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Marianna [84]
3 years ago
15

Solve the equation 3(m + 5) = 3 + 3(2m + 2) for m.

Mathematics
2 answers:
r-ruslan [8.4K]3 years ago
6 0

Answer:

m=2

Step-by-step explanation:

3\left(m+5\right)=3+3\left(2m+2\right)

Expand:

3m+3\times5=3+3\times2m+3\times2

3m+15=3+6m+6

3m+15=6m+9

Subtract 15 from both sides:

3m+15-15=6m+9-15

3m=6m-6

Subtract 6m from both sides:

3m-6m=6m-6-6m

-3m=-6

Divide both sides by -3:

\frac{-3m}{-3}=\frac{-6}{-3}

m=2

svlad2 [7]3 years ago
3 0

Answer:

m=2

Step-by-step explanation:

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In Problems 1-8, determine the level of measurement of each variable.
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The level of measurement of each given variable are:

1. Ordinal

2. Nominal

3. Ratio

4. Interval

5. Ordinal

6. Nominal

7. Ratio

8. Interval

Level of measurement is used in assigning measurement to variables depending on their attributes.

There are basically four (4) levels of measurement (see image in the attachment):

1. <u>Nominal:</u> Here, values are assigned to variables just for naming and identification sake. It is also used for categorization.

  • Examples of variables that fall under the measurement are: Favorite movie, Eye Color.

<u>2. Ordinal:</u> This level of measurement show difference between variables and the direction of the difference. In order words, it shows magnitude or rank among variables.

  • Examples of such variables that fall under this are: highest degree conferred, birth order among siblings in a family.

<u>3. Interval Scale:</u> this third level of measurement shows magnitude, a known equal difference between variables can be ascertain. However, this type of measurement has <em>no true zero</em> point.

  • Examples of the variables that fall here include: Monthly temperatures, year of birth of college students

4. Ratio Scale: This scale of measurement has a "true zero". It also has every property of the interval scale.

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Therefore, the level of measurement of each given variable are:

1. Ordinal

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3. Ratio

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Learn more about level of measurement here:

brainly.com/question/20816026

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Using the speed - distance relationship, the time left before the appointed time is 27 minutes.

<u>Recall</u><u> </u><u>:</u>

  • Distance = speed × time

  • Let time = t

<u>At</u><u> </u><u>10mph</u><u> </u><u>:</u>

  • Distance = 10 × (t + 3) = 10t + 30 - - - (1)

<u>At</u><u> </u><u>12</u><u> </u><u>mph</u><u> </u><u>:</u>

  • Distance = 12 × (t - 2) = 12t - 24 - - - - (2)

<em>Equate</em><em> </em><em>(</em><em>1</em><em>)</em><em> </em><em>and</em><em> </em><em>(</em><em>2</em><em>)</em><em> </em><em>:</em>

10t + 30 = 12t - 24

<em>Collect</em><em> </em><em>like</em><em> </em><em>terms</em><em> </em>

10t - 12t = - 24 - 30

-2t = - 54

<em>Divide</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>by</em><em> </em><em>-</em><em> </em><em>2</em>

t = 54 / 2

t = 27

Hence, the time left before the appointed time is 27 minutes.

Learn more : brainly.com/question/25669152

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