We have been given in a cohort of 35 graduating students, there are three different prizes to be awarded. We are asked that in how many different ways could the prizes be awarded, if no student can receive more than one prize.
To solve this problem we will use permutations.
We know that formula for permutations is given as
On substituting the given values in the formula we get,
Therefore, there are 39270 ways in which prizes can be awarded.
The maximum area of a rectangle when given perimeter is simply perimeter/sides.
To get the maximum area, simply divide 160 (perimeter) by 4 (sides in a rectangle) and then square the result:
160/4 = 40
40 x 40 = 1600
The maximum area, when the sides are all of the same length, is <u><em>1600 square yards.
</em></u><em></em>Hope this helps!
<em>~ArchimedesEleven</em><u><em>
</em></u>
Answer:
Mia: 90 and Isabella: 30
Step-by-step explanation:
Mia: 60 x 0.5 (50%) is 30
Isabella: 60 x 1.5 (150%) is 90
Answer: After washing 20 cars together, each team will have raised the same amount in total.
Step-by-step explanation:
Let x represent the number of cars that each each teams will wash for them to raise the same amount in total.
The volleyball team gets $4 per car. In addition, they have already brought in $24 from past fundraisers. This means that the total amount raised by the volleyball team after washing x cars would be
4x + 24
The wrestling team has raised $84 in the past, and they are making $1 per car today. This means that the total amount raised by the wrestling team after washing x cars would be
x + 84
For both amounts to be equal, the number of cars would be
4x + 24 = x + 84
4x - x = 84 - 24
3x = 60
x = 60/3
x = 20
The computation shows that the value of the expression is 2.3.
<h3>How to illustrate the information?</h3>
It should be noted that the information given is illustrated as:
2.3(4.5-3 1/2)
This will be solved thus:
2.3(4.5-3 1/2)
2.3 ( 4.5 - 3.5)
= 2.3 (1)
= 2.3 × 1
= 2.3
Therefore, the value is 2.3
Learn more about computations on:
brainly.com/question/4658834
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