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Neporo4naja [7]
3 years ago
13

A tank with capacity T gallons is empty. If water flows into the tank from pipe X at the rate of X gallons per minute, and water

is pumped out by pipe Y at the rate Y gallons per minute, and X is greater than Y, in how many minutes will tank be filled?
Mathematics
1 answer:
Andrej [43]3 years ago
6 0

A tank with capacity T gallons is empty. Tank will be filled in \frac{t}{(x - y)} minutes

<u>Solution:</u>

Given, A tank with capacity T gallons is empty.  

We have to find how many minutes will tank be filled?

Now, Water flows into the tank from pipe X at the rate of X gallons per minute,  

And water is pumped out by pipe Y at the rate Y gallons per minute,  

Then, together in one minute the amount of water filled will be x – y gallons  [as X is greater than Y]

Now, the time take to fill tank = =\frac{\text { capacity of tank }}{\text { amount of water filled per minute }}=\frac{t}{x-y}

Hence tank will be filled in \frac{t}{(x - y)} minutes

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Greg build a new pond which has a volume of 7.35m3. It is 4.2m long and 50cm deep. What is the width of the pond?
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Volume = length * width * depth
width = Volume / (length * depth)
width =  7.35 / (4.2 * .5)
width =  3.5 meters

Double Check
Volume = 4.2 *.5 *3.5 = <span> <span> <span> 7.35 </span> </span> </span> cubic meters correct !!



6 0
3 years ago
When 9 Superscript two-thirds is written in simplest radical form, which value remains under the radical?
salantis [7]

Answer:

  3

Step-by-step explanation:

9^{\frac{2}{3}}=(3^2)^{\frac{2}{3}}=3^{\frac{4}{3}}=3\cdot 3^{\frac{1}{3}}\\\\=3\sqrt[3]{3}

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3 years ago
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What is the solution to -x2 + 5x - 3
CaHeK987 [17]

The solution to the equation is x=\frac{5-\sqrt{13}}{2} and x=\frac{5+\sqrt{13}}{2}

Explanation:

Given that the equation is -x^2+5x-3=0

We need to determine the solution of the equation.

The solution of the equation can be determined using the quadratic formula.

The quadratic formula is given by

x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

Hence, from the equation, we have,

a=-1,\:b=5,\:c=-3

Substituting these values in the quadratic formula, we get,

x=\frac{-5\pm \sqrt{5^2-4\left(-1\right)\left(-3\right)}}{2\left(-1\right)}

Simplifying, we get,

x=\frac{-5\pm \sqrt{25-12}}{-2}

Simplifying the terms within the root, we get,

x=\frac{-5\pm \sqrt{13}}{-2}

Thus, the roots of the equation are x=\frac{-5+ \sqrt{13}}{-2} and x=\frac{-5- \sqrt{13}}{-2}

Taking out the negative sign, we get,

x=\frac{-(5- \sqrt{13})}{-2} and x=\frac{-(5+ \sqrt{13})}{-2}

Cancelling the negative sign, we get,

x=\frac{5-\sqrt{13}}{2} and x=\frac{5+\sqrt{13}}{2}

Thus, the solutions of the equation are x=\frac{5-\sqrt{13}}{2} and x=\frac{5+\sqrt{13}}{2}

7 0
3 years ago
 
Misha Larkins [42]

Answer:

It's 130.66, D

Step-by-step explanation:

:)) yw

8 0
3 years ago
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A circular rug has a radius of 4 feet. Which of the following is the closest to the number of square inches the rug covers?
Mashcka [7]

Answer:

B. 50.24

Step-by-step explanation:

to find the area of a circle you need to use the formula

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since the radius is 4 we put that into the equation, lets use 3.14 for pi

a=(4)²×3.14

always do exponents first

a=16×3.14

a=50.24

8 0
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