16. Mrs. Hamway is making outfits for the school dance team. She can make 2 1/4 outfits per day. How many days should it take her to make 18 outfits?
A. 7 1/2
B. 8
C. 8 1/2
D. 9
C
17. Howard uses 2 /5 of a bag of flour to make a sheet cake. How many bags of flour would he need to make 3 1/2 sheet cakes?
A. 3 9/10
B. 3 1/10
C. 3
D. 1 2/5
E. 1 2/7
D
Look at the expression below
5+5(9/3)^2
According to order of operations what is the second step and the value of the expression?
A.5(3) and 230
B. 3+2 and 50
C. 5+5 and 90
D.3+2 and 90
B
16 is wrong.
17 is right.
18 I don't know.
How should I solve 16? If she could make 2 outfits per day it would be 9 days to get 18 outfits. But how would I do it since it is 2 1/4? When they add mixed numbers to the problem it messes me up. ;/
16. I divided:
18/2.25 = ?
Yes.
To solve the first question, we need to find how many days Mrs. Hamway would take to make 18 outfits. We know that she can make 2 1/4 outfits per day.
To solve this, we divide the total number of outfits needed (18) by the number of outfits made per day (2 1/4).
18 ÷ 2 1/4 = 18 ÷ (9/4)
To divide by a fraction, we multiply by its reciprocal:
18 ÷ (9/4) = 18 × (4/9)
Cancel any common factors between the numerator and denominator:
18 × (4/9) = 2 × (4/1) = 8/1 = 8
Therefore, it would take Mrs. Hamway 8 days to make 18 outfits. The correct answer is B. 8.
To solve the second question, we need to find how many bags of flour Howard would need to make 3 1/2 sheet cakes. We know that he uses 2/5 of a bag of flour for one sheet cake.
To solve this, we multiply the number of sheet cakes (3 1/2) by the fraction of a bag of flour used for one sheet cake (2/5).
(3 1/2) × (2/5) = (7/2) × (2/5)
Cancel any common factors between the numerator and denominator:
(7/2) × (2/5) = (7/1) × (1/1) = 7/1 = 7
Therefore, Howard would need 7 bags of flour to make 3 1/2 sheet cakes. The correct answer is C. 7.
To solve the last question, we need to evaluate the expression:
5 + 5(9/3)^2
Since the exponentiation comes first according to the order of operations (PEMDAS/BODMAS), we need to calculate (9/3)^2 first.
(9/3)^2 = (3)^2 = 3 × 3 = 9
Now we substitute this value back into the original expression:
5 + 5(9) = 5 + 45 = 50
Therefore, the second step is 3+2 and the value of the expression is 50. The correct answer is B. 3+2 and 50.