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ElenaW [278]
2 years ago
11

Match the equation with its graph 15x -12y=60

Mathematics
1 answer:
IgorLugansk [536]2 years ago
6 0

Answer:

Check the attached graph for correct match.

Step-by-step explanation:

Graph of the given choices are not given but we can still solve this problem.

Given equation is  15x-12y=60.

Which is linear equation so we need at least two points to get the graph.

We are free to select any random number of x then plug that into given equation to find other variable.

Let's use x=0

15x-12y=60

15*0-12y=60

0-12y=60

-12y=60

divide both sides by -12

y=-5

Hence point is (0,-5)

Similarly plug y=0

15x-12y=60

15x-12*0=60

15x-0=60

15x=60

divide both sides by 15

x=4

Hence point is (4,0)

Now graph both points then join them by a straight line.

Any graph given in the choices which match with attached graph will be the answer.

Check the attached graph for correct match.

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Laura is planning a party for her son. She has $50 dollars remaining in her budget and wants to provide one party favor per pers
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Answer:

The system of inequalities that represents this situation is:

x+y≥10

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Step-by-step explanation:

As the statement says that Laura wants to provide one party favor per person to at least 10 guests, the first inequality would indicate that the number of stuffed animals plus the number of toy trucks should be equal or greater than 10:

x+y≥10

Also, the statement indicates that miniature stuffed animals cost $6.00 each and the toy trucks cost $4.00 each and that Laura has $50. From this, you would have an inequality that indicates that 6 for the number of miniature stuffed animals and 4 for the number of toy trucks would be equal or less than 50:

6x+4y≤50

The answer is that the system of inequalities that represents this situation is:

x+y≥10

6x+4y≤50

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