Variable on both sides
1 answer:
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<u>ANSWER:</u>
The price of senior citizen ticket is $4 and price of child ticket is $7.
<u>SOLUTION: </u>
Given, first day of sales the school sold 3 senior citizen tickets and 9 child tickets for a total of $75.
The school took in $67 on the second day by selling 8 senior citizen tickets and 5 child tickets.
We need to find what is the price each of one senior citizen tickets and one child tickets.
Let, the price of senior citizen ticket be "x" and price of child ticket be "y"
Then according to the given information,
3x + 9y = 75
x + 3y = 25 [by cancelling the common term 3.
x = 25 – 3y ---- (1)
And, 8x + 5y = 67 ---- (2)
Substitute (1) in (2)
8(25 – 3y) + 5y = 67
200 – 24y + 5y = 67
5y – 24y = 67 – 200
-19y = -133
y =
y = 7
Now substitute y value in (1)
x = 25 – 3(7)
x = 25 – 21 = 4
Hence, the price of senior citizen ticket is $4 and price of child ticket is $7.
Answer:
Option C -M'K' is the same length as MK
Step-by-step explanation:
Given : Line segment MK has endpoints at (2, 3) and (5,4)
M'K' is the reflection of MK over the y-axis
By definition of reflection: reflection of point (x,y) across the the y-axis is the point (-x,y)
which implies M'K' has end points (-2,3) and (-5,4)
Now, we find the length of MK
let
⇒
⇒
⇒ ....(1)
Now, we find the length of M'K'
let
⇒
⇒
⇒ .....(2)
from (1) and (2) we simply show that the length of MK and M'K' is equal
we can also refer the figure attached for reflection of MK and M'K'
therefore, Option C is correct
