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Kazeer [188]
3 years ago
8

The value of 7m−3 is half as big as the value of 12m+1

Mathematics
2 answers:
shutvik [7]3 years ago
6 0
2(7m-3) = 12m+1
14m-6 = 12m+1
2m = 7
m = 7/2
Ksenya-84 [330]3 years ago
4 0

Answer: m = 3\frac{1}{2}

Step-by-step explanation:

the value of 7m−3 is half as big as the value of 12m+1 implies that

7m - 3 = \frac{1}{2} ( 12m + 1)

cross multiplying, we have

2(7m-3) = 12m + 1

Expanding the L.H.S , we have

14m - 6 = 12m + 1

collecting the like terms ,we have

14m - 12m = 1 + 6

2m = 7

Dividing through by 2

m = 7/2

m = 3\frac{1}{2}

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Maggie's brother is 3 years younger than twice her age the sum of their ages is 24. how old is Maggie?
Likurg_2 [28]

For this case, the first thing we must do is define variables.

We have then:

x: Maggie's age

y: Age of Maggie's brother

We write the system of equations that models the problem.

We have then:

y = 2x-3\\x + y = 24

We solve the system of equations.

For this, we use substitution:

x + (2x-3) = 24

From here, we clear the value of x:

3x - 3 = 24\\3x = 24 + 3\\3x = 27

x = \frac{27}{3}\\x = 9

Answer:

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4 0
3 years ago
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elena55 [62]

Answer:

<u>The correct answer is C. r = 0 because is most likely the closest to the correlation coefficient of the data.</u>

Step-by-step explanation:

Using Excel, we captured the data provided for the 12 different homes for calculating the correlation coefficient manually, this way:

n = 12

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Replacing with the real values, we have:

r = [12 * 167,532  - (904 * 2,169)]/[√(12 * 69,552 - 904²) * (12 * 404,615  - 2,169²)]

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<u>The correct answer is C. r = 0 because is most likely the closest to the correlation coefficient of the data.</u>

4 0
2 years ago
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givi [52]

Answer:

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Step-by-step explanation:


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A raindrops has a mass of 0.50g. how many moles of water does a raindrop contain
alina1380 [7]
So, here you have to look at the periodic table and see what the molar mass of each molecule composing the water compound H_2 O
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That said, looking at the mass, we have to ask ourselves, if a mol of water contains 18g of mass, how many moles do we have in 0.5g of water? 
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