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
Answer:
9/100
Step-by-step explanation: whatever percentage over 100 is the fraction of a percentage
Answer:
use sine or cosine rule
Step-by-step explanation:
that's the answer by using the sine rule
The equation would be y = (x+4)² + 7
Because adding 4 to 'x' creates a transformation 4 units left and adding 7 to the whole function moves the parabola up 7
Hope this helps!