The sum of the numbers X, Y, and Z is 40. The ratio of X to Y is 1:2 and the ratio of Y to X is 2:5. What is the value of Y?

Step-by-step explanation:

Since X : Y = 1 : 2, X = 0.5Y.

Since Y : Z = 2 : 5, Z = 2.5Y.

We have X + Y + Z = 4Y = 40. Hence Y = 10.

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!