Answer:
The percentage that the coat was reduced is 25%.
Step-by-step explanation:
A percentage is always out of a factor of 100.
40 x 2.5 = 100
30 x 2.5 = 75
75/100 = 3/4
1/4 is missing, which is the percentage.
1/4 = 0.25, or 25%
Hope This Helps!
John will pay $8.68 for the combined cost of 1 pound of banana and 1 pound of cherries.
Let: b=cost of banana per pound and c=cost of cherries per pound
Equation 1: For 3 pounds of cherries and 2 pounds of bananas, John pays a total of $24.95.
3c + 2b =$24.95
Equation 2: The cost of bananas is $6.50 less than a pound of cherries.
b= c - $6.50
We can substitute the second equation into the first one to solve for the cost of cherries per pound.
3c + (2)(c-$6.50)= $24.95
3c + 2c -$13.00 = $24.95
5c = $24.95 + $13.00
c = $7.59
Substituting the value of c to the second equation to solve for b.
b= $7.59 - $6.50 = $1.09
The combined cost of 1 pound of banana and 1 pound of cherries is $1.09 + $7.59 or $8.68.
For more information regarding the system of equations, please refer to brainly.com/question/25976025.
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A = x * x = x^2
B = 6 * x = 6x
C = 8 * x = 8x
D = 6 * 8 = 48
So the area of the whole shape is each side added up then multiplied to give (x+6)(x+8) =
x^2 + 14x + 48
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Question 1
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a² + b² = c²
9² + 14² = c²
c² = 81 + 196
c² = 277
c= √277
c = 17cm (Rounded to the nearest whole number)
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Ans: The Slanted height is 17cm (Answer C)
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Question 2
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Lateral area of the cone = πrl
1080π = π(60)l
l = 1080π ÷60π
l = 18.0cm
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Ans: The slanted height is 18.0cm (Answer D)
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Answer:
When the ticket price is $3 or $4 the production will be in break even
Step-by-step explanation:
<u><em>The correct question is</em></u>
The revenue function for a production by a theatre group is R(t) = -50t^2 + 300t where t is the ticket price in dollars. The cost function for the production is C(t) = 600-50t. Determine the ticket price that will allow the production to break even
we know that
Break even is when the profit is equal to zero
That means
The cost is equal to the revenue
we have
Equate the cost and the revenue
solve for t
Solve the quadratic equation by graphing
using a graphing tool
the solution is t=3 and t=4
see the attached figure
therefore
When the ticket price is $3 or $4 the production will be in break even
