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worty [1.4K]
3 years ago
7

152.5 is what percent of 61

Mathematics
2 answers:
Anna71 [15]3 years ago
5 0
<span>152.5 is 250% of 61

Hope this helps! (tried to do an explanation and my browser crashed...) </span>
allsm [11]3 years ago
3 0
1.) Convert 61% into a fraction:
61%=61%/100%=0.61
61%=0.61
2.) We multiply 0.61 by 152.5:
0.61*152.5=93.025
Solution: 61% of 152.5 is 93.025
         
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3 years ago
The pep club and honor society are joining forces to raise money for school improvements.
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Part a) The graph in the attached figure

Part b) see the explanation

Part c) see the explanation

Step-by-step explanation:

Let

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y ---> represent donations raised by the honor society

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x+y\geq 500 ----> inequality A

The solution of the inequality A is the shaded area above the solid line x+y=500

x\geq 100 ----> inequality B

The solution of the inequality B is the shaded area at right of the solid line x=100

Part a) Graph the system of inequalities

using a graphing tool

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Remember that the variables x and y cannot be a negative number

see the attached figure

Part b) What does the point (300,100) represent? Is it a viable solution?

The point (300,100) means that the donations raised for pep club  was $300 and the donations raised by the honor society was $100

The point  (300,100) is not a viable solution, because the point not belong to the shaded area of the solution of the system of inequalities

<u><em>Verify</em></u>

If the ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequality  

For x=300, y=100  

<em>Inequality A</em>

300+100\geq 500      

400\geq 500  ----> is not true

The ordered pair not satisfy the inequality A

therefore

The point (300,100) is not a viable solution  

Part c) What does the point (500,200) represent? Is it a viable solution?

The point (500,200) means that the donations raised for pep club  was $500 and the donations raised by the honor society was $200

The point  (500,200) is a viable solution, because the point belong to the shaded area of the solution of the system of inequalities

<u><em>Verify</em></u>

If the ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequality  

For x=500, y=200  

<em>Inequality A</em>

500+200\geq 500      

700\geq 500  ----> is true

The ordered pair satisfy the inequality A

<em>Inequality B</em>

500\geq 100 ---> is true

The ordered pair satisfy the inequality B

therefore

The point (500,200) is a viable solution  

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