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
Carl has three lengths of cable, 5/6 yard long, 1/4 yard long, and 2/3 yard long. If he uses 1 yard of cable, how much cable is
Dafna1 [17]
He would have 9/12 yards left over because you have to create a common denominator which would be 12. so for 5/6 you would multiply by 2 so you have 10/12. 1/4 you have to multiply by 3 so you get 3/12. and 2/3 you have to multiply by 4 so you get 8/12. then you add them 10/12+3/12+8/12 = 21/12 which simplifies to 1 9/12 and because he used 1 yard he is left with 9/12.
final answer: 9/12 yards
3 0
3 years ago
The fountain is made up of two semicircles and a quarter circle. Find the perimeter and the area of the fountain. Round the peri
Andrej [43]
FOUND THE COMPLETE QUESTION IN ANOTHER SOURCE.ATTACHED IMAGE.
 For this case what we have is the following:
 For the two semicircles we can model it as a complete circle.
 We have to then:
 
 Perimeter: 
 P = 2 * pi * r
 or
 P = pi * d
 Where,
 r = radius
 d = diameter
 Therefore the perimeter is:
 P = 10 * pi
 For the largest circle we have:
 radius = 10
 Perimeter:
 P '= 2pi10
 P '= 20pi
 1/4 since 1/4 circle:
 P '' = 20pi / 4 = 5pi
 Then, the total perimeter of the source is:
 Pt = P + P '' = 10pi + 5pi = 15pi
 Pt = 15 * (3.141592)
 Pt = 47.1239
 round
 Pt = 47.1 ft

 Area:
 The total area will be:
 A = A (two semicircles) + A (quarter big circle)
 A = (pi / 4) * (d ^ 2) + (1/4) * pi * r ^ 2
 A = (pi / 4) * ((10) ^ 2) + (1/4) * pi * (5) ^ 2
 A = 98.17477042 feet ^ 2
 Round:
 A = 98.2 feet ^ 2

 Answer: 
 Perimeter of the source: 
 Pt = 47.1 ft 
 Area of the source: 
 A = 98.2 feet ^ 2

5 0
3 years ago
Please help What is the domain of the following function?
enot [183]

Answer:

Let's use these two sets given to explain what is the domain.

Each value from the left set is x, and from the right is f(x).

If we plug any x from the left set in the function, we'll get f(x)  that corresponds to it and that's exactly what the arrows are showing.

Domain of the function is, basically, a set of all values x can have.

In this case, it's easy to see, those are all members of the left set (-6, 1, 5, 8), but sometimes this set can have lots and lots of members, even infinity.

8 0
3 years ago
9 – 4x = 2x whats the ancewer
zmey [24]

Answer:

3/2 is the answer

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Find the slope of the line that passes through (10,7) and (1,9)
Simora [160]

Answer:

Step-by-step explanation:

Use the slope formula

(x2-x1)/(y2/y1)

substitute the values

(1-10)/(9-7)

solve

-9/-2

simplify

9/2 or 4.5

6 0
3 years ago
Other questions:
  • A man buys 12 shirts at $24.69 each. There is a 6% sales tax. Find his bill.
    7·2 answers
  • Jennifer receives $100 and puts it into her savings account. She adds $0.25 to the account each day for a number of days, d, aft
    8·2 answers
  • Slope and point on line of the equation y - 6= 3(x-5)
    15·1 answer
  • Trigonometry please help!
    14·1 answer
  • A square pyramid is made up of a base with a side length of 10 inches and faces that are triangles with a height of 12 inches. W
    15·2 answers
  • the diameter of a cylindrical construction pipe is 4 ft. if the pipe is 19 ft long, what s it’s volume?
    11·1 answer
  • We could use all the help we can get. I can't find the Khan academy videos associated with my work and I'm struggling. any help
    14·1 answer
  • List the sides of the triangle ABC from smallest to largest using the information below. *
    13·1 answer
  • Watch help video
    11·1 answer
  • Simply the expression a = -3; b = 9<br> -7a + 4b<br><br> 46?<br> -15?<br> 15?<br> 57?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!