The change that Angie will receive from an $100 bill is $38.944.
<h3>How to calculate the value?</h3>
Angie went to the store and bought 3 pairs of tennis shoes that each cost $24. The total cost will be:
= 3 × $24 = $72
Sales tax was then calculated at 6%. This will be:
= 6% × $72
= $4.32
Total cost = Cost + Tax
= $72 + $4.32
= $76.32
Coupon off = 20% × $76.32 = $15.264
Total amount paid = Cost - Coupon
= $76.32 - $15.264
= $61.056
The change gotten will be:
= $100 - $61.056
= $38.944
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Apply to Row 2 : Row 2 + Row 1
2x + 2y + 3z = 0
y + 4z = -3
2x + 3y + 3z = 5
Apply to Row 3: Row 3 - Row 1
2x + 2y + 3z = 0
y + 4z = -3
y = 5
Apply to Row 3: Row 3 - Row 2
2x + 2y + 3z = 0
y + 4z = -3
-4z = 8
Simplify rows
2x + 2y + 3z = 0
y + 4z = -3
z = -2
<em>Note that the matrix is in echelon form now. The next steps are for back substitution.</em>
Apply to Row 2: Row 2 - 4 Row 3
2x + 2y + 3z = 0
y = 5
z = -2
Apply to Row 1: Row 1 - 3 Row 3
2x + 2y = 6
y = 5
z = -2
Apply to Row 1: Row 1 - 2 Row 2
2x = -4
y = 5
z = 2
Simplify the rows
<u>x = -2</u>
<u>y = 5</u>
<u>z = -2</u>
D. y=-3/10x+1/2
Step-by-step explanation:
Using rise/run you can count the units the line moves from one point to another, from the left point to the right point the line travels down 3 and over 10 so you get -3 as your rise (it is negative because the line is traveling downwards) and 10 as your run, so your slop is -3/10. By looking at the graph you can see that your y-intercept is 1/2. SO when plugged into y=mx+b with m as -3/10 and b as 1/2 you get the equation y=-3/10x+1/2, or letter D.
Answer:
61
Step-by-step explanation:
all angles that are in a triangle add up to 180
x+80+39=180
x+119=180
x=61
Hope that helps :)
Answer:
9.29 acres
Step-by-step explanation:
2 2/7 = 15/7
4 1/3 = 13/3
(15/7) * (13/3) = 195/21 = 9.29 acres
