1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alik [6]
3 years ago
8

At boarding school, students spend 1/4 of their time eating and sleeping, 3/5 of their time in class, and 1'12 studying. The res

t of the time is considered free time, which the student can spend doing activities of their own choosing. What fraction is considered free time?
Mathematics
1 answer:
steposvetlana [31]3 years ago
8 0

Answer:

1/15 of their time is free time.

Step-by-step explanation:

To find the answer to this 2-step problem, we have to add all the fractions up, then find how much of that time is not part of the fraction.

So to add all the fractions, you have the equation:

1/4 + 3/5 + 1/12

The first thing we have to do is to find a common denominator.

4, 5, and 12 are each able to multiply into 60.

So we can make the equation now with a common denominator.

15/60+36/60+5/60=56/60.

We now can simplfy this.

56/60=14/15

Now that we know how long it is to do all the other activities, it tells us that the rest of the time is free time. To find the rest of the time, we have to do:

1-14/15=1/15

So 1/15 of their time is free time.

You might be interested in
Two accounts each begin with a deposit of $9000. Both accounts have rates of 3.1%, but one account compounds interest once a yea
Elodia [21]
<h3 />

Given : Initial deposit or the principal amount = $ 9000

Rate of interest = 3.1 %

Compound interest annually

= principal (1 + r/ 100)^t

here put value principal rate and time period 1, 5 10 and 20 years

and we get the  amount for each time period        

than for interest = amount - principal we get interest    

as that we calculate all value:

given in the attachment

<h3>When do we use compound interest ?</h3>

When interest on a balance in a savings or investment account is reinvested, you receive compound interest, which results in higher interest payments. Money makes money, a wise man once said. And money makes money by making more money. Compound interest speeds up the long-term growth of your savings and investments.

To know  more about compound interest visit:
brainly.com/question/22621039

#SPJ13

4 0
1 year ago
The heights of twelve month old boys are normally distributed with a mean of 29.8 inches and a standard deviation of 1.2 inches.
Triss [41]

Answer:

About twenty-one percent of twelve month old boys are shorter than 28.8 inches.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 29.8, \sigma = 1.2

About twenty-one percent of twelve month old boys are shorter than what height?

This is the value of X when Z has a pvalue of 0.21. So it is X when Z = -0.805.

Z = \frac{X - \mu}{\sigma}

-0.805 = \frac{X - 29.8}{1.2}

X - 29.8 = -0.805*1.2

X = 28.8

About twenty-one percent of twelve month old boys are shorter than 28.8 inches.

4 0
3 years ago
(-42.27,4.4) and (2.27,3.1) what is the slope?​
kaheart [24]

Answer:

i need one more brainliest and i will level up can u gimme brainliest THXXXXXXXXX!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

<h2><u>HELP KEY FOR SLOPE RIGHT HERE!</u></h2>

Using the Slope Equation:

Pick two points on the line and determine their coordinates.

Determine the difference in y-coordinates of these two points (rise).

Determine the difference in x-coordinates for these two points (run).

Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).

How do you calculate rise over run?

Multiply the slope by the run to calculate the rise between subsequent points. In the example, if you wanted to know the rise given a run of 10, multiply 10 times 0.6 to calculate a rise of 6. Divide the rise by the slope to calculate the run.

What does a slope of mean?

The slope of a line is the steepness of the line. There are many ways to think about slope. Slope is the rise over the run, the change in 'y' over the change in 'x', or the gradient of a line.

How do I find slope?!

<u>The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .</u>

I do not know the exact answer to ur question but this was just a help key for you. :) maybe it helped? :)

PLEASE GIVE ME BRAINLIEST! have a great day.

4 0
3 years ago
What does this equal 8a + 7 = 31?
Anna007 [38]
First, subtract 7 from both sides.
8a=24
Then, divide each side by 8.
a=3
6 0
3 years ago
Read 2 more answers
Plz help me This is due tomorrow :)
Helga [31]
The answer C make more sense.
4 0
3 years ago
Read 2 more answers
Other questions:
  • Find the measure of the remote exterior angle. mZx = (4n – 18)º
    13·2 answers
  • What is the shortest distance from the center of the inscribed circle to the sides of the triangles?
    14·2 answers
  • Malik buys and sells car parts. He bought two tires for $45.00 each and later sold them for $65.00 each. He bought three rims fo
    9·1 answer
  • Hello I would Like some help on Graphing Inequalities​
    6·2 answers
  • I’m not sure how I do this. Plz help me
    7·1 answer
  • What is answer when you subtract 7/15-1/6
    12·1 answer
  • PLS PLS PLS PLS PLS ANSWER THIS!!!!!!!!
    13·2 answers
  • George bought a cylindrical water tank for his garden, but he forgot to ask the seller what the diameter of the tank was. He nee
    8·2 answers
  • Help meh, i need help
    10·2 answers
  • Form NOON to <br> 1:23 A.M. how much time has passed?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!