Sammy buys a ticket to a concert. She pays $27.75 for each tickets plus a handling fee of $5.50 for the order. The total cost is $144.25. How many tickets, n, did Sammy buy?

5

Step-by-step explanation:

Form the equation 27.75n+5.50=144.25

Subtract 5.50 from 144.25.

144.25-5.50=138.75. Now you have 27.75n=138.75. Divide 138.75 by 27.75, 138.75/27.75=5. So n=5

Sammy bought 5 tickets.

To find this answer, first subtract 5.50 from 144.25, since that amount was for the overall order, and not each individual ticket. $144.25 - $5.50 = $138.75

Now, to find the number of tickets she bought, divide $138.75 by $27.75. $138.75 ÷ $27.75 = 5. Thus meaning she bought 5 tickets.

I hope this helps!

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).