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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?

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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Elmer sees a flying saucer. The radius of the flying saucer is 17 feet. What is the area of the flying saucer (use 3.14 for pi a

sergiy2304 [10]

Answer:

Area of the flying saucer = $907.46 ft^2$

Step-by-step explanation:

The Flying saucer is in the shape of a circle.

$Radius= 17 feet$

Area of the circular flying saucer= $\pi *r*r$

: $\pi =\frac{22}{7} =3.14$

Area= $3.14*17*17$

Area of the flying saucer $=3.14*289\\\\ =907.46 ft^2$

So, the area of the flying saucer is $907.46 ft^2$

8 0

3 years ago

A 15ftX20ft room has a 6ft diameter circular rug in it. How much of the flood is not covered by the rug?

Luda [366]

Answer:

There are 271.74 ft^2 not covered by the rug

The percentage not covered by the rug is 90.58%

Step-by-step explanation:

step 1

Find out the area of the room

The area of the rectangular room is

$A=(15)(20)=300\ ft^2$

step 2

Find out the area of the circular rug

The area of the circle is

$A=\pi r^{2}$

we have

$\pi =3.14$

$r=6/2=3\ ft$ ----> the radius is half the diameter

substitute

$A=(3.14)(3)^{2}$

$A=28.26\ ft^{2}$

step 3

Find out what percentage of the room is not covered by the rug

we know that

300 ft^2 represent the 100%

so

using proportion

Find out what percentage represent the difference (300-28.26)=271.74 ft^2

Let

x ----> the percentage not covered by the rug

$\frac{300}{100\%}=\frac{271.74}{x}\\\\x=100(271.74)/300\\\\x=90.58\%$

Convert to fraction form

$90.58\%=\frac{90.58}{100}$

Simplify

$\frac{4,529}{5,000}$

therefore

There are 271.74 ft^2 not covered by the rug

The percentage not covered by the rug is 90.58%

4 0

3 years ago

If x=-1, then which of the following equations makes a true statement? A. 4x+9= 20 B. -4x-5=-15 C. -3x+15=-22

AveGali [126]

Answer:

The only thing I can think of is that you miss-typed out the question. None of these work :/

8 0

3 years ago

Read 2 more answers

Select the correct answer.

RideAnS [48]

Answer: Your question options are not legible but the inverse of the function is f-1(x) = (x + 2) / 2

Step-by-step explanation:

y = 2x + 2

Make x the subject of formula:

2x = y - 2

x = (y - 2) / 2

Now substitute y for x:

(x - 2) / 2

Y = (x - 2) / 2 is the inverse equation of the above graph.

4 0

2 years ago

Ella wants to buy new uniform for work that cost $32 her employer promises to pay 20% of the cost while Ella must pay the rest h

natta225 [31]

Employer pays $6.40
Ella pays $25.60

3 0

2 years ago