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Marina86 [1]
3 years ago
10

After eating Cathy cats share a carton of milk

Mathematics
2 answers:
Fudgin [204]3 years ago
8 0
1/12 of the milk is left.
Svetllana [295]3 years ago
8 0

Answer: The left fraction is 1/12

Step-by-step explanation:

We know that, of an initially full carton, the cats drink:

(1/3 + 5/12 + 1/6) = 2/6 + 1/6 + 5/12 = 3/6 + 5/12 = 6/12 + 5/12 = 11/12

So the cats drink 11/12 of the carton of milk, this mean that the milk left over in the carton is L = 1 - 11/12 = 12/12 - 11/12 = 1/12

So the fraction left milk in the box is 1/12

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the answer is in the photo

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Can anyone help me? Will give Brainly + 15 pts
exis [7]

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1,333

Step-by-step explanation:

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6 0
3 years ago
Which is an ordered pair on the line 2.5,14 2.25,12 1.25,5 1.5,9
Savatey [412]
I would think that all but one point would be on the line.  One way to approach this problem is to find the equation of the line based upon any two points chosen at random, and then determine whether or not the other points satisfy this equation.  Next time, would you please enclose the coordinates of each point inside parentheses:  (2.5,14), (2.25,12), and so on, to avoid confusion.
                                                               14-12
slope of line thru 1st 2 points is   m = ----------------  =  2/0.25 = 8
                                                              2.50-2.25

What is the eqn of the line:     y = mx + b becomes

                                               14 = (8)(2.5) + b; find b:

14-20 = b = -6.  Then,   y = 8x - 6.

Now determine whether (12,1.25) lies on this line.  

Is 1.25 = 8(12) - 6?  Is 1.25 = 90?  No.  So, unless I've made arithmetic mistakes, (1.25, 5) does not lie on the line thru (2.5,14) and (2.25,12).

Why not work this problem out yourself using my approach as a guide? 



5 0
3 years ago
Exercise which car can travel farther on 1 gallon of gas?
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Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Find, correct to four decimal places, the length of the curve of intersection of the cylinder 4x2 1 y2 − 4 and the plane x 1 y 1
charle [14.2K]

<u>Answer-</u> Length of the curve of intersection is 13.5191 sq.units

<u>Solution-</u>

As the equation of the cylinder is in rectangular for, so we have to convert it into parametric form with

x = cos t, y = 2 sin t   (∵ 4x² + y² = 4 ⇒ 4cos²t + 4sin²t = 4, then it will satisfy the equation)

Then, substituting these values in the plane equation to get the z parameter,

cos t + 2sin t + z = 2

⇒ z = 2 - cos t - 2sin t

∴ \frac{dx}{dt} = -\sin t

  \frac{dy}{dt} = 2 \cos t

  \frac{dz}{dt} = \sin t-2cos t

As it is a full revolution around the original cylinder is from 0 to 2π, so we have to integrate from 0 to 2π

∴ Arc length

= \int_{0}^{2\pi}\sqrt{(\frac{dx}{dt})^{2}+(\frac{dy}{dt})^{2}+(\frac{dz}{dt})^{2}

=\int_{0}^{2\pi}\sqrt{(-\sin t)^{2}+(2\cos t)^{2}+(\sin t-2\cos t)^{2}

=\int_{0}^{2\pi}\sqrt{(2\sin t)^{2}+(8\cos t)^{2}-(4\sin t\cos t)

Now evaluating the integral using calculator,

=\int_{0}^{2\pi}\sqrt{(2\sin t)^{2}+(8\cos t)^{2}-(4\sin t\cos t) = 13.5191




8 0
3 years ago
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