estimate the answrer by rounding each fraction to the nearest whole or half and then subtracting
Answers
The estimation of the fractions to the nearest whole number is [tex]5\frac{13}{40}[/tex]
How to subtract fractions?
The fractions are in mixed fractions. Let's convert it to improper fraction and do the arithmetic.
Therefore,
[tex]8\frac{1}{5} - 2\frac{7}{8}[/tex]
[tex]8\frac{1}{5}=\frac{41}{5}[/tex]
[tex]2\frac{7}{8} =\frac{23}{8}[/tex]
Therefore,
[tex]\frac{41}{5} -\frac{23}{8} = \frac{328-115}{40} =\frac{213}{40}[/tex]
Hence,
[tex]\frac{213}{40} =5\frac{13}{40}[/tex]
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Related Questions
Collection of domestic animals is a set. However, a collection of big domestic animal is not a set. How do you justify this statement?
Answers
Collection of domestic animals is a set. However, a collection of big domestic animal is not a set as it is a subset.
What are Domesticated animals?Domestic animals are known to bee dogs, cats, etc. that can live along with humans.
Note that Collection of domestic animals is a set but the collection of big domestic animal is a subset of domestic animals this is because the big domestic animal are part of the domestic animals and as such it will be a subset.
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verify the identity
tan 0-cot 0 / tan 0 + cot 0 (not on the same line) + 2cos^2 0=1
Answers
Answer:
See below for the proof of the identity
Step-by-step explanation:
I read your statement as [tex]\displaystyle \frac{\tan\theta-\cot\theta}{\tan\theta+\cot\theta}+2\cos^2\theta=1[/tex]:
[tex]\displaystyle \frac{\tan\theta-\cot\theta}{\tan\theta+\cot\theta}+2\cos^2\theta\\\\\frac{\frac{\sin\theta}{\cos\theta}-\frac{\cos\theta}{\sin\theta}}{\frac{\sin\theta}{\cos\theta}+\frac{\cos\theta}{\sin\theta}} +2\cos^2\theta\\\\\frac{\frac{\sin^2\theta-\cos^2\theta}{\sin\theta\cos\theta}}{\frac{\sin^2\theta+\cos^2\theta}{\sin\theta\cos\theta}} +2\cos^2\theta\\\\\frac{\frac{\sin^2\theta-\cos^2\theta}{\sin\theta\cos\theta}}{\frac{1}{\sin\theta\cos\theta}} +2\cos^2\theta[/tex]
[tex]\displaystyle \sin^2\theta-\cos^2\theta+2\cos^2\theta\\\\\sin^2\theta+\cos^2\theta\\\\1[/tex]
Thus, the identity is proven.
7. Choose the correct equation for the statement:
When the sum of 3 consecutive even integers is divided by 6, the quotient is 8.
A
3n+3
=
= 8
6
B
3n+6+6=8
I
3n+6
= 8
6
n+n+2+n+4:6=8
Answers
Let's see
The integers be
nn+2n+4So their sum
n+n+2+n+4Divided by 6
n+n+2+n+4/6Tune down into ratio
n+n+2+n+4:6Put final equation on line
n+n+2+n+4:6=8Spare equations
3n+6:6=8The correct equation for the statement: 3n+6:6=8
What is Algebra?Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols. In elementary algebra, those symbols (today written as Latin and Greek letters) represent quantities without fixed values, known as variables.
Let the three consecutive integers be
nn+2n+4So their sum
n+n+2+n+4
and,
=n+n+2+n+4/6
=(3n+6)/6
= (n+2)/6
Hence, correct equation for the statement: 3n+6:6=8
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A snail can move 5 inches in 6 minutes. At this rate, how many feet can it move in 48 hours?
A. 40
B. 3
C. 200
D. 11
Answers
Answer:
Hi the answer is A. 40
A container built for transatlantic shipping is constructed in the shape of a right rectangular prism. Its dimensions are 8.5 ft by 15 ft by 14 ft. If the container is entirely full and, on average, its contents weigh 0.05 pounds per cubic foot, find the total weight of the contents. Round your answer to the nearest pound if necessary
Answers
Answer:
empezando multiplicar todos los números seria un total de 1785 que lo pondremos con m3 que un metro cubico seria 1000L entonces con los 1785 los ponemos por 1 000
Step-by-step explanation:
respuesta 1 785 000
Which statement explains how you could use coordinate geometry to prove that quadrilateral ABCD is a parallelogram? coordinate plane with quadrilateral ABCD at A 0 comma 0, B 5 comma negative 1, C 3 comma negative 5, and D negative 2 comma negative 4
Answers
The correct statement is to Prove that opposite sides are congruent and that the slopes of consecutive sides are opposite reciprocals.
