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2 years ago

How many ways are there for 15 track runners to win 1st place, 2nd place and 3rd place?

Mathematics

1 answer:

Mkey [24]2 years ago

6 0

Answer:

2730 ways.

Step-by-step explanation:

There are 3 positions to be filled by the 15 runners.

For 1st place, we can fill this position in 15 ways.

After filling 1st place remaining runners = 14

Number 2 place can be filled by remaining 14 runners.

So, the 2nd place can be filled by 14 ways.

Again, after filling 2nd place remaining runners are 13.

Therefore, 3rd place can be filled by 13 ways.

Total number of ways to fill all three places = 15 × 14 × 13

= 2730 ways

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How do you ungroup a 3 digit number? My nephew is working on his homework and I have no clue how to help him.

Talja [164]

In monetary terms, you're making change. If you need more ones, you trade one 10 for 10 ones.

When I was in school, many years ago, we used small superscript-type numbers to show this:

7 3 0 ⇒ 7 2 ¹0 . . . . regrouping to gain 10 ones

7 2 ¹0 ⇒ 6 ¹2 ¹0 . . .regrouping again to gain 10 more tens

You'd have to look at the example problems that precede this page in order to see what the meaning of "magnifying glass" is.

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3 years ago

Addison worked 11 more hours this week than last week. In total, she worked 65 hours this week and last week. Using the equation

Anestetic [448]

Answer:

27 hours

Step-by-step explanation:

Just do the reverse. 65-11 = 54. 54 / 2 = 27.

5 0

2 years ago

In ΔMNO, the measure of ∠O=90°, the measure of ∠M=64°, and NO = 70 feet. Find the length of MN to the nearest tenth of a foot.

olga_2 [115]

Answer:

in triangle MNO

relationship between perpendicular and hypotenuse is given by sin angle

sin64°=p/h=70/x

x=70/sin64°=77.88foot

length of MN to the nearest tenth of a foot.

=78ft

6 0

2 years ago

Give me one example of an item where you would need to find the area of a square. Also, Give me one example of an item where you

monitta

An example of an item where you would need to find the area of a square is a square table.

An example of an item where you would need to find the area of a rectangle is a phone that has a rectangular shape.

<h3>How to calculate the area?</h3>

It's important to note that the area of a square is the multiplication of its sides by itself. For example, if the side is 4cm, the area will be:

= 4²

= 4 × 4.

= 16cm²

The area of a rectangle will be:

= Length × Width

Assuming length and width are 5cm and 2cm. This will be:

= 5 × 2

= 10cm²

Learn more about area on:

brainly.com/question/25292087

#SPJ1

6 0

8 months ago

Solving systems of Equations Word Problems - CLASSWORK

dem82 [27]

Answer:

Part A) For the number of hours less than 5 hours it make more sense to rent a scooter from Rosie's

Part B) For the number of hours greater than 5 hours it make more sense to rent a scooter from Sam's

Part C) Yes, for the number of hours equal to 5 the cost of Sam'scooters is equal to the cost of Rosie's scooters

Part D) The cost is $90

Step-by-step explanation:

Let

x-------> the number of hours (independent variable)

y-----> the total cost of rent scooters (dependent variable)

we know that

Sam's scooters

$y=8x+30$

Rosie's scooters

$y=10x+20$

using a graphing tool

see the attached figure

A. when does it make more sense to rent a scooter from Rosie's? How do you know?

For the number of hours less than 5 hours it make more sense to rent a scooter from Rosie's (see the attached figure) because the cost in less than Sam' scooters

B. when does it make more sense to rent a scooter from Sam's? How do you know?

For the number of hours greater than 5 hours it make more sense to rent a scooter from Sam's (see the attached figure) because the cost in less than Rosie' scooters

C. Is there ever a time where it wouldn't matter which store to choose?

Yes, for the number of hours equal to 5 the cost of Sam'scooters is equal to the cost of Rosie's scooters. The cost is $70 (see the graph)

D. If you were renting a scooter from Rosie's, how much would you pay if you were planning on renting for 7 hours?

Rosie's scooters

$y=10x+20$

For x=7 hours

substitute

$y=10(7)+20=90$

The cost is $90

4 0

3 years ago