Let p be the greatest prime factor of 9991. The sum of the digits of p is?
1 answer:
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Answer:
Mechanic 1: $55 per hour
Mechanic 2: $105 per hour
Step-by-step explanation:
Given
Represent the rate of the first mechanic with x and the second with y.
So, we have:
The total earnings is: $1850, so we have:
Required
Determine the rate of each
The equations are:
--- (1)
--- (2)
Divide (2) through by 5
--- (3)
Subtract (1) from (3)
Divide through by 2
Substitute 105 for y in (1)
Make x the subject
Substitute 105 for y
Hence:
Mechanic 1: $55 per hour
Mechanic 2: $105 per hour
The easiest way to do this is to plot the points. I used the pythagorean theorem for this one, too. Add the side lengths to get the perimeter: 5 + 5 + 5 + 3 + √40 = 24.32455532 units or just 24 units.
