How and why does this equation -8-x=-3x equal x=4

Answers

Answer 1
Answer: because -8-(4)= -12, and -3(4) = -12
Answer 2
Answer:
- 8 - x =  - 3x \n  - 8 =  - 3x + x \n  - 8 =  - 2x \n x =  - ( - 8)/( - 2)  = 4
First, we add x to both sides and simplify. Then, we divide both sides by -2

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Write the standard form of the line that passes through the point (-2,4) and is parallel to x-2y=6

Answers

Answer:

x - 2y + 10 = 0

Step-by-step explanation:

The equation of parallel line differ only by their constant.

Hence, the equation of the line parallel to x - 2y - 6 = 0 is nothing but  x - 2y + c = 0.

When a point passing through this line is given we can substitute the point in this line and get the value for c.

The line passes through (-2, 4).

Therefore, we have: -2 - 8 + c = 0 \implies c = 10

Substituting this we get the equation of the parallel line as x - 2y + 10 = 0.

Can someone solve these for me
1. 4x + 2 = -10

2. 7x + 12 = -9

Answers

Answer:

1. x = -3

2. x = -3

Step-by-step explanation:

1.

First subtract 2.

4x = -12

Divide by 4.

x = -3

2.

Subtract 12 from both sides.

7x = -21

Divide by 7

x = -3

Answer:

1. -3

2. -3

Step-by-step explanation:

How do you triple rhe surface area of a cone

Answers

Increase the height so that the slant height triples.

For example:
  Say that lateral height is 2 and the radius is 1. The lateral surface area would be 6.28

 if I make the lateral height 6, which is triple the original lateral height, the lateral surface area becomes 18.84, which is triple the original surface area

Hope I help :P

Given that a car can drive 25 miles per gallon of gas how far can a car drive with 8 gallons

Answers

Answer:

200 miles

Step-by-step explanation:

25 miles per gallon

There are 8 gallons

25 × 8 = 200

Answer:

200 miles

Step-by-step explanation:

25×4=100

100×2=200

One evening, 2/3 of Mrs. Thorne's, students watched a reality television show. Mrs. Lombardo's students, 4/5 watched the same reality show. Which teacher had more students that watched the reality show? Explain

Answers

Mrs.Lombardo.if you do the math out, 4/5 and 2/3 give you an LCD (Least Common Denominator) of 15, so this means 4/5 = 12/15, and 2/3 = 10/15. 4/5 is greater than 2/3. 

Find the unit rate and use it to write an equation relating the two quantities f-$150 for 50 T-shirts
-$62 to rent 14 video games
-18 tablespoons of sugar in 3 glasses of Coca Cola.

Plz help !!!!! I'm desperate! My teachers won't help and I'm failing math! Plz help?

Answers

To find the unit rate for the T-shirts: you divide the $150 by the number of T-shirts. 150/50 = 3 50/50 = 1 Therefore, one T-shirt = $3 Do the same with the rest: $3/shirt $4.43/video game 6 tablespoons of sugar/glass of cocoa cola Hope that helps! P.S. I don't know what you mean when you say to write an equation but hopefully you can still figure it out!