What is a quadrilateral?A quadrilateral is a polygon with 4 number of sides and 4 vertices. A few examples of a quadrilateral are square, rectangle, rhombus, parallelogram, etc.
The statement that explains how you could use coordinate geometry to prove that quadrilateral ABCD is a parallelogram is "Prove that opposite sides are congruent and that the slopes of consecutive sides are opposite reciprocals".
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A motorcycle that regularly sells for 1,450 was discounted by 40% off
Answers
Answer:
$870.00 is the motorcycle price after a 40% discount
Step-by-step explanation:
discount = original price x discount % / 100
discount = 1450 x 40 / 100
discount = 1450 x 0.4
discount = $580.00
Final Price = Original Price - Discount
Final Price = 1450 - 580
Final Price = $870
Find the equation of a line that passes through the points (2,5) and (2,12)
Answers
We know the following:
[tex]\text{Slope formula} = \dfrac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]
Note: Slopes can only be determined if the lines are not vertical.
Since the x-coordinate of the points that pass through the line are the same, when the points are substituted in the slope formula, the slope will result in "undefined" (Work shown below).
[tex]\text{Slope formula} = \dfrac{12 - 5}{2 - 2}[/tex]
[tex]\text{Slope formula} = \dfrac{7}{0} = \text{unde}\text{fined} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\text{Any non-number divided by 0 is unde}\text{fined}][/tex]
Now, let's see if the vertical line will intersect the x-axis or a y-axis.
Determining if the line will intersect the x or y-axisTo determine if the vertical line will intersect the x or y-axis, we must look for the intersection of the line on the x or y-axis. The vertical line will be parallel to the y-axis and will intersect the x-axis.
Therefore, the line will intersect the x-axis.
Replacing values in an equation:Since the line does not intersect the y-axis, the equation of the line on the left-hand side will have an x-variable.
⇒ x = ?
The x-intercept will be substituted on the right-hand side of the equation. Since the line that passes through the two points [(2,5) and (2,12)] have the "2" as their x-coordinates, the x-intercept will also be 2. Therefore,
⇒ x = 2
An architect is designing a slanted ramp that connects to a loading dock. The vertical distance between the ground and the loading dock is 5 feet. The ramp meets the ground at a 15° angle. How far is the base of the ramp from the base of the loading dock?
1.34 feet
4.38 feet
5.84 feet
18.66 feet
Answers
Answer:
5.84 feet hope this help you!!
PLEASE HELP ANSWER BOTH PARTS!!! DUE SOON
Answers
Answer:
c. 69
b. 7
Step-by-step explanation:
would very much appreciate it if you guys helped out
Answers
The solutions x = -7 and x = 1 can be written as:
(x+7)(x-1) = 0
(Because you find the solution values for x from the brackets e.g (x+7) to get x=-7, dunno how to explain it better sry)
From which you can expand the brackets and find the answer in quadratic form.
(x+7)(x-1) = 0
Expand the brackets
x^2 + 7x – x – 7 = 0
x^2 + 6x – 7 = 0
John is going to plant spinach in a rectangular area of his garden. The rectangle is 11 feet long and 7 feet wide. What is the area of this rectangle?
Answers
Answer:
The area of rectangle is 77 sq ft.
11 x 7 = 77
Find the surface area of the pyramid. The side lengths of the base are equal.
Pls answer fast!
Answers
The parent teacher association is raising money for a new swing set. They need $682.56 to purchase the swing set and receive a $200.00 donation. The remaining amount will be equally divided among 8 different student groups to raise. How much money will each student group need to raise in order to purchase the swing set? Record your answer to the hundredths place.
Answers
Answer:
Total amount to be raised by the 8 student groups = Total amount required - Donation = $682.56 - $200.00 = $482.56Amount to be raised bu each group ...
Step-by-step explanation:
Drag each line to the correct location on the image. Not all lines will be used.
Match the lines of best fit to the scatter plots.
Answers
Answer:
I am not sure if this is correct but:
Step-by-step explanation:
Last one! I promise brainliest!
Answers
Step-by-step explanation:
1. You have to find the gradient / slope from y = 5x + 20
y = 5x + 20
y = mx + c
With using a general form, we known that the gradient of the line is 5.
2. Use the formula "[tex]y - y_1 = m.(x - x_1)[/tex]" to find the line.
[tex]y - y_1 = m.(x - x_1)[/tex]
[tex]y - 10 = 5.(x - 0)[/tex]
[tex]y = 5x - 0 + 10[/tex]
[tex]y = 5x + 10[/tex]
Answer:
y = 5x + 10.
