Answer:Answer:
60/11 or 5 5/11
Step-by-step explanation: Change to mixed numbers- 15/2 and 11/8.
multiply 15/2 by reciprocal- 15/2 x 8/11.
simplify-60/11
Answer:
see explanation
Step-by-step explanation:
A
The area (A) of a circle is calculated as
A = πr² ( r is the radius )
Here diameter = 12 , then radius = 12 ÷ 2 = 6 , then
A = π × 6² = 3.14 × 36 = 113.04 m²
B
The circumference (C) of a circle is calculated as
C = 2πr ( r is the radius )
Here C = 28.26 , then
2πr = 28.26 ( divide both sides by 2π )
r =
=
= 4.5 in
Remember that if lines are parallel, they will have the same slope. Also, the number added or subtracted in the equation is the y intercept, or the y value when the x=0. They gave you the point (0,-7) so really, they just gave you the y intercept. How nice!! That means you just use the same slope as the original and then add -7 to it to get your equation. With that knowledge, you can now easily identify the correct answer!!
m = amount of money you receive
You need at least $40, so that means you need m = 40 or more
So
which is the same as saying
. You flip both sides and also flip the inequality sign as well.
At the same time, your parents won't give you more than $50. So the largest m can get is m = 50. This means 
-----------------
Combine
and
to get the compound inequality 
This represents all the possible values of m. We see that m can get as small as m = 40, or as large as m = 50, or anything in between.
------------------
Answer: 
Answer:
41.02 meters.
Step-by-step explanation:
See the attached diagram.
The distance between the goals of a soccer field is 52 meters. Each goal has a box that extends 5.49 meters into the field.
If the distance from the front of the box at one end of the field to the front of the box at the other end of the field is x meters, then we can write the equation as
5.49 + x + 5.49 = 52
⇒ x + 10.98 = 52
⇒ x = 41.02 meters. (Answer)