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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Answer:
B. False
Step-by-step explanation:
There is not enough information to make that conclusion. The two statements are completely unrelated, so the transitive property cannot be used. None of the given statements say that ABC is congruent to MNO or PQR. That means that nothing can be assumed about DEF. To use the transitive property you would need proof that ABC=MNO or ABC=PQR. But neither of those statements are there so the answer is false.
You would have to subtract 5 on both sides to isolate the variable.
-3x + 5 < 23
- 5 - 5
------------------
-3x < 18
divide both sides by -3.
-3x < 18
x > -6
Hope this helped!
Step-by-step explanation:
The Pythagorean theorem can be understood as a mathematical relationship between the sides of a right triangle that helps to understand geometric problems in real situations, such as finding measurements, calculating areas, etc.
The theorem says that the square of the hypotenuse is equal to the sum of the squares on the other sides.
In a right triangle the hypotenuse is the longest side of the triangle, on the side opposite to its longest angle, and the other two sides will be the sides. So the Pythagorean theorem formula is:
a² = b² + c²
where a represents the hypotenuse and b and c the other sides.
<span><span>220<span> cm2</span>/s </span>
EXPLINATION</span>
L length of rectangel (cm)
W width of rectangel(cm)
A area of rectangel (cm²)
T time (s)
we are told that:
d1\dt=8cm\s(const),and dw\dt =3cm\s(const)
the area of the rectangel is
A=LW
Differentiating wrt t (using the product rule) we get;
<span><span><span>dA</span><span>dt</span></span>=<span>(l)</span><span>(<span><span>dw</span><span>dt</span></span>)</span>+<span>(<span><span>dl</span><span>dt</span></span>)</span><span>(w)</span></span>
∴<span><span>dA</span><span>dt</span></span>=3l+8w
So when <span>l=20</span><span> and </span><span>w=10⇒</span>
<span> <span><span>dA</span><span>dt</span></span>=3⋅20+8⋅20</span>
<span>∴<span><span>dA</span><span>dt</span></span>=60+160</span>
<span>∴<span><span>dA</span><span>dt</span></span>=220<span> cm2</span>/<span>s</span></span>
