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3 years ago

5(x – 4) + 3x – 9x = 6 – (2x + 5) + 8x

Mathematics

1 answer:

arlik [135]3 years ago

3 0

Answer:

-3

Step-by-step explanation:

We need to use the distributive property a couple times to expand the parentheses.

Remember that when expanding parentheses, we find the sum of the products of the outside term with each of the inside terms.

5(x - 4) = 5 * x + 5 * (-4) = 5x - 20

-(2x + 5) = -1 * 2x + -1 * 5 = -2x - 5

Now we have:

5x - 20 + 3x - 9x = 6 - 2x - 5 + 8x

Combine all the terms with x:

-x - 20 = 6x + 1

7x = -21

Divide by 7:

x = -21/7 = -3

The answer is thus -3.

~ an aesthetics lover

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Simplify the expression by arranging the steps in sequence, based on the order of operations.

lubasha [3.4K]

Answer:

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General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

Algebra I

Terms/Coefficients/Degrees

Step-by-step explanation:

Step 1: Define

$\displaystyle \frac{1}{6}(30x + 24) - \frac{1}{7}(63 - 7x)$

Step 2: Simplify

Distribute: $\displaystyle \frac{1}{6}(30x) + \frac{1}{6}(24) - \frac{1}{7}(63) - \frac{1}{7}(-7x)$
Multiply: $\displaystyle 5x + 4 - 9 + x$
Rearrange: $\displaystyle 5x + x + 4 - 9$
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2 years ago

A rectangular auditorium seats 1344 people. The number of seats in each rows exceeds the number of rows by 20. Find the number o

Tasya [4]

Let the number of rows be x

rows = x
seats in each row = x + 20

total seats = 1344
x (x + 20) = 1344
x^2 + 20x - 1344 = 0
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x = -48 (rejected, answer cannot be negative) or x = 28

Therefore,
x = 28
x + 20 = 48

Check:
Row = 28
Numbers of seat per row = 28 + 20 = 48
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Ans:There are 48 seats per row

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