A fence is made from 98 2-inch wide boards placed next to each other. How wide is the fence in yards? (1 yd = 36 inches)
1 answer:
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Answer:
The number of $100 bills was 27.
The number of $50 bills was 69.
The number of $20 bills was 189.
Step-by-step explanation:
Let x be the number of $20 bills, y the number of $50 bills, and z the number of $100 bills.
Since there are three unknown values, we need three equations to solve the problem, all of them can be extracted from the question itself, two as the ratios between different bills and the last one as the sum of the total value of the money :
Substituting the first equations into the last, it is possible to find the value for z:
Knowing that there were 27 $100 bills, we can go back to the first two equations to find x and y:
The number of $100 bills was 27.
The number of $50 bills was 69.
The number of $20 bills was 189.
The graph of the equation, 3x + 5y = 12, is the graph attached in the image below.
<h3>How to Graph a Linear Equation?</h3>The slope (m) and the y-intercept (b) of a linear equation can easily be determined by writing a linear equation in slope-intercept form, y = mx + b.
The slope of the line is the rise/run, while the y-intercept tells us at what point on the y-axis the line intercepts.
Rewrite 3x + 5y = 12, in slope-intercept form:
5y = - 3x + 12
y = -3/5x + 12/5
The slope of the line of the equation is -3/5 while the y-intercept is 12/5.
Therefore, the graph of the equation, 3x + 5y = 12, is the graph attached in the image below.
Learn more about the graph of a linear equation on:
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