A A color printer prints 23 pages in 8 minutes.
How many minutes does it take per page?

9514 1404 393

Answer:

  10.49

Step-by-step explanation:

Since we know 110 = 10² +10, we can make a first approximation to the root as ...

  √10 ≈ 10 +10/21 . . . . . where 21 = 1 + 2×integer portion of root

This is a little outside the desired approximation accuracy, so we need to refine the estimate. There are a couple of simple ways to do this.

One of the best is to use the Babylonian method: average this value with the value obtained by dividing 110 by it.

  ((220/21) + (110/(220/21)))/2 = 110/21 +21/4 = 881/84 ≈ 10.49

An approximation of √110 accurate to hundredths is 10.49.

__

The other simple way to refine the root estimate is to carry the continued fraction approximation to one more level.

For n = s² +r, the first approximation is ...

  √n = s +r/(2s+1)

An iterated approximation is ...

  s + r/(s +(s +r/(2s+1)))

The adds 's' to the approximate root to make the new fraction denominator.

For this root, the refined approximation is ...

  √110 ≈ 10 + 10/(10 +(10 +10/21)) = 10 +10/(430/21) = 10 +21/43 ≈ 10.49

_____

Additional comment

Any square root can be represented as a repeating continued fraction.

  [tex]\displaystyle\sqrt{n}=\sqrt{s^2+r}\approx s+\cfrac{r}{2s+\cfrac{r}{2s+\dots}}[/tex]

If "f" represents the fractional part of the root, it can be refined by the iteration ...

  [tex]f'=\dfrac{r}{2s+f}[/tex]

__

The above continued fraction iteration adds 1+ good decimal places to the root with each iteration. The Babylonian method described above doubles the number of good decimal places with each iteration. It very quickly converges to a root limited only by the precision available in your calculator.

Answer:

B. Alternate interior angles

Step-by-step explanation:

Answer:

2:1  or  2

Step-by-step explanation:

*** (Ratios can be written as " a : b", or can be written as a fraction " a / b".

 >> therefore 10/5 can be simplified to 2/1 )***

    For every 10 notebooks, there are 5 ballpens.

    Therefore, for every 2 notebooks there is 1 ballpen (The simplification).

EXTRA:  

**Also remember that the ratio of notebooks to ballpens cannot be reversed into ballpen to notebook ratio, because this would change the meaning.

  2/1 is not the same as 1/2 **

Answer:

4          /           6                   or 2/3

pecan           total tree

Answer:

2/3

Step-by-step explanation:

So, Bill planted -

Pecan trees = 4

Apple trees = 2

Total trees = 6

We want the fraction of Pecan trees. Thus,

4/6

Where 4 is Pecan trees, (What we want)

And 6 is the total.

4/6 in its simplest form is 2/3.

I hope it helps.

Answer:

Three hundred thousand

Step-by-step explanation:

Hope this helps

Answer:

x = -1, y = 2

Step-by-step explanation:

6x + 5y = 4

6x - 7y = -20

We already have a similar leading coefficient (6 for X), so we just subtract equation 1 from equation 2 to get:

12y = 24

Now solve normally:

y = 2

Then substitute into the first equation (or second, it doesn't matter)

6x + 10 = 4

6x = -6

x = -1

Answer: 1.075s

Step-by-step explanation:

s*175/100=1.075s

Answer:

A. 1/3 pound

B. 11/3 or 3.666666667

Step-by-step explanation:

:)

Answer:

i need the question

Step-by-step explanation:

Answer:

-6.4 is GREATER.

The number closest to 0 is greater.

Answer:

20

Step-by-step explanation:

A common denominator is a number that is a multiple of both denominators.

To find it just write the multiplication table of the numbers and find a number that appears in both of them.

In this case, we have 4 and 5:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40

5, 10, 15, 20, 25, 30, 35, 40, 45, 50

Since it only asks for a common denominator, it can be 20, 40, 60, 80... Although it's usually smarter to pick the lower number.

[tex]1\dfrac 34 =1+ \dfrac 34 =\dfrac 74 = \dfrac{35}{20}\\\\\\1\dfrac 45 = 1+ \dfrac 45 = \dfrac 95 =\dfrac{36}{20}\\\\\text{The answer is 20}[/tex]

Answer:

250

Step-by-step explanation:

You can take the explicit formula and simply substitute the n value with 64:

-2 + 4 * (64 - 1)

-2 + 4 * (63)

-2 + 252

250

Answer:

90π

Step-by-step explanation:

282.74 / π

282.74 / 3.14159 = 90

282.74 = 90π

To answer this question, you would need to divide the total amount of cereal in the box by the serving size.

This would be 12 2/3 divided by 1 1/3.

We can write each mixed number as an improper fraction first before we divide:12 2/3 = 38/3 and 1 1/3 = 4/3

Now divide 38/3 by 4/3. Recall that dividing by a fraction is accomplished by multiplying by the reciprocal of the divisor: 38/3 * 3/4 = 114/12 = 38/4 OR 19/2

Also, 19/2 is equivalent to 9 and 1/2. There would be 9 and 1/2 servings in the box of cereal.

