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almond37 [142]
3 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]3 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]3 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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kykrilka [37]
-50.8 degree Fahrenheit
3 0
3 years ago
A company that teaches self-improvement seminars is holding one of its seminars in Lancaster. The company pays a flat fee of $98
alukav5142 [94]

Answer:

Step-by-step explanation:

Let x represent the number of attendees that it will take the company to break even.

The company pays a flat fee of $98 to rent a facility in which to hold each session. Additionally, for every attendee who registers, the company must spend $16 to purchase books and supplies. This means that the total cost that the company would pay for x attendees is

16x + 98

Each attendee will pay $65 for the seminar. This means that the total revenue that the company would generate from x attendees is 65x.

At the break even point,

total cost = total revenue

Therefore,

16x + 90 = 65x

65x - 16x = 98

49x = 98

x = 98/49

x = 2

It will take 2 attendees and the total expenses and revenues is

2 × 65 = $130

4 0
3 years ago
-7x is less than or equal to -21
julsineya [31]
The answer is x=3
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6 0
2 years ago
On Friday, a fruit stand sold a total of 92 apples and oranges. On Saturday, the fruit stand sold four times the number of apple
andreev551 [17]

Option A : a+o = 92 , 4a+2o = 284 is the right answer

Step-by-step explanation:

Let o be the number of oranges sold on Friday and

a be the number of apples sold on Friday

So,

A total of 92 was sold on Friday will yield the equation

a+o = 92

On Saturday,

4 times the number of apples = 4a

2 times the number of oranges = 2o

So,

4a+2o = 284

Hence,

The system of equations is:

a+o = 92\\4a+2o = 284

Option A : a+o = 92 , 4a+2o = 284 is the right answer

Keywords: Linear equations, variables

Learn more about linear equations at:

  • brainly.com/question/669100
  • brainly.com/question/663692

#LearnwithBrainly

5 0
3 years ago
For a process, the average range for all samples was 5 and the process average was 25. If the sample size was 10, calculate UCL
alexira [117]

Answer:

8.885

Step-by-step explanation:

Given that :

Sample size, n = 10

The average range, Rbar for all samples = 5

The upper control limit, UCL for the R-chart is :

UCL L= D4Rbar

From the control chart constant table, D4 = 1.777

Hence,

UCL = 1.777 * 5

UCL = 8.885

The UCL for the R-chart is 8.885

7 0
2 years ago
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