Answer:
23.2
Step-by-step explanation:
Scaling down by a factor of 1/10 is equal to dividing the number by 10.
So 232 getting scaled down by a factor of 1/10 is equivalent to 232/10 i.e. 23.2.
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>.
-9/15y+3/21=5/15y-14/21
Move 5/15y to the other side. Sign changes from +5/15y to -5/15y
-9/15y-5/15y+3/21=5/15y-5/15y-14/21
-14/15y+3/21=-14/21
Move 3/21 to the other side. Sign changes from +3/21 to -3/21.
-14/15y+3/21-3/21=-14/21-3/21
-14/15y=-14/21-3/21
-14/21-3/21=-17/21
-14/15y=-17/21
Multiply both sides by -15/14
-14/15y(-15/14)
Cross out 15 and 15, divide by 15 then becomes 1
Cross out 14 and 14, divide by 14 then becomes 1
1*1*y=y
-17/21*-15/14
Cross out 15 and 21 , divide by 3. 15/3=2, 21/3=7
17/7*5/14=85/98
Answer: c. y=85/98
Step-by-step explanation:
Multiply 12600 by -3/4 to determine the amount earned.
*12600 can be put over 1.
<u>Multiply:</u>
<u>Simplify by dividing the fraction by 4:</u>
Mikasa has lost $9450.
Answer:
discount = price times % off
discount = 22.50 x 0.20
discount = $4.50
Step-by-step explanation:
