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gladu [14]
3 years ago
7

a winery has a vat with two pipes leading to it. the inlet pipe can fill the vat 7 hours, while the outlet pipe can empty it in

10 hours. how long will it take to fill the vat if both pipes are left open?
Mathematics
1 answer:
raketka [301]3 years ago
6 0
Lets say, for ease, that the vat can hold a total of 70 gallons (or whatever you would like to use.) Use whatever number you want, I just picked this because it gives us a lot of clean numbers. 

Now, if the inlet can fill it in 7 hours, that means that it is adding 10 gallons per hour. (70 gal/7 hours = 10 gal/hr)

For the outlet, use the same process, and you find that it drains the vat at 7 gallons per hour. 

So, if you subtract the outlet from the inlet, you get 10 - 7 = 3 gallons per hour added. 

Now just divide the size of the vat by that number, and you find your answer. 

70 gallons / 3 gallons per hour = 23 1/3 hours. 
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Jasmine took a cab home from her office. The cab charged a flat fee of $4, plus $2 per mile. Jasmine paid $32 for the trip. How
vaieri [72.5K]
To solve, make an equation. The equation would be
$32 = 4 + 2x
x represents the miles driven
to solve, subtract 4 from each side of the equation.
$32-4 = 4-4 + 2x
The equation is now 
$28 = 2x
Now you divide by 2 on each side.
$28 ÷ 2 = 2x ÷ 2
simplify
14 = x
The answer is 14 miles
3 0
3 years ago
How do you convert a whole number to a fraction?
Maslowich

Answer:

Step-by-step explanation:

Example 1: Changing the whole number 5 into a fraction.

Take the whole number (5), add a line below it (/), then add a 1 to the denominator.

5 = 5/1

Example 2: Changing the whole number 5 into a fraction.

Take the whole number (5), multiply it by 2 add a line below it (/), then add a 2 to the denominator.

5 = (5*2)/2 = 10/2

***This can be reduced to 5/1***

Example 3: Changing the whole number 5 into a fraction.

Take the whole number (5), multiply it by 3 add a line below it (/), then add a 3 to the denominator.

5 = (5*3)/3 = 15/3

***This can also be reduced to 5/1***

If you follow the pattern, you will realize all whole numbers are fractions already.

They are fractions with a denominator of 1. This fraction can be manipulated with all of the same standard rules you would traditionally use with fractions, even when the denominator isn’t shown.

A fraction is simply a way to describe portions of a whole. The denominator simply tells you how many pieces to break the whole into. When the denominator is 1, you are breaking the whole into one piece (or not breaking it apart at all.

I hope this helps.

8 0
3 years ago
How many solutions?​
jeyben [28]

Answer:A) no solutions

Step-by-step explanation:

1) set both problems equal to each other

2) subtract four from each side

3) subtract 2x from each side

4) 10 does not equal 0

3 0
2 years ago
Read 2 more answers
The distance between the cities Chicago and Toronto is 540 miles. A motorcycle's speed is 48 mph. For a car, it takes 2.25 hours
serious [3.7K]

Answer:

5 hours

Step-by-step explanation:

given :

Distance between the cities = 540 miles

Speed of motorcycle =48 mph

TO CALCULATE THE TIME TAKEN BY MOTORCYCLE TO COVER THE TOTAL DISTANCE WE USE THE FORMULA :

\frac{DISTANCE}{SPEED}

By putting given values in the formula we get :

\frac{540}{48}

= 11.25 hours

Now, We are given that for a car to cover the same distance it takes 2.25 hours less than the time taken by motorcycle

⇒ 11.25 hours - 2.25 hours

⇒ 9 hours

Thus , Time taken by car to cover the same distance is 9 hours .

Now to calculate speed of car by using formula:

\frac{distance}{time}

\frac{540}{9}

= 60 mph

Let t be the time taken to meet if they start moving towards each other.

So distance covered by motorcycle in t hours is

speed\times time

= 48t miles

Distance covered by car in t hours is

speed\times time

= 60t miles

⇒ 60t + 48t =540

⇒ 108t = 540

⇒ t= 5 hours

Therefore, time taken to meet if they start moving towards each other is 5 hours.





7 0
3 years ago
Audrey had $20 and brought him for $1.10, a soda for $.99, and a bag of chips for $3.98. how much money does she have left
topjm [15]
 The correct answwere is that he  has $14.13 left 
3 0
3 years ago
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