Find the least common denominator for each of these fractions then complete the equation until it equals 1.

Common factor is 30
u/5 = 6u/30
u/10 = 3u/30
-u/6 = -5u/30

6u/30 + 3u/30 - 5u/30 = 1
4u/30 = 1
4u = 30
u = 7.5

8 0

3 years ago

se necesita llenar un galon de agua,en 2 litros se tarda 30 minutos.cuantos litros me hacen falta para completar el galon y cual

mariarad [96]

Answer: 1.78 L are needed to complete the gallon and it will take 29.66 min to completely fill it

Step-by-step explanation:

The question in english is:

A gallon of water needs to be filled, in 2 liters it takes 30 minutes. How many liters do I need to complete the gallon and what is the time it takes me to fill it?

We know 1 gallon is equal to 3.78 liters:

$1 gal=3.78 L$

In addition, we are told you have filled the gallon with $2 L$ at a rate of $\frac{2 L}{30 min}=0.06 L/min$ .

So, if we want to know how many liters are left to completely fill the gallon, we have to sbstract the $2 L$ to the total amount of a gallon:

$3.78 L-2 L=1.78 L$ This is the amount you need to complete the gallon

On the other hand, the rate is defined as:

$rate=\frac{Liters}{time}$

Isolating $time$ :

$time=\frac{Liters}{rate}$

Then, if we input the $1.78 L$ we need to fill the gallon we will have the time:

$time=\frac{1.78 L}{0.06 L/min}$

$time=29.66 min$ This is the time you need to fill the gallon

6 0

3 years ago

What is the opposite of 1/2??

irakobra [83]

Answer:

-1/2 is the opposite

Step-by-step explanation: -x is the opposite for number x, whatever x is

3 0

2 years ago

Evaluate each expression using the values m = 7, r = 8, and t = 2.

Lyrx [107]

Answer:

Step-by-step explanation:

For addition and subtraction, use the standard + and - symbols respectively. For multiplication, use the * symbol. A * symbol is not necessary when multiplying a number by a variable. For instance: 2 * x can also be entered as 2x. Similarly, 2 * (x + 5) can also be entered as 2(x + 5); 2x * (5) can be entered as 2x(5).

4 0

2 years ago