James is reading a book and noticed the page numbers are consecutive integers whose product is 1640. What is the value of the larger page number?

Answers

Answer 1

Answer:

41

Step-by-step explanation:

A pair of consecutive numbers is written as: N and N + 1

(where the larger page number is N + 1)

And we know that the product of these numbers is 1640.

Then:

(N)*(N + 1) = 1640

Solving for N, we get:

N^2 + N = 1640

N^2 + N - 1640 = 0

This is a quadratic equation, remember that for a general quadratic equation:

a*x^2 + b*x + c = 0

The solutions are:

[tex]x = \frac{-b\pm \sqrt{b^2 - 4*a*c} }{2*a}[/tex]

In our case, the solutions are:

[tex]N = \frac{-1 \pm \sqrt{(1)^2 - 4*1*(-1640)} }{2} = \frac{1 \pm 81}{2}[/tex]

Then the two solutions are:

N = (-1 + 81)/2 = 40

N = (-1 - 81)/2 = -41

Because N represents the number on a page, it only can be a positive value, then we take the positive solution.

Then the two consecutive numbers, N and N + 1

are:

N = 40

N + 1 = 41

The value of the larger page number is 41.


Related Questions

I WILL GIVE BRAINLIEST PLEASE HELP FULLY (pt 2)

2. Mauricio plans on retiring in 20 years, and he wants to double his money by that time. He has contacted various banks, looking for a CD that compounds interest monthly, and to calculate what annual interest rate he needs, he is using the rule of 72. (3 points: Part I – 1 point; Part II – 1 point; Part III – 1 point)
Part I: What is the rule of 72? To represent the annual interest rate, use r.
Part II: What equation can Mauricio set up to solve for the annual interest rate he needs to double his money by the time he retires?

Part III: What annual interest rate does Mauricio need to double his money by the time he retires?

Answers

Answer: What expression can Melanie write to figure out how much her ... Mauricio plans on retiring in 20 years, and he wants to double his money by that time. He has contacted various banks, looking for a CD that compounds interest monthly, and to calculate what annual interest rate he needs, he is using the rule of 72.

Step-by-step explanation: I did what I could man

which of with of the following would be the most appropriate unit to weigh a single medicinal pill

Answers

Answer:

hi, I need the weights provided in the question to answer this question

solve for x and y x+y=a;x-y=b

Answers

Answer:

x = a + b - a/ 2

y = - b - a/ 2

Step-by-step explanation:

Some one please help me get the answer
If you get it correct, I will give you a lot of points

Answers

Answer:186

Step-by-step explanation:

when the base of a ladder is placed 10ft away from the base of a building, the top of the ladder touches the building at 18ft above the ground. About how long is ladder?

Answers

35 feet i think i’m not sure

what is the length of AC

Answers

Answer:

16

Step-by-step explanation:

30 is what percent of 500

Answers

Answer:

6%

Step-by-step explanation:

30/ 500  =   x/100

30*100= 3,000

3,000 /  500 = 6

it would be 6% hope this helps

No Solutions
2x + 9 + 3x + x =
One Solution
2x + 9 + 3x + x =
x +
Infinitely Many Solutions
2x + 9 + 3x + x =

Answers

Answer:

.

Step-by-step explanation:

Find measure of angle WZY.

Answers

Answer:

the answer is 4

Step-by-step explanation:

8x-1=5x+11

3x=12

x=4

Find the least common multiple of 6c^3 and 15y

Answers

Answer:

The answer is 30c^3y

Step-by-step explanation:

The LCM is the smallest number that all the numbers can divide in.

Brianna has a balance of $8,000 on her credit card. After talking to a financial advisor, Brianna decided to get a loan from the bank and discontinue using her credit card. The bank will charge Brianna 3.5% interest. Which of the following could be used to calculate the total repayment on Brianna’s loan after 4 years if she has a monthly payment of $178.85?

A. 4(178.85)

B. 4(12)(178.85)

C. 4(12)(178.85) − 8000

D. 4(8000)(0.035)

Answers

I think C is your answer

HELP THE TEACHER IS ASKING FOR MY ANSWERS CUZ I WAS SUPPOSED TO DO IT AND I NEVER WAS PREPARED PLSSS HELP IM NEXT PLS DRAW IT FOR MEE :( EVEN IF ITS EDITED I WOULD APPRECIATE TYSM HAVE A GOOD DAY! (And if u don’t know 1 u don’t have to do both only one but pls try :(

Answers

Answer:

Hey I did a few for you :)

Step-by-step explanation:

Hope this helps!

Have a nice day<3

A broker charges 70 per square foot to install windows how much does it cost to install the windows shown

Answers

XjsikJvenrmbrvr d vetch tmtvtntbrxctvy ft rvrnhwksixucjmevectvtggt

What do the signs need to be to multiply to get a positive and add to get a negative ?

