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3 years ago

24 pencils costing a total of $3.00 how many cents per a pencil

Mathematics

2 answers:

Mkey [24]3 years ago

7 0

Answer:

The pencils cost about 13 cents a pencil.

Step-by-step explanation:

Divide 3 by 24 and you get 0.125 you can round to the nearest hundredth to get 13 cents. Also see if 12 cents is a answer if 13 cents is not available.

hram777 [196]3 years ago

3 0

Answer:

$0.125 , so 12.5 cents per pencil

Step-by-step explanation:

$\frac{3.00}{24}$

You can double check this by doing $0.125*24$ , making sure it equals 3.

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Find the exact area of the surface obtained by rotating the curve about the x-axis.

padilas [110]

$\bf \begin{cases}
y=sin\left( \frac{\pi x}{6} \right)\\
0\le x\le 6\\
\textit{about the x-axis, or }y=0
\end{cases}\\\\
-----------------------------\\\\
\textit{using the disc method}
\\\\
V=\int\limits_{0}^{6}\pi \left[ sin\left( \frac{\pi x}{6} \right) \right]^2\cdot dx\implies \pi\int\limits_{0}^{6} \left[ sin\left( \frac{\pi x}{6} \right) \right]^2\cdot dx
\\\\\\
 \pi\int\limits_{0}^{6} sin^2\left( \frac{\pi x}{6} \right) \cdot dx\\\\
-----------------------------\\\\$

$\bf \textit{now, let us check the double angle identities}
\\\\
cos(2\theta)=
\begin{cases}
cos^2(\theta)-sin^2(\theta)\\
\boxed{1-2sin^2(\theta)}\\
2cos^2(\theta)-1
\end{cases}
\\\\\\
thus\implies cos(2\theta)=1-2sin^2(\theta)\implies 2sin^2(\theta)=1-cos(2\theta)
\\\\\\
sin^2(\theta)=\cfrac{1-cos(2\theta)}{2}\qquad thus\\\\
-----------------------------$

$\bf \pi\int\limits_{0}^{6} \left[ sin\left( \frac{\pi x}{6} \right) \right]^2\cdot dx\implies 
\pi\int\limits_{0}^{6} \cfrac{1-cos\left(2\cdot \frac{\pi x}{6} \right)}{2}\cdot dx
\\\\\\
\pi\int\limits_{0}^{6}\cfrac{1}{2}dx-\pi \cdot \cfrac{1}{2}\pi\int\limits_{0}^{6}cos\left(\frac{\pi x}{3} \right)dx
\\\\\\
\left[\cfrac{\pi x}{2}-\cfrac{\pi }{2}\cdot \cfrac{sin\left(\frac{\pi x}{3} \right)}{\frac{\pi x}{3} } \right]\implies \left[ \cfrac{\pi }{2}x-\cfrac{3sin\left(\frac{\pi x}{3} \right)}{2x} \right]_0^6$

and surely, you'd know how to get the values for the bounds there

5 0

3 years ago

At a certain pizza parlor, % of the customers order a pizza containing onions, % of the customer's order a pizza containing saus

wel

Answer:

At a certain pizza parlor,36 % of the customers order a pizza containing onions,35 % of the customers order a pizza containing sausage, and 66% order a pizza containing onions or sausage (or both). Find the probability that a customer chosen at random will order a pizza containing both onions and sausage.

Step-by-step explanation:

Hello!

You have the following possible pizza orders:

Onion ⇒ P(on)= 0.36

Sausage ⇒ P(sa)= 0.35

Onions and Sausages ⇒ P(on∪sa)= 0.66

The events "onion" and "sausage" are not mutually exclusive, since you can order a pizza with both toppings.

If two events are not mutually exclusive, you know that:

P(A∪B)= P(A)+P(B)-P(A∩B)

Using the given information you can use that property to calculate the probability of a customer ordering a pizza with onions and sausage:

P(on∪sa)= P(on)+P(sa)-P(on∩sa)

P(on∪sa)+P(on∩sa)= P(on)+P(sa)

P(on∩sa)= P(on)+P(sa)-P(on∪sa)

P(on∩sa)= 0.36+0.35-0.66= 0.05

I hope it helps!

5 0

3 years ago

You are watching a commercial on television for the newest sandwich at ur favorite fast food chain.what type of promotion are u

zheka24 [161]

You are watching an advertisement

4 0

3 years ago

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Masteriza [31]

The unit rate would be 11/2. Hope this helped.

3 0

3 years ago

Can you find the rate of change for the following function: -6x + 3y =9?

IgorC [24]

Answer:

The general rate of change can be found by using the difference quotient formula. To find the average rate of change over an interval, enter a function with an interval:

f ( x ) = x ^2 , [ 2 , 3 ]

The rate of Change is 2

Step-by-step explanation:

7 0

2 years ago

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