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Dmitry_Shevchenko [17]
3 years ago
13

Max read 100 pages in 2 h. Express this rate in the simplest fraction form.

Mathematics
1 answer:
Delicious77 [7]3 years ago
5 0

Answer:

50 pages per hour

Step-by-step explanation:

\frac{100 pages}{2 hr} =\frac{50(2)}{1(2)} =\frac{50}{1} =50

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Find the area of the lighter shaded region.
Leviafan [203]

Answer:

The area of the lighter shaded region = 38.1 cm²

Step-by-step explanation:

It is given a circle with a sector and a triangle

Radius of circle = 6 cm

<u>To find the area of sector</u>

Area of circle = πr²

 = 3.14 * 6²

 = 3.14 * 36

 = 113.04 cm²

Central angle of sector = 150°

Area of sector = area of circle (150/360)

 = 113.04 *(150/360)

 = 47.1 cm²

<u>To find the area of triangle</u>

Area of this triangle = (1/2)r²Sinθ

 = (1/2) * 6² * Sin(150)

 = 9 cm²

<u>To find  the area of the lighter shaded region</u>

Area of lighter shaded region = Area of sector - area of triangle

 = 47.1 - 9

 = 38.1 cm²

6 0
3 years ago
Read 2 more answers
In how many ways can 3 letters be mailed in 6 mailboxes if each letter must be mailed in a different box? If the letters are not
meriva

Answer:

Question 1: 120 ways

Question 2: 216 ways

Question 3: 1/36 = 0.278

Explanation:

<u>Question 1: In how many ways can 3 letters be mailed in 6 mailboxes if each letter must be mailed in a different box? </u>

The first letter may be mailed in any of the 6 mailboxes: 6

The second letter may be mailed in any of the other 5 mailboxes: 5

The third letter may be mailed in any of the other 4 mailboxes: 4

According to the fundamental counting principle, the total number of possible outcomes is the product of the possible outcomes for each event.

Thus, the number of ways 3 letters can be mailed in 6 mailboxes, if each letter must be mailed in a different box is 6 × 5 × 4 = 120.

<u>Question 2: If the letters are not necessarily mailed in different boxes, how many ways are there of posting them? </u>

Again, you must use the fundamental counting principle.

This time, since the letters are not necessarily mailed in different boxes, each one can be mailed in 6 boxes, and the total number of ways 3 letters can be mailed is:

  • 6 × 6 × 6 = 216.

<u>Question 3. If the letters are mailed at random, and not necessarily in different boxes, what is the probability that all the letters are put in the same mailbox?​</u>

<u></u>

The probability that all the letters are put in the same mailbox is:

  • number of favorable outcomes / number of total possible outcomes

  • number of favorable outcomes: 6

        This is: the three letters are mailed in the first mailbox, or the three letters in the second mailbox, or the three letters in the third mailbox, or the three letters in the fourth mailbox, or the three letters in the fifth mailbox, or the three letters in the sixth mailbox: 6.

  • number of total possible outcomes: 216 calculated in the question number 2.

  • probability = 6 / 216 = 1/36 = 0.278
3 0
3 years ago
The equation x + 3y=9 and the equation 2x+6y=18 are plotted on the same graph chart. All of the following points will lie on bot
PolarNik [594]
Im sorry all i know is that the lines are parallel and A and B are definitely on the line, i believe the answer is D
5 0
3 years ago
A local telephone company offers a long-distance telephone plan that charges $5.25 per month and $0.08 per minute of calling tim
Zepler [3.9K]

Answer:

$19.09

Step-by-step explanation:

We just have to substitute t(minutes) for 173

0.08(173) + 5.25

13.84 + 5.25 = 19.09

His monthly bill would be $19.09

Nineteen dollars and 9 cents

6 0
3 years ago
Read 2 more answers
A watch loses 15 seconds every day how many minutes will it lose in 2 weeks.<br>​
REY [17]

2 weeks = 14 day

14 * 15 = 210 seconds

210/60=3 hours and 30 minutes or 3.5 hours.

8 0
2 years ago
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