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Marina86 [1]
3 years ago
15

Solve for x: -4(3x − 2) = 6x + 2

Mathematics
2 answers:
loris [4]3 years ago
6 0

Answer:

x=\frac{1}{3}

Step-by-step explanation:

\text{We're given the following:}\\-4(3x-2)=6x+2\\\\\text{First, let's distribute the -4:}\\-12x+8=6x+2\\+12x\qquad+12x\\\\\text{That gives us:}\\8=18x+2\\-2\qquad-2\\6=18x\\\\\text{Now divide both sides by 18:}\\\frac{6}{18}=x\\\\\text{And simplify the fraction:}\\x=\frac{1}{3}

stepladder [879]3 years ago
4 0

Answer:

x = 1/3

Step-by-step explanation:

-4(3x − 2) = 6x + 2

Distribute

-12x +8 = 6x +2

Add 12x to each side

12x-12x+8 = 6x+2+12x

8 = 18x+2

Subtract 2 from each side

8-2 = 18x+2-2

6 = 18x

Divide each side by 18

6/18 = 18x/18

1/3 =x

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A punch recipe for 24 people uses 4 liters of Soda, 2 pints of sherbet, and 6 cups of Ice.
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Suppose two trains leave a certain​ station, at the same​ time, traveling in opposite directions. One train travels 1010 mph fas
sweet-ann [11.9K]

Answer: speed other the slower train is 46 mph.

speed other the faster train is 56 mph.

Step-by-step explanation:

Let x represent the speed of the slower train. One train travels 10 mph faster than the other. This means that the speed of the faster train is (x + 10) mph.

In 4.5 ​hours, the trains are 459 miles apart. This means that the total distance travelled by both trains in 4.5 hours is 459 miles.

Distance = speed × time

Distance travelled by the slower train in 4.5 hours is

4.5 × x = 4.5x

Distance travelled by the faster train in 4.5 hours is

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Since the total distance covered is 459 miles, therefore,

4.5x + 4.5x + 45 = 459

9x = 459 - 45 = 414

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x = 46 mph

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3 0
3 years ago
A glacier travels 10 kilometers in 20 years, what is its speed?​
Helga [31]

Answer:

1/2 a kilometer per year

Step-by-step explanation:

To find the speed you divide the distance traveled by the time it took to get to that distance

10/20=1/2

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have a great day :D

8 0
3 years ago
Becker catches a fish that's 3/12 of a yard long. to keep the fish, it has to be longer than 1/3 of a yard. can Becker his fish?
Ann [662]
No
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3 years ago
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