A librarian has 883 books to place on shelves. Each shelf holds 98 books.
How many books will be left over after filling as many shelves as possible?

Answer:

1

Step-by-step explanation:

8*12=96

96*3=288

4*12=48

48*2=96

96/96=1

Answer:3

Step-by-step explanation:

Im assuming you meant 8ab/2bc

So adding all the numbers you'll have

8x3x12/2x12x4

You first reduce the 12 in the fractions making it

8x3/2x4

and then you reduce the 8 and 2 making it 4

so you'll have

4x3/4

One last time you reduce the two fours making the

answer: 3

Answer:

Pentagon a = 4.9 in. s = 7.1 in. /l ;/ >cvr'-. ~ j-?.1· '19~~. 5) Octagon a = 20.8 m s= 17.2m. ,4 ~;.>a-rt. ::: i, 17. z • t~f "g. ~ :::::, l'/?1 ,0 nt z, ... What is the length of the apothem to the nearest whole number

Step-by-step explanation:

Pentagon a = 4.9 in. s = 7.1 in. /l ;/ >cvr'-. ~ j-?.1· '19~~. 5) Octagon a = 20.8 m s= 17.2m. ,4 ~;.>a-rt. ::: i, 17. z • t~f "g. ~ :::::, l'/?1 ,0 nt z, ... What is the length of the apothem to the nearest whole number

Answer:

(-1, 0)

I will solve your system by substitution.

(You can also solve this system by elimination.)

2x+y=−2;−3x+2y=3

Step: Solve2x+y=−2for y:

2x+y+−2x=−2+−2x(Add -2x to both sides)

y=−2x−2

Step: Substitute−2x−2foryin−3x+2y=3:

−3x+2y=3

−3x+2(−2x−2)=3

−7x−4=3(Simplify both sides of the equation)

−7x−4+4=3+4(Add 4 to both sides)

−7x=7

−7x

−7

=

7

−7

(Divide both sides by -7)

x=−1

Step: Substitute−1forxiny=−2x−2:

y=−2x−2

y=(−2)(−1)−2

y=0(Simplify both sides of the equation)

Answer:

I believe the answer would be 9

Step-by-step explanation:

I am sorry if I am wrong let me know.

Answer:

150.72

Step-by-step explanation:

8 x 6 x 3.14 = 150.72

Answer:

150.72

radius times pi

then you have the value of the inside

times it by the height

and you have the volume

Answer:

Pedro had a gain of 1.2%

Step-by-step explanation:

Percentages

Pedro bought two cars. One for $600,000 and the other for $400,000.

He sold the first car at a 10% profit. Thus the gain was:

$600,000 * 10 / 100 = $60,000

He sold the other car at a 12% loss. Thus the loss was:

$400,000 * 12 / 100 = $48,000

The total gain or loss was $60,000 - $48,000 = $12,000

Since it's positive, the total balance is at gain.

The total investment was $600,000 + $400,000 = $1,000,000

The total gain is a percentage of the total investment of:

$12,000 / $1,000,000 * 100 = 1.2%

Pedro had a gain of 1.2%

Answer:

The standard error of the mean remains unchanged.

Step-by-step explanation:

Given that:

The standard error (S.E) of the mean [tex]= \dfrac{\sigma}{\sqrt{n}}[/tex] with is independent of confidence coefficient.

The margin of error [tex]E = z \times S.E[/tex]

This explains the claim that as the confidence coefficient reduces, the z-value also reduces, so as the Margin of error (E) but the standard error will always remain unchanged.  

i.e.

From the question;

sample size n = 100

standard deviation = 1

mean = 3.0

The standard error (S.E) of the mean [tex]= \dfrac{1}{\sqrt{100}}[/tex]

= 0.1

So, if the confidence coefficient is reduced to 0.80, the standard error of the mean remains unchanged.

Answer:

0.60515

Step-by-step explanation:

Given that:

Population proportion p = 0.9

Sample size = 64

Probability that sample proportion is more Than 0.89

P(p" > 0.89)

(p" - p) ÷ sqrt(p(1 - p) /n)

P(Z > p")

P(Z > (0.89 - 0.9) ÷ sqrt(0.9(1 - 0.9) /64))

P(Z > (-0.01) ÷ sqrt(0.9 * 0.1) / 64))

P(Z > (-0.01) / sqrt(0.00140625))

P(Z > - 0.26667) = 0.6051

Using the Z probability calculator :

P(Z > - 0.26667) = 0.60515

Answer: 12.20

Step-by-step explanation:

because if 6.10 is the amount for one pound, then if u need 2 pounds, then multiply 6.10 with 2.

