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2 years ago

10% of a water tank fills every 5 minutes. If you are filling a 40 gallon tank, how many gallons will there be in 30 minutes

Mathematics

1 answer:

Lisa [10]2 years ago

7 0

By using cross mutliplication, there are 24 gallons in the water tank after 30 minutes.

<h3>How to estimate the filling time of a water tank by cross multiplication</h3>

According to the statement the water tank is full at constant rate, 10 % tank capacity per each 5 minutes. The tank has a capacity of 40 gallons. The gained capacity is determined by the following cross multiplication, where the water capacity is directly proportional to filling time:

x ∝ t

x = (n / 100) · V × (T / t) (1)

Where:

n - Initial capacity percentage of the water tank, in percentage.
V - Full capacity of the water tank, in gallons.
T - Final time, in minutes.
t - Initial time, in minutes.

x = [0.1 · (40 gal)] × (30 min / 5 min)

x = 24 gal

There are 24 gallons in the water tank after 30 minutes.

To learn more on cross multiplication: brainly.com/question/15209325

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3 years ago

A rectangular piece of plywood has a diagonal which measures two feet more than the width. The length of the plywood is twice th

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let l be the length and w be the width of the rectangle respectively;

Diagonal(D) of a rectangle is given by:

$D = \sqrt{l^2+w^2}$ ......[1]

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Diagonal(D) = width + 2

and

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Now, substitute these in [1] we have;

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$4w^2= 4w + 4$

Simplify:

$w^2-w-1 =0$ ......[2]

The quadratic equation is in the form of $ax^2+bx+c = 0$

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On comparing with [1] we get

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Then the solution is:

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3 years ago

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The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean.

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Therefore, for the case above;

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3 years ago