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Gnoma [55]
2 years ago
11

There are two containers of milk. There is twice as much milk in the first container as in the second. After using 2 gal. of mil

k from the second container and 3 gal. of milk from the first container, the second container had 4.5 times less milk than the first. How many gallons of milk were in both containers originally?
Mathematics
2 answers:
lara [203]2 years ago
8 0
Set equations for both containers:
Condition one: $y=2x$
Condition two: $(y-3)=4.5(x-2)$
plug in $y$ from condition one into the second equation:
$2x-3=4.5x-9$
simplify gives: $2.5x=6$
$\boxed{x=2.4}$
$\boxed{y=4.8}$
Black_prince [1.1K]2 years ago
4 0

Answer:

4.8 gallons in the first container, 2.4 in the second container.

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A boy who is flying a kite lets out 300 feet of string which makes an angle of 60o with the ground. Assuming that the string is
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<h3><u>Answer</u> :</h3>

See the attachment for better understanding.

<u>G</u><u>i</u><u>v</u><u>e</u><u>n</u><u> </u>: Length of string (AC) = 300ft

<u>T</u><u>o</u><u> </u><u>F</u><u>i</u><u>n</u><u>d</u><u> </u>: Height of the kite from ground (AB)

:\implies\sf\:sin60^{\circ}=\dfrac{AB}{AC}

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:\implies\sf\:H=\dfrac{300\sqrt{3}}{2}

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:\implies\:\boxed{\bf{\red{H\approx 260\:feet}}}

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