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spayn [35]
4 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]4 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]4 years ago
7 0

24x + 33 = 3x + 27

21x + 33 = 27

21x = -6

X = -.29

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8 0
3 years ago
HELP.
wolverine [178]

Answer:

x=8

Step-by-step explanation:

5 0
3 years ago
Calen is comparing the prices per child for hosting a birthday at Mr. Bob’s Buffet and Sally’s Pizza Safari.
Bas_tet [7]

Answer:

The cost per child is $2.50 more at Mr. Bob’s Buffet than it is at Sally’s Pizza Safari

Step-by-step explanation:

<u><em>The missing table in the attached figure</em></u>

step 1

Find the cost per child at Mr. Bob’s Buffet

we know that

The cost per child or unit rate is the same that the slope of the linear equation

From the graph take two points

(0,0) and (4,60)

<em>Find the slope</em>

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute

m=\frac{60-0}{4-0}

m=\$15\ per\ child

step 2

Find the cost per child at Sally’s Pizza Safari.

From the data in the table

we have

(4,50) and (6,75)

<em>Find the slope</em>

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute

m=\frac{75-50}{6-4}

m=\$12.5\ per\ child

step 3

<u><em>Verify each statement</em></u>

case A) The cost per child is $2.50 more at Mr. Bob’s Buffet than it is at Sally’s Pizza Safari

The statement is true

Because

The cost per child is $15 at Mr. Bob’s Buffet

The cost per child is $12.50 at Sally’s Pizza Safari

The difference is $2.50 per child

case B) The cost per child is $10.00 more at Mr. Bob’s Buffet than it is at Sally’s Pizza Safari

The statement is false (see the explanation)

case C) The cost per child is $15.00 more at Mr. Bob’s Buffet than it is at Sally’s Pizza Safari

The statement is false (see the explanation)

case D) The cost per child is $5.00 more at Mr. Bob’s Buffet than it is at Sally’s Pizza Safari.

The statement is false (see the explanation)

7 0
3 years ago
Four rectangles are shown in the diagram. For which pair of rectangles is the ratio of the side lengths 1:3? A) D to C B) D to B
slavikrds [6]

Answer:

D)

Step-by-step explanation:

Not sure but hope this helps. ;)

6 0
3 years ago
Read 2 more answers
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