An average is just the total attendance numbers / the number of performances.
Let's let the number of people in the third show be equal to x so we can write this as a formula, it's easier to read. x is just "some number we don't know"
The average is
Average=Total attendance/3
So
3000=(2580+2920+x)/3
So let's multiply by that 3 on both sides, make x easier to find
Average*3=2580+2920+x ( * means multiplied)
The average is 3000
So
2580+2920+x=3000*3
2580+2920+x=9000
Then we subtract those other attendances to get x on its own.
x=9000-2580-2920
x=3500
Let m = the total number of medals.
To find the total number of medals we can use either of the clues they gave us.
If Tara's team received 8 medals and that was 1/3 of the medals. That must mean that:
m x 1/3 = 8
What number divided by 3 is 8? Well, that is 24. Thus, the total number of medals is 24.
Note: we can check to see if 1/2 of 24 is 12, the total number of medals Jennifer team received, and it checks out!
$81.40-$9.00=$72.40
$72.40/.4 (cents)= 181 minutes
Compound percentage reduction can be calculated by multiplying the initial number by (1-x)^t where x is the percentage reduction (/100, i.e. 1% reduction is 0.01), and t is the number of times it has reduced.
So:
a)
Where t is the number of weeks.
We can then just substitute in to work out the final pressure:
b) p = 45*0.94^6 =
31psi
9 is 18% of 50. So, 50 percent also written as 50% means 50 out of 100 parts. Since there are exactly two 50s in 100, fifty percent is the same number as one half. 50 percent=0.5 in but as a fraction, its 1/2.
