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bekas [8.4K]
3 years ago
10

Combinatorics problem. A web site was hit 300 times over a period of 15 days Show that over some period of 3 consecutive days, i

t was hit at least 60 times.
Mathematics
1 answer:
crimeas [40]3 years ago
6 0

Answer:

There is a period of 3 consecutive days in which the website was hits at least 60 times.

Step-by-step explanation:

A web site was hit 300 times over a period of 15 days.

To solve this question we will use the Pigeonhole Principle.

Here, n = 300 and k = 5

We will find \frac{n}{k} to get that there is a hole with at least \frac{300}{5}=60 pigeons.

Hence, there is a period of 3 consecutive days in which the website was hits at least 60 times.

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at a concession stand 9 slices of pizza and 5 soft pretzels cost $33.25. If 4 slices of pizza and 6 soft pretzels cost $19.50. W
jok3333 [9.3K]

Answer:

The cost of soft pretzel is $1.25

Step-by-step explanation:

Let $x be the price of one slice of pizza and $y be the price of one soft pretzel.

1. 9 slices of pizza cost $9x and 5 soft pretzels cost $5y. Together they cost $33.25, then

9x+5y=33.25.

2. 4 slices of pizza cost $4x and 6 soft pretzels cost $6y. Together they cost $19.50, then

4x+6y=19.50.

3. Solve the system of two equations:

\left\{\begin{array}{l}9x+5y=33.25\\4x+6y=19.50\end{array}\right..

Multiplythe first equation by 4, the second equation by 9 and subtract them:

4(9x+5y)-9(4x+6y)=4\cdot 33.25-9\cdot 19.50,\\ \\36x+20y-35x-54y=133-175.5,\\ \\-34y=-42.5,\\ \\y=\$1.25.

Then

4x+6\cdot 1.25=19.50,\\ \\4x=19.50-7.50,\\ \\4x=12,\\ \\x=\$3.

6 0
3 years ago
Read 2 more answers
The function f(x)=−2(0.25)x+1 is shown. Select from the drop-down menus to correctly describe the end behavior of f(x).
Viktor [21]

Answer:

Q1

cos 59° = x/16

x = 16 cos 59°

x = 8.24

Q2

BC is given 23 mi

Maybe AB is needed

AB = √34² + 23² = 41 (rounded)

Q3

BC² = AB² - AC²

BC = √(37² - 12²) = 35

Q4

Let the angle is x

cos x = 19/20

x = arccos (19/20)

x = 18.2° (rounded)

Q5

See attached

Added point D and segments AD and DC to help with calculation

BC² = BD² + DC² = (AB + AD)² + DC²

Find the length of added red segments

AD = AC cos 65° = 14 cos 65° = 5.9

DC = AC sin 65° = 14 sin 65° = 12.7

Now we can find the value of BC

BC² = (19 + 5.9)² + 12.7²

BC = √781.3

BC = 28.0 yd

All calculations are rounded

 

6 0
3 years ago
Pls help. What is the appropriate congruent for these triangles
Leviafan [203]

Answer:

C. HL

Step-by-step explanation:

The diagram given shows that the hypotenuse length and the length of a leg of one right triangle is congruent to the hypotenuse and corresponding leg length of the other. Based on Hypotenus-Leg criterion, the two right triangles is proved to be congruent because it meets the criterion of HL.

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3 years ago
Guys can you do this i want to spend time with my brother just do 4 and 5
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Cristiano Ronaldo 'instructs agent to seal transfer' amid Man Utd and Real Madrid links
6 0
3 years ago
If 5^2x=26, what is the value of x?<br><br> x≈4.05<br> x≈1.41<br> x≈1.01<br> x≈0.99
babunello [35]
The correct answer is x≈1.01
You're welcome. ;)
7 0
3 years ago
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