Choose the division equation that represents the fraction shown.
one fourteenth = ________
1 ÷ 14 = ________
14 ÷ 11 = ________
13 ÷ 14 = ________
14 ÷ 13 = ________
Answers
Answer:
the answer is a
Step-by-step explanation:
division equation is 1÷14
Related Questions
Richard wants to install a paver patio in the shape shown. The dotted line represents a line of symmetry. How many square yards of pavers does Richard need to cover the entire patio?
1. 400
2. 290
3. 190
4. 180
Answers
Answer:
number 2: 290
Step-by-step explanation:
triangle: 11 x 20 = 220 ÷ 2 = 110
rectangle: 9 x 20 = 180
180 + 110 = 290
Richard will need 290 square yards of pavers to cover the entire patio.
∴ Option 2. 290 is the right option.
What is a trapezoid? How do we calculate its area?A trapezoid is a quadrilateral with a necessary pair of parallel lines.
The area of a trapezoid is calculated using the formula,
Area = (1/2)*(sum of parallel sides)*(perpendicular distance between the parallel sides)
What is a line of symmetry?A line of symmetry is the line that divides a figure into equal parts.
How do we solve the given question?The given patio is a quadrilateral. We are shown a line of symmetry. Seeing a single part among the two parts of the figure, we can see that it is a trapezoid with a pair of parallel lines, the shorter one 9ft, and the longer one 20ft. The perpendicular distance between them is 10ft (half of the base of the shown patio).
We calculate the area of this part,
= (1/2)*(9+20)*(10) = 0.5*29*10 = 145 square yards.
The area of the whole patio is twice of this part as both the parts are equal.
∴ Area of the patio = 2*145 = 290 square yards.
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The annual number of burglaries in a town rose by 50% in 2012 and fell by 10% in 2013. hence the total number of burglaries increased by 40% over the two year period.
a. by what percent has the number of burglaries actually changed in the two-year period?
b. by what percent would the crime have to decrease in the second year in order for the change over the two-year period to actually be a 40% increase?
Answers
The percentage change in the number of burglaries over the two-year period is 35% .
The change in burglaries over the two-year period to have a 40% increase is 6.7%.
Let's assume that the annual number of burglaries in 2011 is 1000. After the 50% increase in 2012, the number of burglaries would be: 1000(1.50) = 1500.
The number of burglaries after the 10% reduction in 2013 would be: 1500(.90) = 1350
The change in burglaries over the two-year period = (1350 / 100) - 1 = 35%
In order to determine how much burglaries would have to reduce in order to have a 40% change in burglaries, this formula would be used
(x - 1000) / 1000 = 0.40
x - 1000 = 400
x = 1400
The change in burglaries over the two-year period to have a 40% increase = (1400 / 1500) - 1 = 6.7%
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PLEASE HELP ASAP THANKS
Answers
Volume of cuboid = \(5\frac{5}{8}\) in³
Number of \((\frac{1}{4})\) inch small cubes fitted in the rectangular prism is 360.
Define the term cuboid?A cuboid is a solid three-dimensional object with six rectangular faces that are all at right angles to one another. It goes by the name rectangular prism as well.
Here rectangular prim is a type of cuboid, So we have to find out the volume of cuboid;
The volume of cuboid = length × width × height
Put the values;
Volume of cuboid = \(3\frac{3}{4}\) × 1 × \(1\frac{1}{2}\)
Volume of cuboid = \(\frac{15}{4}\) × 1 × \(\frac{3}{2}\) = \(\frac{45}{8}\)
Volume of cuboid = \(5\frac{5}{8}\) in³
The volume of a cube which is \((\frac{1}{4})\) inch = \((\frac{1}{4})^{3}\) = \((\frac{1}{64} )inch^{3}\)
Number of \((\frac{1}{4})\) inch small cubes fitted in the rectangular prism = Volume of rectangular prism (cuboid) ÷ volume of a cube which is \((\frac{1}{4})\) inch
So, Number of cubes = \(\frac{45}{8}\) ÷ \(\frac{1}{64}\) = 45 × 8 = 360 cubes.
Therefore, Number of \((\frac{1}{4})\) inch small cubes fitted in the rectangular prism is 360.
