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myrzilka [38]
3 years ago
15

In a​ week,13 hens laid 91 eggs. What is the unit rate for eggs per​ hen?

Mathematics
1 answer:
Nina [5.8K]3 years ago
5 0

Answer:1

Step-by-step explanation:

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A conical vessels with base radius 5 cm and height 24cm is full of water this water is emptied into a cylindrical vessel of base
Aliun [14]

Answer:

2\ cm

Step-by-step explanation:

We\ are\ given\ that,\\Radius\ of\ the\ conical\ vessel=5\ cm\\Height\ of\ the\ conical\ vessel=24\ cm\\Hence,\\As\ we\ know\ that,\\Volume\ of\ a\ cone=\frac{1}{3}\pi r^2h\\Hence,\\The\ volume\ of\ the\ conical\ vessel=\frac{1}{3}\pi (5)^224=  \frac{1}{3}\pi 25*24=200\pi \\Hence,\\The\ volume\ of\ the\ conical\ vessel=The\ amount\ of\ water\ filled\ in\ it\\Hence,\\The\ amount\ of\ water\ filled\ in\ the\ conical\ vessel=200\pi\\Lets\ consider\ the\ cylindrical\ vessel:\\Volume\ of\ a\ cylinder=\pi r^2h

As\ we\ are\ not\ said\ that\ the\ cylindrical\ vessel\ was\ empty,\ let\ its\ initial\\ height\ be\ h_1\\Radius\ of\ the\ Cylindrical\ vessel=10\ cm\\Initial\ height\ of\ the\ cylindrical\ vessel=h_1\\Initial\ volume\ of\ the\ cylindrical\ vessel=\pi *10^2*h_1=100h_1\pi \\Initial\ amount\ of\ water\ in\ the\ cylindrical\ vessel=100h_1\pi \\Hence,\\Final\ amount\ of\ water\ in\ the\ cylindrical\ vessel=Final\ amount\ of\ water\\ in\ the\ cylindrical\ vessel +Amount\ of\ water\ in\ conical\ vessel

Hence,\\Final\ amount\ of\ water\ in\ the\ cylindrical\ vessel=100h_1\pi +200\pi \\Now,\\Let\ the\ final\ height\ be\ h_2\\Hence,\\Final\ amount\ of\ water\ in\ the\ cylindrical\ vessel=\pi *10^2*h_2=100h_2\pi \\Hence,\\100h_2\pi =100h_1\pi +200\pi \\Hence,\\100h_2=100h_1+200\\100h_2-100h_1=200\\100(h_2-h_1)=200\\h_2-h_1=2\\Hence,\\As\ the\ rise\ in\ level\ is\ the\ difference\ between\ the\ initial\ and\ final\\ heights:\\The\ rise\ in\ level\ of\ water=2\ cm

8 0
3 years ago
What would you do to solve the equation below?
solmaris [256]

Answer:

add 3 to both sides of the equal sign

Step-by-step explanation:

to solve the equation you would have to add three

that is because you have to do inverse operations

and you would add because the opposite of subtracting is adding

so solving it would look like this

x - 3 = 12

  +3   +3

x = 15

this is how you check the answer:

15 - 3 = 12

    +3   +3

6 0
3 years ago
What are the values of the digits 4,432
Neporo4naja [7]
4000 + 400 +30 + 2 or four thousand -four hundred -thirty two.
5 0
3 years ago
Write 6/9=a/b in simplest form
kobusy [5.1K]

Answer:

2/3 = a/b

Step-by-step explanation:

6/9 = a/b

2/3 = a/b

8 0
3 years ago
Which of the following hypothetical scenarios best describes a scenario where approximation by the binomial distribution is most
VladimirAG [237]
<span>A binomial distribution is the discrete probability distribution of the number of successes in a sequence of independent experiments, each asking a yes/no question, and each with an outcome that has a random variable containing single bit of information. So, an example would be A: Find the probability of selecting a red ball from a vase containing red, green, and yellow balls after selecting two yellow balls without replacement.</span>
4 0
3 years ago
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