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
iren [92.7K]
3 years ago
15

It takes four minutes to fill a bathtub if the hot and cold water taps are both on and the stopper is in. It takes six minutes t

o empty the tub if the taps are off and the stopper is out. How long does it take to fill the tub if both taps are on and the stopper is out?
Mathematics
1 answer:
bekas [8.4K]3 years ago
3 0

Answer:

12 minutes

Step-by-step explanation:

Since it takes 4 minutes to fill the bathtub with both taps on and stopper is in then for each minute the 2 taps can fill up to a quarter (1/4) of the tub:

Similarly, it takes 6 minutes to drain the tub with both taps off and the stopper is out. This means for each minute the stopper can drain one sixth (1/6) of the tub.

Therefore, when both taps are on and the stopper is out, then for each minutes, the amount of water remaining in the tub is the water flowing in minus the water draining out

\frac{1}{4} - \frac{1}{6} = \frac{3}{12} - \frac{2}{12} = \frac{1}{12}tub

So for each minute, one twelveth of the tub is filled, for the tub to be completely filled in, it would take 12 minutes

You might be interested in
Oceanside Bike Rental Shop charges a 16 dollar fixed fee plus 7 dollars an hour for renting a bike. Nancy paid 51 dollars to ren
maks197457 [2]
The correct answer is 5 hours
7 0
2 years ago
At a pumpkin patch, if Armando guesses the weight of his pumpkin within 0.3 pounds, he gets to take the pumpkin home for free. I
Reil [10]

Answer: last option

Step-by-step explanation:

You know that the weight of his pumpkin 4.9 pounds and that, if he guesses its weight within 0.3 pounds, he will get the pumpkin for free.

Then, to find the minimum weight he can guess  in order to get his pumpkin for free, it's necessary to write the expression:

x-0.3=4.9

Rewriting it:

x-4.9=0.3

To find the maximum weight he can guess  in order to get his pumpkin for free, it's necessary to write the expression:

x+0.3=4.9

Rewriting it:

x-4.9=-0.3

7 0
3 years ago
Read 2 more answers
2.4 + 5.4q – 4.5q + 3.6<br><br> a.6+1.1q<br> b.9.9q+6<br> c.0.9q+6<br> d.9.9q-6
Yuri [45]
You have to add the same kind of terms, in this case the ones that have a variable (5.4q and -4.5q) and the ones that don't (2.4 and 3.6), like this:

(5.4q - 4.5q) + (2.4 + 3.6) = 0.9q + 6

The answer is c. 0.9 +6

8 0
3 years ago
Robert takes a roast out of the oven when the internal temperature of the roast is 165°F. After 15 minutes, the temperature of t
faust18 [17]

Step-by-step explanation:

Rate of drop of temperature = Change in temperature/Rate

=> (165 - 135)/15

=> 30/15

=> 2 ⁰F/min

Now, The time at which the temperature of will be 70⁰F = 70/Rate

=> 70/2

=> 35 min

Time for 110⁰ F

=> 110/2

=> 55 min

6 0
2 years ago
Help with 19??????????
Luba_88 [7]

Adding Integers

If the numbers that you are adding have the same sign, then add the numbers and keep the sign.

Example:

-5 + (-6) = -11

Adding Numbers with Different Signs

If the numbers that you are adding have different (opposite) signs, then SUBTRACT the numbers and take the sign of the number with the largest absolute value.

Examples:

-6 + 5= -1

12 + (-4) = 8

Subtracting Integers

When subtracting integers, I use one main rule and that is to rewrite the subtracting problem as an addition problem. Then use the addition rules.

When you subtract, you are really adding the opposite, so I use theKeep-Change-Change rule.

The Keep-Change-Change rule means:

Keep the first number the same.

Change the minus sign to a plus sign.

Change the sign of the second number to its opposite.

Example:

12 - (-5) =

12 + 5 = 17

Multiplying and Dividing Integers

The great thing about multiplying and dividing integers is that there is two rules and they apply to both multiplication and division!

Again, you must analyze the signs of the numbers that you are multiplying or dividing.

The rules are:

If the signs are the same, then the answer is positive.

If the signs are different, then then answer is negative.

6 0
3 years ago
Other questions:
  • Select the mathematical terms that mean "opposite of". A. reciprocal. B. negative. C. additive inverse. D. multiplicative E. inv
    8·2 answers
  • If Sonia practices piano for 1/3 of an hour each day,how long will she have practiced in a week
    8·1 answer
  • Please do this I don’t know how to please
    7·2 answers
  • How many tons are in 1,400 pounds?
    9·2 answers
  • What is 3x + 5 = -x -7
    11·1 answer
  • 98 POINTS ONE GEOMETRY QUESTION PLEASE ANSWER!!!!!!!!!!!!!!!!!!!!!!!!
    8·2 answers
  • Here are the dimensions of the oven tray Jenny bakes the cakes on. Each cake tin is 25 cm in diameter. How many cake tins can Je
    7·1 answer
  • Put these fractions from least to greatest please!! 2/3 7/12 17/24 3/4
    5·1 answer
  • 28 + b = 35<br><br> what does b equal?<br> b=
    6·1 answer
  • can anyone help solve this with a detailed explanation so my older sister can find out how to do it ​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!