Answer:
b
Step-by-step explanation:
5 is one of the numbers in 1,2,3,4,5,6,7,8
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The volume of a rectangular prism is (length) x (width) x (height).
The volume of the big one is (2.25) x (1.5) x (1.5) = <em>5.0625 cubic inches</em>.
The volume of the little one is (0.25)x(0.25)x(0.25)= 0.015625 cubic inch
The number of little ones needed to fill the big one is
(Volume of the big one) divided by (volume of the little one) .
5.0625 / 0.015625 = <em>324 tiny cubies</em>
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Doing it with fractions instead of decimals:
The volume of a rectangular prism is (length) x (width) x (height).
Dimensions of the big one are:
2-1/4 = 9/4
1-1/2 = 3/2
1-1/2 = 3/2
Volume = (9/4) x (3/2) x (3/2) =
(9 x 3 x 3) / (4 x 2 x 2) =
81 / 16 cubic inches.
As a mixed number: 81/16 = <em>5-1/16 cubic inches</em>
Volume of the tiny cubie = (1/4) x (1/4) x (1/4) = 1/64 cubic inch.
The number of little ones needed to fill the big one is
(Volume of the big one) divided by (volume of the little one) .
(81/16) divided by (1/64) =
(81/16) times (64/1) =
5,184/16 = <em>324 tiny cubies</em>.
Answer:
x = 16
Step-by-step explanation:
The two angles are vertical angles, which means they are equal
3x-3 = 2x+13
Subtract 2x from each side
3x-3-2x =2x-2x+13
x-3 =13
Add 3 to each side
x-3+3 =13+3
x = 16
Answer:
12
Step-by-step explanation:
We want to find out how many times 16 goes into 40.
It goes into 40 twice, with 4 leftover.
2 4/16
Now we can simplify.
Divide the numerator & denominator by 4:
1/4
Our final answer is 2 1/4.
