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3 years ago

1.50x+19.00=2.75x+15.00

2 answers:

7 0

X=3.2
SO from the beginning, you start with the original equation.
to combine like terms(x) you subtract 1.50x from both sides leaving you with 19.00=1.25x+15.00
then to start isolating the variable(x) you subract 15.00 from both sides leaving you with 4.00=1.25x
then with a simple division problem that leaves you with x=3.2
hope I helped!

Fiesta28 [93]3 years ago

6 0

X=3.2 I believe that's your answer

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Part a) The graph in the attached figure

Part b) see the explanation

Part c) see the explanation

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

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$x\geq 100$ ----> 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

The solution of the system of inequalities is the shaded area

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

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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

Verify

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

Inequality A

$300+100\geq 500$

$400\geq 500$ ----> 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

Verify

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

Inequality A

$500+200\geq 500$

$700\geq 500$ ----> is true

The ordered pair satisfy the inequality A

Inequality B

$500\geq 100$ ---> is true

The ordered pair satisfy the inequality B

therefore

The point (500,200) is a viable solution

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