Let's make,
mechanic #1's rate = x
mechanic #2's rate = y
* Their rate is dollars per hour ($/hr)
mechanic #1 worked for 20 hours (hr × $/hr = $)
20x = money earned by mech#1
and mechanic #2 worked for 5 hours
5y = money earned by mech#2
together they charged a total of $1150. So the amount of money earned by both mechanics.
20x + 5y = 1150
the sum of the two rates was $95 per hour.
x + y = 95
which means
x = 95 - y
plug (95 - y) in for "x" in the other equation to get everything in terms of one variable.
20(95 - y) + 5y = 1150
solve for y
1900 - 20y + 5y = 1150
1900 - 15y = 1150
-15y = 1150 - 1900
-15y = -750
y = -750/-15
y = 50 $/hr
Now use this to solve for x
x + y = 95
x + 50 = 95
x = 95 - 50
x = 45 $/hr
mech#1 charged 45$/hr
mech #2 charged 50$/hr
Answer:
162°
Step-by-step explanation:
a circle has 360°, or the angle of a whole circle is that
so 45% of 360 =
0.45 times 360 = 162
Answer:
30,114.3%
Step-by-step explanation:
Use the percent increase formula:
((new value - initial value) / initial value) x 100
Plug in the values:
((211,500 - 700) / 700) x 100
(210,800 / 700) x 100
= 30,114.29
So, the percent increase is 30,114.3%
Answer:
200
Step-by-step explanation:
Because you are rounding to the hundreds, you look at the tens place. The tens place is a "1" and 1 is below five, so you round down to 200.
Answer:
b=8
Step-by-step explanation:
b=√(10²-6²)=√(100-36)=√64=8
