Write and solve an equation for each situation. Be sure to define your variable.

Herman rents a bike for a set fee of $5 and a rate of $3 an hour. Jan rents a bike for $17. How many hours did she rent a bike for?

Jayson has 97 tickets to give away. He gave 4 tickets to each student in his class and has one leftover.
How many students in his class?

4 ; 24

Step-by-step explanation:

A.)

Fixed fee, x = $5

Hourly rate, y = $3

Total rent fee, t= $17

Number of rent hours :

$17 = $5 + $3y

17 - 5 = 3y

12 = 3y

y = 12/3

y = 4 hours

B.)

Total Number of tickets , t = 97

Tickets per student, r = 4

Tickets left = 1

Number of students in class:

(97 - 1) / 4

96 /4

= 24 students

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

3x + 4y -25 =0 represents the amount of change sianna should recieve