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svlad2 [7]
3 years ago
12

A hockey game between two teams is 'relatively close' if the number of goals scored by the two teams never differ by more than t

wo. In how many ways can the first 12 goals of a game be scored if the game is 'relatively close'?
Mathematics
1 answer:
Semenov [28]3 years ago
5 0
48 different ways. 12 goals 2 teams and they never differ more than 2 so 12x2x2=48.

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4 years ago
A shipping container will be used to transport several 70-kilogram crates across the country by rail. The greatest weight that c
alina1380 [7]

Subtract what has already been loaded from total amount allowed:

23500 - 9700 = 13,800

Divide the amount left by the weight of each crate:

13,800 / 70 = 197.14

They can load 197 crates.

6 0
3 years ago
Which of the following is NOT a rational number?
makvit [3.9K]

Answer:

A <u>rational number</u> is a number that can be expressed as a fraction (the ratio of two integers).  

<u>Integer</u>:  A whole number that can be positive, negative, or zero.

To calculate if each radical can be expressed as a rational number, convert the decimals into rational numbers, then simplify:

\sqrt{121}=\sqrt{11^2}=11=\dfrac{11}{1} \quad \leftarrow \textsf{rational}

\sqrt{12.1}=\sqrt{\dfrac{1210}{100}}=\dfrac{\sqrt{1210}}{\sqrt{100}}=\dfrac{\sqrt{121\cdot 10}}{10}=\dfrac{\sqrt{121}\sqrt{10}}{10}=\dfrac{11\sqrt{10}}{10} \leftarrow \textsf{not rational}

\sqrt{1.21}=\sqrt{\dfrac{121}{100}}=\dfrac{\sqrt{121}}{\sqrt{100}}=\dfrac{\sqrt{11^2}}{\sqrt{10^2}}=\dfrac{11}{10} \leftarrow \textsf{rational}

\sqrt{0.0121}=\sqrt{\dfrac{121}{10000}}=\dfrac{\sqrt{121}}{\sqrt{10000}}=\dfrac{\sqrt{11^2}}{\sqrt{100^2}}=\dfrac{11}{100} \leftarrow \textsf{rational}

Therefore, \sf \sqrt{12.1} is not a rational number.

5 0
2 years ago
A student can run 100 yards in 15 seconds. Convert this speed to miles per hour.
nydimaria [60]
Answer:
6.67 miles per hour

6 0
3 years ago
Solve the equation 2cos^2x = sin2x , giving your answer in terms of π. 0
Sveta_85 [38]
<span>2cos^2x = sin2x 2cos^2x = 2sin x cos x (2sin x cos x) / (2cos^2x) = 1 sin x / cos x = 1 tan x = 1 x = π/4</span>
8 0
3 years ago
Read 2 more answers
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