Part A.
The log can be modeled by a cylinder.
The board can be modeled by a rectangular prism.
You can simply put the equation as 9x = 36 and divide by 9, then x = 4
<span>The cube’s sides measures 6 inches and the measurement for
the rectangular box is that it is 10 inches long, 4 inches thick and 4 inches
high. To compute for the volume of a cube you must use the formula of V = a3
and for the rectangular prism is V = l x w x h.</span>
<span>Cube: V = 6^3
</span> <span>V = 216 inches^3</span>
<span>Rectangular Prism: V
= 10 x 4 x 4</span>
<span>
V
= 160 inches^3</span>
To identify how much greater the volume the cube from the
rectangular box we subtract their volumes.
N = C – R where N stands for the unknown C for the volume of
cube and R for the volume of Rectangular Box
<span>
N = 216 inches^3 – 160 inches^3
</span>
<span>N = 56 inches^3</span>
<span>
So the cube is 56 inches3 greater than the
rectangular box.</span>
Answer:
it should be 47
Step-by-step explanation:
Answer:
Morning's average rate = 50 mph, and Afternoon's average rate = 25 mph.
Step-by-step explanation:
Suppose he drove 150 miles for X hours, then his average rate in the morning was (150/X) mph.
Given that he spent 5 hours in driving.
And he drove 50 miles for (5-X) hours, then his average rate in the afternoon was 50/(5-X) mph.
Given that his average rate in the morning was twice his average rate in the afternoon.
(150/x) = 2 * 50/(5-x)
150/x = 100/(5-x)
Cross multiplying terms, we get:-
150*(5-x) = 100*x
750 - 150x = 100x
750 = 100x + 150x
750 = 250x
x = 750/250 = 3.
It means he spent 3 hours in the morning and 2 hours in the afternoon.
So morning's average rate = 150/3 = 50 mph.
and afternoon's average rate = 50/(5-3) = 25 mph.
