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AfilCa [17]
3 years ago
12

Find the greatest common factor 24 and 20 24 and 20

Mathematics
1 answer:
Pavel [41]3 years ago
6 0
I believe the answer is 4
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Which statements about this system of equations are true? Check all that apply. - x + 6y = 16 8x - 6y = -2 The x-variable will b
frutty [35]

Answer:

The true statements are:

The y-variable will be eliminated when adding the system of equations

There is only one solution to the system of equations is

Step-by-step explanation:

* Lets explain how to solve the problem

- We use the elimination method to solve the system of the

  linear equation

- The solution is one of three cases

# Exactly one solution ⇒ the 2 lines which represented the equations

  intersect each other at one point

# No solution ⇒ the 2 lines which represented the equations are

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# Infinite solutions ⇒ the two lines are coincide

- In the system of the linear equations of the problem we have two

 linear equations  -x + 6y = 16 and 8x - 6y = -2

- To solve we must to eliminate one of the two variables

∵ The y's in the two equations have the same coefficients and

   different signs

∴ We add the equations to eliminate y

∴ (-x + 8x) + (6y - 6y) = 16 + -2

∴ 7x = 14 ⇒ divide both sides by 7

∴ x = 2

- Substitute the x in any one of the two equations by 2

∴ -2 + 6y = 16 ⇒ add 2 to both sides

∴ 6y = 18 ⇒ divide both sides by 6

∴ y = 3

∴ The solution of the system of the equations is (2 , 3) ⇒ only one

   solution

- Lets check the statements to find the true statements

# The x-variable will be eliminated when adding the system of

   equations is not true

# The y-variable will be eliminated when adding the system of

   equations is true

# The sum of the system of equations is - x + 6y is not true

# There is only one solution to the system of equations is true

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3 years ago
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A module house is made by sticking a triangular prism on top of a rectangular block, as shown in the diagram.
kotegsom [21]

Answer:

d

Step-by-step explanation:

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2 years ago
Pam and Jena, working together, can weed the garden in 9 hours. Working alone, Jena takes three times as long as Pam. How long d
Ghella [55]

Answer:

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Step-by-step explanation:

9 hours divided by 4 is 2 hours and 15 minutes

Then you can multiply 2 hours and 15 minutes by 3 to get 6 hours and 45 minutes which is Jena's time weeding the garden alone.

4 0
3 years ago
What are the coordinates of the point on the directed line segment from (-7,-9) to (-5,7) that partitions the segment into a rat
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9514 1404 393

Answer:

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Step-by-step explanation:

The first point is weighted by the length of the second segment, and vice versa.

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  P = (3(-7, -9) +(-5, 7))/4 = (-21-5, -27+7)/4 = (-6.5, -5)

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