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kolbaska11 [484]
3 years ago
9

The difference between two numbers is 12. The LCM of the two numbers is 133. Find the two numbers.

Mathematics
1 answer:
nikitadnepr [17]3 years ago
5 0
If the difference between two numbers is 12, those two numbers may be:

13...1
14...2
15...3
16...4
etc...

We can ignore numbers which can be divided by themselves (like 2...14 or 4...16), so we have:

13...1
17...5
19...7
20...8
21...9
22...10

Let's stop here and find LCMs of given numbers:

13...1 = 13
17...5 = 85
19...7 = 133
20...8 = 40
21...9 = 63
22...10 = 110

So as we  can see the numbers we're looking for are 19 and 7.
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Two glasses of milk and three snack bars have a total of 72 carbs. and 4 glasses of milk and 2 snack bars have a total of 88 car
melisa1 [442]

Answer:

one glass of milk = 15 carbs

one bar = 14 carbs

Step-by-step explanation:

let 'm' = one glass of milk

let 'b' = one snack bar

system of equations:

2m + 3b = 72

4m + 2b = 88

I used the elimination method and multiplied the 1st equation by -2

  -4m - 6b = -144

+  <u>4m + 2b =  88</u>

           -4b = -56

              b = 14

now solve for 'm'

2m + 3(14) = 72

2m + 42 = 72

2m = 30

m = 15

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3 years ago
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Answer:

g ≤ 48

Step-by-step explanation:

Let g = # of guest

12.50(g) ≤ 600

\frac{12.50g}{12.50} \leq \frac{600}{12.50}

g ≤ 48

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vova2212 [387]
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Helga [31]

Answer:

1. single sample design

2. matched pairs

3. two independent samples.

Step-by-step explanation:

the response variable is known as the dependent variable, it is the variable that the researcher is interested i finding. the response variable is the x variable that responds to changes in the independent variable.

1.

In this question the researcher has only one sample that is the specimen. that is the reference specimen that she obtained. Therefore it is a single sample design.

the response variable here is the measurement of concentration.

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