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
Fittoniya [83]
3 years ago
13

During a day a student spends 7 hours sleeping, ¹/4 of the day studying and of the time travelling. What fraction of the day is

left for other things?
Mathematics
1 answer:
Fiesta28 [93]3 years ago
5 0

Answer:

\dfrac{5}{24}

Step-by-step explanation:

  • Time Spent Sleeping=7  hours
  • Time Spent Studying=\frac{1}{4} of the day
  • Time Spent Travelling=\frac{1}{4} of the day

There are 24 hours in a day, therefore:

  • Time Spent Studying=\frac{1}{4} X 24 =6 Hours
  • Time Spent Travelling=\frac{1}{4} X 24 =6 Hours

The total hour used for sleeping, studying and travelling=7+6+6=19 hours

Hours used for other things=24-19=5 hours

Therefore, the fraction of the day used for other things=\dfrac{5}{24}

You might be interested in
Find the volume of the figure. Round to the nearest hundredth if needed.
sergij07 [2.7K]

Answer:

4,914 i think, when rounding it, it will be 4,920

4 0
3 years ago
The base of a triangle is twelvetwelve more than twice its height. if the area of the triangle is 4545 square​ centimeters, find
mr Goodwill [35]
In order to begin we must start off with the formula for the area of a triangle, which is a=1/2b(h) where a is area, b is base, and h is height.

In this scenario, we know that the area is 45cm^2 and the base is 2h+12 (since it is twice it’s height plus twelve). We can plug this into the area equation and then proceed to solve out accordingly.
a=1/2b(h)
45=1/2(2h+12)(h)
90=(2h+12)(h)
90=2h^2 + 12h
0= 2h^2 + 12h - 90

Simplify by dividing the two out.

h^2 + 6h - 45 = 0.

Now plug into the quadratic formula (with a=1, b=6, and c=-45) as shown in the image below.

After plugging the equation in and solving, we come to the idea that h is roughly equal to 4.34. We can now plug this back into the triangle area formula to solve out for b.
a=1/2b(h)
45=1/2(2h + 12)(h)
45=1/2(20.69)(4.34)
45=45.

In conclusion;
The height is ≈ 4.34
The base is ≈ 8.68

Hope this helps :)
6 0
3 years ago
62.52=27.39+t this is 7th grade math! plsss help!!1
Tju [1.3M]

Answer:

Hope it helps you friend

and please mark me as

BRAINLIEST

6 0
2 years ago
You roll a 6-sided die.
Lerok [7]

Answer:

\huge\boxed{\text{P(not factor of 35) = } \frac{2}{3}}

Step-by-step explanation:

We can use basic probability to find the probability that this roll is not a factor of 35.

First off, we know that with a six sided die there are 6 possible things we can roll.

1, 2, 3, 4, 5, or 6

Now, what are the factors of 35? The factors of 35 will be any whole number that can be multiplied by another whole number to get 35.

  • We know 1 \cdot 35 = 35, so two factors are 1 and 35.
  • We know 5 \cdot 7 = 35, so two factors are 5 and 7.

Therefore, the factors of 35 are 1, 5, 7, 35.

Both 5 and 7 are inside the range of 1-6. So the probability of rolling a side that's a factor of 35 will be  \frac{2}{6} = \frac{1}{3} since there are two factors and 6 possible options.

This means, logically, there is a  \frac{4}{6} = \frac{2}{3}  chance of not rolling a factor of 35.

Hope this helped!

5 0
2 years ago
A new car sells for $27,500. The value of the car decreases by 14% annually. You want to sell the car when it's worth about $400
NemiM [27]

Answer: 13 years.

Step-by-step explanation:

The price decreases by 14% anually

To find the decimal form, you have 14%/100% = 0.14

So, the year zero, the price is $27,500

After one year, the price is:

P = $27,500 - 0.14*$27500 = $27,500*(0.86)

After the second year, the price is:

P = $27,500*(0.86)^2

and so on, so we want to find x such that:

P = $27,500*(0.86)^x = $4000

0.86^x = $4000/$27,500

Now, using the natural logaritm rule:

a^x = b

x = ln(a)/ln(b)

x = ln($4000/$27,500)/ln(0.86) = 12.8

We can round it up to 13, so after 13 years the price of the car is about $4000

7 0
2 years ago
Other questions:
  • Which are vertical angles?
    6·1 answer
  • If 80 is 80% of the value what is the value?
    14·2 answers
  • The line y=kx+ b passes through points A (-1,3) and B (2,-1). Write the equation of the line.
    7·1 answer
  • The sum of three consecutive natural numbers is 450 find the numbers. The three numbers in increasing order are?
    13·1 answer
  • Pls help fast I want to see light soon!!!
    13·2 answers
  • Solve |3 - x| = 8 {-11, 11} {-5, 11} {-5, 5}
    11·1 answer
  • A circle has an area of 25pi Find the radius of the circle.<br> A. 5<br> B. 10<br> C. 25
    10·2 answers
  • A side of the triangle below has been extended to form an exterior angle of 132°. Find
    7·2 answers
  • What is the total distance from (-4,-6) (5,-6) in miles
    10·1 answer
  • It takes Skyler 10 hours to rake the front lawn while his brother, Sergio, can rake the lawn in 6 hours.  How long will it take
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!