All categories

3 years ago

Which value of x makes the following equation true? 6(x - 1) = -2x + 50

Mathematics

1 answer:

lakkis [162]3 years ago

7 0

Answer:

x=7

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

6(x−1)=−2x+50

(6)(x)+(6)(−1)=−2x+50(Distribute)

6x+−6=−2x+50

6x−6=−2x+50

Step 2: Add 2x to both sides.

6x−6+2x=−2x+50+2x

8x−6=50

Step 3: Add 6 to both sides.

8x−6+6=50+6

8x=56

Step 4: Divide both sides by 8.

8x /8 = 56 /8

x=7

You might be interested in

Sofia is a helper for the kindergarten class and is in charge of picking a video for their end-of-year party. To choose which ty

Pavel [41]

Answer:

B,C

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Find the coordinates of the missing endpoint if P is the midpoint of Line Segment NQ.

dimaraw [331]

Midpoint formula is $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$ .

So starting with this one, we will be solving for the coordinates of the unknown endpoint separately. Starting with the x-coordinate, since we know that the midpoint x-coordinate is 5 and the x-coordinate of N is 2, our equation is set up as such: $\frac{x+2}{2}=5$ From here we can solve for the x-coordinate of Q.

Firstly, multiply both sides by 2: $x+2=10$

Next, subtract both sides by 2 and your x-coordinate is $x=8$

With finding the y-coordinate, it's a similar process as with the x-coordinate except that we are using the y-coordinates of the midpoint and endpoint N.

$\frac{y+0}{2}=2\\ y=4$

<u>Putting it together, the missing endpoint is (8,4).</u>

<em>(The process is pretty much the same with the other problems, so I'll go through them real quickly.)</em>

$\frac{x+5}{2}=6\\ x+5=12\\ x=7$

$\frac{y+4}{2}=3\\ y+4=6\\ y=2$

<u>The missing endpoint is (7,2).</u>

$\frac{x+3}{2}=-1\\ x+3=-2\\ x=-5$

$\frac{y+9}{2}=5\\ y+9=10\\y=1$

<u>The missing endpoint is (-5,1).</u>

8 0

3 years ago

-2(3x-4)=4(5x-11) Solve for x

sveta [45]

-2(3x-4)=4(5x-11)

-6x+8=20x-44

8+44=26x

26x=52

x=52/26

your answer will be x=2

6 0

3 years ago

Read 2 more answers

Estimate the sum of the decimal below by rounding to the nearest whole number.

Marizza181 [45]

The non-rounded sum is 15.579, so you’d round up to 16 since 5 and up rounds up. Hope this helps<3

4 0

2 years ago

Richard bought a pair of shoes for $37.00, a tie for $22.00, and a new belt for $17.00. If the sales tax is 7.5%, how much sales

nadezda [96]

It seems to me, that if you were to add the price of all three items together, then multiply by 7.5%, you'd have the answer. Remember that 7.5% = .075 ... in other words, that is the number you would multiply the sum of the items by. Does that help?

8 0

2 years ago