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UkoKoshka [18]
2 years ago
15

let x represent one number and let y represent the other number. use the given conditions to write a system of equations. solve

the system and find the numbers. three times a first number decreased by a second number is 22. the first number increased by twice the second number is 12.
Mathematics
1 answer:
kiruha [24]2 years ago
7 0

9514 1404 393

Answer:

  (x, y) = (8, 2)

Step-by-step explanation:

The relevant equations are ...

  3x -y = 22

  x +2y = 12

__

We can eliminate y by adding twice the first equation to the second.

  2(3x -y) +(x +2y) = 2(22) +(12)

  7x = 56

  x = 8

Substituting into the first equation gives ...

  3(8) -y = 22

  y = 24 -22 = 2

The first number is 8; the second number is 2.

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Can someone help me answer this question ( moderators this is not a copy, the other ones got erased so go away)
Rainbow [258]
Triangles ABC and ADE are similar triangles. That means the sides are all scaled by the same factor.

To go from side BC to side DE, you multiply by 1.25. That means 1.25 is your scale factor. Now apply that factor to the bottom side to get your answer.

Side AB is 6. That means side AD is 6 x 1.25 = 7.5. That means x = 7.5 - 6 = 1.5
6 0
2 years ago
Consider a function of the form f(x) = 7x^2 + ax, where a is a real number. What is the difference quotient of f(x) for all nonz
mihalych1998 [28]

Answer:

c

Step-by-step explanation:

6 0
2 years ago
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If a rectangles width is twice as long as its length. If the perimeter is 36in find its length.
Dmitriy789 [7]
Answer of what is the length is 12. if we add all the sides it has to come as 36,so if length=x then width=2x therefore X+X+2X+2X=36 therefore x=6 then width=2x =12.
4 0
3 years ago
The town of Madison has a population of 25000 The population is increasing by a factor of 1.12 each year.
Fudgin [204]

Answer:

P(t) = 25,000*1.12^t

Step-by-step explanation:

The populational growth is exponential with a factor of 1.12 each year. An exponential function has the following general equation:

y(x) = ab^x

Where 'a' is the initial population (25,000 people), 'b' is the growth factor (1.12 per year), 'x' is the time elapsed, in years, and 'y(x)' is the population after 'x' years.

Therefore, the function P(t) that models the population in Madison t years from now is:

P(t) = 25,000*1.12^t

8 0
3 years ago
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Please help thanks so much.
Alik [6]
You can see if they are similar by looking at the sides.

If each of the sides have the same proportion then they are similar.

24/3 = 8
32/4 = 8
112/14 = 8

Yes they are similar and their ratio is 1:8

Hope this helps :)
3 0
3 years ago
Read 2 more answers
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