a small bookshelf is 8/12 yard long. How many books can fit on the shelf if the width of each book is 1/24 yard? Explain
Answers
Answer:
16 books
Step-by-step explanation:
8/12 is equivalent to 16/24. If each book is 1/24 width, 16/1 = 16
Related Questions
A garden has an area of 273 ft^2. Its length is 8 ft more than its width. What are the dimensions of the garden ?
Answers
The length and width of the garden are 21 ft and 13 ft respectively.
What is a linear equation?A linear equation in two variable has the general form as y = ax + by + c, where a, b and c are integers and a, b ≠ 0.
It can be represented as a straight line on a graph.
Given that,
The area of garden is 273 square ft.
And, its length is 8 more than width.
Suppose, the width of the garden be x ft.
Then, its length is x + 8 ft.
Since, the area is obtained by taking the product of length and breadth, the following equation can be written for the area of the garden,
x(x + 8) = 273
=> x² + 8x -273 = 0
=> x² + 21x - 13x - 273 = 0
=> x(x + 21) - 13(x +21) = 0
=> (x - 13) (x +21) = 0
=> x = 13, -21
As the width of the garden cannot be negative, the value of x is taken as 13.
Thus, the length is given as 13 + 8 = 21.
Hence, the dimensions of the garden are 13 ft and 21 ft respectively.
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Using π = 3.14, find the area of a circle with a radius of 7. Round your answer to the nearest hundredth
Answers
Answer:
The formula for calculating the circumference (C) of a circle, C = πD or C = 2πR, is simple if you know the circle's diameter (D) or radius (R). But what do you do if you only know the circle's area? Like many things in math, there are multiple solutions to this problem. The formula C = 2√πA is designed to find a circle's circumference using the area (A). Alternatively, you can solve the equation A = πR2 in reverse to find R, then plug R into the circumference equation. Both equations provide the same result.
Step-by-step explanation:
The formula for calculating the circumference (C) of a circle, C = πD or C = 2πR, is simple if you know the circle's diameter (D) or radius (R). But what do you do if you only know the circle's area? Like many things in math, there are multiple solutions to this problem. The formula C = 2√πA is designed to find a circle's circumference using the area (A). Alternatively, you can solve the equation A = πR2 in reverse to find R, then plug R into the circumference equation. Both equations provide the same result.
What is the meaning of "the cancellation laws"?
Answers
Each step of this theorem is proved below.
Given that,
S is finite,
Now enumerate all of its elements as x₁, x₂,..., x\(_{n}\).
According to the cancellation rule,
This product is independent of the order of the factors.
As a result, we can define the identity element e as this product.
It is simple to demonstrate that e meets the criteria of an identity element.
Now, let's show that every element of S has an inverse.
Let a be any element of S. Consider the set {a, a, a, ...}.
Since S is finite,
There exist positive integers m and n such that
am = an for some m > n.
By the cancellation law,
We can cancel a power of a from both sides to get a\({(m-n)}\) = e.
This means that a has an inverse, and we can conclude that S is a group.
Consider the set of all positive integers under addition, except 1, as an example of an infinite semigroup in which the cancellation laws hold but which is not a group.
This set clearly meets the cancellation laws, but it does not have an inverse for every element, because the inverse of 2, for example, is not an integer.
As a result, this is not a group.
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Hey guys may yall help please and thank you !!
Answers
Answer: 12? im pretty sure
Step-by-step explanation: 1/4 of a unit so 4 for 1 unit, 4 x 3 is 12 units for 3
Gina has 32 items to ship and 11 shipping boxes. The large shipping boxes can hold 4 items each. The small shipping boxes can hold 2 items each. Gina has exactly enough boxes for her items. How many of each type of box does she have?
Answers
Answer:
Gina has 5 large shipping boxes and 6 small shipping boxes.
Step-by-step explanation:
32 items to ship and 11 shipping boxes.
Large=4 items
4 X 5 = 20
Small=2 items
2 X 6 = 12
20 + 12 = 32
Ben has £24
He gives £16 to Rhys.
a) What fraction of the £24 does Rhys get?
Give your answer in its simplest form.
b) What fraction of the £24 does Ben have now?
Give your answer in its simplest form.
Answers
Answer:
\(\frac{2}{3}\) and \(\frac{1}{3}\)
Step-by-step explanation:
(a)
fraction Rhys gets is \(\frac{16}{24}\) = \(\frac{2}{3}\)
(b)
Ben is left with £24 - £16 = £8
then fraction Ben has left is
\(\frac{8}{24}\) = \(\frac{1}{3}\)
BROOOO HELPPPPPPP PLEASEEEEEEEEEEE
Answers
Answer:
x = 11°
Step-by-step explanation:
Because m is parallel to n,
7x+14 and 9x-8 are corresponding angles.
