Se tienen dos libros: uno de 240 página y otro de 160 páginas. Si los 2 libros están formados por cuadernillos con el mismo número de páginas (entre 16 y 28), ¿cuántos cuadernillos tienen en total los dos libros?

Answers

Answer 1

Answer:

Book of 240 pages has 12 booklets in total

Book of 160 pages has 8 booklets in total.

Total booklets both the books have in total = 20

Step-by-step explanation:

Given - There are two books: one of 240 pages and the other of 160 pages. If the 2 books are made up of booklets with the same number of pages (between 16 and 28),

To find - How many booklets do the two books have in total?

Proof -

Given that, Number of pages of a booklet is between 16 and 28.

So, The number that lies between 16 and 28 will have to divide the number of pages of both the books.

(Because given that both the books are made up of booklet with the same number of pages)

By inspection, we get

The number of pages of a booklet = 20

because

240/20 = 12 and 160/20 = 8

∴ we get

1 booklet = 20 pages

i.e.

20 pages = 1 booklet

⇒1 page = [tex]\frac{1}{20}booklet[/tex]

⇒240 pages = [tex]\frac{240}{20}booklet[/tex] = 12 booklet

So, we get

The book of 240 pages has 12 booklets in it.

Now,

1 page = [tex]\frac{1}{20}booklet[/tex]

⇒160 pages = [tex]\frac{160}{20}booklet[/tex] = 8 booklet

So, we get

The book of 160 pages has 8 booklets in it.

∴ we get

Book of 240 pages has 12 booklets in total

Book of 160 pages has 8 booklets in total.

So, Total booklets both the books have = 12 + 8 = 20


Related Questions

1900 is deposited into a savings account. Interest is compounded annually. After 1 year, the value of the account is 1957. After 2 years, the value of the account is 2015.71. This scenario can be represented by an exponential function of the form f(x)=1900(b)^2 , where is the amount in the savings account, and x is time in years. What is the value of b?

Answers

Answer:

1.03

Step-by-step explanation:

2015.71 = 1900(b)^2

44.896659 = 43.588989 * b

44.896659/ 43.588989 = b

1.0300000 = b

Recall ; for an exponential distribution :

b In the equation = 1 + r ; where, r = rate

b = 1 + r

1.0300000 = 1 + r

r = 1.0300000 - 1

r = 0.03

Hence, the value of b in the equation is 1.03

Solve each equation. List any restrictions. Check your solutions.
12/x+11=17

Answers

12+11x=17x11x+12=17x
(both sides of the equation)
11x+12−17x=17x−17x
(Subtract 17x from both sides)
−6x+12=0−6x+12−12=0−12
(Subtract 12 from both sides)
−6x=−12−6x−6=−12−6
(Divide both sides by -6)
x=2
Check answers. (Plug them in to make sure they work.)
x=2
(Works in original equation)

Find the length of a diagonal of a square with a side of 10. Round your answer to the nearest hundredth.

Answers

The answer is 14.14 that’s already rounded

To serve 1 person at a local restaurant, it takes 10 minutes. To sene 5 people, it takes 18 minutes. Write and solve an equation to find the number it will take to serve a party of 8.​

Answers

Answer:8x5=10-x

Step-by-step explanation:

Select the correct answer.

What is the height, x, of the equilateral triangle?

an equilateral triangle with the angles labeled as 60 degrees and a side length of 14 inches, the height labeled as x

Answers

Answer:

x = [tex]7\sqrt{3} [/tex] inches

Step-by-step explanation:

- 2021 Edmentum

The height x of the equilateral triangle is 7√3 inches.

What is an Equilateral triangle?

Equilateral triangles are triangles that have all their sides and angles equal to each other. The three angles are 60 degrees each.

Therefore,

The side length of the equilateral triangle is 14 inches.

Therefore, To find the height of the triangle using the Pythagoras theorem.

c² = a² + b²

14² - 7² = b²

b² = 196 - 49

b² = 147

b = 7√3

Hence, The height x of the equilateral triangle is 7√3 inches.

learn more on the equilateral triangle here:

brainly.com/question/821299

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Find the slope of the line through the points (10,-6) and (-1,8)

Answers

Answer:

m=-14/11

Step-by-step explanation:

To find the slope use the formula: y2-y1/x2-x1

(8--16)/(-1-10)

14/-11

=-14/11

The Town Theater receives $4212 by selling 465 tickets to
the opening night of the revue. If the full price of a ticket is $10.00
and discount tickets for students and seniors are $8.00 each, how
many discounted senior/student tickets were sold?

