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allsm [11]
3 years ago
12

50 - 3n = 7n + 80I need help on the steps on doing this problem??

Mathematics
1 answer:
polet [3.4K]3 years ago
6 0
50 - 3n = 7n + 80
    +3n     +3n ( add 3n to both sides)
50 = 10n + 80
-80            -80 (subtract 80 from both sides)
-30 = 10n (divide both sides by 10)
n = -3
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After triangle ACE is dilated by a factor of 6, it has an area of 180 square inches. What was its area before dilation?
Agata [3.3K]

Answer:

The area of triangle ACE before dilation is:  30 square inches

Step-by-step explanation:

We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.

  • If the scale factor > 1, the image is enlarged
  • If the scale factor is between 0 and 1, it gets shrunk
  • If the scale factor = 1, the object and the image are congruent

The length of the image can be determined by multiplying the length of the original point by a certain scale factor.

Given that after triangle ACE is dilated by a factor of 6, it has an area of 180 square inches.

Thus, it means the dilated area is 6 times the area before dilation.

Let x be the pre-dilation area

As the dilated area is 6 times the area before dilation, so

6x = 180

divide both sides by 6

6x/6 = 180/6

x = 30 square inches.

Therefore, the area of triangle ACE before dilation is:  30 square inches

4 0
3 years ago
Trains Two trains, Train A and Train B. weigh a total of 196 tons. Train A is heavier than Train B. The
aleksklad [387]

Answer:

Train A = 128

Train B = 68

Step-by-step explanation:

We can set up a system of equations for this problem

Let A = # of tons of Train A

Let B = # of tons of Train B

A + B = 196

A = B + 60

Now, we plug in A for the first equation, using substitution

(B+60) + B = 196

2B + 60 = 196

Subtract 60 from both sides

2B = 136

Divide both sides by 2

B = 68

Plug in 68 for B in the 2nd equation

A = 68 + 60

A = 128

Checking work: 128 + 68 = 196 :D hope this helped

5 0
2 years ago
Four consecutive odd integers sum to 304. Which integers are they?​
Pani-rosa [81]

Answer:

i would tell you but what are the options if you tell me that ill gladly help you out

Step-by-step explanation:

would it be 25.3 or just 25

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3 years ago
Divide (3x^3 + x2 – 4) by (x + 2).
OLga [1]

Answer:

(x+2)(3x^3-5x-10)

Step-by-step explanation:

If you don't know how to divide polynomials then I can help with that too or you can just search it up

6 0
2 years ago
What is the answer?<br> 12 x 4 1/2<br> =
mina [271]

Answer:

54

Step-by-step explanation:

4.5 ×12 and then you get the answer

8 0
3 years ago
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