The farmer’s market has a total of 98 tents. the ratio of food tents to retail tents is 9: 5. write a system of linear equations that represents this situation

The answer is  

Step-by-step explanation:

Given:

The farmer’s market has a total of 98 tents.

The ratio of food tents to retail tents is 9:5.

Now, to write the system of linear equations that represents this situation.

The total tents = 98 tents.

Let the food tents be

And the retail tents be

So, the total tents:

As, given the ratio 9:5.

Now, to write the system of linear equations:

Multiplying both sides by we get:

Therefore, the answer is  

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47

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step-by-step explanation: