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Alik [6]
2 years ago
12

Evan has x pennies and y nickels. He has no less than 20 coins worth no more than $0.75 combined. Solve thus system of inequalit

ies graphically and determine onr possible solution
Mathematics
1 answer:
Lana71 [14]2 years ago
5 0

Answer:

x = 12, y = 10

Step-by-step explanation:

Given that:

Number of pennies = x

Total amount in pennies = x cents

Number of nickels = y

Total amount in nickels = 5y cents

Number of coins are not less than 20.

i.e. the inequality can be written as:

x+y>20 .... (1)

Total money is not more than $0.75 i.e. 75 cents

The inequality can be written as:

x+5y ...... (2)

Also, the number of nickels and pennies must be in positive numbers.

Therefore,  

x > 0 ...... (3)\\y > 0 ....... (4)

When plotted in graph, we get the image as attached in the answer area.

Solution of the graph is the area which is common to both the lines.

And one solution between them is (12, 10)

i.e. number of pennies, x = 12

Number of nickels, y = 10

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3 years ago
D = 8a The variable a represents the number of attendees, and the variable d represents the cost in dollars. At most how many at
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Step-by-step explanation:

Given equation:<em> d = 8a</em> , where <em>a</em> represents the number of attendees, and the variable <em>d </em>represents the cost in dollars.

To find : the number of attendees, if Will budgets a total of $72 for his graduation picnic.

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∴ a= 9

Hence, at most 9  attendees can be there.

4 0
3 years ago
What is the solution to the system of equations? (You can either do the substitution or elimination method) x - 2y = 19 x + 3y =
masha68 [24]

Answer:

D. (17,-1)

Step-by-step explanation:

We'll start by canceling out x. To do so, multiple the first equation by -1

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Add the equations together:

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Plug in y = -1 into an equation:

→ x + 3(-1) = 14

→ x - 3 = 14

→ x = 17

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Hope this helps!

4 0
2 years ago
Find c<br> <img src="https://tex.z-dn.net/?f=a%2Ba%3D10%5C%5Ca%2Bb%3D35%5C%5Cb-z%3D5%5C%5Cz%2Ba%2Bb%2Bc%3D%2010" id="TexFormula1
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Advocard [28]

Answer:

Step-by-step explanation:

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No the result is not zero. So x - 1 is not a factor.

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The numbers that do make this zero are -0.5, 3, 5

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6 0
3 years ago
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