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worty [1.4K]
3 years ago
6

Help plz

Mathematics
2 answers:
krok68 [10]3 years ago
6 0

Answer:

3/5

Step-by-step explanation:

1 (the goal, or amount of pages) divided by 1/3 (the number of pages he writes per 1/5 minute) = 3

Now, we can't forget that this isn't 3 minutes, it's 3/5 of a minute because you then have to multiply the answer by the time. 3 x 1/5 is equal to 3/1 x 1/5, or 3/5.

So, to summarize, every 1/5 of a minute he writes 1/3 of a page. 1/3 + 1/3 + 1/3 or 1/3 x 3 is equal to 1, or 1 whole page. 1/5 + 1/5 + 1/5 or 1/5 x 3 is equal to 3/5, or the number of minutes.

OverLord2011 [107]3 years ago
3 0

Answer:

3/5 of a minute

Step-by-step explanation:

1/3 of a page in 1/5 of a minute = 2/3 of a page in 2/5 of a minute = 3/3 (or 1) page in 3/5 of a minute.

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Miguel hiked 3miles in 54minutes. At this rate, how long will it take him to hike 5miles
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Answer:

90 minutes

Step-by-step explanation:

If it takes 54 minutes to hike 3 miles, divide 54 by 3, = 18. So it takes him 18 minutes to hike 1 mile. Multiply 18 x 5 miles = 90 minutes. Hope this helps!

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The expression is (42*7) + (14+22)
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Find, correct to four decimal places, the length of the curve of intersection of the cylinder 16x2 + y2 = 16 and the plane x + y
lubasha [3.4K]

First find a parameterization for the curve of intersection.

Given the equation of a cylinder, a natural choice for a parameterization would be one utilizing cylindrical coordinates. Here,

16x^2+y^2=16\implies x^2+\left(\dfrac y4\right)^2=1

which suggests we could use

\begin{cases}x(t)=\cos t\\y(t)=4\sin t\\z(t)\end{cases}

with 0\le t\le2\pi, and we get z(t) from the equation of the plane,

x+y+z=12\implies z(t)=12-x(t)-y(t)=12-\cos t-4\sin t

Now use the arc length formula:

\displaystyle\ell=\int_0^{2\pi}\sqrt{\left(\dfrac{\mathrm dx}{\mathrm dt}\right)^2+\left(\dfrac{\mathrm dy}{\mathrm dt}\right)^2+\left(\dfrac{\mathrm dz}{\mathrm dt}\right)^2}\,\mathrm dt

\displaystyle\ell=\int_0^{2\pi}\sqrt{\sin^2t+16\cos^2t+(\sin t-4\cos t)^2}\,\mathrm dt

\displaystyle\ell=\sqrt2\int_0^{2\pi}\sqrt{\sin^2t-4\cos t\sin t+16\cos^2t}\,\mathrm dt\approx\boxed{24.0878}

4 0
4 years ago
Albert uses 8 liters of water to wash a car and he spills an additional liter per 2 car. What would be the total amount of water
meriva
36 liters
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2 • 2 (2 liters spilled for 2 sets of 2 cars)
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3 years ago
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