On the first day of the play the auditorium was 1/3 full, on the second day it was it was 5/12 full, and on the third day it was 1/2 full. if this pattern continues, how full will it be on the fourth day?

Answers

Answer 1

Answer:

Answer:

$\bf\textbf{Part of auditorium filled on fourth day = }(7)/(12)$

Step-by-step explanation:

$\text{Part of the auditorium filled on first day = }(1)/(3)\n\n\text{Part of the auditorium filled on second day = }(5)/(12)\n\n\text{Increase in the part of auditorium filled on second day than first day = }(5)/(12)-(1)/(3)\n\n=(5-4)/(12)\n\n=(1)/(12)$

$\text{Part of the auditorium filled on third day = }(1)/(2)\n\n\text{Increase in the part of auditorium filled on third day than second day = }(1)/(2)-(5)/(12)\n\n=(6-5)/(12)\n\n=(1)/(12)$

$\text{Hence, each day the auditorium is filled }(1)/(12)\text{ part more}\n\n\bf\textbf{So, Part of auditorium filled on fourth day = }(1)/(2)+(1)/(12)\n\n(6+1)/(12)\n\n=(7)/(12)$

Answer 2

Answer: 7/12.

If you make 1/3, 5/12, and 1/2 the same denominator, it will be:
4/12,5/12,and 6/12.

you can see that these fractions are increasing 1/12 for each day. so on the forth day, it will be 7/12.

Related Questions

How do you get 58% as a decimal
Which equation could be used to solve the problem? Tony is on a train that travels 99 mi in 1 h. At that rate, how many miles (d) will the train travel in 9 h ?A.d = 99 + 9B.d = 99 ÷ 9C.d = 9 ÷ 99D.d = 99 • 9
Sarah bought a 24-ounce can of tomato sauce for $8.40. What is the unit price per ounce?
Andrew is trying to create a number puzzle for his younger sister to solve. He challenges his sister to find the mustery number. when 4 is subtracted from half a number the result is 5. The equation to represent the mystery number is 1/2m -4 =. Andrews sister tries to guess the mustery number. Her first gues is 30. Is she correct? why or why not? What is the correct answer?
At the football game, the Pep Club sold a total of 12 liters of fruit punch in 2 hours. The same amount of fruit punch was sold each hour. How many liters of fruit punch were sold each hour?

What is 3 equivalent ratios for 3:4

Answers

A few equivalent ratios for 3:4 are:

6:8
12:16
24:32
60:80
300:400
240:320
45:60
75:100

Multiply each part of the ratio by the same number to get an equivalent ratio.
(2)*3 : (2)*4
6:8

(3)*3 : (3)*4
9:12

(4)*3 : (4)*4
12:16

Write this number in expanded form 4,408,730

Answers

Expanded form means writing out a number in words. So, in expanded form, 4,408,730 will be:

four million, four hundred eight thousand, seven hundred thirty

It helps to figure this out if you say the number out loud, and then simply write down what you said.

A secret code is designed by choosing a letter from the alphabet and then choosing a digit from 0-9. which equation below correctly represents the probability of choosing the secret code “7Q” according to the picture?

Answers

This is the only option that correctly represents the probability of choosing the secret code “7Q” according to the picture. Thus, option (D) is correct.

Event - 1: Choosing a letter from the alphabet that is Q.

Let us assume the probability of happening of event 1 is P(Q).

Event - 2: Choosing a digit from 0-9 that is 7.

Let us assume the probability of happening of event 1 is P(7).

Now, we need to choosing the secret code that is 7Q.

We need to multiply both events to get the desired result.

Thus,

$P(7 \cap Q)=P(7) * P(Q)$

This is the only option that correctly represents the probability of choosing the secret code “7Q” according to the picture.

To know more about it, please refer to the link:

brainly.com/question/17015302

Answer:

Option 4: P(7∩Q) = P(7) × P(Q)

Step-by-step explanation:

P(7∩Q) represents the probability of choosing the secret code "7Q".

If A and B are independent events, then,

P(A∩B) = P(A) × P(B)

Let A be the event of choosing a number from 0-9 and

B be the event of choosing an alphabet.

Clearly, A and B are independent.

Therefore,

P(7∩Q) = P(7) × P(Q)

Jacob has $19.76. She wants to by a coke for $1.25 for each of her friends. She needed to save $2.15 for a movie ticket. How make bottles of coke can Jacob buy?

Answers

Hi Lhutcherson200p7rbqr,

Your Question:

Jacob has $19.76. She wants to by a coke for $1.25 for each of her friends. She needed to save $2.15 for a movie ticket. How make bottles of coke can Jacob buy?

Solution:

19.76 - 2.15 = $17.61 left

17.61 / 1.25 = 14.088 = 14

Final Answer:

He can buy 14 cokes!

Hope This Helps!

Jacob can buy 15 bottles of coke.

What is the answer of 3-3+6+2