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nadezda [96]
3 years ago
6

Maddy is carrying a 555 liter jug of sports drink that weighs 7.5\text{ kg}7.5 kg7, point, 5, start text, space, k, g, end text.

She wants to know how many kilograms a 222 liter jug of sports drink would weigh (w)(w)left parenthesis, w, right parenthesis. She assumes the relationship between volume and weight is proportional.
Mathematics
1 answer:
Georgia [21]3 years ago
6 0

Answer:

3

Step-by-step explanation:

It was right on Khan Academy

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Answer:16 coins and x+y

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2 years ago
The length of the longer leg of a right triangle is 4 inches more than twice the length of the shorter leg. the length of the hy
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The Pythagorean's Theorem for our situation would look like this:

shortleg^2+longleg^2=hypotenuse^2

So let's call the short leg s, the long leg l and the hypotenuse h. It appears that all our measurements are based on the measurement of the short leg. The long leg is 4 more than twice the short leg, so that expression is l=2s+4; the hypotenuse measure is 6 more than twice the short leg, so that expression is h=2s+6. And the short leg is just s. Now we can rewrite our formula accordingly:

s^2+(2s+4)^2=(2s+6)^2

And of course we have to expand. Doing that will leave us with

s^2+4s^2+8s+8s+16=4s^2+12s+12s+36

Combining like terms we have

5s^2+16s+16=4s^2+24s+36

Our job now is to get everything on one side of the equals sign and solve for s

s^2-8s-20=0

That is now a second degree polynomial, a quadratic to be exact, and it can be factored several different ways. The easiest is to figure what 2 numbers add to be -8 and multiply to be -20. Those numbers would be 10 and -2. Since we are figuring out the length of the sides, AND we know that the two things in math that will never EVER be negative are time and distance/length, -2 is not an option. That means that the short side, s, measures 10. The longer side, 2s+4, measures 2(10)+4 which is 24, and the hypotenuse, 2s+6, measures 2(10)+6 which is 26. So there you go!

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3 years ago
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Step-by-step explanation:

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Two lines and a point are guaranteed to be coplanar if the two lines share only a single point.

Hope this helped :)
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3 years ago
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