So, 7x+14 = 9x-8
Subtract 7x and add 8 on both sides,
9x - 7x = 14 + 8
2x = 22
Divide by 2,
x = 11°
what is 11/2 times 1/3 as a fraction
Answers
Answer:
11/2 times 1/3 is 11/6
Step-by-step explanation:
11/2 times 1/3,
We have to multiply the numerators and denominators,
\((11/2)(1/3) = (11*1)/(2*3) = 11/6\\11/6\)
hence we get 11/6
KL has endpoints at K(9, 19) and L(2, 16). Find the midpoint M of KL.
Write the coordinates as decimals or integers.
Answers
Answer: (5.5,17.5)
Step-by-step explanation: using the midpoint formula
Consider this expression.
|m^2+n^2|
m = -5 and n = 3
Answers
Answer:
34
Step-by-step explanation:
To do this you would just plug in the values into the variables so you get \(|-5^{2} +3^{2} |\) and when you simplify you get |25+9| which when you add together you get |34| and the absolute value is just 34 since it is not negative.
If m = -5 and n = 3, then the value of the expression |m² + n²| will be 34.
What is Algebra?Algebra is the study of graphic formulas, while logic is the interpretation among those signs.
The expression is given below.
⇒ |m² + n²|
Put m = -5 and n = 3, then the value of the expression will be
⇒ |(-5)² + 3²|
⇒ |25 + 9|
⇒ |34|
⇒ 34
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Multiply. Express your answer in simplest form.
5/9 x 3/10
Answers
Answer:
5/9 x 3/10 = 15/90 as simplified as 1/6 in fraction form.
5/9 multiplied by 3/10 is equal to 1/6 in its simplest form.
We have,
To multiply fractions, we multiply the numerators together and the denominators together.
The resulting fraction is then simplified to its simplest form.
Let's multiply 5/9 by 3/10:
(5/9) x (3/10) = (5 x 3) / (9 x 10) = 15/90
To simplify the fraction 15/90, we can divide both the numerator and denominator by their greatest common divisor, which is 15:
15/90 = (15 ÷ 15) / (90 ÷ 15) = 1/6
Therefore,
5/9 multiplied by 3/10 is equal to 1/6 in its simplest form.
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please Translate the triangle.
Then enter the new coordinates.
A (-2,4)
(-3,2)
< 9.3 >
A'([?], [])
B'([ ].[])
C'([] [])
![please Translate the triangle.Then enter the new coordinates.A (-2,4)(-3,2)< 9.3 >A'([?], [])B'([](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/hYXbUSqbeilzJwElruWoiMoYt074XMtw.png)
Answers
Answer:
A' (7,7)
B' (10,4)
C' (6,5)
Step-by-step explanation:
Add 9 to every x value and 3 to every y value.
Answer:
A'(7,7)
B'(10,4)
C'(6,5)
Step-by-step explanation:
⭐What is a translation?
a translation is a type of transformation you can do to a figure to shift the figure up/down and left/right.⭐What is the translation notation?
\(T_ < x,y > (ABC) = (A'B'C')\)\(T_ < x,y >\) tells you how much to move the figure left/right and up/down. x = left/righty = up/downThe problem tells us to translate ΔABC 9 units to the right, and 3 units up because it is inside the <>, and the numbers are positive.
To translate the vertices of ΔABC, we have to add the respective x and y coordinates of the translation rule to each vertecie of ΔABC.
