter = x

Cross Multiply

1/3 cup of butter × x = 1 cup of butter × 1 batch of brownies

x = 1 cup of butter × 1 batch of brownies/1/3 cup of butter

x = 1 batch of brownies ÷ 1/3

x = 1 batch of brownies × 3/1

x = 3 batches of brownies

Hence, the number brownies Jackson can make with 1 cup of butter Is 3 batches of brownies

Therefore, the equation you can use to solve the problem is Option B. 1 ÷ 1/3 = 3

Part B

If each brownie is 1/9 of a batch, how many brownies did he make?

We know from Part A that Jackson made 3 batches of brownies hence:

1/9 of a batch of brownies = 1 brownie

3 batches of brownies = x

Cross Multiply

1/9 of a batch of brownies × x = 1 brownie × 3 batches of brownies

x = 1 brownie × 3 batches of brownies/ 1/9 of a batch of brownies

x =( 3 ÷ 1/9) brownies

x = ( 3 × 9/1) brownies

x = 27 brownies

Therefore, the number of brownies he made was 27 brownies.