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solong [7]
3 years ago
8

Question 3(multiple choice worth 4 points) (08.02)a pair of equations is shown below. x + y = 5 y = x + 2 if the two equations a

re graphed, at what point do the lines representing the two equations intersect? (2, 5) (5, 2) (2, 3) (3, 2)
Mathematics
1 answer:
gogolik [260]3 years ago
4 0
The system of linear equations here is   <span>x + y = 5 y = x + 2, better written as

</span><span>x + y = 5
y = x + 2

Let's solve this system using substitution.  Replace y in the first equaqtion with x+2:  x + (x+2) = 5.  Then 2x + 2 = 5, and it follows that 2x=3.  Solving this equation for x, we get x = 3/2.

Now substitute 3/2 for x in either of the given equations and solve the result for y:  (3/2) + y = 5, or y = 5 - 3/2, or y = (10-3) / 2 = 7/2.

For the given system  </span><span>x + y = 5 y = x + 2, or 
</span>
<span>x + y = 5
y = x + 2, 
</span><span>
the solution is (3/2, 7/2),

This does not match any of the answer choices.  I urge you to go back and ensure that you have copied down the system   </span><span>x + y = 5     /      y = x + 2  completely and accurately.
</span><span>

</span>
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Answer:

36 percent.

Step-by-step explanation:

We have been given that 11 percent of people of the peach have white towels, and 53 percent have blue towels.

With this information, we can find the remaining percentage of people that have red towels.

Recall that the total percentage is always 100 percent.

lets make r for the percentage of people that have red towels.

You can solve it by changing it to fraction, decimal, or just keep it at percent.

I will show you all of the possible ways.

Percent:

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combine the like terms, or add 11 plus 53 to simplify the equation.

You have 64 percent plus r =100 percent Our goal is to isolate r, so subtract both sides by 64 percent.

100-64 is 36 percent.

r=36 percent of people who have red towels.

With fractions.

Write it as 11/100 plus 53/100 plus r/100= 100/100.

Combine the fractions.

64/100 plus r/100=100/100.

Subtract both sides by 64/100.

You are left with r=36/100, 9/25, or 36 percent.

With decimals.

11 percent as a decimal is 0.11. Just move the decimal spot 2 times. In 11, since you can write it as 11.0, you move it to the right twice.

53 percent is 0.53.

r is r.

100 percent is 1.

0.11 plus 0.53 plus r=100

Combine or add 0.53 and 0.11. That is 0.64.

Subtract both sides by 0.64.

You get r to be 0.36 or 36 percent.

I hope this helps, and I hope you have a good day!

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