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Masteriza [31]
2 years ago
11

A pump fills 25 of a tank in 23 hour. At this rate, how much of the tank will the pump fill in an hour?

Mathematics
1 answer:
Sophie [7]2 years ago
6 0

60% or 3/5 of the tank will be filled in an hour.

The pump will fill 2/5 of the tank in 2/3 hours.

In order to find out how much of the tank will be filled in an hour, use direct proportion and assume portion of the tank that will be filled up in an hour is x.

<em>2/5 of tank        :            2/3 hours </em>

<em>x of tank            :             1 hour </em>

Cross multiply to get:

2/3x = 2/5

x = 2/5 ÷ 2/3

x = 2/5 x 3/2

= 0.6 of the tank

= 60%

= 3/5 of tank

In conclusion, 60% of the tank will be filled in an hour.

<em>Find out more at brainly.com/question/14336804.</em>

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Marianna [84]
If the guppies multiply by four in six months then that 4 raised to the power of six. Then multiply it with the starting number of guppies which is 6Formula=4^6 (6)4096 x 6= 24576
So, there are 24, 576 guppies in six months. The answer is A.
3 0
3 years ago
A 2 liter bottle is filled completely with water from a faucet in 10 seconds. How much water was filled into the bottle each sec
telo118 [61]

Answer:

A 0.2 L water was filled into the bottle from faucet each seconds.

Step-by-step explanation:

Unit rate is defined as the rates are expressed as a quantity of 1, such as 3 feet per second or  6 miles per hour, they are called unit rates.

Given the statement: A 2 liter bottle is filled completely with water from a faucet in 10 seconds.

⇒ In 10 sec  a  2L bottle  is completely filled with water  from a faucet.

Unit rate per second =  \frac{2}{10} = \frac{1}{5} = 0.2 L

Therefore, 0.2 L water was filled into the bottle each seconds.

6 0
3 years ago
If y varies directly with x, and y = 18 when x = 4, what is the constant of proportionality?
GREYUIT [131]
Y is directly proportional to x and therefore takes the form y=kx where k is the constant of proportionality.

Dividing both sides by x for the given values, k becomes 18/4 = 4.5
3 0
3 years ago
Suppose an=3an-1 -5an-2 -4an-3. and a4= -7, a5=-36, a6=-85 , find a1 , a2, a3​
maria [59]

Answer:

        a_1=4\\\\a_2=0\\\\a_3=3

Explanation:

The equation is:

      a_n=3a_{n-1}-5a_{n-2}-4a_{n-3}

and

      a_4=-7, a_5=-36, a_6=-85

<u>1. Subsittute n = 6 into the equation:</u>

      a_6=3a_{5}-5a_{4}-4a_{3}

      Now subsititute the known values:

       -85=3(-36)-5(-7)-4a_{3}

      You can solve for a_3

      -85=-108+35-4a_{3}\\\\4a_3=12\\\\a_3=12/4\\\\a_3=3

<u />

<u>2. Substitute n = 5 into the equation:</u>

    a_5=3a_{4}-5a_{3}-4a_{2}

     Substitute the known values and solve for a_2

        -36=3(-7)-5(3)-4a_{2}\\\\4a_2=-21-15+36=0\\\\a_2=0

<u>3. Substitute n = 4 into the equation, subsitute the known values and solve for </u>a_1<u />

       a_4=3a_{3}-5a_{2}-4a_{1}

        -7=3(3)-5(0)-4a_{1}\\\\4a_1=9+7=16\\\\a_1=4

7 0
3 years ago
Write down the exact value of cos 60 degrees
Misha Larkins [42]

Answer:

.5

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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