Answer:
question 1 is 300
and question 2 is 24
Step-by-step explanation:
The equation which can be used to find the number of quarters and nickels is; n + q = 84, 0.05n + 0.25q = 17.80.
<h3>Quarters and nickels</h3>
- Total coins = 84
- Total value = $17.80
let
- Number of quarters = q
- Number of nickels = n
n + q = 84
0.05n + 0.25q = 17.80
From equation (1)
n = 84 - q
Substitute into (2)
0.05n + 0.25q = 17.80
0.05(84 - q) + 0.25q = 17.80
4.2 - 0.05q + 0.25q = 17.80
- 0.05q + 0.25q = 17.80 - 4.2
0.20q = 13.60
q = 13.60 / 0.20
q = 68
Substitute q = 68 into
n + q = 84
n + 68 = 84
n = 84 - 68
n = 16
Therefore, the number of quarters and nickels are 68 and 16 respectively.
Learn more about quarters and nickels:
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Answer:
Step-by-step explanation:
Choosing two points on the dotted line to find equation of line.
The points are:
and 
Slope of line can be calculated as:
Using point slope equation to find equation of dotted line.
where 
represents slope of line and 
represents y-intercept.
The y-intercept for the dotted line = 6 as it intersects the y-axis at (0,6)
So, the equation of line is:
The dotted line indicates that the line is not included in the solution.
The solution of the inequality is below the dotted line, so thus it would be less than the line.
So, the inequality would be:
Answer:
2 whole pieces
5/24 feet left
Step-by-step explanation:
divide 5/6 by 5/16 = 2 2/3 pieces
so there are 2 whole pieces and 2/3 small piece.
The 2/3 small short equals to 5/16 x 2/3 = 5/24 ft