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hello how are you today. Question 2(×+-5)+×=×+(-6)
Answers
Answer:
x = 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
2(x + -5) + x = x + (-6)
Step 2: Solve for x
[Distributive Property] Distribute 2: 2x - 10 + x = x - 6[Addition] Combine like terms (x): 3x - 10 = x - 6[Subtraction Property of Equality] Subtract x on both sides: 2x - 10 = -6[Addition Property of Equality] Add 10 on both sides: 2x = 4[Division Property of Equality] Divide 2 on both sides: x = 2Answer:
x=2 ( see Image below)
Step-by-step explanation:
cancel equal terms on both sides of the equation
2(x-5)=-6
move the constant to the right -hand side and change its sign
2x= -6 +10
Calculate the sum
2x=4
divide both sides of the equation by 2
x=2
ABCD is a rhombus. M is the point on [AD] such that [CM] bisects angle ACD. Show that angle DMC is 3 time larger than angle ACM
Answers
In a rhombus, all sides are the same length, and the opposite angles are equal. The diagonals also bisect each other at 90 degrees.
What is the specialty of angle in a rhombus?We know that,
A rhombus has two congruent acute and two congruent obtuse angles.
Here we use the terms x and y to represent the angles.
where x is the acute angle
The angles total 360 degrees.
So far, we have:
2(x+y) = 360
By dividing both sides by 2 , we get,
x + y = 180
We can assume y is 3 times larger than x,
That is y = 3x
As a result, the equation becomes,
x + 3y = 180
Calculate the total
4x = 180
As a result, the acute angle is 45 degrees.
Hence we proved that y is 3 times larger than x.
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The 2010 U.S. Census asked every household to report information on each person living there. Suppose for a sample of 30 households selected, the number of persons living in each was reported as follows. 2 3 1 2 6 4 2 1 5 3 2 3 1 2 2 1 3 1 2 2 4 2 1 2 9 3 2 1 1 3 Compute the mean, median, mode, range, lower and upper quartiles, and interquartile range for these data. (Round the mean to 2 decimal places.) Mean
Answers
Answer:
\(\bar x =2.53\) -- Mean
\(Median= 2\)
\(Mode = 2\)
\(Range = 8\)
\(Q_1 = 1\)
\(Q_3 = 3\)
\(IQR = 2\)
Step-by-step explanation:
Given
n = 30
Data: 2 3 1 2 6 4 2 1 5 3 2 3 1 2 2 1 3 1 2 2 4 2 1 2 9 3 2 1 1 3
Solving (a): The mean
This is calculated as:
\(\bar x =\frac{\sum x}{n}\)
\(\bar x =\frac{2 +3 +1 +2 +6 +4 +2 +1 +5 +3 +2 +3+ 1+ 2 +2 +1 +3 +1 +2 +2 +4 +2 +1 +2 +9 +3 +2 +1 +1 +3}{30}\)
\(\bar x =\frac{76}{30}\)
\(\bar x =2.53\)
Solving (b): The median
First arrange the given data
Arranged: 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 4 5 6 9
\(Median =\frac{1}{2}(n+1)\)
\(Median =\frac{1}{2}(30+1)\)
\(Median =\frac{1}{2}(31)\)
\(Median = 15.5th\)
This implies that the median is the average of the 15th and 16th item
\(Median = \frac{2+2}{2}\)
\(Median = \frac{4}{2}\)
\(Median= 2\)
Solving (c): The mode
From the given data; 2 has the highest frequency of 11.
So,
\(Mode = 2\)
Solving (d): The Range
\(Range = Highest\ Data - Lowest\ Data\)
The highest is 9 and the lowest is 1,
So:
\(Range = 9 - 1\)
\(Range = 8\)
Solving (e): Lower (Q1) and Upper (Q3) quartile.
