14 is the greatest common factor
The box with the bunk bed will not fit in the mini van
Step-by-step explanation:
Step 1 :
Given
Length of the cuboid = 6 feet
Width of the cuboid = 2 feet
Height of the cuboid = 3 feet
The diagonal of the cuboid is

= 7 feet
Step 2 :
The utmost length of the diagonal of the box which the minivan can hold is 6.8 feet
The length of the diagonal of the box containing the bunk bed is 7 feet which is greater than 6.8 feet.
Hence the trunk of the mini van cannot hold the bunk bed
First we find the slope between the two given points.
m = (y2 - y1)/(x2 - x1) = (-5 - 2)/(7 - 6) = -7/1 = -7
Now we use the slope-intercept equation of a line.
y = mx + b
We use one point as x and y, and we solve for b.
2 = -7(6) + b
2 = -42 + b
b = 44
The equation is
y = -7x + 44
Answer: f(x) = -7x + 44
Answer: 11
Step-by-step explanation:
If 15 workers can paint 18 houses in 24 days, how many days will 40 workers take to paint 22 houses?
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# of days are inversely related to # of workers and directly related
to # of houses.
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d = kh/w
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Solve for "k" using "15 workers can paint 18 houses in 24 days"
24 = k*18/15
k = 15*24/18 = 15*(4/3) = 20
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Equation:
d = 20h/w
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Solve: How many days will 40 workers take to paint 22 houses?
d = 20*22/40
d = 11 days
Desmond ran the further distance because Betty ran 2/4 and Desmond ran 3/4