Answer:
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
At a warehouse the employees can unload 18 trucks in 6 hours. What is the unit rate for unloading trucks?
1 answer:
It is given in the question that
At a warehouse the employees can unload 18 trucks in 6 hours.
And we have to find the unit rate for unloading trucks .
Unit rate means , number of trucks unloaded per hour. And to find it, we have to divide number of trucks by number of hours. That is
Therefore the unit rate is 3 trucks per hour .
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Look at the picture.
We have the equation (1) 12x + 4y = 40.
We know, the sum of the acute angles in a right triangle is 90°.
Therefore we have the equation (2) (12x + 4y) + (17x - y) = 90
Substitute (1) to (2):
40 + 17x - y = 90 <em>subtract 40 from both sides</em>
17x - y = 50 (3)
We have the system of equations:
Substitute the value of x to (3)
Answer: x = 3 and y = 1.
