Answer:
Step-by-step explanation:
area = length x breadth
length = 5 inches greater than width = 5+x
width = x
area = (5+x) x
104 = (5+x) x
104 = 5x + x²
x²+5x-104 =0
looking for two numbers that when you multiply gives 104, and adding it gives +5
the numbers is 13 and 8 (-13, +5)
x²+5x-13x-104 =0
x(x+5)-13(x+5) = 0
(x+5)(x-13)=0
x+5 =0 x-13 =0
x = -5, x=13
x= -5, 13
the width is either -5 or 13 inches
the length = (5+x) = (5+(-5)) = 5-5 =0
(5+x) = (5+13) = 5+13 = 18
lenth is 0 or 18 inches
Answer:
Profit P(x) = 53x-12 and On selling 20 video games profit will be 1048.
Step-by-step explanation:
In the given question functions are Revenue function : R(x) = 60x and Cost function : C(x) = 12+7x for the sale of x video games
As we know profit = sale price - cost price
Therefore P(x) = R(x) - C(x)
Or P(x) = (R-C)x = 60x - (12+7x)
P(x) = 60x -12 - 7x
P(x) = 53x -12
Now the profit on selling 20 video games will be
P(20) = 53×20 -12 = 1060 -12 = 1048.
Yes, she did, because the place of the digit (5) is in the hundredth place, indicating that she used 100 beads.
Answer:
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Step-by-step explanation:
Given : Cost of Popcorn = $4.25
Given : Cost of Soda = $2.25
Total Cost of Popcorn and Soda = $4.25 + $2.25 = $6.50
Given : Sales tax on Total Bill = 5%
We need to find 5% of $6.50, in order to have the amount of Sales tax
⇒ 5% of $6.50 = 
⇒ Total Bill = Cost of both Popcorn and Soda + Sales tax on the both
⇒ Total Bill = $6.50 + $0.325 = $6.825