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spayn [35]
3 years ago
14

Solve the following eqation for x: 6(4x+5)+3=3(x+8)+3. Round to the nearest hundredth

Mathematics
2 answers:
bezimeni [28]3 years ago
8 0
<h2>Steps</h2><h3>Equation: 6(4x + 5) + 3 = 3(x + 8) + 3</h3>

Subtract 3 from both sides

6(4x + 5) + 3 - 3 = 3( x + 8) + 3 - 3

Simplify

6( 4x + 5) = 3(x + 8)

<h3>Apply the distributive law:</h3>

6(4x + 5)

<u>a(b + c) = ab + ac</u>

a = 6, b = 4x, c = 5

= 6 x 4x + 6 x 5

<h3>Simplify</h3>

6 x 4x + 6 x 5

Multiply the numbers: <u>6 x 4 = 24</u>

= 24x + 6 x 5

Multiply the numbers: <u>6 x 5 = 30</u>

= 24x + 30

<h3>Apply the distributive law:</h3>

3(x + 8)

<u>a(b + c) = ab + ac</u>

a = 3, b = x, c = 8

= 3x + 3 x 8

Multiply the numbers: <u>3 x 8 = 24</u>

= 3x + 24

24x + 30 = 3x + 24

Subtract 30 from both sides

24x + 30 - 30 = 3x + 24 -30

Simplify

24x = 3x - 6

Subtract 3x from both sides

24x - 3x = 3x - 6 - 3x

Simplify

21x = -6

Divide both sides by 21

21x/21 = -6/21

Note: Simplify -6/21 to get the value for x.

Answer in fraction: x = -2/7

Answer in decimal rounded to the nearest hundredth: x = -0.29

I know this seems complicated; that's why I did it step by step.

<u />

netineya [11]3 years ago
7 0

24x + 33 = 3x + 27

21x + 33 = 27

21x = -6

X = -.29

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Answer: There are 10 largest number of curtains she can make if she wants all the curtains to be exactly the same length.

There are 5 red fabrics and 11 gold fabrics that would be used for each curtain.

Step-by-step explanation:

Since we have given that

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Number of yards of gold fabric purchased by Jane = 110

We need to find the largest number of curtains she can make if she wants all the curtains to be exactly the same length.

For this we will find H.C.F. of 50 and 110.

Factors of 50 = 1, 2, 5, 10, 25, 50.

Factors of 110 = 1, 2, 5, 10, 11, 22, 55, 110.

So, Highest common factor of 50 and 110 is 10.

So, there are 10 largest number of curtains she can make if she wants all the curtains to be exactly the same length.

Number of yards of red fabric is given by

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Number of yards of gold fabric is given by

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<h3>What is the associative property of addition?</h3>

Associative property of addition postulates that Changing the grouping of addends does not change the sum of the numbers. As an instance, ( 5 + 3 ) + 4 = 5 + ( 3 + 4 )

Consequently, the equation which shows the associative property of addition is; (–7 + i) +7i = –7 (i +7i)

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brainly.com/question/2284106

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