Answers

The answer would be Two negative

what two numbers multiply to 16 and add to -10?​

Answers

Answer:

-2 and -8

Step-by-step explanation:

-2 x -8 = 16

-2 + -8 = -10

Answer:

1 and -16

Step by step:

1 x -16 = -16

1 + (-16) = -15

ABC is a right triangle. calculate the length of side BC (the hypotenuse)​

Answers

Answer:

we have

C=(2,-1)

B=(-2,3)

since

BC is hypotenuse

length of BC=√[(-2-2)²+(3+1)²]=√32=4√2 units is your answer

easy algebra question below first correct answer gets brainliest if you put a link you will be blocked and reported

Answers

Answer:

option d is the correct answer

2. A jeweler bought an antique watch for $500. He then sold it in his store $850. What was the percent of change in the price of the watch? Show work here A. 41.2% decrease B. 41.2% increase C. 70% decrease D. 70% increase​

Answers

Answer:

70% increase

Step-by-step explanation:

Some answers on this app be useless asfff bro .. like no I’m not finna go to ur bitly link and download the answer file, we all know that sh!! Is a virus wish .Just answer the darn questions I don’t got the time I’m literally struggling in fron of my computer and u can’t even give a decent answer .. smh this is my rant so dw

Answers

Answer:

da.mn im sorry....not rlly sorry bc i didnt do anything to u but yh.

Step-by-step explanation:

what do I do and how​

Answers

The answer is 12. If f equals 10 plus 7 then that is 12

Answer:

f(x) is another way of saying "y", but when x is replaced with a number, it just means that x = that number.

Since A says to find f(7), it means that in this scenario, x = 7. So, 2x - 5 is turned into 2(7) - 5, which equals 14 - 5, which equals 9.

So, f(7) = 9.

You can then apply this to the rest of the numbers you are given.

I hope this helps! :)

5. y=12
Point:
Slope:
What are or is the point. And what’s the slope

Answers

Answer:

Slope=0

Step-by-step explanation:

Point=Y

Keiko uses 6.9 pints of blue paint and white paint to paint her bedroom walls. 2/5 of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls?

Answers

Answer: [tex]4.14\ \text{pints}[/tex]

Step-by-step explanation:

Given

Keiko uses 6.9 Pints of blue and white paint

If the fraction of blue paint is [tex]\frac{2}{5}[/tex], then thr fraction of white paint is

[tex]1-\dfrac{2}{5}=\dfrac{3}{5}[/tex]

Amount of white paint is

[tex]\Rightarrow \dfrac{3}{5}\times 6.9=4.14\ \text{pints}[/tex]

What is the advantage of valence number?​

Answers

Answer:

The presence of many unpaired electrons in the valence shell of an atom enables it to form multiple bonds with other atoms. The paired electrons present in the valence shell do not take participate in the formation of chemical bonds as per the valence bond theory.

Derrick started a new job at McDonald's. He makes $10 per hour. Which
equation models his total weekly earnings y, in terms of the number of
hours he works x? *

Answers

Answer:

10x=y.

Step-by-step explanation:

10 represents the amount he earns an hour. X represents the number of hours so 10x. 10 times the amount of hours equals y (total amount of money)

Answer:

y = 10x

Step-by-step explanation:

The total earnings, y, is equal to the hourly rate, 10, times x, the hours worked.

y equals 10 times x, or, in equation form, y = 10x.

I hope this helps ^^

Multiply and simplify.

3/7 x 5/9

Answers

Answer:

[tex]\frac{5}{21}[/tex]

Step-by-step explanation:

1)  [tex]\frac{3}{7} *\frac{5}{9}[/tex]

Reduce the numbers with the greatest common factor : 3

2)  [tex]\frac{1}{7} *\frac{5}{3}[/tex]

Multiply the fractions.

3)  [tex]\frac{5}{21}[/tex]

In a congressional district, 55% of the registered voters are Democrats. Which of the following is closest to the probability of getting less than 50% Democrats in a random sample of size 100?
Is this an example of a sample proportion OR a sample mean?

Answers

Answer:

sample mean

Step-by-step explanation:

Using the normal distribution and the central limit theorem, considering that this is a sample proportion, as we are dealing with percentages, it is found that there is a 0.1562 = 15.62% probability of getting less than 50% Democrats in a random sample of size 100.

Normal Probability Distribution

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sample proportions of a proportion p in a sample of size n has mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex].

In this problem:

55% of the registered voters are Democrats, hence [tex]p = 0.55[/tex].A sample of size 100 is taken, hence [tex]n = 100[/tex]

The mean and the standard deviation of the sampling distribution of sample proportions are given by:

[tex]\mu = p = 0.55[/tex]

[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.55(0.45)}{100}} = 0.04975[/tex]

The probability of getting less than 50% Democrats in a random sample of size 100 is the p-value of Z when X = 0.5, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.5 - 0.55}{0.04975}[/tex]

[tex]Z = -1.01[/tex]

[tex]Z = -1.01[/tex] has a p-value of 0.1562.

