Answer:
7 children were in the group
Step-by-step explanation:
Let the number of children's tickets = x
Let the number of adult's tickets = y
we are given the following information:
x + y = 35 - - - - - (1) (ticket sales for a group of 35 people)
8(x) + 8.75(y) = 259 - - - - - (2) (totaled $259)
the number of each ticket sold is calculated as follows:
x + y = 35 - - - - - (1)
x = 35 - y - - - - - (3)
putting the value of x in equation (3) to replace x in equation (2):
8(x) + 8.75(y) = 259 - - - - - (2)
8(35 - y) + 8.75(y) = 259
280 - 8y + 8.75y = 259
280 - 0.75y = 259
280 - 259 = 0.75y
21 = 0.75y
∴ y = 21 ÷ 0.75 = 28
∴ y = 28
putting this value of y into equation 3:
x = 35 - y - - - - - (3)
x = 35 - 28 = 7
Therefore, 7 children's and 28 adult's tickets were sold, hence 7 children were in the group.
The father will end up paying 1050 dollars since 10% of 1000 is 100.
However Jackson will be paying 1150 dollars. So, Jackson will be paying 100 dollars more than his father.
7/8 -1/4
= 7/8 -2/8
= 5/8
The final answer is 5/8~
Answer:
Position of the particle is 20.
Step-by-step explanation:
Position function is integration of velocity function.
Velocity function is integration of acceleration function.
So, let's integrate the given a(t) to get v(t)
If we integrate v(t) then we get s(t)
It is given the values of s(0) =0 and s(1)=20
So, position of the particle is difference of 20, 0. That's 20-0 =20.
