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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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bob has 76 pencils , he wants to put the same number into 12 different boxes. how many will be in each box
marusya05 [52]

Answer:

6, but 4 pencils will remain

Step-by-step explanation:

76/12=6 1/3

To find the remainder, multiply the decimal or fraction by the divisor. 1/3*12= 4. Four pencils remain with six in each box.

6 0
3 years ago
Read 2 more answers
Solve the system of equations<br> .625x - y = -9.625<br> -65x - y = -5
Ivan
Here, 0.625x - y = -9.625
y = 0.625x + 9.625

Substitute the value of y in 2nd equation, 
-65x - (0.625x + 9.625) = -5
-65x - 0.625x -9.625 = -5
-65.625x = 9.625 - 5
x = -4.625/65.625
x = -0.070

Now, substitute it in first equation, 
-65(-0.070) - y = -5
4.58 + 5 = y
y = 9.58

In short, Your Answer would be: (-0.070, 9.58)

Hope this helps!
6 0
4 years ago
The farmer graphs a step function to model the situation. Which of the following describes the farmer’s graph for the step that
marshall27 [118]
Missing data:
Almond Prices
Number of Pounds

Cost (per pound)
up to 10
$20

more than 10, and up to 20
$15

more than 20, and up to 30
$10

more than 30
<span>$5
</span>
A) a horizontal line with an open circle at (20, 10) and a closed circle at (30, 10); $207.50
B) a horizontal line with a closed circle at (20, 10) and an open circle at (30, 10); $207.50
C) a horizontal line with an open circle at (21, 10) and a closed circle at (30, 10); $311.25
<span>D) a horizontal line with a closed circle at (21, 10) and an open circle at (30, 10); $311.25
</span>
20.75 pounds is in the more than 20, and up to 30 ; <span>$10 range.
y = 10(20.75)
y = 207.50

open circle means less than or greater than. close circle means "less than or equal to" or "greater than or equal to"

</span><span>My answer : A) a horizontal line with an open circle at (20, 10) and a closed circle at (30, 10); $207.50</span><span>

</span>
4 0
3 years ago
the length of a soccer pitch is 20 m less than twice its width. the area of the pitch is 6000m^2. find its dimensions.
Setler79 [48]
X=width of a coccer pitch
2x-20=length of a soccer pitch
Area (rectangule)=length x width
We suggest this equation:
x(2x-20)=6000
2x²-20x=6000
2x²-20x-6000=0
x²-10x-3000=0
We solve this quadratic equation:

x=[10⁺₋√(100-4*1*-3000)]/2=[10⁺₋√(100+12000)]/2=
=(10⁺₋110)/2
we have two solutions:
x₁=(10-110)/2=-50, invalid solution.
x₂=(10+110)/2=60

x=60
2x-20=2(60)-20=120-20=100

Solution: the length is 100 m, and the width is 60 m.

To check:
Area=100 m*60 m=6000 m²
The twice of width is =2(60 m)=120 m,
20 m less than twice its width is: 120 m-20 m=100 m=the length.


8 0
3 years ago
-v + 5 + 6v = 1 + 5v + 3
Dima020 [189]

Answer:

v does not exist

Step-by-step explanation:

5v+5=4+5v

there is no v

5 0
3 years ago
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