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jekas [21]
3 years ago
14

There are 12 candidates running for any of 6 distinct positions in a school's student council. In how many different ways could

the 6 positions be filled?
Mathematics
1 answer:
deff fn [24]3 years ago
7 0

Answer:

Ways = 665280\ ways

Step-by-step explanation:

Given

Candidates = 12

Positions = 6

Required

Determine the number of ways to fill the vacant position

The first position can be any of the 12 candidates;

The next candidate can be any of the remaining 11

The next candidate can be any of the remaining 10

The next candidate can be any of the remaining 9

The next candidate can be any of the remaining 8

The next candidate can be any of the remaining 7

So: we have;

Ways= 12 * 11 * 10 * 9 * 8 * 7

Ways = 665280\ ways

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A golf ball is hit in not the air represented by the equation y= -3x^2+18x+45. The maximum height the ball will reach is____ fee
Temka [501]

Answer:

72 ft

Step-by-step explanation:

Here, we want to get the maximum height the ball will reach

the maximum height the ball will reach is equal to the y-coordinate of the vertex of the equation

So we need firstly, the vertex of the given quadratic equation

The vertex can be obtained by the use of plot of the graph

By doing this, we have it that the vertex is at the point (3,72)

Thus, we can conclude that the maximum height the ball can reach is 72 ft

3 0
3 years ago
Sam has 30 baseball cards. 12 of the cards are from League A. What is the ratio of League A cards to the total number of cards?
natulia [17]

Answer:

Not simplified: 12:30

Simplified: 1:5

Step-by-step explanation:

We have 12 League A cards and 30 total.

So, 12:30.

But we can divide by 6 and reduce it to its simplest form:

1:5

7 0
2 years ago
Consider the two expressions 4b(b+1) and (2b+7)(2b-8). Compare their values if b=-3, b=-2, and if b=10. Is it true that for an v
noname [10]

Answer:

If b=-3 then the first expression is equal to 24 and the second expression is equal to -14.

If b=-2 then the first expression is equal to 8 and the second expression is equal to -36.

If b=10 then the first expression is equal to 440 and the second expression is equal to 324.

Yes, it is true.

Step-by-step explanation:

b=-3:

4b(b+1)=4(-3)(-3+1)=-12(-2)=24

(2b+7)(2b-8)=(2(-3)+7)(2(-3)-8)=(-6+7)(-6-8)=1(-14)=-14

b=-2:

4b(b+1)=4(-2)(-2+1)=-8(-1)=8

(2b+7)(2b-8)=(2(-2)+7)(2(-2)-8)=(-4+7)(-4-8)=3(-12)=-36

b=10:

4b(b+1)=4(10)(10+1)=40(11)=440

(2b+7)(2b-8)=(2(10)+7)(2(10)-8)=(20+7)(20-8)=27(12)=324

8 0
3 years ago
Jerome is planning a fundraiser.
PilotLPTM [1.2K]

Answer:132

Step-by-step explanation: 1.25-.50=75 the profit of each apple is 75 cents

99 dollars divided by .75 is 132

8 0
3 years ago
Write a numerical expression that represents the quotient of 85 minus 7 and 19
disa [49]

Answer:

85-7-19 or 85-26

Step-by-step explanation:

4 0
3 years ago
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