Answer:

Cantaloupe = $6, peach=$5

Step-by-step explanation:

[tex]8x+3y=63\\2x+3y=27\\[/tex]

Subtract the first one from the second one

[tex]8x-2x+3y-3y=63-27\\6x=36\\x=6\\[/tex]

Plug in:

[tex]2(6)+3y=27\\12+3y=27\\3y=15\\y=5[/tex]

Hope this helps plz hit the crown :D

Answer:

it will take 1/5 of a day for Amir to catch up to Jesse

Step-by-step explanation:

30x = 35x - 1

30x - 35x = - 1

-5x = -1

-5x/-5 = -1/-5

x = 1/5

Answer: brainliest pls

1. y = 35x

2. y = 30x + 1

3. y = 35x

   y = 30 x + 1

4. Its more convenient to substitute y because It's easier.

    35x = 30(x + 1)

5.  35x = 30x + 1

    35x = 30x + 30

    35x -30x = 30

    5x = 30

    x = 6    (30/5 = 6)

    35 x 6 = 210 (y)

6. Both people have read 210 pages and it takes amir 6 days to catch up.

Step-by-step explanation:

Answer:

1.) 60 students

11.) kindly check attached picture

Step-by-step explanation:

Given that:

Total number of students = n(Total) = 180

Number who participate in sport = n(Sport) = 120

Number who participate in both = n(Sport n Music) = 40

Number who participate only in Music =?

Let number who participate in Music = x

Hence, n(Music only) = x - 40

n(Sport only) = 120 - 40 = 80 students

Summing all should give us n(total)

n(sport only) + n(sport n music) + n(music only) = 180

80 + 40 + (x - 40) = 180

80 + 40 + x - 40 = 180

80 + x = 180

x = 180 - 80

x = 100 students

Therefore,

n(Music only) = x - 40 = 100 - 40 = 60 students

Answer: X = 57.5

Step-by-step explanation:

3x - 65 + x + 15 = 180

4x - 50 = 180

4x = 230

x = 57.5

Answer:

3x-65 degrees

Step-by-step explanation:

Since the angles are vertical angles, y should equal the same value of the corresponding angle.

Answer:

From the graph,

it is clear that the slope and y-intercept  have been changed.

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where m is the slope and b is the y-intercept

Given the equation of a line

y = 7x + 3

comparing with a slope-intercept form of the line equation

y = mx+b

Here,

The slope = m = 7

y-intercept  = b = 3

Now, the equation changed to y = 2x + 6

y = 2x + 6

comparing with a slope-intercept form of the line equation

y = mx+b

Here,

The slope = m = 2

y-intercept  = b = 6

Thus, if the equation was changed to y = 2x + 6, the slope and y-intercept also get changed from m = 7 to m = 2 and b = 3 to b = 6 respectively.

The lines of both equations is also attached.

From the graph,

it is clear that the slope and y-intercept  have been changed.

Answer:

C) The vectors are orthogonal because the angle between them is 90°.

Step-by-step explanation:

got it right on edge :)

The vectors are orthogonal because the angle between them is 90°. Option C is correct.

A vector is a quantity with a magnitude, and direction that follows the law of vector addition.

Given data;

u = ⟨1, 0⟩

v= ⟨0, –3⟩

The angle between the vector is found by the formula as;

[tex]\rm cos \theta = \frac{u,v}{|u||v|} \\\\ cos \theta = \frac{(1 \times 0) + (0 \times -3)}{\sqrt{1^2+(-0^2)+\sqrt{0^2+(-3)^2}}} \\\\ cos \theta = 1 \\\\ \theta = cos^{-1}1\\\\ \theta = 90^0[/tex]

Hence option C is correct.

To learn more about vectors, refer;

https://brainly.com/question/13322477#SPJ2

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Answer:

Randall: 44, Amy: 35

Step-by-step explanation:

Four years ago, their age added up to 71. Since four years have passed and they've each grown four years older since then, their ages added up together is 79. Here is the equation for Amy: x + (x + 9) = 79. We can simplify to get 35. Now we add 9 to 35 to get Randall's age. So, Amy's age is 35 and Randall's age is 44, and 35 + 44 = 79.

The slope and the intercept of both lines are the same. Because of that, the lines are identical.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

Given that Darren graphs the linear equations y=-2/5x+3 and 2x+5y=15. Write both equations in the slope-intercept form and compare.

The general form of the equation of the line is:-

y = mx + c

y=-2/5x+3

Solve the equation to form their general form.

2x+5y=15.

