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Luda [366]
3 years ago
12

Solve this equation. (3x+10)−(2x−9)=43

Mathematics
2 answers:
julia-pushkina [17]3 years ago
6 0

Answer:

x = 24

Step-by-step explanation:

Simplify  

( 3 x +10 ) − ( 2 x − 9 )

Simplify each term.

Apply the distributive property.

3 x + 10 − ( 2 x)−   = 43  

Multiply  2  by  − 1 .

3 x + 10 − 2 x −  − 9 = 43

Multiply  − 1  by  − 9 .

3 x + 10 − 2 x + 9 = 43

Simplify by adding terms.

Subtract  2 x  from  3 x .

x + 10 + 9 = 43

Add  10  and  9 .

x + 19 = 43

Move all terms not containing  x  to the right side of the equation.

Subtract  19  from both sides of the equation.

x = 43 − 19

Subtract  19  from  43 .

x = 24

Rus_ich [418]3 years ago
4 0

Answer: X = 24

Step-by-step explanation:

Move all terms to the left:

(3x + 10) - (2x - 9) - 43 = 0

Get rid of all the parenthesis:

3x + 10 - 2x - 9 - 43 = 0

Add all the numbers and all variable:

x-24 = 0

Move all terms containing x to the left and all other terms to the right:

x = 24

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The shape of the distribution, is symmetric, is the best description of   statistics about scores.

<h3 /><h3>What is standard deviation ?</h3>

The standard deviation is the positive square root of the variance of this data set. Variance of a data set is the sum of squared differences of the data values from its mean to the total count of data values.

The given data in the problem is;

Mean = 78%

Standard deviation = 4%

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The condition for the symmetric distribution is found as;

(\rm Q_2-Q_1)=Q_3-Q_2)

From the data we have;

(\rm Q_2-Q_1)=Q_3-Q_2)\\\\ (\rm Q_2-Q_1)= (\rm 84-78)= 6 \\\\ Q_3-Q_2)=(78-72) = 6 \\\\

So that , (\rm Q_2-Q_1)=Q_3-Q_2).

Hence, the condition of symmetry is followed.

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brainly.com/question/15970176

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Step-by-step explanation:

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Now we will add/subtract values so that all x values are on the right and all number values are on the left.

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