A(-2,4):
Add the respective x and y coordinates of the translation rule to the coordinates of the vertecieA'(-2+9, 4+3) = A'(7,7)B(1,1):
Add the respective x and y coordinates of the translation rule to the coordinates of the vertecieB'(1+9, 1+3) = A'(10,4)C(-3,2):
Add the respective x and y coordinates of the translation rule to the coordinates of the vertecieC'(-3+9, 2+3) = A'(6,5)⭐if this response helped you, please mark it the "brainliest"!⭐
Wetlands offer a diversity of benefits. They provide a habitat for wildlife, spawning grounds for U.S. commercial fish, and renewable timber resources. In the last 200 years, the United States has lost more than half its wetlands. Environmental Almanac gives the percentage of wetlands lost in each state in the last 200 years. For the 30 of the lower 48 states, the percentage loss of wetlands per state is as follows. 42 89 38 27 60 67 73 9 27 38 59 50 87 54 48 20 33 85 52 90 50 50 52 35 46 35 35 46 37 46 Make a stem-and-leaf display of these data. (Use the tens digit as the stem and the ones digit as the leaf. Enter NONE in any unused answer blanks.) Percent of Wetlands Lost COVOU AWN NONE 377 3555788 22666 000 26 99 07 >XXXXX 5 77 How are the percentages distributed? Is the distribution skewed? Are there any gaps? (Select all that apply.) These data are strongly skewed left. The percentages are concentrated from 20% to 60%. These data are fairly symmetric, perhaps slightly skewed right. There is a gap showing that none of the lower 48 states has lost from 60% to 69% of its wetlands. There are no gaps in the data. There is a gap showing that none of the lower 48 states has lost from 10% to 19% of its wetlands. The percentages are concentrated from 60% to 90%.Wetlands offer a diversity of benefits. They provide a habitat for wildlife, spawning grounds for U.S. commercial fish, and renewable timber resources. In the last 200 years, the United States has lost more than half its wetlands. Environmental Almanac gives the percentage of wetlands lost in each state in the last 200 years. For the 30 of the lower 48 states, the percentage loss of wetlands per state is as follows. 42 89 38 27 60 67 73 9 27 38 59 50 87 54 48 20 33 85 52 90 50 50 52 35 46 35 35 46 37 46 Make a stem-and-leaf display of these data. (Use the tens digit as the stem and the ones digit as the leaf. Enter NONE in any unused answer blanks.) Percent of Wetlands Lost COVOU AWN NONE 377 3555788 22666 000 26 99 07 >XXXXX 5 77 How are the percentages distributed? Is the distribution skewed? Are there any gaps? (Select all that apply.) These data are strongly skewed left. The percentages are concentrated from 20% to 60%. These data are fairly symmetric, perhaps slightly skewed right. There is a gap showing that none of the lower 48 states has lost from 60% to 69% of its wetlands. There are no gaps in the data. There is a gap showing that none of the lower 48 states has lost from 10% to 19% of its wetlands. The percentages are concentrated from 60% to 90%.
Answers
The stem-and-leaf plot of the given data is attached.
A stem-and-leaf plot refers to a device used to present quantitative data in a graphical format to help in visualizing the shape of a distribution. It is a table where each data value is split into a "stem" (the first digit or digits) and a "leaf" (usually the last digit).
From the given options, the statements that describe the percentages distributed, distribution skewness and whether there are any gaps are:
The percentages are concentrated from 20% to 60% as these concentrations have more than one values. These data are fairly symmetric, perhaps slightly skewed right, considering the midpoint, 4.5, there are fairly equal number of values on each side, perhaps a little more on the right side.There is a gap showing that none of the lower 48 states has lost from 10% to 19% of its wetlands, as there are no values corresponding to 1, or no values between 10 and 19 percent.Learn more about Stem-and-leaf plot:
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What is the solution set of x/4 is less than 9/x?
Answers
Answer:
D
Step-by-step explanation:
\(\frac{x}{4}\leq \frac{9}{x} \\x\leq \frac{36}{x} \\let x<0\\x^2\geq 36\\|x|\geq 6\\x\leq -6~and ~x\geq 6\\but~x<0\\so~x\leq -6\\again~let~x> 0\\\\x\neq ~0\\x^2\leq 36\\|x|\leq 6\\-6\leq x\leq 6\\as~x>0\\so~0< x\leq 6\)
combininig the two cases
x≤-6 and 0<x≤6
What is x in this equation .3=.5x-.7
Answers
By solving the linear equation it can be obtained that
The value of x is 2
What is a linear equation?
At first it is important to know about equation
Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.
A one degree equation is known as linear equation.
The given linear equation is
0.3 = 0.5x - 0.7
0.5x = 0.3 + 0.7
0.5x = 1
x = \(\frac{1}{0.5}\)
x = 2
The solution of this linear equation is x = 2
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compute the products in exercises 1\[dash]4 using (a) the definition, as in example 1, and (b) the row\[dash]vector rule for computing a x. if a product is undefined, explain why.
Answers
1) product is not defined.
2) product is undefined.
3) [ -9 ]
[ 5 ]
[ -11 ]
Explanation:
1) product is not defined.
because no of column of 1st matrix (2) is not same as no of row of second matrix.(3)
2) product is undefined.
because no of column of 1st matrix (1) not same as no of row of second matrix (2).
