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KIM [24]
3 years ago
8

The city's central library has 72,864 books. The library has 72 bookcases. If each bookcase has room for the same number of book

s, how many books are there in each bookcase?
PLEASE HELP! whoever answers right gets brainliest
Mathematics
1 answer:
solong [7]3 years ago
5 0

Answer:

There are 1012 books per bookcase

Step-by-step explanation:

To find the number of books per bookcase take the number of bookcases (72) divided by the number of books (72,864)

So;

72,864 / 72 = 1012

Hope this helps!

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14.2 is 35.5% of what number W
bonufazy [111]
14.2/x=100/35.5
5.041=x 
Final
35.5% of 14.2=5.041

3 0
3 years ago
This hyperbola is centered at theorigin. Find its equation.Foci: (-2,0) and (2,0)Vertices: (-1,0) and (1,0)
beks73 [17]

SOLUTION

From the question, the center of the hyperbola is

\begin{gathered} (h,k),\text{ which is } \\ (0,0) \end{gathered}

a is the distance between the center to vertex, which is -1 or 1, and

c is the distance between the center to foci, which is -2 or 2.

b is given as

\begin{gathered} b^2=c^2-a^2 \\ b^2=2^2-1^2 \\ b=\sqrt[]{3} \end{gathered}

But equation of a hyperbola is given as

\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1

Substituting the values of a, b, h and k, we have

\begin{gathered} \frac{(x-0)^2}{1^2}-\frac{(y-0)^2}{\sqrt[]{3}^2}=1 \\ \frac{x^2}{1}-\frac{y^2}{3}=1 \end{gathered}

Hence the answer is

\frac{x^2}{1}-\frac{y^2}{3}=1

5 0
1 year ago
Consider the polynomial function g(x)=x³-3x²+6x+8. Divide g by x+1.
irina [24]

Answer:

Quotient ( x² -4x +10)

Reminder -2

Step-by-step explanation:

We have to consider the polynomial function g(x) = x³ - 3x² + 6x + 8

Now, we have to divide g(x) by (x+1)

Let us arrange the terms of g(x) to get (x+1) as common.

x³ - 3x² + 6x + 8

= x³ +x² -4x² -4x +10x +10 -2

= x² (x +1) -4x (x +1) +10 (x +1) -2

= (x +1)( x² -4x +10) -2

Hence, if we divide g(x) by (x +1) then the quotient will be ( x² -4x +10) and the reminder will be -2. (Answer)

3 0
3 years ago
Quality control studies for Speedy Jet Computer Printers show the lifetime of the printer follows a normal distribution with mea
Anika [276]

Answer:

About 3 years Speedy Jet printers be guaranteed.

Step-by-step explanation:

Given : Quality control studies for Speedy Jet Computer Printers show the lifetime of the printer follows a normal distribution with

mean \mu = 4 and standard deviation  \sigma = 0.78

If the company wishes to replace no more than 10% of the printers.

To find : How long should Speedy Jet printers be guaranteed ?

Solution :

Using Z- table,  

Z value corresponding to 10% or 0.10 = -1.28.

Applying z-score formula,

z=\frac{x-\mu}{\sigma}

The value of x is given by,

x=(z\times \sigma)+\mu

Substitute the values,

x=(-1.28\times 0.78)+4

x=-0.9984+4

x=3.0016

So, approx 3 years.

Therefore, About 3 years Speedy Jet printers be guaranteed.

8 0
3 years ago
It cost $109 per night to rent a motel room in Hampton. There is a one time $30 nonrefundable deposit required how much will it
bekas [8.4K]

Answer:

793

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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