Answer:
a = 20
Step-by-step explanation:
The mean is calculated as
mean = 
=
= 
Then
= 27 ( multiply both sides by 5 to clear the fraction )
115 + a = 135 ( subtract 115 from both sides )
a = 20
ANSWER
Paul and Matt will take

to install the floor working together.
EXPLANATION
First, calculate Paul's rate, which is

Next, calculate Matt's rate, which is,

Let us assume that, Paul and Matt took

to do the work together.
Then, the rate of working together is,

Now, add the individual rates and equate to the rate of working together to form an equation that will help us solve for x.

Simplify the left hand side


We reciprocate both sides to get (You could have also done cross multiplication).

Answer:
180
Step-by-step explanation:
450 x 0.4 = 180
9514 1404 393
Answer:
34.6 ft
Step-by-step explanation:
The distance can be found using the Pythagorean theorem. Where a, b, c are the sides of a right triangle with c as the hypotenuse, it tells you ...
a² + b² = c²
a = √(c² -b²)
base-to-string = √(39² -18²) = √1197 ≈ 34.598
The distance from the base of the pole to the end of the string is about 34.6 feet.