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3 years ago

Alex swims 20 minutes per day for exercise. The total

Mathematics

1 answer:

sveticcg [70]3 years ago

5 0

Answer:

e total number of minutes, m.

Step-by-step explanation:

The dependent variable is the variable in which the variable cannot stand by itself.

In this situation, the total number of minutes, m, equal 20 times the number of d.

m = 20d

d, is a variable which can be multiplied which states that it has a value, no matter what. On the other hand, m, requires d, to be there in order to have a value.

The answer is, m, the total number of minutes.

Step-by-step explanation:

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kotegsom [21]

That's not a linear system, but you have an awesome school system for giving you this problem.

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Multiply by 6xy to clear the fractions.

$30x - 12y = 13 xy$

That's a second degree equation, also known as a conic. That one happens to be a hyperbola.

$30x = y(13 x +12)$

$y = \dfrac{30x}{13 x + 12}$

Let's clear the fractions from the second equation, multiplying out common denominator xy:

$\dfrac {36} x - \dfrac {24} y = 1$

$36y - 24 x = xy$

We are being asked to find the meet of two hyperbolas, so we expect two answers, a quadratic equation.

Substituting,

$36 \left( \dfrac{30x}{13 x + 12} \right) - 24 x = x \left( \dfrac{30x}{13 x + 12} \right)$

$36(30x) -24 x(13x + 12) = 30x^2$

$1080 x - 312 x^2- 288 x = 30x^2$

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$x = 0 \textrm{ or } x=792/342 = \dfrac{44}{19}$

We have to rule out x=0 because it's in the denominator.

$y = \dfrac{30x}{13 x + 12} = \dfrac{30(44/19)}{13(44/19)+12}$

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Answer: (44/19, 33/20)

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3 years ago

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frutty [35]

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Let w be weight of emu egg in pounds.

We have been given that an ostrich egg weighs 2.9 pounds.The difference between the weight of this egg and the weight of an emu egg is 1.6 pounds.

We can represent this information as:

$2.9-w=1.6$

Therefore, the equation $2.9-w=1.6$ will give us the weight of the emu egg, w, in pounds.

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3 years ago

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Setler79 [48]

Answer:

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marin [14]

Answer:

Step-by-step explanation:

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