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Nikolay [14]
3 years ago
11

The sum of two numbers is 82. The larger number is eight less then five times the smaller number. What are the numbers?

Mathematics
1 answer:
bonufazy [111]3 years ago
6 0

Answer:

The smaller Number = 15

The larger number = 67

Step-by-step explanation:

Let

The smaller number = x

The larger number = 5x - 8

The sum = 82

(5x - 8) + x = 82

5x - 8 + x = 82

6x - 8 = 82

Add eight to both sides

6x - 8 + 8 = 82 + 8

6x = 90

Divide both sides by 6

x = 90/6

= 15

Therefore,

The smaller number = x = 15

The larger number = 5x - 8

= 5(15) - 8

= 75 - 8

= 67

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There are 34 Pre-K children and 29 kinder garden children on the playground, some boys and some girls. The ratio of boys to girl
Natali [406]

There are 27 boys on the playground.

Step-by-step explanation:

No. of Pre-K children = 34

No. of kindergarten children = 29

Total no of children = 29+34 = 63

Ratio of boys to girls = 3:4

Total ratio = 3+4 = 7

Therefore,

boys proportion = \frac{3}{7}

Total number of boys = \frac{3}{7}\ of\ total\ number\ of\ children

Total\ number\ of\ boys = \frac{3}{7} *63\\Total\ number\ of\ boys = \frac{189}{7} \\Total\ number\ of\ boys = 27

There are 27 boys on the playground.

Keywords: Proportion, division.

Learn more about proportion at:

  • brainly.com/question/2283067
  • brainly.com/question/2284968

#LearnwithBrainly

5 0
3 years ago
36 is 0.09% of what number
alexgriva [62]
Х-100%
36-0,06%
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8 0
3 years ago
2. Tickets to a play cost $344.50 for a group of 12 adults and 10 children. Each aduit ticket cost
Drupady [299]
Each kid ticket will cost 12.25 dollars because 18.50 times 12 equals 222 dollars. You subtract 222 from 344.50 to get the total amount for 10 kids which is 122.50 dollars. 122.50 divides by 10 is 12.50.
5 0
3 years ago
Help pls i need this done asap ty
zhuklara [117]

Answer:

b) 7.89*10^4

c) 3.15*10^3

Step-by-step explanation:

2-42)

the coefficient in scientific notation (the number that is not 10^x) has to be greater or equal to 1 and less than 10. so c and b are incorrect.

b) 0.789*10^5

c) 31.5*10^2

b) 0.789*10^5

in order to make 0.789 greater than 1, I would just multiply it by 10. shown below

=0.789*10*10*10*10*10

=7.89*10*10*10*10

=7.89*10^4

c) 31.5*10^2

same concept but this time divide by 10 to make 3.15 which will add another *10 to the exponent

=31.5*10*10

=3.15*10*10*10

=3.15*10^3

6 0
3 years ago
Read 2 more answers
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