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3 years ago

A recipe will make 10 pancakes that are 8 inches in diameter. If you decide to

1 answer:

8 0

10 pancakes produces 8 inches in diameter.
The area of 1 pancake is
Area = pi * r^2
Area = pi * 4^2
Area = 50.27 in^2
Then multiply it by 10
Total area = 502.65 in^2

A smaller pancake
Area = pi * r^2
Area = pi * 2^2
<span>Area = 12.56 in^2

Divide 502.65 by 12.56
= 502.65 / 12.65
= 39.74

So there are 39 pancakes.

</span>

You might be interested in

College alcohol and drug use: In a Washington Post/Kaiser Family Foundation poll conducted from January through March 2015, 56%

natima [27]

Answer:

D)We are 95% confident that the proportion of adults (ages 17‐26) who attended college during the past 4 years and say that alcohol and drug use at their school is a big problem is between 53% and 59%.

Step-by-step explanation:

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

In this question:

95% confidence interval is (0.53, 0.59).

This means that we are 95% sure that the true proportion for the population of adults who attended college who say that alcohol is a big problem is between 0.53 and 0.59. This means that the answer is given by option D.

8 0

2 years ago

The prices of commodities X,Y,Z are respectively x, y, z, rupees per unit. Mr. A purchases 4 units of Z and sells 3 units of X a

liubo4ka [24]

Answer:

$(x,y,z)=(1477, 1464, 1437)$

Step-by-step explanation:

Consider the selling of the units positive earning and the purchasing of the units negative earning.

Mr. A purchases 4 units of Z and sells 3 units of X and 5 units of Y
Mr.A earns Rs6000

So, the equation would be

$3x + 5y - 4z = 6000$

Mr. B purchases 3 units of Y and sells 2 units of X and 1 units of Z
Mr B neither lose nor gain meaning he has made 0₹

hence,

$2x - 3y + z = 0$

Mr. C purchases 1 units of X and sells 4 units of Y and 6 units of Z
Mr.C earns 13000₹

therefore,

$- x + 4y + 6z = 13000$

Thus our system of equations is

$\begin{cases}3x + 5y - 4z = 6000\\2x - 3y + z = 0\\ - x + 4y + 6z = 13000\end{cases}$

<u>Solving </u><u>the </u><u>system </u><u>of </u><u>equations</u><u>:</u>

we will consider elimination method to solve the system of equations. To do so ,separate the equation in two parts which yields:

$\begin{cases}3x + 5y - 4z = 6000\\2x - 3y + z = 0\end{cases}\\\begin{cases}2x - 3y + z = 0\\ - x + 4y + 6z = 13000\end{cases}$

Now solve the equation accordingly:

$\implies\begin{cases}11x-7y=6000\\-13x+22y=13000\end{cases}$

Solving the equation for x and y yields:

$\implies\begin{cases}x= \dfrac{223000}{151}\\\\y= \dfrac{221000}{151}\end{cases}$

plug in the value of x and y into 2x - 3y + z = 0 and simplify to get z. hence,

$\implies z= \dfrac{217000}{151}$

Therefore,the prices of commodities X,Y,Z are respectively approximately 1477, 1464, 1437

6 0

2 years ago

A plane intersects a triangular prism perpendicular to its bases.What 2-D cross section is formed

Andru [333]

B. triangle is formed.

3 0

3 years ago

Read 2 more answers

All i need to know is if its a function or not (I will give branliest for a good explanation)

tankabanditka [31]

Answer:

It's fine. It is a function. The language can be very convoluted. Put simply a domain value cannot have 2 different range values.

Step-by-step explanation:

The confusing part I think, is probably the fact that -1 and 1 both have an answer of 5.

That's fine. Parabolas do that and they are functions. Two different xs can have the same value. The thing that eliminates functions is when the x value (the domain) has two different y values (the range values). Then you don't have a function.

To try and make it clearer if 1 pointed at both 3 and 5 you would not have a function.

8 0

3 years ago

Can someone please help me with these math problems

yuradex [85]

Answer: 138

Step-by-step explanation:

5 0

2 years ago