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kramer
3 years ago
12

Dvd Cases are sold in packages of 5. Padded Mailing Envelopes are sold in packets of 14. what is the last number of cases and en

velopes you could buy, so that there is one case for each envelope with none left over, is ___ cases and ___ envelopes.
Mathematics
1 answer:
lukranit [14]3 years ago
8 0

Answer:

14 dvd cases

5 envelopes

Step-by-step explanation:

We need to find the least common multiple of 5 and 14

Find the prime factors

5 = 5*1

14 = 2*7

Multiple them together

2*5*7 = 70

The least common multiple is 70

70/5 = 14 so we need to buy 14 dvd cases

70/14 = 5 so we need to buy 5 envelopes

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Suppose we want to choose a value of x within 3 units of 11. [This means a value of x that is less than 3 units away from 11.] T
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Answer:

(a) [8, 14]

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(c)See attachment

Step-by-step explanation:

We want to choose a value of x within 3 units of 11.

(a)Now, 11-3=8 and 11+3=14

The possible values of x ranges is in the closed interval [8,14]

(b) Since x is within 3 units of 11., we have:

|11-x|\leq3

Solving the absolute inequality

-3 \leq 11-x \leq 3\\$In $ -3 \leq 11-x\\ x \leq 11+3\\x \leq 14\\\\$In $ 11-x \leq 3\\ 11-3 \leq x\\8 \leq x\\$Therefore,an inequality that represents all values of x that meet this constraint is:$\\8 \leq x \leq 14

(c)To draw the number line, we use a closed dot since we have the less than or equal to sign.

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3 years ago
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Step-by-step explanation:

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