Step-by-step explanation:
Y = 5x + 20
The gradient m = 5
So the line parallel to it has a gradient of 5 also.
Using the point slope form of straight line:
y - y1 = m(x - x1)
Here, m = 5, x1 = 0 and y1 = 10:
y - 10 = 5(x - 0)
y - 10 = 5x
y = 5x + 10.
Find the volume of the cylinder.
Answers
Step by step explanation;
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[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
What is the volume of the cylinder?
[tex]\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]
[tex]\textsf{Volume of a Cylinder:-}[/tex]
[tex]\dashrightarrow\boxed{\bold{V=\pi r^2h}}}\dashleftarrow[/tex]
Where
V = volume
π = pi (3.14...)
r=radius
h=height
Given:-
r=5
h=6
Notice that we're asked to use 3.14 for π.
Plug in the values:-
[tex]\bold{V=3.14 (5^2)(6)}[/tex]
On further simplification,
[tex]\bold{V=3.14(25)(6)}[/tex]
[tex]\bold{\underline{V=471}}[/tex] units³
Good luck.
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42 of the 50 coffee mugs at Nicole's Pancake House are dirty. What percentage of the
coffee mugs at the pancake house are dirty?
Answers
Answer:
84%
Step-by-step explanation:
of the means division.
42/50 = 84/100 = 84%
The percentage of the dirty coffee mugs at the pancake house will
be 84%.
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
Given that;
Total number of coffee mugs = 50
Dirty coffee mugs = 42
Now,
The percentage of the dirty coffee mugs at the pancake house is calculated as;
Percent = 42 / 50 x 100
= 0.84 x 100
= 84%
Thus, The percentage of the dirty coffee mugs at the pancake house will
be 84%.
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I need a answer quick!
Answers
Answer:
I normally just plug these into desmos.
Step-by-step explanation:
in the figure, p||q. On a recent math test, Jacob incorrectly listed the value of w as 101.
Find the value of w.
What mistake did Jacob likely make?
Answers
Answer:
x = 79
Step-by-step explanation:
Part A:
It's stated that line p and line q are parallel, if it is so then the angle represented with w and the angle with measure 79 are alternate and their measure is equal to each other:
Part B:
Jacob likely thought angle represented with W and the angle with the measure 101 are alternate so he made a mistake and found wrong result.
If the mean is 50 and the standard division is 10 what is the probability that a randomly selected item is between 20 and 60
Answers
Answer:
84%
Step-by-step explanation:
Okay, I want to work out the chance that was between 20 and 60. Other words will find the area. 20 2 60 this area here. And the answer is because the area under the curve is always one in total. So the workout p of 20, less than x. Less than 60 here. I need a calculator And the input on the TI 84 plus is as follows, you press the second blue button, second, followed by vars V A R S, that's by the arrow keys on the right, that brings up the menu for distributions and what you want is normal C D E F Number two on the list, so normal C D E F. You press enter and it was a lower upper, lower is 20 upper is 60. The mean is 50 and the standard deviation is 10, There's a four number input. So 20 for lower 60 for upper 50 for the mean And 10 for the s. d. Standard deviation so, and then paste that onto the screen and press enter and we get 0.83999. And hear what they want. There's a percent to have some more places.
Therefore, it will be 84.00 percent. The two decimal places
31. The vector i represents 1 mile per hour east, and the
i
vector j represents 1 mile per hour north. Maria is
jogging south at 12 miles per hour. One of the
following vectors represents Maria's velocity, in miles
per hour. Which one?
A. -12i
B. -12j
C. 12i
D. 12j
E. 12i + 12j
Answers
Answer:
B
Explanation:
The north is opposite to the south
So the vector [tex]j[/tex] represents 1 mile per hour south.
Maria is jogging south at 12 miles per hour.
Therefore, the vectors [tex]12j[/tex] represents Maria's velocity. The correct answer is B.
The vector used to represent the position of Maria is -12j.
What is Vector?A measurement with a magnitude and direction. It is often represented by an arrow whose length is proportional to the magnitude of the quantity and whose direction is the same as that of the quantity. A vector does not have position, while having magnitude and direction.
Given:
vector i represents 1 mile per hour east
and, vector j represents 1 mile per hour north
Now, the position of north is opposite to south
Now, Maria is jogging south at 12 miles per hour.
So, the vector used to represent the position of Maria is -12j.
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Corbin made a scale model of the San Jacinto Monument. The monument has an actual height of 604 feet. Corbin's model used a scale in which 1 inch represents 100 feet. What is the height in inches of Corbin's model?