3) [ 6 5 ] [ 6 -15 ] [ 9 ]
[ -4 -3 ] X [ 1 ] = [ -4 +9 ] = [ 5 ]
[ 7 6 ] [ -3 ] [ 7 -18 ] [ -11 ]
A matrix is a rectangular array of numbers (or other mathematical objects) that defines operations like addition and multiplication. A matrix over a field F is typically a rectangular array of scalars, each of which is a member of F.
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![compute the products in exercises 1\[dash]4 using (a) the definition, as in example 1, and (b) the row\[dash]vector](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/ZNlNTeE5B9RxpIjG9SRomCGY2KFdbJt1.jpeg)
find the surface area of the equilateral triangular pyramid A.720 cm B.912 cm C.1104 cm D. 1824 cm
Answers
Answer:
What does the pyramid look like
Step-by-step explanation:
What percentage of births occur among women between the ages of 36 and 38?
Answers
Answer:
200%
Step-by-step explanation:
2 multiplied by 100
I need help with this!!
Answers
Answer:
Step-by-step explanation:
I need help with all the work if you help you get all the points and brainliest only if it's correct please help me with the work. its 5th grade so easy for older peeps to help me with
Answers
Answer:
click on this link down there and open the file, scroll down to the bottom and there will be your answers
Step-by-step explanation:
Which algebraic expression represents the phrase “six less than a number”? 6x - x x - 6 6 - x x - 6x
Answers
Answer:
B. x-6
Step-by-step explanation:
The algebraic expression is x-6. Therefore, option B is the correct answer.
We need to find the algebraic expression for the phrase "six less than a number"
What are Algebraic Expressions?An algebraic expression (or) a variable expression is a combination of terms by the operations such as addition, subtraction, multiplication, division, etc.
Now, for the given statement "six less than a number".
Let the unknown number be x.
So, six less than a number is x-6.
Therefore, option B is the correct answer.
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you in my business yea don't do that you see me
Answers
Answer:
you in my buissnesss???? yeaaa dont do daTTT
Step-by-step explanation:
Answer:
Bro what are you even talking about?
Step-by-step explanation:
Please explain your answer to the question in the picture with steps.
Answers
For a company picnic, Melissa ordered a box of fresh-baked gingerbread cookies and sugar cookies. She got 25 cookies in all. 4 of the cookies were gingerbread. What percentage of the cookies were gingerbread? pls help me asap WILL GIVE BRAINLEST
Answers
Answer:
16% of the cookies were gingerbread.
Step-by-step explanation:
4/25 = 16/100 or 16%
Hope this helps! :)
4x - 5 > 3 OR -4x < -28
Answers
Answer: x=35
Step-by-step explanation:
What is a satellite country?
Answers
Answer:
A satellite state is a country that is formally independent in the world, but under heavy political, economic and military influence or control from another country.
BOOMER GENERATION: At 84%, Boomers are the highest amongst all the generations that want to shop in-store. In a sample size of 75 people in the Boomer Generation, estimate how many of them prefer to shop in-store.
Answers
In a sample size of 75 people in the Boomer Generation, proportionately, the estimated number of people who prefer to shop in-store is 63.
What is proportion?Proportion shows the relative number of objects or people in the whole.
Proportions are ratios equated to each other.
They are expressed as fractional values, in decimals, percentages, and fractions.
The percentage of Boomers who want to shop in-store = 84%
The sample size of the Boomer Generation = 75
The estimated number of Boomers in the sample size who want to shop in-store = 63 (75 x 84%)
Thus, 63 Boomers representing 84 percent of 75 want to shop in-store.
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18/3=????????????????????
Answers
Answer:
18/3=6
Step-by-step explanation:
3 can be made out of 18 6 times
HELP ME PLEASE!!
What is the correct notation for a ray with endpoint C?
Answers
Answer: Ray - begins at an endpoint and extends infinitely in one direction. Opposite Rays - have same endpoint and extend in opposite directions.
Step-by-step explanation:
C is between A and B, with AC = x, and CB = x + 6, and AB = 24
to meet slope constraint rhonda wants to change the height of the zip-line 7 ft and end at a height 9 ft above the ground
Test Rhonda’s claim
Answers
All the three locations has been checked below.
Using Pythagoras theorem,
12² = 8² + x²
144 - 64 = x²
x= √80
x=8.9
Now, using Trigonometry
tan F = P/B
tan F= 8/8.9
and, sin F = P/H
sin F= 8/12 = 2/3
and, cos F = B/H
cos F= 12/8.9
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