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:
(-4 , 8)
Step-by-step explanation:
The x-axis is the horizontal line. In this case, if you are reflecting over the x-axis, you are flipping the sign of the y-coordinate.
Same with the y-axis. If you are reflecting over the y-axis, you are flipping the sign of the x-coordinate.
In this case, reflect across the x-axis. Flip the sign of the y: (x , y)
(-4 , -8) reflected over the x-axis is (-4 , 8).
~
Answer:
50 deg
Step-by-step explanation:
The circles are congruent, so all radii of both circles are congruent.
The given central angles are congruent, so the triangles are congruent by SAS.
Since each triangle has 2 congruent sides (the radii), opposite angles are congruent.
m<DFE = m<J = 80 deg
m<H = m<G = x
m<H + m<G + m<J = 180
x + x + 80 = 180
2x + 80 = 180
2x = 100
x = 50
m<H = 50
Set up a system of equations.
d + q = 75
.1d + .25q = 14.25
Multiply the first equation by -.1 so that the "d's" will cancel.
-.1d -.1q = -7.5
.1d +.25q = 14.25
Now add the two equations together
.15q = 6.75
divide both sides by .15
q = 45
There are 45 quarters in the jar
Answer:
Step-by-step explanation:
Using synthetic division, the zeros goes into the box, which would be -1
-1 | 1 -3 -1 24
-1 4 -3
1 -4 3 21
The remainder is 21
