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tangare [24]
3 years ago
6

Eight people are entered in a race. If there are no ties, in how many ways can the first three places come out? a.336 b.368 c.67

2 d.512 Please explain how to do this problem.
Mathematics
1 answer:
Luden [163]3 years ago
8 0
The first thing to do is to calculate how many ways you can choose 3 people from a set of eight.  In order to do this, we need to use the attached formula.
(The letter 'n' stands for the entire set and 'r' stands for the number of objects we wish to choose.)
So we wish to choose 3 people ('r') form a set of 8 ('n')
combinations = n! / r! * (n - r)!
combinations = 8 ! / (3! * 5!)
combinations = 8 * 7 * 6 * 5! / (3!) * (5!)
combinations = 8 * 7 * 6 / 3 * 2
combinations = 56

Now of those 56 combinations, the 3 people can finish in 6 different ways.
For example, persons A, B and C could finish
ABC or ACB or BAC or BCA or CAB or CBA

So to get the TOTAL combinations we multiply 56 * 6 which equals
336 so the answer is (a)


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At a sale this week, a desk is being sold for 128.80. This is a 72% discount from the original price. What is the original price
wel

Answer:

$460

Step-by-step explanation:

If the 128.80 is the price of the desk after a 72% discount, it means that 128.80 is 100-72=28% of the original price.

From here, we can divide 128.80 by 28 to find what 1% of the price is then multiply the value by 100 to find 100%, or the original price.

128.80/28 = 4.6

4.6 x 100 = 460

Original price = $460

Hope this helped!

6 0
2 years ago
HELP ASAP 15 POINTS!!!<br> What is the solution to this equation?<br> 6(x-5)=4x+20
Andre45 [30]

Answer:

<h2><u><em>x = 25</em></u></h2>

Step-by-step explanation:

What is the solution to this equation?

6 * (x - 5) = 4x + 20

6x - 30 = 4x + 20

2x = 20 + 30

2x = 50

x = 50 : 2

x = 25

-------------------

check

6 * ( 25 - 5) = 4 * 25 + 20

6 * 20 = 100 + 20

120 = 120

the answer is good

3 0
2 years ago
Read 2 more answers
PLEASE ANSWR DUE BY 11:59 P.M TODAY 50 POINTS
hoa [83]

Answer:

1) 1/4

3) 1/12

4) 5/6

Step-by-step explanation:

1) P(Red) = 1/4

4 options out of which 1 is red

2)

Black --> Black, White, Yellow

Green --> Black, White, Yellow

Red --> Black, White, Yellow

White --> Black, White, Yellow

First 4 branches for buttons.

From each of these 4 branches, make 3 further branches for ribbons

3) In the tree diagram, there are

12 (4×3 = 12) equally likely outcomes

Out of which 1 is (Black, Black)

So, P(Black & Black) = 1/12

4) out of the 12 outcomes, only 2 have same colour of bottom ribbon:

(Black, Black) & (White,White).

Other 10 have different colours.

P(different) = 10/12 = 5/6

5 0
3 years ago
Which of the following best represents a compound?
Ronch [10]

Answer:

The answer to your question is: Salt

Step-by-step explanation:

Element: is a substance that cannot be converted into another substance.

Compound: is a substance that is formed by 2 or more elements.

Mixture: is a substance composed by 2 or more compounds.

Iron                            it is an element

Salt                            it is a compound

River sediment        it is a mixture

Ocean water           it is a mixture

7 0
3 years ago
Compute the slope m of the line that passes through the points ​(1.5​,0) and ​(0,2.5​). Sketch the line that passes through thes
Gre4nikov [31]

Answer:

-5/3

Step-by-step explanation:

m=y-y1/x-x1.

m= 2.5-0/0-1.5.

m= 2.5/-1.5.

m=-5/3.

8 0
3 years ago
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