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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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Water is added or drained from a tank each day. The first day, 910 of a gallon is added to the empty tank. The second day, 710 o
dimulka [17.4K]

Answer:

The quantity of water in the tank after 15 days is 1610.0 gallons OR 1.61 × 10³ gallons.

Step-by-step explanation:

The amount of water in the tank after 15 days is given by the series

910+(−710)+810+(−610)+⋯+310+(−110)+210

From the series, we can observe that, if water is added for a particular day then water will be drained the following day.

Also, for a day when water is to be added, the quantity to be added will be 100 gallon lesser than the quantity that was last added. Likewise, for a day when water is to be drained, the quantity to be drained will be 100 gallons lesser than the quantity that was last drained.

Hence, we can complete the series thus:

910+(−710)+810+(−610)+710(-510)+610(-410)+510(-310)+410(-210)+310+(−110)+210

To evaluate this, we  get

910-710+810-610+710-510+610-410+510-310+410-210+310-110+210

= 1610.0 gallons

Hence, the quantity of water in the tank after 15 days is 1610 gallons OR 1.61 × 10³ gallons.

8 0
3 years ago
Write an equation from for the amount of money that will be collected if boxes of chocolate bars are sold. Which is the independ
Georgia [21]
The equation would be:
m = 30b  where 'm' represents the amount of money and 'b' represents the number of boxes sold.

m is the dependent variable 
b is the independent variable
4 0
3 years ago
Segment XY bisects angle WXZ and angle mZXY = 37 degrees. Find angle mWXY and angle mZXW
Vadim26 [7]

we know that

The angle bisector, is the line or line segment that divides the angle into two equal parts.

So

in this problem

m∠ZXW=m∠WXY+m∠ZXY

m∠WXY=m∠ZXY

Part a) <u>Find the value of m∠WXY</u>

m∠ZXY=37°-----> given value

so

m∠WXY=m∠ZXY=37°

therefore

<u>the answer part a)</u>

The measure of angle WXY is equal to 37°

Part b) <u>Find the value of m∠ZXW</u>

m∠ZXW=m∠WXY+m∠ZXY

m∠ZXW=37°+37°=74°

therefore

<u>the answer part b) is</u>

the measure of angle ZXW is 74 degrees

8 0
3 years ago
Professor Williams wrote some statements on the board: 1. Newton observed an apple falling off a tree and speculated that all th
romanna [79]
I THINK ITS A THEORY HOPE THIS HELPS ;}
8 0
3 years ago
Read 2 more answers
Use the information to answer the following question.
svlad2 [7]
Since he starts with (10x+7) dollars and is buying two pairs of jeans that each cost (4x-5) dollars you should subtract the cost of the jeans from his starting amount.

(10x+7)-2(4x-5)=
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2x+17
8 0
2 years ago
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