Here are some formulas...
percent increase = (new number - original number) / original number...* 100
percent decrease = (original number - new number) / original number...* 100
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a student raises her grade from a 75 to a 90....since it is going from a smaller number to a larger number, u have an increase
percent increase = (90 - 75) / 70....* 100
= 15/70 * 100
= 0.2142 * 100
= 21.42 rounds to 21.4% increase
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36.50 on sale for 32.12...since it goes from a larger number to a smaller number, u have a decrease
percent decrease = (original number - new number) / original * 100
= (36.50 - 32.12) / 32.12...* 100
= 4.38 / 32.12...* 100
= 0.1363...* 100
= 13.63 rounds to 13.6% decrease
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23.5 to 21.2......this is a decrease
percent decrease = (original number - new number) / original...* 100
= (23.5 - 21.2) / 23.5....* 100
= 2.3 / 23.5....* 100
= 0.0979 * 100
= 9.79 rounds to 9.8% decrease
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Answer:
3.7 hours
Step-by-step explanation:
Pat could do the job alone in 8 hours.
Patti could do the job alone in 7 hours
Output = Rate * time
Let the rate at which pat does the work = Rp
Let the rate at which Patti does the work = Rt
Let X be the total output
Rp * 8 = X
Rp = X/8
Rt * 7 = X
Rt = X/7
If both pat and Patti pick apples, we have
(Rp+Rt)T = X
(X/8 + X/7)T = X
[(7X + 8X)/56]T = X
[X(7+8)/56]T = X
Divide both sides by X
[(7+8)/56]T = 1
(15/56)T = 1
T = 56/15
T = 3.7 hours
Answer:
A
Step-by-step explanation:
Answer:
cost of one cupcake = $2.75
cost of one brownie = $1.25
Step-by-step explanation:
Let c = number of cupcakes
Let b = number of brownies
Equation 1: 5c + 2b = 16.25
Equation 2: 7c + 6b = 26.75
Multiply equation 1 by 3:
⇒ 15c + 6b = 48.75
Now subtract equation 2 from this equation to eliminate 6b:
⇒ 8c = 22
Divide both sides by 8:
⇒ c = 2.75
Substitute c = 2.75 into one of the original equations and solve for b:
⇒ 5(2.75) + 2b = 16.25
⇒ 13.75 + 2b = 16.25
⇒ 2b = 2.5
⇒ b = 1.25
Therefore, cost of one cupcake = $2.75 and cost of one brownie = $1.25