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ValentinkaMS [17]
3 years ago
8

Kendra is babysitting her cousins, who are quintuplets. At snacktime, Kendra puts 5 plates on the table. She cuts apples into sl

ices and places an equal number of slices on each cousin's plate. There is a total of 35 apples slices on the plates.
Which equation can you use to find the number of apple slices s on each plate?
Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
3 0

Answer:

Kendra is watching over 5 children. She wants to be sure that they each have an even number of apple slices. There are 35 apple slices total. She wants to take 35 and put it equally into 5 groups.

Your equation would be 5s=35, where s would be the total amount of apple slices on each plate.

To solve this equation you would divide both sides by 5 to get 7. s=7 (35/5=7)

Each quintuplet would be 7 apple slices.

Hope this helps ;)

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What is the product of the binomials below? (3x+6)(4x+2)
RUDIKE [14]

Answer:

7x (times) 8

Step-by-step explanation:

(3x+6)(4x+2)

(3x + 4x)(6 + 2)

7x (times) 8

3 0
3 years ago
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Austin makes $5.50 per hour. Which expression represents his pay?
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3 years ago
2.1 x 10^5 +4.3 x 10^4
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Answer:

253,000

Step-by-step explanation:

  1. 10^{5} = 100000  
  2. 10^{4} = 10000  
  3. Plug the above answers in: 2.1 × 100,000 + 4.3 × 10,000
  4. 2.1 × 100,000 = 210,000
  5. Plug 210,000 in: 210,000 + 4.3 × 10,000
  6. 4.3 × 10,000 = 43,000
  7. Plug 43,000 in: 210,000 + 43,000
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I hope this helps!

4 0
3 years ago
An open-top rectangular box with square base is to be made from 100 square feet of material, as shown.
-Dominant- [34]

The largest possible volume of the given box is; 96.28 ft³

<h3>How to maximize volume of a box?</h3>

Let b be the length and the width of the base (length and width are the same since the base is square).

Let h be the height of the box.

The surface area of the box is;

S = b² + 4bh

We are given S = 100 ft². Thus;

b² + 4bh = 100

h = (100 - b²)/4b

Volume of the box in terms of b will be;

V(b) = b²h = b² * (100 - b²)/4b

V(b) = 25b - b³/4

The volume is maximum when dV/db = 0. Thus;

dV/db = 25 - 3b²/4

25 - 3b²/4 = 0

√(100/3) = b

b = 5.77 ft

Thus;

h = (100 - (√(100/3)²)/4(5.77)

h = 2.8885 ft

Thus;

Largest volume = [√(100/3)]² * 2.8885

Largest Volume = 96.28 ft³

Read more about Maximizing Volume at; brainly.com/question/1869299

#SPJ1

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1 year ago
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