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kifflom [539]
3 years ago
5

Nine less than a number is between 3 and 8. Find the range of numbers that make this true.

Mathematics
1 answer:
Slav-nsk [51]3 years ago
5 0

Answer:

The range of the numbers make this true is (12 , 17)

Step-by-step explanation:

Lets explain how to solve the problem

The statement is:

→ Nine less than a number is between 3 and 8

Assume that the number is x

∵ The number is x

∴ Nine less than a umber is x - 9

→ The difference is between 3 and 8

∴ 3 < x - 9 < 8

∴ Nine less than a number is between 3 and 8 ≡≡≡ 3 < x - 9 < 8

Lets solve the inequality to find the range of x

∵ 3 < x - 9 < 8

Add 9 to each side

∴ 3 + 9 < x - 9 + 9 < 8 + 9

∴ 12 < x < 17

∵ There is no mention about the type of the number that is integer or

   rational number or real number

∴ The range of x is any number between 12 and 17

The range of the numbers make this true is (12 , 17)

<em />

<em>Remember you can use any number between 12 and 17 but you </em>

<em>cannot use 12 or 17</em>

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If 12 workers can dig a tunnel in 100 days, how long will it take 20 workers to dig the tunnel
Paraphin [41]

Answer:

60 days.

Step-by-step explanation:

This is  a proportion question. You compare two ratios. Unfortunately it is an inverse ratio.

12 = k/100                   Multiply both sides by 100

1200 = k

20 = k/x                       Multiply both sides by x

20x = k

20x = 1200                 Divide by 20

20x/20 = 1200/20

x = 60 days.  

An inverse proportion works by making a constant k. The  constant k makes the days shorter when the number of people increases. You should expect that. More people , less time.

3 0
2 years ago
If you can do this thank you :)
garik1379 [7]

Answer:

391

Step-by-step explanation:

because according to the questions that's it

7 0
3 years ago
I need help asap no rocky
SVETLANKA909090 [29]
-2x5 is -10 and 6x5 is 30 so wouldn’t the scale factor be 5?
3 0
3 years ago
Show your work 2 1/5 × 3 1/8
vesna_86 [32]

Solution

For this case we can do the following:

2\cdot\frac{1}{5}=\frac{2\cdot5+1}{5}=\frac{11}{5}3\cdot\frac{1}{8}=\frac{3\cdot8+1}{8}=\frac{25}{8}

And then if we multiply we got:

\frac{11}{5}\cdot\frac{25}{8}=\frac{55}{8}

4 0
1 year ago
I need some help . I don't understand
CaHeK987 [17]
The answer is d. angles 8 and 16
8 0
3 years ago
Read 2 more answers
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