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oksano4ka [1.4K]
3 years ago
11

Solve the linear equation: ½(x +10) = ⅔ x - 5

Mathematics
1 answer:
Dmitrij [34]3 years ago
7 0
Answer: x=60


Steps:

First, distribute the 1/2

1/2x + 5 = 2/3x -5

Next, move all the like variables to one side by subtracting 2/3x from both sides.

-1/6x + 5 = -5

Subtract 5 from both sides

-1/6x = -10

Isolate the c by dividing both sides by -1/6

x=60

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3 0
4 years ago
A2 = -8 and a5 = -512<br> Find a10
yawa3891 [41]

Answer:

The value of a₁₀ is -1352

Step-by-step explanation:

a₂ = -8

a₅ = -512

Now,

a₂ = -8 can be written as

a + d = -8 ...(1) and

a₅ = -512 can be written as

a + 4d = -512 ...(2)

Now, from equation (2) we get,

a + 4d = - 512

a + d + 3d = - 512

(-8) + 3d = - 512 (.°. <u>a + d = </u><u>-8</u><u>)</u>

3d = - 512 + 8

3d = - 504

d = - 504 ÷ 3

d = - 168

Now, for the value of a put the value of d = -168 in equation (1)

a + d = -8

a + (-168) = -8

a - 168 = -8

a = 168 - 8

a = 160

Now, For a₁₀

a₁₀ = a + 9d

a₁₀ = 160 + 9(-168)

a₁₀ = 160 - 1512

a₁₀ = -1352

Thus, The value of a₁₀ is -1352

<u>-TheUnknownScientist</u>

8 0
3 years ago
In Problems 1-8, determine the level of measurement of each variable.
lbvjy [14]

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.

  • Examples are: ages of children, volume of water used.

Therefore, 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

Learn more about level of measurement here:

brainly.com/question/20816026

3 0
3 years ago
Minnie went to Orlando Bank to get a student loan. She borrowed $700 at a 12% interest rate compounded annually over 2 years. Ho
Sonbull [250]

Answer:

she have to pay rs.168 at the end of two years

8 0
3 years ago
Ok sorry let me put it this way.... Millie has 15 counters Tom has 8 counters how would you do a Comparison? On how much each co
hodyreva [135]
Yes because 15+8=23 divide that into a number that could each child have and just make it into equal amounts
7 0
3 years ago
Read 2 more answers
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