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3 years ago

7

2 movie tickets and 1 popcorn cost $29.4 movie tickets and 4 popcorns cost $68. So how much would 3 movie tickets and 5 popcorns

cost?

1 answer:

Arisa [49]3 years ago

4 0

Answer:

3 movie tickets would cost 44.8 5 popcorns would cost 85

Step-by-step explanation:

29.4 divided by 2 equals 14.7

29.4 plus 14.7 equals 44.8

68 divided by 4 17

68 plus 17 equals 85

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Implicit differentiation of 1/x +1/y=5 y(4)= 4/19<br> y'(4)=?

Aneli [31]

$\frac{1}{x} +\frac{1}{y} = 5\\\\x^{-1}+y^{-1}=5\\$

Above, I changed the fraction form of x and y into exponential form so it is easier to see the differentiation. Now, we can differentiate:

$-1x^{-2}+-1y^{-2}\frac{dy}{dx}=5\\\\\frac{-1}{x^2}-\frac{1}{y^2}\frac{dy}{dx}=5\\\\-\frac{1}{y^2}\frac{dy}{dx}=5+\frac{1}{x^2}\\\\\frac{dy}{dx}=-5y^2-\frac{y^2}{x^2}$

Now that we have dy/dx, we can plug in the x, which is 4, and the y, which is 4/19. We know these values of x and y because your question stated y(4) = 4/19.

$\frac{dy}{dx}=-5(\frac{4}{19})^2-\frac{(\frac{4}{19})^2}{(4)^2}\\\\\frac{dy}{dx}=-5(\frac{16}{361})-\frac{(\frac{16}{361})}{16}\\\\\frac{dy}{dx}=\frac{-80}{361}-\frac{1}{361}\\\\\frac{dy}{dx}=\frac{-81}{361}$

5 0

4 years ago

Leo multiplied all numbers from 1 to 11 and wrote the answer on the board. During the break three digits were erased 39,9...6,8.

Pavlova-9 [17]

11! = 39,916,800

The erased digits are 1, 0, 0.

6 0

3 years ago

Sonya can walk 6 kilometers in 3 hours. If she has to walk 10 kilometers, how much time will it take her?

ELEN [110]

6 divided by 2 is 3 kilometers.
Therefore, divide 10 by 2 which will get you 5 kilometers.

Sonya can walk 10 kilometers in 5 hours.

6 0

3 years ago

What is 1,634÷19 in division?

erik [133]

86

86*10= 860
86*9= 774
860+774= 1634

5 0

3 years ago

8s+4(4s-3)=4(6s+4)-4

elena55 [62]

Answer:

There is no solution.

5 0

3 years ago