0.1562 = 15.62% probability of getting less than 50% Democrats in a random sample of size 100.

To learn more about the normal distribution and the central limit theorem, you can take a look at https://brainly.com/question/24663213

BRAINIEST TO WHOEVER RIGHT

Answers

Answer:

median is 8 it's always the middle, play the elimination game

y=13 is a solution to the inequality y+4<16

Answers

Answer:

No

Step-by-step explanation:

First subtract 16 from both sides

y + 4 < 16y + 4 - 16 < 16 - 16y - 12 < 0                  So 0 has to be greater than whatever is on the leftIf y = 13 is put into the inequality you get 13 - 12 < 0.What is ultimately true is that 1 < 0 Is 1 smaller than 0?No

13 is not a solution to the original inequality.

cuanto es la raiz cuadrada de 123

Answers

Answer:

11.0905365064

11.1 (rounded)

Step-by-step explanation:

[tex]\sqrt{123} =11.090[/tex]

Answer:

Step-by-step explanation:

11.0905365064

What two numbers multiply to get 18 but add to get -12

Answers

Answer:

-6+3[tex]\sqrt{2}[/tex] and -6-3[tex]\sqrt{2}[/tex]

Step-by-step explanation:

xy = 18

x+y = -12

y = -12-x

substitution method:

x(-12-x) = 18

-12x - x² - 18 = 0

-x² - 12x - 18 = 0

-(x² + 12x + 18) = 0

used quadratic formula:

(-12±√144 - 4(18)) ÷ 2

(-12 ± [tex]\sqrt{72}[/tex]) ÷ 2

(-12 ± 6[tex]\sqrt{2}[/tex]) ÷ 2

= -6 ± 3[tex]\sqrt{2}[/tex]

Other Questions
What is a folktale? The following is a list of various costs of producing T-shirts. Classify each cost as either a variable, fixed, or mixed cost for units produced and sold.a. Ink used for screen printing Variableb. Warehouse rent of $8,000 per month plus $0.50 per square foot of storage used Mixedc. Thread Variabled. Electricity costs of $0.038 per kilowatt-hour Variablee. Janitorial costs of $4,000 per month Fixedf. Advertising costs of $12,000 per month g. Accounting salaries h. Color dyes for producing different colors of T-shirts Variablei. Salary of the production supervisor j. Straight-line depreciation on sewing machines Fixedk. Salaries of internal pattern designers l. Hourly wages of sewing machine operators Variablem. Property taxes on factory, building, and equipment Fixedn. Cotton and polyester cloth o. Maintenance costs with sewing machine company (the cost is $2,000 per year plus $0.001 for each machine hour of use.) Mixed Find the output y when the input x is -4y=?PLZ HELP When the y coordinate is positive, which way do you move on the coordinate plane? ummmmmmmmmmmmmm yeah haha Evaluate csc(x + pi/2 ) for x = . what is a factor of a solution Read the chart.A 3-column table with 1 row. Column 1 is labeled Information about a character with entry blank. Column 2 is labeled Background knowledge with entry blank. Column 3 is labeled Inference with entry blank.What kinds of examples should go under "Background knowledge to help the reader make an inference?a)Personal experiencesb)Logical conclusionsc)Personality traitsd)Text details Homework for pythag theory Help answer quick will mark brainly Ppppplllssssssss help!I promise to award brainliest20 points List five organizations where you could volunteer your services. Describe the type of work you might perform for each organization. Which of the following would be the optimal time for a grower to plan passive freeze protection for an orchard? A) at planting timeB) prior to a cold snap C) prior to planting D) at grafting time Take a moment to examine these images of cells and their surrounding membranes. You already know that the cell membrane protects the cell from the external environment and controls what substances enter and exit the cell. As you study the pictures, consider the following questions: Which of the two cells do you think is more efficient at transporting materials through the cell? Why? what's the word equation for table salt? fule cells have been developed that can generate a large amount of energy. for example, a hydrogen fuel cell works by combining hydrogen and oxogen gas to produce water and electrical energy. if a fuel cell can generate 10.0 kilowatts of power and the current is 15.8 amps, what is the voltage of the electricity? Find the area and the circumference of the circle. Round your answers to the nearest hundredth. What are examples of droplet precautions? Check all that apply.placing patients in single rooms or rooms separated with a privacy curtainputting patients in isolation roomschanging PPE when moving from one patients side of room to the other patients side of roomrequiring patients to wear masks during transportmaking visitors wear respirators in the patients room Jacobs dream of a ladder to heaven. What type of figurative language is this Which sentence from "The Yellow Wallpaper" best contributes to the disgusted tone?