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2 years ago

What fractional part of a day do you spend sleeping if you sleep 8 hours per day?

2 answers:

7 0

In a day, there are 24 hours. The fractional part of a day you spend sleeping is the ratio of the number of hours you sleep to the total number of hours in a day. This is shown below,
r = 8 hours / 24 hours = 1/3
Thus, you sleep for 1/3 of your day.

Alona [7]2 years ago

4 0

About 24 hours per 1 day
8/24=1/3

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Mr. Itol's assistant takes twice as long to complete a computer task as Mr. Itol. If it takes both experts 6 hours to complete t

Lesechka [4]

So, in order to solve this problem, I will set up an equation. First, let's make x= the # of hours it takes Mr. Itol to complete a computer task, and since his assistant takes twice as long, lets make 2x=the # of hours it takes the assistant to complete the task. We also know that it takes the two of them 6 hours to complete the task together. We can now set up the following equation:

$\frac{1}{2x} + \frac{1}{x} = \frac{1}{6}$

Now, in order to be able to solve this, we have to find the least common denominator, and then we can cancel out the denominators to solve for the top part. The LCD=6x and the new equation becomes:

$\frac{3}{6x} + \frac{6}{6x} = \frac{x}{6x}$

Now, we can get rid of the denominators, and we get:

$3+6=x$

So, x= 9

Now we know that Mr. Itol would take 9 hours to complete the task if he were to do it himself. To find how long it would take his assistant to complete the same task by himself, we just need to plug in the x-value into 2x:

$2(9)=18$

Therefore, your answer is that Mr. Itol would take 9 hours to do the job alone, while his assistant will take 18 hours (double the time) to do the job alone.

Hope this helps :)

4 0

2 years ago

The midpoint of AB is M (2,0). If the coordinates of A are, (-3, 3), what are the coordinates of B?

gregori [183]

Given:

M is the midpoint of AB.

M(2,0) and A(-3, 3).

To find:

The coordinates of point B.

Solution:

Midpoint formula:

$Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

Let the coordinates of point B are (a,b). Then, using the midpoint formula, we get

$(2,0)=\left(\dfrac{-3+a}{2},\dfrac{3+b}{2}\right)$

On comparing both sides, we get

$\dfrac{-3+a}{2}=2$

$-3+a=2\times 2$

$a=4+3$

$a=7$

And,

$\dfrac{3+b}{2}=0$

$3+b=0$

$3+b-3=0-3$

$b=-3$

Therefore, the coordinates of point B are (7,-3).

5 0

2 years ago

Elapsed time is 5hours & 51 minutes. End time is 8:50 a.m. what is the start time?

Ket [755]

Easy, 2:59 would be the start time.

6 0

2 years ago

Read 2 more answers

While playing games on a particular smart phone, 1% of the battery is drained every five minutes of game play. The battery start

Nostrana [21]

Answer:

B(75) represents the percent of battery full after 75 minutes of game play

Step-by-step explanation:

Let m represent the number of minutes of game play. If 1% of the battery is drained every five minutes of game play, then after m minutes of game play $\dfrac{m}{5}\%$ was drained.