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mr Goodwill [35]
3 years ago
14

How many ways can 10 runners finish first, second, and third in a race?

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
4 0
Let's call the 10 runners A B C D E F G H I J
ABC
ABD
ABE
ABF
ABG
ABH
ABI
ABJ
ACB
ACD
ACE
ACF
ACG
ACH
ACI
ACJ
ADB
ADC
ADE
ADF
ADG
ADH
ADI
ADJ
AEB
AEC
AED
AEF
AEG
AEH
AEI
AEJ
AFB
AFC
AFD
AFE
AFG
AFH
AFI
AFJ
AGB
AGC
AGD
AGE
AGF
AGH
AGI
AGJ
AHB
AHC
AHD
AHE
AHF
AHG
AHI
AHJ
AIB
AIC
AID
AIE
AIF
AIG
AIH
AIJ
AJB
AJC
AJD
AJE
AJF
AJG
AJH
AJI
The above is 60 different ways, but now B C D E F G H I J have to come first, and the proses starts again, until we have covered them all. I'm not going to write them all out but in theory, there is 540 different ways. 9*60=540.
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stiks02 [169]
Number 1 is -4/3/8 here u go
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3 years ago
Solve for x.<br> 2.8 3.2x + 1 = 16.6
Yuliya22 [10]

Answer:

\sf x = \dfrac{15.6-2.8a}{3.2}

Step-by-step explanation:

Solve for 'x'.

To solve for 'x', isolate 'x'.

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Subtract 1 from both sides.  {Subtraction property of equality}

   2.8a + 3.2x = 16.6 - 1

    2.8a + 3.2x = 15.6

Subtract 2.8 a from both sides.

              3.2x  = 15.6 - 2.8a

Now, divide both sides by 3.2.  {Division property of equality}

                 \sf \dfrac{3.2x}{3.2}=\dfrac{15.6-2.8a}{3.2}\\\\\boxed{x=\dfrac{15.6-2.8a}{3.2}}

                 

6 0
2 years ago
Consider the relationship between the words pine and tree Which answer choice contains a pair of words with the same relationshi
BaLLatris [955]

Answer:

Maybe it's C.

Step-by-step explanation:

4 0
4 years ago
How do I calculate the shaded area of this shape ?
TEA [102]

SOLUTION:

We are to calculate the shaded area of the given shape.

CONCEPT:

This is a triangle that a rectangle was cut out from.

To calculate the shaded area of the given shape, we are to find the area of the triangle and then subtract the area of the recangle that was cut out.

\begin{gathered} \text{Area of Triangle:} \\ A\text{ = }\frac{1}{2}\text{ base }\times\text{ height} \\  \\ A\text{ = }\frac{1}{2}\text{ }\times\text{ 6m }\times7m\text{ } \\  \\ A=21m^2 \end{gathered}\begin{gathered} \text{Area of Rectangle:} \\ A=L\text{ }\times\text{ W } \\ A\text{ = 4m }\times\text{ 2m} \\ A=8m^2 \end{gathered}

The shaded area = Area of the triangle - Area of the rectangle

\begin{gathered} \text{Shaded area = 21 m}^2-8m^2 \\ \text{Shaded area = 13 m}^2 \end{gathered}

3 0
1 year ago
Last week Len spent $18 to bowl 4 games. This week he spent $27 to bowl 6 games. Len owns his bowling ball and shoes, so he only
Nat2105 [25]

Answer:

$4.50/ g - Games

Step-by-step explanation:

$18

-------------  =  $4.50/g

4 g

$27

------- = $4.50/g

 6 g

C(x) = ($4.50/game)x, where x is the # of games played.

5 0
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