Question

review: expressions, equations an...
arrange the values in
ascending order.
a. half of the sum of 84 and
32
b. product of 3 and the
difference between 23 and 8
c. 10 more than the
quotient of 12 and 4
d. one quarter of the
difference between 122 and
26

Explanation:

Step1: Calculate value for A

First, find the sum of 84 and 32: \(84 + 32 = 116\). Then take half of that sum: \(\frac{1}{2} \times 116 = 58\).

Step2: Calculate value for B

First, find the difference between 23 and 8: \(23 - 8 = 15\). Then find the product of 3 and that difference: \(3 \times 15 = 45\).

Step3: Calculate value for C

First, find the quotient of 12 and 4: \(\frac{12}{4} = 3\). Then add 10 to that quotient: \(3 + 10 = 13\).

Step4: Calculate value for D

First, find the difference between 122 and 26: \(122 - 26 = 96\). Then take one quarter of that difference: \(\frac{1}{4} \times 96 = 24\).

Step5: Arrange in ascending order

Now we have the values: A = 58, B = 45, C = 13, D = 24. Arranging them from smallest to largest: \(13 < 24 < 45 < 58\), so C, D, B, A.

Answer:

C, D, B, A