A group of 41 teachers went to Disneyland. A regular ticket cost $113. The senior rate is $109. If the total admission price was $4561, how many teachers got the senior rate?

23 teachers got the senior rate

Step-by-step explanation:

Let x represent the number of teachers that got regular tickets.

Let y represent the number of teachers that got senior rate.

.A group of 41 teachers went to Disneyland. It means that

x + y = 41

A regular ticket cost $113. The senior rate is $109. If the total admission price was $4561, it means that

113x + 109y = 4561- -- - - - - - - - -:- -1

Substituting x = 41 - y into equation 1, it becomes

113(41 - y) + 109y = 4561.

4633 - 113y + 109y = 4561.

- 113y + 109y = 4561 - 4633

- 4x = - 72

x = - 72 / - 4

x = 18

y = 41 - y = 41 - 18

y = 23

cut 138 centimeters off

step-by-step explanation:

250-112 = 138

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.