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Finger [1]
3 years ago
9

A rectangular soccer field is twice as long as it is wide. If the perimeter of of the soccer field is 300 yards, what are its di

mensions?
Mathematics
1 answer:
raketka [301]3 years ago
6 0
A) L = 2WB) 2L + 2W = 300
Multiplying A) by -2A) -2L = -4WThen adding it to B)B) 2L + 2W = 3002W = 300 -4W
6W = 300Width = 50Looking at equation A) we calculate
Length = 100

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Step-by-step explanation:

Let a be the price of 1 adult ticket.

Let c be the price of 1 child ticket.

given,

6a + 2c = 124

as equation 1,

and

3a + 5c = 100

as equation 2.

Now we will solve for a and c using elimination method of simultaneous equations.

Now we multiply equation 2 by 2 to eliminate a and solve for c.

3a \times 2 + 5c \times 2 = 100 \times 2 \\ 6a + 10c = 200

This new equation will be equation 3.

Now we will use equation 1 - equation 3 to eliminate a and solve for c.

(6a - 6a) + (2c - 10c) = 124 - 200 \\ 0 + ( - 8c) =  - 76 \\  - 8c =  - 76 \\ c =  - 76 \div  - 8 \\  = 9.5

Now substitute c into equation 2.

3a + 5(9.5) = 100 \\ 3a + 47.5 = 100 \\ 3a = 100 - 47.5 \\ 3a = 52.5 \\ a = 52.5 \div 3 \\  = 17.5

Therefore one adult ticket will cost $17.50 and one child ticket will cost $9.50.

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A car is traveling at 60 kilometers per hour. How many kilometers<br> does the car cover in 7 hours?
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Can someone please help?
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Answer:

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Step-by-step explanation:

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