use rates, the rate a person is working is the reciprocal of the time
working together, they work at a rate of 1/3 job per hour
when two people work together their rates add together
---> 1/h + 1/j = 1/3
---> h = j - 8 (harry takes 8 hrs less than jimmy)
substitute and solve for j
<span><span>1<span>j−8</span></span>+<span>1j</span>=<span>13</span></span>
combine fractions
<span><span><span>j+(j−8)</span><span>j(j−8)</span></span>=<span>13</span></span>
cross-multiply
<span><span>j2</span>−8j=6j−24</span>
<span><span>j2</span>−14j+24=0</span>
Factor
<span>(j−12)(j−2)=0</span>
j = 12
It takes jimmy 12 hours to rake the leaves
65 + (3x-10) + 2x = 180
65 +5x-10 = 180
55 + 5x =180
5x = 125
x = 125/5 = 25
x = 25
B = 3(25)-10 = 75-10 = 65
C = 2(25) = 50
She needs 96 inches of lace because 4 x 24 is 96.
Answer:
32
Step-by-step explanation:
You want to find p for ...
p/(-8) = -4
Multiply by -8.
p = (-8)*(-4) = 32
The value of p is 32.
