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iogann1982 [59]
2 years ago
10

Can you help me on 2,3and 4

Mathematics
1 answer:
Ludmilka [50]2 years ago
8 0

1.n represents the number of tickets she bought.

2.27.75n represents the total cost of n tickets

3.Without the handling fee Olga paid 138.75

4.To get 27.75n by itself on one side of the equation you can move 5.5 from the left to right of the equation

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

n is the total number of tickets Olga bought.

27.75n represents the total cost of n tickets.It is given in the question that one ticket costs $27.75 and thus n number of tickets will cost $27.75 n.

The handling fee is 5.5

27.75n+5.5=144.25

27.75n=144.25-5.5=138.75

without the handling fee Olga will pay $138.75

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Let's put more details in the figure to better understand the problem:

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For x, we will be using the Cosine Function:

\text{ Cosine }\theta\text{ = }\frac{\text{ Adjacent Side}}{\text{ Hypotenuse}}Cosine(45^{\circ})\text{ = }\frac{\text{ x}}{\text{ 1}6}(16)Cosine(45^{\circ})\text{ =  x}(16)(\frac{1}{\sqrt[]{2}})\text{ = x}\text{ }\frac{16}{\sqrt[]{2}}\text{ x }\frac{\sqrt[]{2}}{\sqrt[]{2}}\text{ = }\frac{16\sqrt[]{2}}{2}\text{ 8}\sqrt[]{2}\text{ = x}

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For y, we will be using the Sine Function.

\text{  Sine }\theta\text{ = }\frac{\text{ Opposite Side}}{\text{ Hypotenuse}}\text{ Sine }(45^{\circ})\text{ = }\frac{\text{ y}}{\text{ 1}6}\text{ (16)Sine }(45^{\circ})\text{ =  y}\text{ (16)(}\frac{1}{\sqrt[]{2}})\text{ = y}\text{ }\frac{16}{\sqrt[]{2}}\text{ x }\frac{\sqrt[]{2}}{\sqrt[]{2}}\text{ = }\frac{16\sqrt[]{2}}{2}\text{ 8}\sqrt[]{2}\text{ = y}

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Step-by-step explanation:

The required sum 

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