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
weeeeeb [17]
3 years ago
7

An indoor water park has two giant buckets that slowly fill with 1000 gallons of water before dumping it on the people below. On

e bucket dumps water every 16 minutes. The other bucket dumps water every 14 minutes. It is currently 3:25 P.M. and both buckets dumped water 5 minutes ago. Find the next two times that both buckets dump water at the same time.
First time: P.M
Mathematics
2 answers:
soldier1979 [14.2K]3 years ago
6 0
16 min bucket will drop at 3:36 and 14 min bucket will drop at 3:31
Kazeer [188]3 years ago
4 0

Answer:

The next two times that both buckets dump water at the same time are 5:12 P.M. and 7:04 P.M.

Step-by-step explanation:

To find out the next two times both buckets dump water at the same time we first must find the least common multiple (LCM) between the period it takes for each bucked to dump water, that is, LCM (14,16).

The numbers can be decomposed as 2 x 7 and 2 x 8, therefore, the LCM is:

LCM(14,16) = 2*7*8=112

Since the last time that both buckets dumped water at the same time was 3:20 P.M., to discover when they will simultaneously dump water again we should add 112 minutes(1 h 12min) to the last time it happened:

T_{1}= 3:20 + 1:52 = 5:12 PM

The same can be done to find next time that it will happen  again:

T_{2}= 5:12 + 1:52 = 7:04 PM

The next two times that both buckets dump water at the same time are 5:12 P.M. and 7:04 P.M.

You might be interested in
Three functions are given below: f(x), g(x), and h(x).
Rzqust [24]

Answer: The axis of symmetry is x=1.

Explanation:

The given function is,

g(x)=5x^2-10x+7

The degree of the equation is 2.  SInce it is a quadratic function therefore the graph of the function is a parabola.

The axis of symmetry of a parabolic function f(x)=ax^2+bx+c is a vertical line,

x=-\frac{b}{2a}

Since the value of a is 5m b is -10 and c is 7, So the axis of symmetry is,

x=-\frac{(-10)}{2(5)}

x=\frac{10}{10}

x=1

Therefore, the axis of symmetry is x=1.

5 0
3 years ago
What is the total surface area of the right regular pyramid with a square base?
allsm [11]

Answer:

106ft by 2

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The length of a rectangle is four times its width. If the perimeter of the rectangle is 20 feet, how many feet long is the recta
Gemiola [76]
Largeur = x
longueur = 4 x 

2 ( x + 4 x) = 20
2 x + 8 x = 20 
10 x =20
x = 2

largeur  = 2 et longueur = 8
8 0
3 years ago
What is 1/4 divided by 6
lidiya [134]
1/4 divided by 6 equals:

0.0416666667

<span>Hope that helps and correct me if I'm wrong!</span>
8 0
3 years ago
Read 2 more answers
(5ab-4a-8)-(9ab-5) its an online geometry class,please help!i provided you 10 pts
Bumek [7]
(5ab-4a-8)-(9ab-5)
Ok just remember that the minus sign before the (9ab-5) is like a minus 1 so it changes the sign inside the bracket...
>>5ab-4a-8-9ab+5
>>-4ab-4a-3
I'm guessing you just have to leave it like that unless there are other parts to the question or whatever but that's that simplified as far as it can be!
7 0
3 years ago
Other questions:
  • Here’s my dilemma, I can accept a $1000 bill or play a game ten times. For each roll of the single die, I win $500 for rolling 1
    10·1 answer
  • What multiplys to be 1 but adds up to be 4
    11·1 answer
  • What is the value of n in the equation below?
    10·2 answers
  • Solve 5x − 6y = −38 <br> 3x + 4y = 0
    13·1 answer
  • Howard's and Rajesh's income are listed below. How many hours would they have to work in order to earn the same amount of money?
    12·1 answer
  • Kei buys a table and 12 chairs. Each chair cost the same price. The table cost $165. The total cost for the table and 12 chairs
    12·2 answers
  • Which statement below accurately describes the data in the table?
    13·1 answer
  • Simplify this expression<br> (7)(2x-5)
    14·1 answer
  • uppose you start at the origin, move along the x-axis a distance of 7 units in the positive direction, and then move downward al
    13·1 answer
  • There are 276 students.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!