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Svetlanka [38]
2 years ago
6

You are the administrator of an annual essay contest scholarship fund. This year a $90,000 college scholarship is being divided

between the top two contestants so that the winner receives five times as much as the runner-up. How much will each contestant receive (in dollars)?
runner-up amount :

winner amount:
Mathematics
1 answer:
Vinil7 [7]2 years ago
3 0

Answer:

Runner-up: $15,000

Winner: $75,000

Step-by-step explanation:

Let's create an equation for this problem.

Let x=the amount the runner-up receives

Let 5x=the amount the winner receives

Then,

x+5x=90,000

6x=90,000

x=15,000

5x=75,000

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Pavlova-9 [17]
First we look for the area of the triangle which is given by:
 A = (1/2) * (4) * (6)
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 Area of the rectangles:
 Rectangle 1:
 R1 = (4) * (8)
 R1 = 32 feet ^ 2
 Rectangle 2:
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 R2 = 48 feet ^ 2
 Rectangle 3:
 R3 = (root (6 ^ 2 + 4 ^ 2)) * (8))
 R3 = 57,68882041 feet ^ 2
 The total area will be:
 A = 2A + R1 + R2 + R3
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The total area of the prism is:
 
A = 161.6888204 feet ^ 2
6 0
2 years ago
Will give brainliest! Please explain how I solve the ratio 16/32=12/24
goldenfox [79]

To solve, simply simplify each fraction

(16/32)/(16/16) = 1/2

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True, the equation given to us is true.

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8 0
3 years ago
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Jason can make 7 origami cranes in 10 minutes. How many minutes will it take to make 1505 origami cranes
Angelina_Jolie [31]

Answer:

The unit rate = 7/10 cranes per minute

Step-by-step explanation:

So, the number of minutes would it would take Kenny to fold 1505 cranes is  

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8 0
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puteri [66]
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Find the distance between (-6, -12) and (4,8) using the distance formula.
Romashka [77]

Answer:

The distance formula is 22.360679775

if you round it to the nearest tenth, then the answer is 22.4

Step-by-step explanation:

(-6, -12) and (4,8)

<u>(x2 - x1)² + (y2 - y1)²</u>

Place the x and y values

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Round it to the nearest tenth, and you will get 22.4

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