Answers
The height of Corbin's model given the actual height of the monument and the scale of the model is 6.04 inches.
What is the height of the model?A scale model is smaller representation of a bigger object / drawing. The scale model is reduced by constant dimensions.
The height of Corbin's model = 604 / 100 = 6.04 inches
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Micky can clean a house in 3 hours. Denise can clean the same house in 9 hours. How long will it take them to clean the house if they work together
Answers
Answer:
9 - 3 = 6.
Therefore, the answer equals to 6 hours .
I hope this helps :))
Step-by-step explanation:
60 students study a language at a school.
Each student either studies French or German.
36 of the students are boys.
2/3 of the boys study French
40 students study French
Use this information to complete the frequency tree
Answers
How to fill the frequency tree?
The number of girls = total number of students - total number of boys
60 - 36 = 24
The number of boys that study French = 2/3 x 36 = 24
The numbber of boys that study German = 36 - 24 = 12
The number of girls that study French = 40 - 24 = 16
The number of girls that study German = 24 - 16 = 8
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Pls help I have no idea what any of this is.
Answers
Answer:
Sine is an Odd B answer
Step-by-step explanation:
So basically it's B
Text book
Felicity has two $10 and a $5 bill. She spends
$8.20 on a game and $4.80 on a poster.
How much money does she have left?
Answers
Answer:
$12
Step-by-step explanation:
8.20 plus 4.80 would equals 13
so 13 subtracted by 25 equals 12
8.20+ 4.80= 13
25-13=12
Question 3 of 10
Which equation represents the slope-intercept form of the line below
Answers
Answer:
[tex]y = \frac{1}{2}x + 8[/tex]
Step-by-step explanation:
The general slope-intercept equation is: y = mx + b.
In this equation, "m" is equal to the slope and "b" is equal to the y-intercept.
Since the slope is "1/2", then this is the "m" value.
Since the line passes the y-axis at "8" when x = 0, then "b" must be "8".
Therefore, the equation of the function in slope-intercept form is [tex]y = \frac{1}{2}x + 8[/tex].
The data set shows the weights of pumpkins, in pounds, that are chosen for a photograph in a farming
magazine
18 22 14 30 26
(a) What is the mean of the data set?
Answers
Hey there!
What is the mean of the data set?
Answer :22 ✅
Explanation:You first have to know what is a mean (or average) :
MEAN : Sum of values divided by the number of values.
[tex] \text{mean} = \frac{sum \:of\: the \:values}{number \: of \: values} \\ \\ \Longrightarrow \frac{18 + 22 + 14 + 30 + 26}{ 5 } \\ \\ \Longrightarrow \frac{110}{5} \\ \\ \Longrightarrow \red{\boxed{\blue{22}}} [/tex]
Therefore, the mean of the data set is 22.
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The mean can be calculated by determining the sum of the chosen pumpkins and dividing it by the total pumpkins chosen for the photograph.
Sum of the chosen pumpkins: 18 + 22 + 14 + 30 + 26Total pumpkins chosen: 5 pumpkinsTherefore, the fraction that represents the mean is:
[tex]\dfrac{18 + 22 + 14 + 30 + 26}{5}[/tex]
When we simplify the fraction, we get:
[tex]\implies \dfrac{18 + 22 + 14 + 30 + 26}{5}[/tex]
[tex]\implies \dfrac{40 + 14 + 30 + 26}{5}[/tex]
[tex]\implies\dfrac{70 + 14 + 26}{5}[/tex]
[tex]\implies\dfrac{70 + 40}{5}[/tex]
[tex]\implies\dfrac{110}{5} = 22[/tex]
Therefore, the mean of the data set is 22.
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Six statements were made about the figures below. Record the letter of the 3D figure that matches each student’s statement.
Answers
The answer will be 1-sphere,2-Triangular pyramid,3-cube,4-Triangular prism,5-Cylinder,6-Rectangular pyramid
What are the figures?The figures can be sphere, cylinder, cube,pyramid,prism etc.We have to match the description with their correct solid name.
figure where all points are the same distance from the center, is called sphere.
1-sphere
figure made of all triangles.That figure is called a triangular pyramid.
2-Triangular pyramid
figure with six congruent squares is called a cube.
3-cube
figure with two triangle bases and rectangles for the rest of its faces.That figure is called a triangular prism.
4-Triangular prism
figure with circular bases is called a cylinder.
5-Cylinder
figure with a rectangle as a base and a triangle for the rest of its bases.
That figure is called a rectangular pyramid.
6-Rectangular pyramid
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