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Gennadij [26K]
3 years ago
13

The sum of 4 consecutive integers is 122. What is the third number in this sequence?

Mathematics
1 answer:
kompoz [17]3 years ago
4 0

Answer:

31

Step-by-step explanation:

Let the smallest integer be x.

Since the 4 integers are consecutive (they come right after the other),

2nd integer= x +1

3rd integer= x +1 +1= x +2

4th integer= x +2 +1= x +3

Sum of the integers= 122

x +x +1 +x +2 +x +3= 122

4x +6= 122

4x= 122 -6

4x= 116

x= 116 ÷4

x= 29

3rd number

= 29 +2

= 31

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sertanlavr [38]
For this case we have the following compound inequality:
 11 <7 + 0.25t ≤ 15
 We must solve this inequality for time.
 We have then:

 For 11 <7 + 0.25t:
 
11 <7 + 0.25t
 11 - 7 <0.25t
 4 <0.25t
 4 / 0.25 <t
 16 <t

For 7 + 0.25t ≤ 15:
 7 + 0.25t ≤ 15
 0.25t ≤ 15 - 7
 0.25t ≤ 8
 t ≤ 8 / 0.25
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 Therefore, the answer is:
 16 <t ≤ 32

 Answer:
 
16 <t ≤ 32
 
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3 years ago
Find the least common denominator of 7/20 and 3/28
Genrish500 [490]

Answer:

140

Step-by-step explanation:

We have been given two fractions \frac{7}{20} and \frac{3}{28}. We are asked to find the least common denominator of both fractions.

To find the least common denominator of both fractions, we will find least common multiple of 20 and 28.

Prime factorization of 20: 2\times 2\times 5

Prime factorization of 28: 2\times 2\times 7

Least common multiple of 20 and 28 would be: 2\times 2\times 7\times 5=140.

Therefore, the least common denominator of both fractions would be 140.

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bixtya [17]

Answer:

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Step-by-step explanation:

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Toby saves 30.30 money by buying 30 T-shirts at better price.

Step-by-step explanation:

Cost of pack of 5 T-shirts = 13.00 money.

Cost of pack of 2 T-shirts = 7.22 money.

Toby wants to buy total T-shirts = 30 T-shirts.

<u>Case 1 </u>:

For 30 T-shirts, If Toby buys in packs of 5 T-shirts then the number of packs he should buy = 30/5 = 6 packs.

The cost for six packs of 5 T-shirts =  6*13.00 = 78.00 money.

<u>Case 2 </u>:

For 30 T-shirts, If Toby buys in packs of 2 T-shirts then the number of packs he should buy = 30/2 = 15 packs.

The cost for 15 packs of 2 T-shirts =  15*7.22 = 108.30 money.

The money saved = 108.30 -78.00 = 30.30 money.

Therefore, The better price to buy 30 T-shirts is 78.00 money.

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Answer:

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since x=0, y would equal 8 and y is the output.

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