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ANTONII [103]
3 years ago
14

19. Tom has a collection of 30 CDs and Nita has a collection of 18 CDs. Tom is adding 1 CD a month to his collection while Nita

is adding 5 CDs a month to her collection. Find the number of months after which they will have the same number of CDs. Show your work.
Mathematics
2 answers:
morpeh [17]3 years ago
5 0

Answer:  The answer is 3 months.

Step-by-step explanation:  Given that Tom has a collection of 30 CD's and Nita has a collection of 18 CD's. Tom is adding 1 CD a month to his collection while Nita is adding 5 CD's a month to her collection. We are to find the number of months after which both will have the same number of D's.

Let 'x' be the required number of months. Then, we will have

30+1\times x=18+5\times x\\\\\Rightarrow 30+x=18+5x\\\\\Rightarrow 5x-x=30-18\\\\\Rightarrow 4x=12\\\\\Rightarrow x=3.

Therefore, the number of months is 3.

Thus, the answer is 3 months.

kaheart [24]3 years ago
3 0
M = number of months...
30 + m = 18 + 5m
30 - 18 = 5m - m
12 = 4m
12/4 = m
3 = m <== they will have the same amount at 3 months

check...
30 + 3 = 18 + 5(3)
33 = 18 + 15
33 = 33 (correct)
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nonsense because, 6 ≠ 12

Step-by-step explanation:

(15 - 6) - 3 = 15 - (6 - 3)

you gotta to the parentheses first.

9 - 3 = 15 - 3

6 = 12

6 ≠ 12

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adell [148]
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What is the interquartille range of the given data set
IrinaK [193]

Answer: B. 9

Step-by-step explanation:

First, find the median of the data set. This set has an even number of points, so find the average between the two middle points: 18 and 19. 18+19 = 37. 37/2 = 18.5. <em>The median is 18.5.</em>

Now, to find the lower quartile, find the median of the lower half of the data set {11, 12, 14, 15, 18}. The number in the middle is 14. <em>The lower quartile is 14.</em>

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2 years ago
X: y = 1:5 Which is the correct equation? A y = 5x By= C y=x-4 D y=x+4
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2 years ago
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