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serg [7]
3 years ago
15

A breakfast cereal company gives away a free toy in each box of cereal. There are four different toys. How many boxes do you exp

ect to have to buy in order to get all four toys?
Mathematics
1 answer:
Ber [7]3 years ago
8 0

Answer: He can expect 4 boxes to have to buy in order to get all four toys.

Step-by-step explanation:

Since we have given that

Number of different toys = 4

According to question, A breakfast cereal company gives away a free toy in each box of cereal.

So, for each toy, there are needed 1 box.

so, for four toys, there are needed 4 boxes.

Hence, he can expect 4 boxes to have to buy in order to get all four toys.

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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}
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4 years ago
Please help with this question
VLD [36.1K]
Have you ever heard of slader.com?

3 0
3 years ago
What is the volume of a cube that has a face diagonal of 5 centimeters
Marat540 [252]
<span>Formula for volume of cube: V = a³
</span>V = (5)³ = 5<span> × </span>5<span> × </span><span>5 = 125 cm</span>³
8 0
3 years ago
X+3y=18 3x+9y=12 determine weather the graphs of each pair of equations are parallel, perpendicular, coinciding, or none of thes
MariettaO [177]

The two lines are parallel.

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3 years ago
A picture frame (see figure) has a total perimeter of 3 feet. The width of the frame is 0.64 times its length. Find the dimensio
Naya [18.7K]

Answer:

\approx 0.59\text{ ft by }0.91\text{ ft}

Step-by-step explanation:

Let \ell represent the length of the rectangle. The width can be represented as 0.64\ell.

The perimeter of a rectangle with lengths l and w is given by p=2l+2w.

Thus, we have:

2\ell+2(0.64\ell)=3,\\2\ell +1.28\ell=3,\\3.28\ell=3,\\\ell=0.91463414634\approx 0.91

The width is then 0.64(0.91463414634)=0.58536585365\approx 0.59.

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3 years ago
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