Answer:
<u>x = 8/23</u>
Step-by-step explanation:
<u>Adding 3.5 to each side</u>
- -3.5 + 3.5 = -4.6x - 5.1 + 3.5
- -4.6x - 1.6 = 0
<u>Adding 4.6x to each side</u>
- -4.6x - 1.6 + 4.6x = 0 + 4.6x
- 4.6x = -1.6
<u>Dividing each side by 4.6</u>
- 4.6x/4.6 = -1.6/4.6
- <u>x = 8/23</u>
Answer:
D,
Step-by-step explanation:
the volume of a sphere is 4/3πr^3
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:
translation
Step-by-step explanation:
