Answer:
Step-by-step explanation:
From the given information.
suppose a multiple choice test consists of 5 questions, each with 4 possible answers of which 1 is correct.:
So, we can now suggest that a person can answer each question in 4 different ways given that there are 5 different questions.
Thus, the students can check off one answer to each question in 
= 4 × 34 × 4 × 4 × 4
= 1024 different ways.
From the 4 possible answers, since 1 will be correct, definitely 3 other answers will be incorrect.
Thus, the number of ways a student can check off one answer to each question and get all the answers wrong is = 3⁵
= 3 × 3 × 3 × 3 × 3
= 243 ways
Answer:
y = 5x – 22
3x + 2y = 34
Step-by-step explanation:
Answer:
The adult and the child ticket are both 8 dollars
Step-by-step explanation:
x =adult ticket price
y = child ticket price
I will assume you forget to put that they sold 2 child tickets on the second day
7x+5y=96 and 3x+2y= 40
I will use elimination. Multiply the first equation by 2 and the second equation by -5 to eliminate y
2(7x+5y)=96*2
14x + 10y = 192
The second equation
-5(3x+2y)= 40*-5
-15x -10y = -200
Add the equations together
14x + 10y = 192
-15x -10y = -200
------------------------
-x = -8
Multiply by -1
x = 8
Now we need to find y
3x+2y= 40
3(8) +2y = 40
24+2y = 40
Subtract 24 from each side
24-24 +2y = 40-24
2y = 16
Divide by 2
2y/2 =16/2
y =8
The adult and the child ticket are both 8 dollars