Hope this helps

Answer:

-369

Step-by-step explanation:

Replace r with 10.

9(-3(10)-10))

9(-30-11)

9*-30+9*-11

-270+ -99

-369

Hope this helped. :)

Answer:

[tex] \frac{x + 4}{3x(x + 1)} \\ [/tex]

Step-by-step explanation:

[tex] \frac{ {x}^{2} + 10x + 24 }{3 {x}^{2} + 3x} \div (x + 6) \\ \frac{ {x}^{2} + 4x + 6x + 24}{ 3x(x + 1)} \times \frac{1}{(x + 6)} \\ \frac{x( x+ 4) + 6(x + 4)}{3x(x + 1)} \times \frac{1}{(x + 6)} \\ \frac{(x + 4)(x + 6)}{3x(x + 1)} \times \frac{1}{(x + 6)} \\ \frac{(x + 4)}{3x(x + 1)} \\ [/tex]

Answer: the finished equation is (x+4)/3x*(x+1), so fill in one in the green square

Step-by-step explanation: it worked for me, the explanation is very long, but I would recommend using tiger algebra for a very detailed step by-step explanation, hope I could be a help

Answer:

quadangle

Step-by-step explanation:

a square made of triangles and If a triangle is called a triangle, why is a square not called a quadangle?

Squares and triangles can be combined to form a pentagon

The two shapes are given as:

Where the base of the square equals the side length of the triangle

When these shapes are combined i.e. when the base of the triangle is merged with the side length of the square, then it forms a pentagon.

See attachment for the image of the new shape.

From the attached image, we can see that the shape has 5 sides

Read more about pentagons at:

https://brainly.com/question/9317617

Step-by-step explanation:

The first step is to Know the condition for two lines be parallel is that have the same slope, and this form the slope given is 2, therefore the new function has its slope too

2)  with the slope and the two points givens, you can find the equation

Y-Y1 = m( X-X1) ,   Y-6 = 2[(X-(-3)]  ⇒Y-6 = 2X+6 ⇒Y = 2X+12, AND THIS IS THE EQUATION PARALLEL TO THE LINE Y = 2X-7

Answer:

at most 17 pitches per inning

Step-by-step explanation:

It is given that a baseball pitcher makes 53 pitches in the first 4 innings of a game and plans to pitch in the next 3 innings.

We need to write and solve an inequality to find the possible average pitches per inning the pitcher made in the next 3 innings if the pitcher is assigned a maximum of 105 pitches.

From part (a) we know  3 p + 53 3p+53 represents the total number of pitches made if the pitcher makes an average of  p pitches per inning in the next 3 innings.

If the pitcher can make at most 105 pitches, then:

3 p + 53 ≤ 105 3p+53≤105 ​  

To solve the inequality, first subtract 53 on both sides of the inequality to isolate the variable term:

3 p + 53 − 53 ≤ 105 − 53 3 p ≤ 53      

3p+53≤105 [tex]p\leq 17\frac{1}{3}[/tex]

at most 17 pitches per inning

​

(Hope this helps can I pls have brainlist (crown)☺️)

Answer:

Just go to the 6 on the bottom line, and add a point

Answer:

see below

Step-by-step explanation:

(6,0)

 The first coordinate is the x coordinate.  Since it is positive we go to the right 6 units.  The second coordinate is the y coordinate.  We go up zero units

Answer:

They are both the same.

Step-by-step explanation:

-2.875

7/8 = 0.875 thus -2 7/8 is equal to -2.875

Answer:

  16^25

Step-by-step explanation:

The applicable relation is ...

  (a^b)^c = a^(bc)

  2^100 = 16^x = (2^4)^x = 2^(4x)

Equating exponents, we have ...

  100 = 4x

  25 = x

Then 2^100 = 16^25.

Answer:

It's 7 I just did this question today and got it right

Answer:

5 + 4 = 9

x × x = X2

3 + 2 = 5

9/x + 5 = 2

Answer:

5/x+3+4/x+2=2

=9/x+5=2

9/x=-3

Multiply both sides by x

9= -3x

Divide by -3

Answer x=  -3

Hope this helps

Answer:

[tex]-6\leq x\leq 6[/tex]

Step-by-step explanation:

This is answer for the last question.

A secured loan would most likely be used to pay for a car, the correct option is B.

We are given that;

The four options

Now,

A secured loan is a loan that is backed up by collateral pledged by the borrower, such as a car or property.

The lender can sell the collateral to cover repayment of the loan if the borrower defaults.

Car, since it is a common type of collateral for secured loans.

College, groceries and a phone are less likely to be used as collateral for secured loans, since they are either intangible, perishable or low-value assets.

Therefore, by loan the answer will be car.

Learn more about loan payment here:

https://brainly.com/question/4234016

#SPJ2

there you go the answer is in the picture

You don't mention what's the question

Answer:

The population was 3040 people in 8 years.

Step-by-step explanation:

find unit rate;

3800/10 = 380

380 x 8 = 3040