Question:
The circumference of a clock is 22 inches. What is the radius of the clock?
Answer:
Radius = 3.5 inches
Solution:
Shape of the clock is circle.
Circumference of the circle = 2πr
Circumference of a clock = 22 inches
⇒ r = 3.5 inches
Hence the radius of the clock is 3.5 inches.
Answer: The variable 
represents the number of packages of corn.
Step-by-step explanation:
1. You have the following expression given in the problem:
2. Then, if the expression represents the cost of the corn for a number of packages, then the price of a package (which is $3.59) must be multiplied by the number of packages (which must be represented by the variable ).
3. Therefore, you can conclude that the variable represents the number of packages of corn.
Total salary = 909.50
Out of this, overtime salary was = 229.50
Normal salary for 40 hours was = 909.50 - 229.50 = 680
Hourly rate = 680/40 = 17
Overtime is time and half = 17 + 17/2 = 17 + 8.5 = 25.5
Number of overtime hours = 229.50/25.5 = 9 hours
Answer:
60
Step-by-step explanation:
You need to think of it as an equation system.
First of all, let's call A the apple trees, P the pear trees and V the avocado's trees.
As for every 3 pear trees we have 4 apple trees, it can be written as:
4A = 3P
Then, we can clear the pears dividing both sides by 3:
4A/3 = 3P/3
(4/3)A = P
This is, we have one pear tree for every 4/3 apple trees.
Then we go to the other relation. For every 5 pears trees there are two avocados trees:
2V = 5P
As we want the ratio of avocados to apples we can replace the pear trees by it's expression depending on A:
2V = 5 ((4/3)A)
2V = (20/3) A
Multiplying both sides by 9 we make appear our 18 avocados trees:
2V *9 =( 20/3) A * 9
18 V = 60 A
So, for 18 avocados trees we have 60 apple trees.
Answer = 0
-1(-1)=1
1 + -1 = 0