Answers

Answer:

219

Step-by-step explanation:

let x be the number of full price tickets and y be student/ senior number , then

x + y = 465 → (1)

10x + 8y = 4212 → (2)

Multiplying (1) by - 10 and adding to (2) will eliminate x

- 10x - 10y = - 4650 → (3)

Add (2) and (3) term by term to eliminate x

0 - 2y = -438

- 2y = - 438 ( divide both sides by - 2 )

y = 219

The number of senior/ student tickets sold was 219

Hong reads 7 1/2 chapters in 3 1/8 hours.

Answers

So what is the question?

An archeologist used the functions below to model the changing populations of two ancient cities as they grew in size. Compare the populations by finding and interpreting the average rates of change over the interval [0,40].

Answers

Answer:

The answer is "6.3 and 5.25"

Step-by-step explanation:

Please find the complete question in the attached file.

Throghout the question the calculated points are:

[tex](0,0) , \ \ (40,252) \\(0,0) , \ \ (40,210) \\[/tex]

Formula for Calculating slope:

[tex]M=\frac{y_2-y_1}{x_2-x_1}[/tex]

For First point slope:

[tex]M=\frac{252-0}{40-0}=\frac{252}{40}= 6.3 \ \frac{people}{mi^2}[/tex]

For second point slope: [tex]M=\frac{210-0}{40-0}=\frac{210}{40}=\frac{21}{4}= 5.25 \ \frac{people}{mi^2}[/tex]

NEED HELP PLEASE. NO LINKS OR U WILL B REPORTED. WILL GIVE POINTS AND THE BRAINLIEST. THANKS!!

In a robotics competition, a robot must be built with a specific
maximum starting height, width, and depth. In order to meet the
height requirements, a robot must fit in the judge's plexi-glass box.
The box is a rectangular prism that has a surface area of 1 728 in”, a
width of 15 inches, and a length of 18 inches. The Mad Hatter robot
is 17.75 inches tall in its starting position. Does the Mad Hatter
meet the height requirement?

Answers

L = 18, W = 15 and H = ?
2*(15+18) + 2*(15H) + 2*(18H) = 540 + 30H + 36H
1,728 - 540 = 66H
1,188/66 = H = 18
so yes, it meets the height requirement 17.75 is less than 18

(28 divided 7 + 6 divided 3) x 1/2

Answers

Answer:

3

Step-by-step explanation:

28/7=4

6/3=2

4+2=6

6*1/2=3

Paraenthies

Exponets

Mulitplication

Divide

Add

Subtract

If a / b = 2 / 5 , then , b / a = 5 / 2

True
False

Answers

Answer:

false

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

8.2.AP-7
B
Find the measure of side c.
a = 26 m
C
C=
m (Round the answer to the nearest whole number.)

Answers

Answer:

c ≈ 40

Step-by-step explanation:

Using the sine ratio in the right triangle

sin40° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{26}{c}[/tex] ( multiply both sides by c )

c × sin40° = 26 ( divide both sides by sin40° )

c = [tex]\frac{26}{sin40}[/tex] ≈ 40 ( to the nearest whole number )

i need help asap pls and no links

Answers

Answer:

D

Step-by-step explanation:

I took chemistry so I know

Pls help me, and do not send links. Thanks

Answers

i uploaded a vid on this here

https://www.you tube.com/watch?v=dQw4w9WgXcQ

Find the interest rate for a bank account that earned $81.60 in interest over 4 years and that had a principal of $510

Answers

Answer:

[tex]si = \frac{p \times t \times r}{100} \\ 81.60 = \frac{510 \times 4 \times r}{100} \\ 8160 = 2040r \\ r = \frac{8160}{2040} \\ r = 4\%[/tex]

someone please help me out on this problem

Answers

Answer:

[tex]x^{2}[/tex]+[tex]y^{2}[/tex]=9

Step-by-step explanation:

the equation for graphed circles centered at (0, 0) is

[tex]x^{2}[/tex]+[tex]y^{2}[/tex]=[tex]r^{2}[/tex]

and 3 is r (the radius)

Claire has 8 cards: 4 red cards and 4 blue cards. She draws 3 cards from the set at random. What is the probability that all 3 cards are red?

Answers

Answer: 1/14 assuming cards are nut returned back in deck

Step-by-step explanation: first is red P(1. R) = 4/8 = 1/2

Second red P(2. R) = 3/7 and P(3. R) = 2/6 = 1/3.

Multiply probabilities , you get 1/14

Answer:

4/56 simplified is 1/14

Step-by-step explanation:

nCr(8,3) = 56

4 (the number of red cards there are) / 56 = 1/14

Help me please! This is due today!​

Answers

Answer:

the question is fillped i can not see the questions

Step-by-step explanation:

7/15 multiplied by 5/6

Answers

Answer:

The answer will be 35/36

Answer:

[tex]\frac{7}{18}[/tex]

Step-by-step explanation:

[tex]\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}[/tex]

I need help on this now. Please.

