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pishuonlain [190]
3 years ago
13

The larger of two numbers is 15 more than the smaller number. Five times the larger number is 40 more than twelve times the smal

ler number. Find the numbers.
Mathematics
1 answer:
Vlad [161]3 years ago
3 0

Answer:

10, 20

Step-by-step explanation:

x = larger number

y = smaller number

...

x = 10+y

5x=40+6y

...

Substitution of x into the second equation

5(10+y)=40+6y

50 + 5y = 40 + 6y

...

Isolate y

5y - 6y = 40 - 50

-y = -10

Divide both sides by -1

y=10 is the smaller number

...

Rearrange x = 10+y to y = x-10

Substitute into 5x=40+6y

5x = 40 + 6(x-10)

5x = 40 + 6x - 60

...

Isolate x

5x - 6x = 40 - 60

-x = -20

Divide both sides by -1

X=20 is the larger number

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Answer:

8

Step-by-step explanation:

the ratio or fraction for this problem would be 1 (gold coin) : 25 (points)

If we want to find out how many gold coins he needs to get 200 points we need to divide 200 by 25.

200/25 : 8

if we want to check our answer do this

1:25

1 x 8 is 8

25 x 8 is 200

Soo... Collin needs to find 8 coins to win 200 points.        

hope i helped

7 0
3 years ago
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Illusion [34]
X=-39/5 and y=10 :) i hope this helps you out !
5 0
3 years ago
PLEASE HELP WILL MARK THE BRAINLIEST
goldfiish [28.3K]

Answer:

12

Step-by-step explanation:

26+(-2)=24

24/2=12

8 0
2 years ago
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PLEASE HELP !!!!!!!!Solve the system of equations using the linear combination method.
vfiekz [6]

Answer:

The solution would be (5, -2)

Step-by-step explanation:

To use this method, start by multiplying the second equation by -1. Then add the two equations together.

9x + 5y = 35

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------------------

7x = 35

x = 5

Now that we have the value of x, use it to solve either equation for y.

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10 + 5y = 0

5y = -10

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6 0
3 years ago
The perimeter of a trapezoid is 39a – 7. Three sides have the following lengths: 9a, 5a + 1, and 17a – 6. What is the length of
Airida [17]
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If we move everything but the 4th side over to the left we can solve 
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3 years ago
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