5y = 15 - 2x

y = ( 15 / 5 ) - 2 / 5x

On comparing the two lines it is observed that the lines are having the same slope and intercept.

Therefore, the slope and the intercept of both lines are the same. Because of that, the lines are identical.

To know more about an equation of the line follow

brainly.com/question/18831322

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Answer:

6 yards 2 feet

Step-by-step explanation:

3 feet per yard making 9 yards and one foot = 28 feet

subtract 8 feet = 20 feet

6 yards 2 feet

Answer:

Step 1: Solve one of the equations for one of the variables. Let's solve the first equation for x

Thus, option A) is true.

The solution to the system of equations be:

[tex]x = 4, y = 5[/tex]

Step-by-step explanation:

It is important to remember that when we solve the system of equations, the first step we need to do is to solve one of the equations for one of the variables.

Given the system of equations

[tex]x - y = -1[/tex]

[tex]2x - y = 3[/tex]

Step 1: Solve one of the equations for one of the variables. Let's solve the first equation for x

[tex]x-y=-1[/tex]

Add y to both sides

[tex]x-y+y=-1+y[/tex]

[tex]x=-1+y[/tex]

Thus, option A) is true.

NOW LET US SOLVE THE REMAINING PORTION

[tex]\mathrm{Subsititute\:}x=-1+y[/tex] to solve for y

[tex]\begin{bmatrix}2\left(-1+y\right)-y=3\end{bmatrix}[/tex]

[tex]-2+y=3[/tex]

[tex]y=5[/tex]

For x = -1 + y

substitute y = 5

[tex]x=-1+5[/tex]

[tex]x=4[/tex]

Thus, the solution to the system of equations be:

[tex]x = 4, y = 5[/tex]

Answer:

150

Step-by-step explanation:

There is no way to write 150 in simplest form

that is the only way to write it unless you 2ant to write it like this 150/1

Answer:

Step-by-step explanation:

Answer: 1. heading and subheading

2. subheading

3. point-by-point

Step-by-step explanation:

Answer:

The 90% confidence interval would be  narrower than a 95% confidence interval

Step-by-step explanation:

From the question we are told that

  The 95% confidence interval is  0.69 to 0.91.

Generally the width of a confidence interval is dependent on the margin of error

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

Here we see that

           [tex]E \ \ \alpha \ \  Z_{\frac{\alpha }{2} } [/tex]

    Here  [tex]Z_{\frac{\alpha }{2} } [/tex]  is the critical value of half of the level of significance .

    This value increase as the value of confidence level increase and vise versa

So for 90% confidence interval , the confidence level is  90% , hence the value of  [tex]Z_{\frac{\alpha }{2} } [/tex]  will decrease  which will in turn decrease the value of E , hence the width of the interval will reduce

So the 90% confidence interval is narrower than a 95% confidence interval when the sample proportion or sample mean is constant

Answer:

72.13

Step-by-step explanation:

If you bought a stock last year for a price of $79, and it has gone down 8.7% since then, how much is the stock worth now, to the nearest cent?​

Answer:

67.55 rounded to the nearest cent.

Step-by-step explanation:

The answer is 67.55 because since 100% minus 8.7% is 85.5% and 85.5% of 67.55 is 67.55 rounded.

Answer:

vkigiots88558s,utt8z85a85a5s85t8s84

Answer:

a. She uses 2.5 ounces per personal pizza

b. At this rate, she will need 37.5 ounces of cheese to make 15 pizzas

Step-by-step explanation:

a. 10/4= 2.5

b. (2.5)x15= 37.5

Answer:

Systematic Sampling

Step-by-step explanation:

Systematic sampling is one of the types of probability sampling method. It is an advanced form of simple random sampling. In this form, from the population of members, sample members are selected randomly. In this random selection, a starting point is fixed. The sample is created when the members are selected from the fixed intervals.  

In the given excerpt, systematic sampling method has been used. Here, the sample has been created by selecting every third listed phone member. The interval has been created between in the sample size.

Answer:

The game system is 145, and the games cost 435.

Step-by-step explanation:

4x = 580

580/4=145

145x3=435 which is the cost of the games.

145 is the cost of the game system.

Answer:

angle P measures 40 degrees

Step-by-step explanation:

triangle with 2 equal sides has 2 equal angles also (isosceles triangle)

if angle Q is 70, then R is 70

sum of all interior angles of a triangle is 180; therefore, angle P must be 180-140

Answer:

61

Step-by-step explanation:

7×6 = 42

42+ 19 = 61 Sorry if I'm wrong I tried

Answer: 19.8 acres

Step-by-step explanation:

multiply 54.8 by .35 to get 19.18