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
Find the interest rate for a bank account that earned $81.60 in interest over 4 years and that had a principal of $510
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]
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.
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.
someone please help me out on this problem
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)
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.)
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 )
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?
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.
Answer:8x5=10-x
Step-by-step explanation:
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?
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
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
Answer:
I'm pretty sure the answer is C
I could be wrong tho
Solve each equation. List any restrictions. Check your solutions.
12/x+11=17
Pls help me, and do not send links. Thanks
i uploaded a vid on this here
https://www.you tube.com/watch?v=dQw4w9WgXcQ
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?
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
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?
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
7/15 multiplied by 5/6
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]
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?
I need help on this now. Please.
Answer:
science is the answer
Step-by-step explanation:
becuse
Answer:
She answered fastest in social studies.
Step-by-step explanation:
Hope that helps
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
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
#SPJ2
Hong reads 7 1/2 chapters in 3 1/8 hours.
Help me ♀️
Hehdhxjjbduc eirbdudbdu
Answer:
slope = 1
y - intercept = (0.-4)
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].
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]
(28 divided 7 + 6 divided 3) x 1/2
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
Answer:
false
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
Help me please! This is due today!
Answer:
the question is fillped i can not see the questions
Step-by-step explanation:
I need this answer as soon as possible
i need help asap pls and no links
Answer:
D
Step-by-step explanation:
I took chemistry so I know
Please answer both questions, thanks!
Answer: your welcome lol
Step-by-step explanation:
Find the length of a diagonal of a square with a side of 10. Round your answer to the nearest hundredth.
Find the slope of the line through the points (10,-6) and (-1,8)
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
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?
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
This is my question for now
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
radius of a cone with a volume of 100.48 yds3 and a height of 6 yds
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