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.
Answer:
18
Step-by-step explanation:
Alright so here you have to work backwards. the volume of a cylinder is pi*r^2*h.
Your equation: 486 pi = pi*r^2*6
You know the height is 6 feet, so you can get rid of the 6 feet hanging off of your equation by dividing both sides by 6:
81 pi = pi*r^2
Now you notice that both sides have pi. You can eliminate it by dividing both sides by pi:
81 = r^2
To isolate the r, radius, you have to take the square root of both sides, since a square root is the inverse operation of squaring. You get:
9 = r
Now that you have the radius, you can find the diameter by multiplying the radius by 2, because a diameter = 2 * the radius:
18 = d
Hope this helps!
Treat (a, 9) as an x and y value
Set the equation equal to 9
9= 2x+1
8= 2x subtract one
4= x divide by 2
a must be equal to four
The probability is just 1/2 that the disc will result with the white side landing up.
There are two sides to the disc. If they are equally likely to happen, then the chance of either side is 1/2. It does not matter which number the flip is.
3-2x<7
Subtract 3 from both sides.
-2x<4
Divide -2 from both sides. (switch the sign because you are dividing a negative number)
x>-2
