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Scilla [17]
3 years ago
13

Ten students enter a math contest. In how many ways can 1st, 2nd, and 3rd place trophies be awarded?

Mathematics
1 answer:
IrinaVladis [17]3 years ago
4 0

After one of them is chosen for 1st, there are only 9 choices for 2nd, and then there are only 8 choices for 3rd... and so on. There are 720 different ways to pick 1st, 2nd, and 3rd place from among 10 original students

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Solve the system and enter the smallest x-coordinate first
ankoles [38]
Answer:
(2,-3)(6,5)
Step-by-step explanation:
We can use substitution to get the equation: x^2-6x+5 = 2x-7
Solve:
x^2-6x+5 = 2x-7
x^2 = 8x-12
x^2-8x+12 = 0 (we now have a polynomial)
(x-6)(x-2) = 0 (set each equation to equal 0 and solve)
x-6 = 0 --> x=6
x-2 = 0 --> x=2
To get the Y coordinates:
y=2(2)-7 --> y = -3
y = 2(6)-7 --> y = 5

Check work:
5 = 6^2-6(6)+5 --> 5 = 36-36 +5 --> 5=5
-3 = 2^2-6(2)+5 --> -3 = 4-12+5 --> -3=-3
4 0
1 year ago
A telecommunication company has 7 satellites, two of which are sending a week signal. If two are picked at random without replac
Setler [38]
2/7 is the probability that the first satellite sends a weak signal. That leaves 6, one of which sends a weak signal. So the probability that the second also sends a weak signal is 1/6. Combine these and we get 2/7×1/6=1/21.
5 0
3 years ago
1: Ken earned $176 from his part-time job this summer. He spent 25% of his money on games. ​He is going to donate 14 of the rema
tatiyna

The charity will receive $ 11

<h3><u>Solution:</u></h3>

Ken earned $176 from his part-time job this summer

Amount earned = $ 176

He spent 25% of his money on games

Therefore,

Money spent on games = 176 - 25 % of 176

\text{Money spent on games } = 176 - \frac{25}{100} \times 176\\\\\text{Money spent on games } = 176 - 0.25 \times 176\\\\\text{Money spent on games } = 176 - 44\\\\\text{Money spent on games } = 132

He is going to donate 1/4 of the remaining money to charity

Reamining amount = 176 - 132 = 44

Therefore,

Money\ given\ to\ charity = \frac{1}{4} \times 44 = 11

Thus he gave $ 11 to charity

8 0
3 years ago
Can some one please help me complete this table?
8_murik_8 [283]

Answer: -1 would be -d

0 -> d

1 -> f

2 -> stays same

(if this is not the right answer I'm sorry because i learned this awhile ago

4 0
2 years ago
If θ is an angle in standard position and its terminal side passes through the point (21,-20), find the exact value of \cot\thet
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Buying the president of the state national national
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