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CaHeK987 [17]
3 years ago
8

Solve for x. A. x = 12 B. x = 4 C. x = 3 D. x = 1

Mathematics
2 answers:
kakasveta [241]3 years ago
7 0

Answer:

4=x

Step-by-step explanation:

1/5( 2x+92) = 5x

Multiply each side by 5

5*1/5( 2x+92) = 5x*5

( 2x+92) = 25x

Subtract 2x from each side

2x+92-2x = 25x-2x

92 = 23x

Divide by 23

92/23 = 23x/23

4=x

svlad2 [7]3 years ago
7 0

Answer:

x = 4

Step-by-step explanation:

1/5 ( 2x + 92 ) = 5x

\small \sf \frac{1}{5} ×  ( 2x + 92 ) = 5x \\

distribute 1/5 through the parantheses

\small \sf \frac{2}{5}x +  \frac{92}{5} = 5x \\

multiply both side of equation by 5

\small \sf \frac{2}{5}x \times 5 +  \frac{92}{5} \times 5 = 5x  \times 5\\

  • 2x + 92 = 25x

Move all variables to the left hand side and change their sign

  • 2x + 92 - 25x = 0

combine like terms

  • 2x - 25x + 92 = 0

calculate

  • -23x + 92 = 0

Move all the constant to the right side and change their sign

  • -23 x = - 92

divide both side by -23x

  • -23x / -23 = -92/-23
  • x = 4
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The commutative property implies that, the order of multiplication is not important.

(-\frac 89) \cdot (18) \cdot (-13) is true

Commutative property of multiplication states that:

If a \times b  = b \times a

The expression is given as:

(-\frac 89)\cdot (-13) \cdot (18)

To get the commutative expression, we simply change the position of each factor in the expression.

So, some possible equivalent expressions are:

(18) \cdot (-13) \cdot (-\frac 89)

(18)\cdot (-\frac 89) \cdot (-13)

(-13) \cdot (18) \cdot (-\frac 89)

There are several other equivalent expressions.

From the list of options;

(-\frac 89) \cdot (18) \cdot (-13) is true

Read more about commutative property at:

brainly.com/question/7037119

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Prove the following statements: (a) For every integer x, if x is even, then for every integer y, xy is even. (b) For every integ
Murrr4er [49]

Answer and Step-by-step explanation:

(a) Given that x and y is even, we want to prove that xy is also even.

For x and y to be even, x and y have to be a multiple of 2. Let x = 2k and y = 2p where k and p are real numbers. xy = 2k x 2p = 4kp = 2(2kp). The product is a multiple of 2, this means the number is also even. Hence xy is even when x and y are even.

(b) in reality, if an odd number multiplies and odd number, the result is also an odd number. Therefore, the question is wrong. I assume they wanted to ask for the proof that the product is also odd. If that's the case, then this is the proof:

Given that x and y are odd, we want to prove that xy is odd. For x and y to be odd, they have to be multiples of 2 with 1 added to it. Therefore, suppose x = 2k + 1 and y = 2p + 1 then xy = (2k + 1)(2p + 1) = 4kp + 2k + 2p + 1 = 2(kp + k + p) + 1. Let kp + k + p = q, then we have 2q + 1 which is also odd.

(c) Given that x is odd we want to prove that 3x is also odd. Firstly, we've proven above that xy is odd if x and y are odd. 3 is an odd number and we are told that x is odd. Therefore it follows from the second proof that 3x is also odd.

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3 years ago
7. Which model shows two equal expressions when the value of x is 4?
Zigmanuir [339]

Answer:

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