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Anuta_ua [19.1K]
3 years ago
14

5) Find the distance between -9 and 12 on a number line.​

Mathematics
1 answer:
kati45 [8]3 years ago
3 0

Answer: Hope this helps!!!

Step-by-step explanation:Absolute Value: You need to find how far away both numbers are from zero, then add these values together to see how far apart these numbers. The absolute value of nine, |-9| is 9, and |12| is 12. This means that the nine is nine spots away from zero, and twelve is twelve spots from zero. This means that the numbers are 20 units from each other.

Distance -9 is from 12 You need to find how much of an increase from nine you need to reach the twelve. So -9 + ? = 12. What number can you add to equal twelve? You can add 20 to make the equation true. (? = 20) The distance from -9 to 12 is a positive 20.

Distance from 12 to -9 This is similar to the previous example. What number can you insert to make the 12 equal the negative nine? 12 - ? = -9. The number would be -20, which means that 12 is 20 spots away from the negative nine, as it took at negative twenty to get us to the negative nine.

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Dylan just started a running plan where he runs 14 miles the first week and then increases the number of miles he runs by 10% ea
Vladimir79 [104]

Answer:

36 miles

Step-by-step explanation:

Given - Dylan just started a running plan where he runs 14 miles the first

            week and then increases the number of miles he runs by 10% each

            week.

To find - If he keeps up this plan for 11 weeks, how many total miles would  

              Dylan have run ?

Proof -

1st week = 14 miles

2nd week = 14 + 10% of 14 = 14 + 1.4 = 15.4

3rd week = 15.4 + 10% of 15.4 = 15.4 + 1.54 = 16.94

4th week = 16.94 + 10% of 16.94 = 16.94 + 1.694 = 18.634

5th week = 18.634 + 10% of 18.634 = 18.634 + 1.8634 = 20.4974

6th week = 20.4974 + 10% of 20.4974 = 20.4974 + 2.04974 = 22.54714

7th week = 22.54714 + 10% of 22.54714 = 22.54714 + 2.254714 = 24.801857

8th week = 24.801857  + 10% of 24.801857  = 24.801857  + 2.4801857  = 27.2820427

9th week = 27.2820427  + 10% of 27.2820427  = 27.2820427+ 2.72820427  = 30.01024697

10th week = 30.01024697  + 10% of 30.01024697  = 30.01024697 + 3.001024697  = 33.01127167

11th week = 33.01127167  + 10% of 33.01127167  = 33.01127167 + 3.301127167  = 36.31239884 ≈ 36

∴ we get

Total miles Dylan would run = 36 miles.  

8 0
3 years ago
8 - 5x3, for x = -1<br><br> The 3 after the x is a exponent plz help!!!!
zvonat [6]

Answer:

13

Step-by-step explanation:

8-5x^3, if x = -1

=8-5(-1)^3

=8+5

=13

6 0
3 years ago
Factor completely 5x^2 + 20x
murzikaleks [220]

Answer: 5x(x + 4)

hope i helped

7 0
3 years ago
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When simplified, the expression shown below can be written as which choice shown?
DanielleElmas [232]
(3) -34 is your answer
8 0
3 years ago
Water is leaking from a jug at a constant rate. After leaking for 2 hours, the jug contains 48 fluid ounces of water. After leak
devlian [24]

Answer:

2 fluid ounce/hour

Step-by-step explanation:

2 hours to 5 hours ; 3 hours apart

leaks: 48 -42 = 6 fluid ounce

rate of leak = 6/3 = 2 fluid ounce/hour

8 0
4 years ago
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