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finlep [7]
3 years ago
8

1/4(-8x - 12) + -4 = 3/4(-8x - 12)

Mathematics
1 answer:
nekit [7.7K]3 years ago
8 0

Here's our equation:

\frac{1}{4} (-8x-12)-4=\frac{3}{4} (-8x-12)

Factor out the left side

(-2x - 3) - 4 = 3/4 (-8x - 12)

Simplify

-2x - 7 = 3/4 (-8x - 12)

Factor out the right side

-2x - 7 = -6x - 9

Add 7

-2x = 6x - 2

Add 6x to isolate the variable

4x = -2

Divide by 4

x = - 1/2

Here is how I simplified both sides initially. I'll only be showing the right side because this is a LOT of typing.

Begin with 3/4 (-8x - 12)

Use rule a*\frac{b}{c} = \frac{a * b}{c} to multiply

3(-8x-12)/4

Factor 3(-8x-12)

(-8x - 12) = (-4 * 2x - 4 * 3)

Simplify (-4 * 2x - 4 * 3)

-3 * 4 (2x+3)

- 12 (2x + 3)

Now that we've factored  3/4 (-8x - 12), we're left with- 12 (2x + 3)/4.

12/4 =3, giving us -3(2x + 3)

Distribute and simplify, then you're done.

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6/1 x 7/4 in simplest form
dalvyx [7]
The answer would be 10.5 in decimal form. In fraction form you could reduce 6 and 4 and make the six a 3 and make the four a 2. Then multiply it out. Which would be 3/1 multiplied by 7/2 = 21/2
6 0
3 years ago
Please help, seriously confused
Rufina [12.5K]
Original height = original width = x mm

1. She made an enlarged copy...
height = 2x
width = 2x

2. She cut off a rectangle...
height = 2x
width = \frac{2}{3} *2x= \frac{4}{3}x

3.She doubled the width...
height = 2x
width = 2*\frac{4}{3}x = \frac{8}{3}x

height * width = area

2x * \frac{8}{3}x=139 \ 968  \\ \\ \frac{16}{3}x^2= 139 \ 968 \\\\ x^2=139 \ 968: \frac{16}{3}=139 \ 968 * \frac{3}{16}=  8 \ 748*3 = 26 \ 244 \\  \\ x= \sqrt{26 \ 244} = 162 \ mm

Original height was 162 mm 
6 0
3 years ago
There are 5 candy canes for every 9 presents. How many candy canes are there when there are 108 presents
Ksju [112]

Answer:

When there are 108 presents, there are 60 candy canes

Step-by-step explanation:

candy canes : presents = 5:9

5/9 = x/108

cross multiply:

(5) (108) = 9x

540 = 9x, divide both sides by 9

x = 60

5 0
3 years ago
Anyone know this??<br> pls help lol
Svetllana [295]
X={6,-10} that is the answer
3 0
3 years ago
Ms santos seashells into 4 row she puts 6 seashells in each row how many seachells are there altogether
kati45 [8]
4 rows and 6 seashells in each row. 
Row 1: 0 0 0 0 0 0
Row 2: 0 0 0 0 0 0
Row 3: 0 0 0 0 0 0
Row 4: 0 0 0 0 0 0

You add all of them together 6+6+6+6=24 
Or you could do 6x4 and your answer would be 24
So the answer to the question is 24 seashells. 
3 0
3 years ago
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