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Murljashka [212]
3 years ago
7

Sarah too advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 8

people took the trip. She was able to purchase coach tickets for $210 and first class tickets for $1100. She used her total budget for airfare for the trip, which was $7020. How many first class tickets did she buy?How many coach tickets did she buy?
Mathematics
1 answer:
FromTheMoon [43]3 years ago
5 0

Answer:

<em>y = 8</em>

Step-by-step explanation:

330x + 1220y = 12730    (cost of coach tickets plus cost of first class tickets is total budget)

x + y = 17    (number of coach tickets plus number of first class tickets is total number of people)

Solve the second equation for y to get y = 17 - x, then plug that into the first equation and solve for x:

330x + 1220(17 - x) = 12730

330x + 20740 - 1220x = 12730

-890x + 20740 = 12730

-890x = -8010

x = 9

Sarah bought x = 9 coach tickets. Plug that into the second equation and solve for y:

9 + y = 17

y = 8

Sarah bought y = 8 first class tickets.

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Explanation:

The two equations are H-13=184 and H-34=163

To determine why the two equations are equivalent, let us solve the equation.

Consider solving the equation H-13=184, we get,

Adding 13 on both sides, we get,

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Consider solving the equation H-34=163, we get,

Adding 37 on both sides, we get,

H=197

Thus, when solving both the equations, the value of H is equal.

Since, the value of H is equal, the equations H-13=184 and H-34=163 are equivalent equations.

The meaning of the solution:

A value of a variable which makes the equation true is called a solution.

Here the value of the variable H is 197. Let us substitute the value in the equations H-13=184 and H-34=163 to determine whether it makes the equation true.

Let us substitute H=197 in H-13=184, we get,

197-13=187

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Hence, H=197 is true solution.

Also, let us substitute H=197 in H-34=163, we get,

197-34=163

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3 years ago
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Answer:

t(h)= (h-200)/-4.9

The time to reach a height of 50 meters is 30.6 seconds

Step-by-step explanation:

To express t as a function of height (h) we must transform the equation below:

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(h-200)/-4.9=t

t(h)= (h-200)/-4.9

To find the time to reach a height of 50 meters, we must replace this value on the new equation:

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The time to reach a height of 50 meters is 30.6 seconds

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