Q1 is calculated as:
\(Q_1 = \frac{1}{4}(n+1)th\)
\(Q_1 = \frac{1}{4}(30+1)th\)
\(Q_1 = \frac{1}{4}(31)th\)
\(Q_1 = 7.75th\)
\(Q_1 = 8th\ item\)
\(Q_1 = 1\) -- from the arranged data
Q3 is calculated as:
\(Q_3 = \frac{3}{4}(n+1)th\)
\(Q_3 = \frac{3}{4}(30+1)th\)
\(Q_3 = \frac{3}{4}(31)th\)
\(Q_3 = 23.25th\)
\(Q_3 = 23rd\ item\)
\(Q_3 = 3\) -- from the arranged data
Solving (f): The interquartile range (IQR)
\(IQR = Q_3 - Q_1\)
\(IQR = 3-1\)
\(IQR = 2\)
Choose the best answer
Answers
\(\quad \huge \quad \quad \boxed{ \tt \:Answer }\)
\(\qquad \tt \rightarrow \:-\dfrac{1}{\sqrt{3-2x}} \)
____________________________________
\( \large \tt Solution \: : \)
We newd to find the derivative of given function :
\(\qquad \tt \rightarrow \: y = \sqrt{3 - 2x} \)
\(\qquad \tt \rightarrow \: y = (3 - 2x) {}^{ \frac{1}{2} } \)
\(\qquad \displaystyle \tt \rightarrow \: \frac{dy}{dx} = \frac{d}{dx} (3 - 2x) {}^{ \frac{1}{2} } \)
\(\qquad \displaystyle \tt \rightarrow \: \frac{dy}{dx} = \frac{1}{2} \sdot(3 - 2x) {}^{ - \frac{1}{2} } \sdot( - 2)\)
\(\qquad \displaystyle \tt \rightarrow \: \frac{dy}{dx} = \frac{1}{ \cancel2} \sdot\frac{1}{(3 - 2x) {}^{ \frac{1}{2} } }\sdot( - \cancel2)\)
\(\qquad \displaystyle \tt \rightarrow \: \frac{dy}{dx} = \frac{ - 1}{ \sqrt{ (3 - 2x) {}^{ }} }\)
Correct option : B
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
you can continue to tranform 12=5x-3 into simpler form by adding 3 to both sides to get 15=5x when x =3 do youu get true statement
Answers
Answer:
yes
Step-by-step explanation:
12+3=5x-3+3
15=5x
15=5(3)
15=15
Plz help an show work thank u
Answers
2. 4g - 4 = 28
(add 4 on both sides) 4g = 32
(divide by 4 on both sides) g = 8
4. 0.5y - 1.1 = 4.9
(add 1.1 on both sides) 0.5y = 6
(subtract 0.5 on both sides) y = 5.5
6. 6t - 1/6 = 9
(add 1/6 on both sides) 6t = 9 1/6
(divide by 6 on both sides) t = 1.52777778
FIND THE LENGTH OF THE CHORD LM
Answers
Answer:
12 sin 75°
Step-by-step explanation:
See the attached images!
UYK
♡ The size of a rhombus is half the longer diagonal.
The height of the ronbus is 3cm
and
the area is 21cm². Find the length of the longer
diagonal
Answers
Answer:
Step-by-step explanation:
Area = height × side
21 = 3 * side
side = 7 cm
The side of a rhombus is half the longer diagonal
longer diagonal = 2*side =2*7=14cm
If f(x)=x^(2)+3x-2, find f(-2)
Answers
Answer:
hello
Step-by-step explanation:
what is the sum of the retional numbers -8/19 and -4/57
Answers
-28/57
Explanation:
Write all numerators above the least common denominator which is 57
Then, use: -a/b=a/-b=-a/b to rewrite the fraction.
EHO
Using the following model, answer questions 1 - 2:
You bought a new car for $17,7 in 2005. Its value
has been decreasing by about 13% each year
Cuz Rocha
APPLICATIONS on Modeling Exponential Functions
Answer the following applications. Round your answers to 2 decimal places. Find the solution in the
Answer Bank. When you find a match, place the question number next to the color. Color the picture
accordingly to reveal the mystery picture!
1. Write an exponential model for the value of the car after "x" years
2. What will the car be worth in 2015?
Name:
Using the following model, answer questions 3 - 4:
The population of a small town has been increasing at
1.5% due to an economic boom in the area. The
population was 7,650 in 1995.
Using the following model, answer questions 5 - 6:
Peter earned $2,300 last summer. He deposited the
money in his savings account that earns 2.4% interesi
compounded annually.
