Question

Solve the proportion:

26/z = 13/22
a) z = 44
b) z = 48
c) z = 52
d) z = 56
b/30 = 2.6/1.5
a) b = 5
b) b = 6
c) b = 7
d) b = 8

Answer 1

The solution to the first proportion 26/z = 13/22 is z = 44, which is option (a). However, for the second proportion b/30 = 2.6/1.5, the answer is b = 52, which is not listed as an option, suggesting there is a mistake in the question.

Step-by-step explanation:

To solve the proportion 26/z = 13/22, we cross-multiply to find the value of z. This gives us:

26 x 22 = 13 x z

572 = 13z

Now we divide both sides by 13 to isolate z:

z = 572 / 13

z = 44

So the correct answer is z = 44, which corresponds to option (a).

Next, we solve the second proportion b/30 = 2.6/1.5. Again, we cross-multiply:

b x 1.5 = 2.6 x 30

1.5b = 78

Now, divide both sides by 1.5 to solve for b:

b = 78 / 1.5

b = 52

Since 52 is not listed as an option, we must turn down this question as having a mistake or typo in the provided options.