morgam04512004
31.12.2019 •
Mathematics
Two mechanics worked on a car. the first mechanic worked for
10
hours, and the second mechanic worked for
15
hours. together they charged a total of
$2575
. what was the rate charged per hour by each mechanic if the sum of the two rates was
$210
per hour?
Solved
Show answers
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Ответ:
10X+15y=2575.
X+Y=210.
Solve for X: X=210-Y, and sub it into the other equation: 10(210-Y)+15Y=2575. Solve for Y: 2,100-10y+15y=2575, 5y=475, y=95.
Sub Y into the original problem: X+95=210. Solve: X=115.
The first mechanic charges $115 per hour and the second charges $95 :)
Ответ:
10x + 15y = 2575
we also know that the 2 rates added together equals 210. this means:
x + y = 210
we can actually solve for x or t on this second one easily:
x= 210 - y. Or y = 210 - x
I'm going to use the x= 210 - y but you could use the other one.
since I know what x equals I can actually substitute it in on the first equation like so:
10 * (210 - y) + 15y = 2575
notice how I combined the 2 equations
2100 - 10y + 15y = 2575
move the 2100 to other side by subtracting and combine y' s
5y = 475
y = 95
So so we know the 15 hour employee charged $95 an hour. we can plug this into second equation and find other wage. like this:
x = 210 - 95
x = 115
So this 1st guy made $115 an hour
Ответ:
The answer you are looking for is t^3+3t^2+6t+4.
Solution:
(t+1)(t^2+2t+4)
t^3+2t^2+4t+t^2+2t+4
t^3+3t^2+6t+4