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Deffense [45]
4 years ago
5

5x-3(2x+7) and then evaluate if x=-2

Mathematics
1 answer:
Kamila [148]4 years ago
8 0

Answer:

-19

Step-by-step explanation:

5x-3(2x+7) and then evaluate if x=-2

5(-2)-3(2(-2)+7)=

-10-3(-4+7)=

-10+12-21

2+-21

-19

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The sum of 14 and a number is equal to 7
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The mean mark of a group of 10 boys is 58. If the mean of 7 of them is 61, what is the mean of the remaining 3 boys
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The mean of the remaining 3 boys is 51.

Step-by-step explanation:

The mean mark of the entire group (p_{10}), dimensionless, is:

p_{10} = \frac{1}{10}\cdot \Sigma_{i = 1}^{10} x_{i} (Eq. 1)

(p_{10} = 58)

\frac{1}{10}\cdot \Sigma_{i=1}^{10} x_{i} = 58 (Eq. 1b)

Where x_{i} is the mark of the i-th boy, dimensionless.

In addition, we know the following mean marks from statement:

p_{7} = \frac{1}{7} \cdot \Sigma_{i = 1}^{7} x_{i} (Eq. 2)

(p_{7} = 61)

\frac{1}{7}\cdot \Sigma_{i=1}^{7} x_{i} = 61 (Eq. 2b)

p_{3} = \frac{1}{3}\cdot \Sigma_{i=8}^{10}x_{i} (Eq. 3)

Where:

p_{7} - Mean mark of the first 7 boys, dimensionless.

p_{3} - Mean mark of the remaining 3 boys, dimensionless.

By applying sum properties in (Eq. 1b) and using (Eq. 2b) and (Eq. 3), we obtain the mean of the remaining 3 boys:

\frac{1}{10}\cdot [\Sigma_{i = 1}^{7}x_{i}+\Sigma_{i=8}^{10}x_{i}] = 58

\frac{1}{10}\cdot [7\cdot (61)+3\cdot p_{3}] = 58

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p_{3} = \frac{153}{3}

p_{3} = 51

The mean of the remaining 3 boys is 51.

7 0
3 years ago
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