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WILL MARK BRAINLIEST Greg has only nickels and dimes in his money box. He knows that he has more than $10 in the box. Let x represent the number of nickels in the box and y represent the number of dimes in the box. Which of the following statements best describes the steps to graph the solution to the inequality in x and y? Draw a dashed line to represent the graph of 5x + 10y = 1000, and shade the portion below the line for positive values of x and y. Draw a dashed line to represent the graph of 5x + 10y = 1000, and shade the portion above the line for positive values of x and y. Draw a dashed line to represent the graph of 10x + 5y = 1000, and shade the portion above the line for positive values of x and y. Draw a dashed line to represent the graph of 10x + 5y = 1000, and shade the portion below the line for positive values of x and y.

WILL MARK BRAINLIEST Greg has only nickels and dimes in his money box. He knows that he has more than 10 in the box. Let x represent the number of nickels in th class=

Verified Answer :

Draw a dashed line to represent the graph of 5x + 10y = 1000, and shade the portion above the line for positive values of x and y

Answer:

Draw a dashed line to represent the graph of \(5x+10y= 1,000\), and shade the portion above the line for positive values of x and y

Step-by-step explanation:

Let

x------> the number of nickels in the box

y------->the number of dimes in the box

we know that

\(1\ nickel=\$0.05\)

\(1\ dime=\$0.10\)

so

\(0.05x+0.10y > 10\)

Multiply by \(100\) both sides

\(5x+10y > 1,000\) -----> inequality that represent the situation

The solution of the inequality is the shaded area above the dashed line for positive values of x and y

The equation of the dashed line is \(5x+10y= 1,000\)

therefore

the answer is

Draw a dashed line to represent the graph of \(5x+10y= 1,000\), and shade the portion above the line for positive values of x and y


see the attached figure to better understand the problem


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