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liubo4ka [24]
3 years ago
8

The berry-picking boxes at Bingo Berry Farm have square bottoms that are 8 centimeters on each side. Todd fills his box with ras

pberries to a height of 6 centimeters. What is the volume of raspberries in Todd's box?
Mathematics
1 answer:
Ugo [173]3 years ago
7 0

To find volume of a rectangular prism, do width * length * height

For Todd, 8cm * 8cm * 6cm = 288cm^3

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Evaluate the following expression.<br> 12÷4×32+(4−2)5
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answer is 111

Step-by-step explanation:

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<u>QUESTION 1</u>

The given system of equation is

y=x-6...eqn1

and


3x+2y=8...eqn2


Let us substitute equation (1) into equation (2) to get,

3x+2(x-6)=8


We expand the bracket to get,

3x+2x-12=8


We simplify to get.

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5x=8+12

\Rightarrow 5x=20

\Rightarrow x=4


We now substitute x=4 in to equation (1) to obtain,


y=4-6=-2


The correct answer is option A.


<u>QUESTION 2</u>

The given system of equations is

y-x=9...eqn1


and

10+2x=-2y...eqn2

We make y the subject in equation (2) to get,

y=-x-5..eqn3


We put equation (3) into equation (1) to obtain,


-x-5-x=9


We group like terms to get,

-x-x=9+5


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-2x=14


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x=-7


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<u>QUESTION 3</u>

The given system is

y=3x-1..eqn1


and


x-y=-9...eqn2

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x=y-9...eqn3


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y=3y-27-1


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y-3y=-27-1


We simplify to get;

-2y=-28


This implies that,

y=14


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3 years ago
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