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saveliy_v [14]
2 years ago
15

A video game system and several games are sold for $700. The cost of the games is three times as much as cost of the system. Fin

d cost of the system and cost of the games
Mathematics
1 answer:
soldier1979 [14.2K]2 years ago
6 0

Answer:

cost of system is $175 and cost of the games is $525

Step-by-step explanation:

Let us take the cost of the system to be X.The games cost 3 times as much as the system and are therefore given 3X. The total cost of the system and the games is $700.Therefore,we form the equation 3X+X=$700.Meaning that 4X=$700 and X is equal to $175.The cost of the system is X therefore it is $175 and the cost of the games is 3X and is therefore $525.

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To estimate the height of a house Katie stood a certain distance from the house and determined that the angle of elevation to th
Nata [24]

the height of the house is 408ft .

<u>Step-by-step explanation:</u>

Here we have , To estimate the height of a house Katie stood a certain distance from the house and determined that the angle of elevation to the top of the house was 32 degrees. Katie then moved 200 feet closer to the house along a level street and determined the angle of elevation was 42 degrees. We need to find  What is the height of the house . Let's find out:

Let  y is the unknown height of the house, and x is the unknown number of feet she is standing from the house.

Distance of house from point A( initial point ) = x ft

Distance of house from point B( when she traveled 200 ft towards street  = x-200 ft

Now , According to question these scenarios are of right angle triangle as

At point A

⇒ Tan32 =\frac{Perpendicular}{Base}= \frac{y}{x}

⇒ Tan32 = \frac{y}{x}

⇒ y=x(Tan32 )       ..................(1)

Also , At point B

⇒ Tan42 = \frac{y}{x-200}

⇒ y=(x-200)(Tan42)     ..............(2)

Equating both equations:

⇒ (x-200)(Tan42) = x(Tan32)

⇒ x(Tan42-Tan32)=Tan42(200)

⇒ x=\frac{Tan42(200)}{(Tan42-Tan32)}

⇒ x=653ft

Putting  x=653ft in  y=x(Tan32 )  we get:

⇒  y=x(Tan32 )    

⇒  y=653(Tan32 )

⇒  y=408ft

Therefore , the height of the house is 408ft .

4 0
2 years ago
2365 books were donated to an elementary school. if 5 classrooms shared the books equally, how many books did each class receive
Vadim26 [7]

Answer:

473 books to each class

Step-by-step explanation:

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4 0
2 years ago
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victus00 [196]

Answer:

3.14159265358979323846264338327950288419716... thats all i know, but i havent studied it in a while

8 0
3 years ago
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PLEASE HELP
faltersainse [42]

Answer: 5x+12.50=62.50

5*12.50=62.50

Step-by-step explanation:

6 0
2 years ago
9/15 is equal to what
Aleonysh [2.5K]

9/15 is equal to 3/5

9/3 = 3

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So your answer is 3/5.

Hope this Helps!!


3 0
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