Answer:
(-3, 3)
Step-by-step explanation:
Substitute for y:
x+6 = -2x -3
3x = -9 . . . . . . . add 2x -6 to both sides
x = -3 . . . . . . . . divide by 3
y = (-3) +6 = 3 . . substitute for x in the first equation
The solution is ...
(x, y) = (-3, 3)
Answer:
Step-by-step explanation:
Number of boys = g - 7.
g - 7 + g = 23
2g = 30
g = 15.
The are 15 girls in the class.
Answer: C
Step-by-step explanation:
We know the scale factor is 6/2=3.
A) False. The ratio of the side lengths, not the areas, is 1 to 3.
B) False. Rectangle B is larger than Rectangle A.
C) The square of the ratio of the side lengths is the ratio of the areas.
D) False. The ratio of the side lengths, not the areas, is 1 to 3.
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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