Answer:
The age of each person is:
- Jess is <u>21</u> years old.
- Mac is <u>66</u> years old.
Step-by-step explanation:
To solve this problem you must make two equations. First, we name Jess and Mac as variables:
j = Jess age.
m = Mac age.
Now we make the equations, the first equation has the information "Jess is 12 years less than half as old as Mac":
1. 
The second equation has the information "The sum of their age is 87":
2. 
Now, we replace the first equation in the second one:
And we operate:
We clear the variable m:
How we know Mac's age is 66 years old, we can identify Jess' age with the second equation:
We replace the value of m:
And clear the variable j:
In the end, Jess's age is 21 years old.
Let the number of minutes be = x.
Cost per minute = 11 cents = 0.11
Phone Bill = Monthly fee + 0.11* x
Substituting from the question
20.82 = 3 + 0.11x
3 + 0.11x = 20.82
0.11x = 20.82 - 3
0.11x = 17.82
x = 17.82/0.11
x = 162
<span>Lamar was billed for 162 minutes.</span>
Answer:
the volume of a cylinder is pi r^2 h = 3.14.(3.5)^2. 5.5=211.55 cubic foot
211.55 x 7.48052 =1583.36 gallons.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Tricky. Very neat.
You are missing the minor arcAC and you need it, but don't fret. It can be found.
The formula for this is x = 1/2(Major Arc(235) - Minor Arc(see below) )
The minor arc is the supplement of x.
The minor arc is also equal to the the central angle
So the minor arc is 180 - x
x = 1/2 (235 - (180 - x) ) Remove the inside brackets
x = 1/2 (55 + x ) Remove the remaining brackets
x = 1/2 *55 + 1/2x Subtract 1/2x from both sides
1/2 x = 27.5 Multiply both sides by 2
x = 55