Using the following model, answer questions 7 - 8:
You have inherited land that was purchased for
$10000 in 1950. The value of the land incrocisty
approximately 4% per year.
Using the following model, answer questions 9 - 10:
The student enrollment of a high school was 1250 in
2000 and decreased by 1% per year until 2015.
Using the following model, answer questions 11- 12:
You bought a commemorative coin for $150. Each year,
x, the value of the coin increased by 2.5%.
Applications on Modeling Exponential Functions
1. log₂ 128=7
ections: Write
4th
Date:
Rocha
Period:
3. Write an exponential model for the population in this town in a particular year
"X"
4. What is the population in 2017
5. Write an exponential model to describes the amount of money in the bank
after x number of years
6. How much money will Peter have in 8 years?
7. Write an exponential model for the value of the land x years after 1950
7.
What is the approbate value of the land in the year 2010
9. Write an exponential model to show school's student enrollment in terms of
x, the number of years since 2000.
10.
What is the number of students in 2015?
11. Write an exponential model to give the value of the coin after x number of
years.
12. What is the value of the coin at 50 years?
Never Give Up On Math 2017
:I
173
3.
nece
Answers
Answer:
If f(x) = +4, which of the following is the inverse of f(x)?
O A. ƒ˜¹(x) = 2(2+4)
B. ƒ˜¹(x) = 7(2-4)
C. ƒ˜¹(x) = 7(2+4)
D. f¯¹(x) = ²(2-4)
Step-by-step explanation:
Fundamental theorem of calculus
\(g(s)=\int\limits^s_6 {(t-t^4)^6} \, dt\)
Answers
Answer:
\(\displaystyle g'(s) = (s-s^4)^6\)
Step-by-step explanation:
The Fundamental Theorem of Calculus states that:
\(\displaystyle \frac{d}{dx}\left[ \int_a^x f(t)\, dt \right] = f(x)\)
Where a is some constant.
We can let:
\(\displaystyle g(t) = (t-t^4)^6\)
By substitution:
\(\displaystyle g(s) = \int_6^s g(t)\, dt\)
Taking the derivative of both sides results in:
\(\displaystyle g'(s) = \frac{d}{ds}\left[ \int_6^s g(t)\, dt\right]\)
Hence, by the Fundamental Theorem:
\(\displaystyle \begin{aligned} g'(s) & = g(s) \\ \\ & = (s-s^4)^6\end{aligned}\)
a. Find x. The figure is not drawn to scale.
b. Is the triangle equilateral, isosceles, or scalene? Explain.
SOMEONE HELP!!!
Answers
Answer:
a. x = 15
b. scalene
Step-by-step explanation:
You want to know the value of x and the classification of the triangle whose circumscribing arcs are (8x-10)°, (6x)°, and (10x +10)°.
a. ArcsThe sum of arcs around the circle is 360°.
(8x -10)° +(6x)° +(10x +10)° = 360°
24x = 360 . . . . . . . . . . . divide by °, simplify
x = 15 . . . . . . . . . . . . divide by 24
b. TriangleThe arc measures around the circle are ...
(8x -10)° = 110°
(6x)° = 90°
(10x +10)° = 160°
Each arc is double the measure of the inscribed angle that intercepts it. The different arc measures mean the angle measures are different, so the triangle is scalene.
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A farm covers an area of 13square mile. The farm is divided into 4 equal sections, as shown in this diagram.
Answers
Answer: xd O.o rawr lmasos
Step-by-step explanation:
T^T
To address a falling GDP, a government may:
A. raise interest rates to allow businesses to borrow more money.
B. reduce the amount of money it puts into circulation.
C. invest in programs in order to help people in need.
D. lower interest rates to allow businesses to borrow more money.
Answers
Answer: D. Lower interest rates to allow businesses to borrow more money
Step-by-step explanation:
just took the test
To address a falling GDP, a government may lower interest rates to allow businesses to borrow more money. The correct option is A.
What is GDP?Real GDP (short for real GDP) is a macroeconomic measure of the value of economic output adjusted for price changes. This adjustment transforms the money-value measure, nominal GDP, into an index for the quantity of total output.
