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Pavlova-9 [17]
3 years ago
9

What is the solution to 10(3x−5)=−20

Mathematics
1 answer:
MatroZZZ [7]3 years ago
4 0

Answer:

x = 1

Step-by-step explanation:

  1. Apply the distributive property. It should now look like this:                  30x - 50 = -20
  2. Add 50 to each side, so it now looks like this: 30x = 30
  3. Divide each side by 30 to cancel out the 30 next to x. It should now look like this: x = 1

I hope this helps!

You might be interested in
3x+112=5x+100 what is the answer I don't get it
slega [8]
Reorder the terms
112 + 3x = 100 + 5x
112 + 3x + (-5x) = 100 + 5x + (-5x)

Combine the like terms
5x + (-5x) = 0
112 + (-2x) = 100 + 0
112 + (-2x) = 100

112 + (-112) + (-2x) = 100 + (-112)
Combine like terms again
112 + (-112) =0
0 + (-2x) = 100 + (-112)
100 + (-112) = (-112) = (-12)
-2x = -12
-12 / -2 = 6
x = 6 <span>✓</span>

Check your work
3 * 6 + 112 = 130
5 * 6 + 110 = 130
130 = 130 ✓
3 0
3 years ago
Tickets to a concert cost $2 for children, $3 for teenagers and $5 for adults. When 570 people attended the concert, the total t
Ilia_Sergeevich [38]

Answer: 220

<u>Step-by-step explanation:</u>

Children (x): $2

Teens (y): $3, \frac{3}{4}x

Adults: (z): $5

Quantity: x + y + z = 570  ⇒  x + \frac{3}{4}x + z = 570  ⇒ 1.75x + z = 570  

Cost: 2x + 3y + 5z = 1950  ⇒  2x + 3(\frac{3}{4}x) + 5z = 1950  ⇒  2x + 2.25x + 5z = 1950  ⇒  4.25x + 5z = 1950

Qty:    1.75x +  z =  570  →  5(1.75x +  z =  570)  →    8.75x + 5z = 2850

Cost: 4.25x + 5z = 1950 → -1(4.25x + 5z = 1950 → <u> -4.25x - 5z</u> = <u>-1950 </u>

                                                                                  4.50x        =   900

                                                                                          x       =    200

Teens (y): \frac{3}{4}x

           y = \frac{3}{4}(200)

             = \frac{600}{4}

             = 150

Quantity: x + y + z = 570  

              200 + 150 + z = 570

                     350     + z = 570

                                    z = 220


6 0
3 years ago
What axis does the independent quantity go on?
Contact [7]
Horizontal
The Axes. The independent variable belongs on the x-axis (horizontal line) of the graph and the dependent variable belongs on the y-axis
5 0
3 years ago
A Board Is 3 yards and 1 foot long. How long will the board be if 56 inches are cut from one end?
TiliK225 [7]
The answer would be 64 inches or 5 feet 4 inches.
3 yards is equal to 108 inches and 1 foot is equal to 12 inches which equals 120 inches
120-56=64
5 0
3 years ago
Read 2 more answers
I can't figure out how to solve for x
Romashka [77]
The answer i got was x=2 :)

Step 1: Simplify both sides of the equation.
x−2 over 3−(x+3 over 5)=−1
Simplify: (Show steps)
2 over 15x+−19 over 15=−1
Step 2: Add 19/15 to both sides.
2 over 15x+−19 over 15+19 over 15=−1+19 over 15
2 over 15x=4 over 15
Step 3: Multiply both sides by 15/2.
(15 over 2)*(2 over 15x)=(15 over 2)*(4 over 15)
3 0
3 years ago
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