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malfutka [58]
3 years ago
10

Six people take part in a one hundred-metre sprint. In how many different ways is it possible for the first three prizes to be a

warded assuming there is not a
draw?
Mathematics
1 answer:
den301095 [7]3 years ago
8 0

Answer:

120

Step-by-step explanation:

6P3

6!/(6-3)!

120

or:

6 choices for first spot × 5 choices for the second spot × 4 choices for the third spot

6x5x4 =120

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Math help please!!!!!!!!
larisa86 [58]
   x³ + y + z³
= 12³ + 8 + 3³
= 1728 + 8 + 27
= 1763
6 0
3 years ago
A round cake has a diameter of 30\text{ cm}30 cm30, start text, space, c, m, end text. Angela places the cake on a circular cake
VLD [36.1K]

Answer:

The circumference of the cake board is <u>35π cm</u>.

Step-by-step explanation:

The question is incomplete, so the complete question is below:

A round cake has a diameter of 30 cm. Angela places the cake on a circular cake board with a diameter 5 cm longer than that of the cake. What is the circumference of the cake board? Give your answer in terms of π.

Now, to find the circumference of the cake board.

As, given diameter of cake = 30 cm.

And diameter of cake board is 5 cm longer than that of the cake.

Thus, the diameter of cake board is:

30\ cm+5\ cm=35\ cm.

So, to find the circumference we need radius, by putting formula:

Radius(r)=\frac{Diameter}{2}

Radius(r)=\frac{35}{2}

Radius(r)=17.5\ cm.

Now, to get the circumference of the cake board we put formula:

Circumference=2\pi r.

Circumference=2\times \pi \times 17.5

Circumference=35\pi \ cm.

Therefore, the circumference of the cake board is 35π cm.

4 0
3 years ago
A tennis player hits a serve that cannot be returned 45 percent of time. out of 300 serves, how many can you predict will not be
Aleks [24]
135 ; If you are allowed to use a calculator to determine percents you can do 300 × 45% = and it gives you your answer.
8 0
3 years ago
Read 2 more answers
When she drives to work, Samantha travels 10 miles in about 15 minutes. Matt travels 23 miles in about 30 minutes. Who has the f
Fantom [35]

Answer:

At 0.77 mi/min, Matt travels faster than Jennifer, who averages

only 0.67 mi/min.

Step-by-step explanation:

Average speed = distance/time

<em>For Samantha, </em>

Average speed = 10/15

Average speed = 0.67 mi/min

<em>For Matt, </em>

Average speed = 23/30

Average speed = 0.77 mi/min

7 0
3 years ago
Yesterday morning at 8 a.m. the temperature was -14˚F. At noon it was 10 degrees warmer. The temperature increase between noon a
OLEGan [10]
The temperature was -14°F at 8 a.m.

At noon is was 10 degrees warmer - the temperature increase was 10°F
-14°F + 10°F = -4°F

The tempertaure increase between noon and 4 p.m. was twice the previous increase in temperature, which was 10°F.
10°F x 2 = 20°F

We want to know the temperature at 4 p.m. so we just add it up to the previous result.
-4°F + 20°F = 16°F

16°F is the correct answer
4 0
3 years ago
Read 2 more answers
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