Answers

Answer:

science is the answer

Step-by-step explanation:

becuse

Answer:

She answered fastest in social studies.

Step-by-step explanation:

Hope that helps

Help me ‍♀️
Hehdhxjjbduc eirbdudbdu

Answers

Answer:

slope = 1

y - intercept = (0.-4)

A tourist standing on the New York City coast sees the Statue of Liberty, which is 305 feet tall. She must tilt her head 9 degrees upwards to look at its head. How far away is she from the base of the statue? Round your answer to the nearest whole foot.

Answers

Given:

Height of the Statue of Liberty = 305 feet

Angle of elevation = 9 degrees

To find:

The between the tourist and the Statue of Liberty.

Solution:

Using the given information, draw a figure as shown below.

In a right triangle,

[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]

In the triangle ABC,

[tex]\tan 9^\circ=\dfrac{305}{x}[/tex]

[tex]x=\dfrac{305}{\tan 9^\circ}[/tex]

[tex]x=1925.6942[/tex]

[tex]x\approx 1926[/tex]

Therefore, the tourist is standing 1926 feet from the Statue of Liberty.

Please answer both questions, thanks!

Answers

Answer: your welcome lol

Step-by-step explanation:

I dont see a question attached

What flavor of ice cream would you pick?
Chocolate Vanilla Neither
Children
40
Teens 12
16
45
Adults 55
54
22
15
10
The table shows the results of a survey on the preferred flavor of ice cream. Based on this survey, what is the probability that an adult
prefers chocolate ice cream?
A)
55
52
B)
55
54
c)
55
107
D)
55
119

Answers

Answer:

I'm pretty sure the answer is C

I could be wrong tho

I need this answer as soon as possible

Answers

2(15) + 2(2x + 3) would be the perimeter equation

radius of a cone with a volume of 100.48 yds3 and a height of 6 yds

Answers

Answer:

r = 4

Step-by-step explanation:

Volume of a cone:

V = πr²(h/3)

Given:

V = 100.48

h = 6

π = 3.14

Work:

V = πr²(h/3)

100.48 = r²(3.14)(6/3)

100.48 = r²(3.14)(2)

100.48 = r²6.28

r² = 100.48/6.28

r² = 16

[tex]\sqrt{r^2} =\sqrt{16}[/tex]

r = 4

Jack and charlie each deposit $17,250 into accounts that earn 6% interest for 6.5 years. Jacks account earns annual compound interest. Who will earn more interest after 6 years, and how much more interest will they earn?

Answers

From the amounts found using simple and compound interest formulas, we found that Carlie earns more interest than Jack by $1009.45.

What is the difference between simple and compound interests?

Simple interest is based on the principal amount, which is the main distinction between it and compound interest. Contrarily, compound interest is calculated using the principle sum and interest that has been compounded over the course of a period. Simple interest is a predetermined proportion of the principal amount borrowed or lent that is paid or received over a set period of time. Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.

The complete question is given below.

Given,

  The principal amount deposited by both Jack and Carlie  P = $17,250

The rate of interest r = 6% = 0.06

The time period = 6.5

Jack's account earns annual simple interest and Carlie's account earns annual compound interest.

So the amount in each person's account after a time period of t = 6 years.

Jack:

Amount = P(1+rt) = 17250 ( 1 + 0.06*6) = $23,460

Carlie:

number of times compounded in a year n = 1

Amount = [tex]P(1 + \frac{r}{n})^{nt}[/tex] = 17250 ( 1+0.06)⁶ = $24,469.45

Therefore from the amounts found using simple and compound interest formulas, we found that Carlie earns more interest than Jack by $1009.45.

To learn more about the interest, follow the link.

https://brainly.com/question/25720319

#SPJ1

Brionna bought a house for $300,000 in 2000. Unfortunately, the market is not doing so hot and each year she loses $2,000 in value. If she decides to sell in 2012 how much will her house be worth?

Answers

Her house will be worth 276,000 I think

This is my question for now

Answers

Answer:

V = 540cm3 (E)

Step-by-step explanation:

Area of a square:

A = a2

Perimeter of a Square

P = 4a

Polygon diagonals of a square

q = √(2a2) = a√2

Side of a Square

a = √A

a = P/4

a = q / √2

Square Calculations

Calculate q, P, A | Given a

Given the length of a side calculate the diagonal, area and perimeter

q = a√2

A = a2

P = 4a

Calculate a, P, A | Given q

Given the diagonal length calculate the side length, perimeter, and area

a = q / √2

P = 4a

A = a2

Calculate a, q, A | Given P

Given the perimeter calculate the side length, diagonal, and area

a = P/4

q = a√2

A = a2

Calculate a, q, P | Given A

Given the area calculate the length of the sides, diagonal, and the perimeter

a = √A

q = a√2

P = 4a

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