Harry can rake the leaves in the yard 8 hours faster than his little brother Jimmy can.
<span>If they join to work together they can complete the job in 3 hours. </span>
<span>1/x + 1/(x - 8) = 1/3 </span>
<span>3(x - 8) + 3x = x(x - 8) </span>
<span>x^2 - 14x + 24 = 0 </span>
<span>(x - 12)(x - 2) = 0 </span>
<span>Solutions: </span>
<span>x = 2 </span>
<span>x = 12 </span>
<span>Jimmy can complete the job on his own in 12 hours.</span>
Answer:
x = 27.8, y = 35
Step-by-step explanation:
Angle D is equal to Angle A
Angle E is equal to Angle B
Angle F is equal to Angle C
So you can set those equal to each other:
2y - 5 = 65
2y = 70
y = 35
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2x + y = 90.6
2x + 35 = 90.6
2x = 55.6
x = 27.8
Answer:
The triangular prism is a better deal because you get 204 in³ for the same price you would pay for 128 in³ with a trapezoidal prism.
Step-by-step explanation:
The trapezoidal prism has volume 32*4=128 cubic inches. The triangular prism has volume 34*6=204 inches. Since the triangular prism is more voluminous, it is the better deal. Hope this helps!
Answer:
all real values of x where x < -1
Step-by-step explanation:
See attached graph.