It is computed using the prices of a given base year. To calculate Real GDP, you must first determine how much GDP has been changed by inflation since the base year and then divide that amount by the number of years.
A government may lower interest rates to allow businesses to borrow more money in order to address a falling GDP.
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The athletic departments at 10 randomly selected U.S. universities were asked by the Equal Employment Opportunity Commission to state what percentage of their nursing scholarships were presently held by women. The responses were 5, 4, 2, 1, 1, 2, 10, 2, 3, 5. what is the midrange
Answers
Answer:
5.5
Step-by-step explanation:
Given the set of data
5, 4, 2, 1, 1, 2, 10, 2, 3, 5.
The average of the least and the greatest value is known as the midrange
The formula for calculating the midrange is expressed as shown:
Midrange = (Greatest value + Least value)/2
Given
Greatest value = 10
Least value = 1
Midrange = 10+1/2
Midrange = 11/2
Midrange = 5.5
Hence the midrange of the data is 5.5
At a sale this week, a desk is being sold for $536. This is 67% of the original price.
What is the original price?
Answers
Answer:
884.4
Step-by-step explanation:
Answer:
The original price is 895.12$
I haven't done percent in ages, lmk if you get it right
kudos to any other answer besides this
Step-by-step explanation:
x−5≥−8 Solve the inequality for x. Graph the solution.
Answers
This graph would be a straight line across 3, shading above
-1.3125 as a fraction in simplest form
Answers
Answer: - 21/16 = 15/16 (simplified)
= - 1.3125 convert decimal to fraction
= - 13125/10000
= - 21/16 = 15/16 (simplified)
please help !!!!!.......
Answers
Answer:
6
Step-by-step explanation:
vhbhbububjbvuvhjuvvbihjbuvi
Answers
Answer:
thanks
Step-by-step explanation:
:) hahahahahah
Dana‘s dozen muffins bran muffins two total muffins 6chocolate chip
3 bran
2 banana nut
1 blueberry
Answers
Answer:
2 i think and 1
Step-by-step explanation:
hope it helps ☺️ tnxx
4/5 • 5/4 = 1 Determine the property illustrated.
Answers
The algebraic property illustrated is the commutative property of multiplication
What are the properties of algebra?
The properties of algebra are those properties mostly used in simplifying algebraic expressions.
Algebraic properties are:
Commutative property of additionCommutative property of multiplicationAssociative property of additionAssociative property of multiplicationDistributive Properties of Addition Over MultiplicationFrom the expression given we have
4/5 • 5/4 = 1
= 4/ 5 × 5/ 4
= 1
Thus, the algebraic property illustrated is the commutative property of multiplication
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If the line segment AB is on a number line, and point A is at 6 and Point B is at 13, then the length of AB is ____.
Answers
Answer:
7
Step-by-step explanation:
The length of AB is the distance between A and B which is B-A -> 13-6= 7
What is the equation of the line of symmetry for the parabola represented by the equation
y = –22 + 2x + 6?
Answers
Answer:
a
Step-by-step explanation:
help please: A 15 foot long section beam weighs 3,520 pounds. What is the weight of a 3 foot long section of the beam?
Answers
Answer:
704 pound's
Step-by-step explanation:
What I did was divided 15 by the 3 and then I got 5 which I divided 3520 pound's by 5 which equals 704 pounds. Hope this helps.
which has the benefit of being cheaper and easier to conduct than conducting a study of an entire population. however, this method leaves room for possible error because you're not observing every member of the student body (the population). ultimately, the goal of inferential statistics is to use sample statistics to make inferences about population parameters.
Answers
This method uses a sample of the population mean to make generalizations about the whole, but can introduce error due to not observing the whole population.
The goal of inferential statistics is to use sample statistics to make inferences about population parameters. This is done by taking a sample of the population, usually a relatively small one, and using it to draw conclusions about the entire population. This method has the benefit of being much cheaper and easier to conduct than studying an entire population, however, it leaves room for error because it does not observe every member of the population. If the sample is not representative of the population, it can lead to faulty conclusions about the population as a whole. Additionally, if the sample size is too small, it may not be able to accurately represent the population. Therefore, it is important to carefully consider the sample size, as well as the representativeness of the sample, in order to draw reliable conclusions from inferential statistics.
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