Answer: d. He multiplied when he was supposed to divide
Step-by-step explanation:
He just multiplied across when he was supposed to divide (or cross multiply) to find the unit rate :)
Answer:

Step-by-step explanation:
The expression (2 square root sign 27) - (3 square root sign 32) is
.
To simplify, simplify inside the radicals by removing perfect square factors.


The expression becomes
.
This cannot be simplified anymore because whats under the radical is not the same.
Answer:
Step-by-step explanation:
Translating the words into formula, we have

In fact, we have that the pay rate is the total payment divided by the number of hours worked.
We can solve this formula for w in two steps: starting from the formula above, multiply both sides by w:

And then divide both sides by r:

This is classic Pythagorean solving:
Side^2 + Side^2 = Hypotenuse^2
The hypotenuse is the longest side of a triangle, and it connects the leg and the base usually. In this triangle, 18 is the hypotenuse -- so since we are solving for the unknown side, the equation is:
a^2 + 5.7^2 = 18^2 -- now solve
a^2 = 18^2 - 5.7^2
a^2 = 291.51
a = sqrt(291.51)
a = 17.07 -- because height is the square root of the difference of the squares of 18 and 5.7
The answer is choice B.