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Flura [38]
2 years ago
12

Volunteers at a food pantry pack boxes of soup into crates. How many boxes of soup will fill each crate? Show your work.

Mathematics
1 answer:
Whitepunk [10]2 years ago
4 0

Answer:

54 boxes

Step-by-step explanation:

Dimension of crate = 12 in by 18 in by 12 in

Volume of crate = (12 * 18 * 12) = 2592 in³

Dimension of box = 4 in by 2 in by 6 in

Volume of box = (4 * 2 * 6) = 48 in³

Number of boxes of soup that will fill each crate :

Volume of crate / volume of box

2592 in³ / 48 in³

= 54 boxes

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Savannah was paid $87 for 12 hours of babysitting and $65.25 for 9 hours. What is the constant of proportionality that describes
antoniya [11.8K]
12 hours worth $87

1 hour would be  $87/12 = $7.25


9 hours worth $65.25

1 hour would be  $65.25/9 = $7.25


The constant of proportionality is  $7.25 per hour.
7 0
3 years ago
What's the equation for twice the difference of a number and 6 is equal to three times the sum of the number and 3
alukav5142 [94]
2(x-6)=3(x+3)

Let's solve your equation step-by-step.

<span><span>2<span>(<span>x−6</span>)</span></span>=<span>3<span>(<span>x+3</span>)

</span></span></span>Step 1: Simplify both sides of the equation.

<span><span>2<span>(<span>x−6</span>)</span></span>=<span>3<span>(<span>x+3</span>)

</span></span></span><span>Simplify: (Show steps)

</span><span><span><span>2x</span>−12</span>=<span><span>3x</span>+9

</span></span>Step 2: Subtract 3x from both sides.

<span><span><span><span>2x</span>−12</span>−<span>3x</span></span>=<span><span><span>3x</span>+9</span>−<span>3x

</span></span></span><span><span><span>−x</span>−12</span>=9

</span>Step 3: Add 12 to both sides.

<span><span><span><span>−x</span>−12</span>+12</span>=<span>9+12

</span></span><span><span>−x</span>=21

</span>Step 4: Divide both sides by -1.

<span><span><span>−x/</span><span>−1</span></span>=<span>21/<span>−1

</span></span></span><span>x=<span>−21

</span></span>Answer:

<span>x=<span>−<span>21</span></span></span>
8 0
2 years ago
13) (3,1) and (0,-4)
melamori03 [73]
Could you elaborate on the question?
4 0
3 years ago
Read 2 more answers
If you spin the spinner 100 times how many times can you expect it to land in yellow?
gayaneshka [121]

Answer:

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5 0
2 years ago
Item 6 Your city is represented in a coordinate plane where each unit represents 1 kilometer. The library is at (−3, −3), the po
Snezhnost [94]

We know, shortest distance between two points (x_1,y_1) and (x_2,y_2) is :

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

So, distance between house and library is :

d_1=\sqrt{(-5-(-3))^2+(2-(-3))^2}\\\\d_1=5.39\ km

Distance between library and post office :

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\D=\sqrt{(-3-2)^2+(-3-2)^2}\\\\D=7.07\ km

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D=\sqrt{(2-(-5)^2)+(2-2)^2}\\\\D=7\ km

Therefore, minimum distance that you can ride your bike is (5.39+7.07+7) km = 19.46  km.

Hence, this is the required solution.

8 0
3 years ago
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