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2 years ago

At a competition with 6 runners, 6 medals are awarded for first place through

Mathematics

1 answer:

Zinaida [17]2 years ago

6 0

Answer:

A. Permutation; number of ways = 720

Step-by-step explanation:

For the first medal, we have 6 runners that can earn it.

For the second medal, we have 5 runners because there's one who won the first one.

For the third, we have 4 runners.

And so on up to the 6th medal where we have just one runner left.

As this happens all at the same time, we have to multiply them.

Ways to award the medals = 6*5*4*3*2*1 = 6! = 720

Remember that a permutation is a combination where the order matters. So, in this case, is a permutation because each medal is different.

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What other points are on the line of direct variation through (5, 12)? Check all that apply. (0, 0) (2.5, 6) (3, 10) (7.5, 18) (

aalyn [17]

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form $y/x=k$ or $y=kx$

in this problem we have

the point $(5,12)$ is on the line of direct variation

Find the constant of proportionality k

$y/x=k$ -------> substitute ------> $k=12/5$

the equation is

$y=\frac{12}{5}x$

Remember that

If a point is on the line of direct variation

then

the point must satisfy the equation of direct variation

we're proceeding to verify each point

case A) point $(0,0)$

$x=0\ y=0$

Substitute the value of x and y in the direct variation equation

$0=\frac{12}{5}*0$

$0=0$ -------> is true

therefore

the point $(0,0)$ is on the line of direct variation

case B) point $(2.5,6)$

$x=2.5\ y=6$

Substitute the value of x and y in the direct variation equation

$6=\frac{12}{5}*2.5$

$6=6$ -------> is true

therefore

the point $(2.5,6)$ is on the line of direct variation

case C) point $(3,10)$

$x=3\ y=10$

Substitute the value of x and y in the direct variation equation

$10=\frac{12}{5}*3$

$10=7.2$ -------> is not true

therefore

the point $(3,10)$ is not on the line of direct variation

case D) point $(7.5,18)$

$x=7.5\ y=18$

Substitute the value of x and y in the direct variation equation

$18=\frac{12}{5}*7.5$

$18=18$ -------> is true

therefore

the point $(7.5,18)$ is on the line of direct variation

case E) point $(12.5,24)$

$x=12.5\ y=24$

Substitute the value of x and y in the direct variation equation

$24=\frac{12}{5}*12.5$

$18=30$ -------> is not true

therefore

the point $(12.5,24)$ is not on the line of direct variation

case F) point $(15,36)$

$x=15\ y=36$

Substitute the value of x and y in the direct variation equation

$36=\frac{12}{5}*15$

$36=36$ -------> is true

therefore

the point $(15,36)$ is on the line of direct variation

therefore

the answer is

$(0,0)$

$(2.5,6)$

$(7.5,18)$

$(15,36)$

5 0

2 years ago

Read 2 more answers

The school jazz band consists of 2 male percussionists, 2 female percussionists, 3 male woodwinds, 2 female woodwinds, 4 male br

dusya [7]

Answer:

$\frac{1}{8}$ chance or 12.5% chance

Step-by-step explanation:

2 male percussionists

2 female percussionists

3 male woodwinds

2 female woodwinds

4 male brass players

3 female brass players

We're looking for a female woodwind. Now there is only 2 of them so we get the female woodwinds out of all the jazz band members or $\frac{2}{16}$ or $\frac{1}{8}$ or 12.5% chance.

6 0

2 years ago

Jane surveyed the students at her school to find out if they like buns and/or noodles. The table below shows the results of the

zheka24 [161]

Well, the data you gave us is confusing, so i'm just going to say that it is the lowest percentage possible 39.1%, because by the choices given, it shouldn't be lower than that

hope this helps

4 0

2 years ago

Read 2 more answers

6. Charlie can spend up to $8 on lunch. He wants to buy a tuna sandwich, a bottle of

PilotLPTM [1.2K]

Answer:

The maximum number of pounds of potato salad that Charlie can buy is 0.375

Step-by-step explanation:

see the attached figure to better understand the problem

Let

a ----> the cost of one tuna sandwich

b ----> the cost of a bottle of apple juice