Let us assume the number of children attending the movie = x
Let us also assume the number of adults attending the movie = y
Cost of admission for a children in the movie = $8
Cost of admission of an adult in the movie = $12
Number of people going to the movie on a certain day = 3200
Total amount collected from the movie theater = $33040
Then
x + y = 3200
And
8x + 12y = 33040
2x + 3y = 8260
Let us first take the equation
x + y = 3200
x = 3200 - y
Now we will put the value of x in the equation
2x + 3y = 8260
2(3200 - y) + 3y = 8260
6400 - 2y + 3y = 8260
y = 8260 - 6400
= 1860
Now we will put the value of y from the above deduction in the equation
x + y = 3200
x + 1860 = 3200
x = 3200 - 1860
= 1340
So the number of children going to the movie theater is 1340 and the number of adults going to the movie theater is 1860.
Answer:
She worked for 6 hours on Saturday.
Step-by-step explanation:
Number of hours worked by Danielle last week = 18.25 hours
She worked for three days, Monday, Wednesday and Saturday.
Let she worked on Saturday = x hours
Therefore, total hours worked by Danielle in three days = 6.5 + 5.75 + x
And the equation will be,
6.5 + 5.75 + x = 18.25
12.25 + x = 18.25
x = 18.25 - 12.25
x = 6
Therefore, she worked for 6 hours on Saturday.
Answer: 4x^2 -13x + 14
Step-by-step explanation:
(x^2 - 8x + 5)-(-3x^2 + 5x-9)
Subtract -3x^2 from x^2
(4x^2 - 8x + 5)-(5x-9)
Subtract 5x from -8x
(4x^2 -13x + 5)-(-9)
Subtract 9 from 5
4x^2 -13x + 14
1/12
There is 1 side of the die that has a ten on it and 12 sides in total. Therefore, there is a 1/12 chance of rolling a ten on this die.
