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almond37 [142]
2 years ago
6

A cereal manufacturer decides to offer a new family-sized box based on the regular-sized box. They want the volume of the family

-sized box to be three times the volume of the regular-sized box. However, they want the length of the family-sized box to be the same as the regular-sized box. If they decide to double the width to create the family-sized box, by what factor must they increase the height?
Mathematics
2 answers:
Darya [45]2 years ago
7 0

<span>volume = l x w x h</span>

<span> to increase volume by 3 you would have  3*l*w*h </span>

<span>so 3*l*w*h= l*2*w* x *h  ( x is the scale factor)

</span><span> cancel out the l w and h on both sides

3 = 2x 

Divide both sides by 2   

 x = 3/2 = 1.5

</span><span> the height should increase by a factor of 1.5</span>

arlik [135]2 years ago
7 0

Answer:

<u><em>3/2 or 3 over 2</em></u>

Step-by-step explanation:

A cereal manufacturer decides to offer a new family-sized box based on the regular-sized box.

They want the volume of the family-sized box to be three times the volume of the regular-sized box. However, they want the length of the family-sized box to be the same as the regular-sized box.

If they decide to double the width to create the family-sized box, by what factor must they increase the height?

Odyssey Question

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Convert 12080 gallons per month into liters per hour
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The average starting salary for graduates at a university is $25,000 with a standard deviation of $4,000. if a histogram of the
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3 0
2 years ago
Researchers recorded that a group of bacteria grew from 100 to 7,000 in 14 hours. At this rate of growth, how many bacteria will
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The number of bacteria grown in 32 hours is 15771

<u>Step-by-step explanation:</u>

It is given that,

Researchers recorded that a group of bacteria grew from 100 to 7,000 in 14 hours.

Therefore, the bacteria has grown from 100 to 7000 in 14 hours.

<u> To calculate number of bacteria grown in 14 hours :</u>

⇒ 7000 - 100 = 6900

6900 bacteria grows in 14 hours. We need to find out the growth of bacteria in 1 hour in order to calculate its growth in 32 hours.

<u>To calculate number of bacteria grown in 1 hour :</u>

⇒ Total bacteria growth in 14 hours / 14

⇒ 6900 / 14

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<u>To calculate number of bacteria grown in 32 hours :</u>

⇒ 492.85 × 32

⇒ 15771.2

⇒ 15771  (rounded to nearest whole number)

∴ The number of bacteria grown in 32 hours is 15771

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Read 2 more answers
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