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Stells [14]
3 years ago
13

In how many ways can Joseph, Michael, Chris, Katherine, Rebecca and Kyle stand in a line?

Mathematics
1 answer:
Andrews [41]3 years ago
6 0

Answer:

720

Step-by-step explanation:

I got it from Quora

We can use 6 people without repetition, which means we simply have to use counting principle 1.

A number of n objects can be arranged in n! ways.

Total number of combinations possibles = 6! =720

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To prepare for a bicycling event, you warm up each day at a moderate pace then you ride hard for a number of miles. one day you
vovangra [49]

Answer:

The total distance covered is 15.6 miles.

Step-by-step explanation:

One day you warm up for 15 minutes at a pace of 0.1 miles per 25 seconds.

The rule of three or is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them. If the relationship between the magnitudes is direct, like in this case, the direct rule of three can be applied as follow:

a ⇒ b

c ⇒ x

Then x=\frac{c*b}{a}

First, the simple rule of three can be applied in the following way: if 1 minute equals 60 seconds, 15 minutes equals how many seconds?

seconds=\frac{15 minutes*60 seconds}{1 minute}

seconds= 900

So now you can apply the following rule of three: if in 25 seconds you travel 0.1 miles, in 900 seconds how many miles do you travel?

distance=\frac{900 seconds*0.1 miles }{25 seconds}

distance= 3.6 miles

If you then ride hard for 12 miles, the total distance traveled will be the sum of both:

3.6 miles + 12 miles = 15.6 miles

<u><em>The total distance covered is 15.6 miles.</em></u>

6 0
2 years ago
Sari is factoring the polynomial 2x2+5x+3. If one factor is (x+1), what is the other factor?
ss7ja [257]

Answer:

B

Step-by-step explanation:

5 0
3 years ago
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Dennis stood on a 9 foot ladder to measure the sunflower. How much taller is the tallest sunflower than the ladder?
Shalnov [3]

Answer:

See Explanation

Step-by-step explanation:

Given

Ladder = 9ft

Tallest\ Sunflower = x

Required

How much taller is the tallest

To get this, we simply calculate the difference between the height of the tallest sunflower and the ladder.

i.e.

Difference  = Tallest\ Sunflower - Ladder

Difference  = x - 9

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If for instance, the tallest is 13ft, then it is 4ft taller.

Because:

Difference = 13ft - 9ft

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Answer:

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Step-by-step explanation:

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natka813 [3]

Answer: See attached picture

Step-by-step explanation:

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