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Bumek [7]
3 years ago
8

Need help with equations with variables on both sides, giving 100 points, tysm if you help :) 6 (2x-4) = 8(x +2) A. 3 B. 10 C. 2

D. -2 3 (4p - 2) = -6 (1 - 2p) A. no solution B. all real numbers C. 0 D. -6 5 ( x- 2) = 3 (x + 6) -8 A. 10 B. 1 C. -1 D. 0 6 (2x-3) = - (x - 9) + 4x A. -6 B. -3 C. 9 D. 3
Mathematics
1 answer:
scoundrel [369]3 years ago
3 0

Answer:

B. 10

C. All real numbers.

Step-by-step explanation:

6 (2x-4) = 8(x + 2)

Distribute the numbers outside of the factors:

12x - 24 = 8x + 16

Subtract both sides by '8x'

12x - 8x - 24 = 8x - 8x + 16

4x - 24 = 16

Add '24' to both sides:

4x = 40

Divide both sides by 4:

x = 10. Therefore, <u>B. 10</u> is the correct answer.

3(4p - 2) = -6(1 - 2p)

Distribute the numbers similarly to the example before:

12p - 6 = -6 + 12p

Subtract '12p' from both sides:

12p - 12p -6 = -6 + 12p - 12p

0 -6 = -6

Add '6' to both sides:

0 - 6 + 6 = -6 + 6

0 = 0

Therefore, the solution consists of <u>all real numbers.</u>

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Answer:

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Step-by-step explanation:

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7 0
3 years ago
Madeline uses this scale model of a design she plans to paint on a wall. She uses the key 1 cm = 1. 5 ft. One gallon of paint wi
Arte-miy333 [17]

The amount of paint required by Madeline will be 0.8325 gallons

<h3>What amount of paint will be required by Madeline?</h3>

Given that

1cm=1.5ft

We will first find the area of the wall

Area of the wall = Area of trapezoidal shape+ Area of triangular shape

Area of trapezoid = \dfrac{a+b}{2} \times h

a= 4cm

b=14cm

h=10cm

putting this values

A=\dfrac{4+14}{2} \times 10

A=90cm^{2}

Area of triangular shape=  \dfrac{1}{2} \times width\times height

width=14cm

height=8cm

putting the values

A=\dfrac{1}{2} \times 14\times 8=58cm^{2}

Total area of the wall= 90+58=148cm^{2}

since we have

1cm=1.5ft

148cm^{2} = 148\times (1.5)^{2} =333 ft^{2}

Now

1gallon = 400ft^{2}

so for  333 ft^{2}  amount of paint in gallons required will be

1ft^{2} =\dfrac{1}{400} gallons

333ft^{2} =\dfrac{333}{400} gallons=0.8325gallons

Thus the amount of paint required by Madeline will be 0.8325 gallons

To know more about the area of trapezoid follow

brainly.com/question/1463152

4 0
2 years ago
Find y when x=10. If y=8 when x=20.
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It would be: 9m - 5m + 2
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3 years ago
For what value of x is r(x) = 22?​
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FIND THE VALUE (x) = RATE
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