Estimate the answer by rounding each fraction to the nearest whole number and then subtracting.
Answers
Answer:
5
Step-by-step explanation:
estimated would be 8 - 3
To solve the problem we must know about fractions.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction [tex]\frac{1}{4}[/tex] can be described as 0.25
What is a Mixed Fraction?A mixed fraction is a fraction that contains a whole number and a fraction whose denominator is greater than the numerator.
The solution to this problem is [tex]5\dfrac{13}{40}[/tex].
Given to us
[tex]8\frac{1}{5}-2\frac{7}{8}[/tex]
Converting the mixed fractions to fraction
[tex]8\dfrac{1}{5}-2\dfrac{7}{8}\\\\=\dfrac{(8 \times 5)+1}{5}-\dfrac{(8\times 2)+7}{8}\\\\=\dfrac{41}{5}-\dfrac{23}{8}\\\\[/tex]
Taking LCM,
[tex]=\dfrac{41\times 8}{5\times 8}-\dfrac{23\times 5}{8\times 5}\\\\=\dfrac{328}{40}-\dfrac{115}{40}\\\\=\dfrac{328-115}{40}\\\\=\dfrac{213}{40}[/tex]
Converting to Mixed Fractions,
[tex]=5\dfrac{13}{40}[/tex]
Hence, the solution to this problem is [tex]5\dfrac{13}{40}[/tex].
Learn more about Fraction:
https://brainly.com/question/1301963
Related Questions
18 is the product of 6 and x.
how would i show my work
Answers
Answer:
3
Step-by-step explanation:
x x6=18
x=3
Answer:
(18=6 times x) you would divide both sides by 6 since inverse operations and to leave the x by itself. 18/6 is 3 so 3=x
Caden's savings account had $ 70 $70dollar sign, 70 in its first year. Each year since then, his account accumulated interest amounting to 10 % 10%10, percent of the balance in the previous year. Let f ( n ) f(n)f, left parenthesis, n, right parenthesis be Caden's account balance at the n th n th n, start superscript, start text, t, h, end text, end superscript year of the saving. f ff is a sequence. What kind of sequence is it? Choose 1 answer: Choose 1 answer: (Choice A) A Arithmetic sequence (Choice B) B Geometric sequence Complete the recursive formula for f ( n ) f(n)f, left parenthesis, n, right parenthesis. f ( 1 ) = f(1)=f, left parenthesis, 1, right parenthesis, equals f ( n ) = f ( n − 1 ) f(n)=f(n−1)f, left parenthesis, n, right parenthesis, equals, f, left parenthesis, n, minus, 1, right parenthesis +/⋅
Answers
Answer:
f is a geometric sequence.
f(1)=70
f(n)=f(n−1)⋅1.1
Step-by-step explanation:
hope this helps
please mark me as brainliest!
What number is represented by point B?
4/5
1 4/5
1 5/4
2 1/5
Answers
Answer:
1 5/4
Step-by-step explanation:
25
Evaluate the expression a^2+b+3 for each set of given values. Enter each
number in the provided box. If a=4 and b=3 (HINT: substitute the variables
then solve)
Answers
Answer:
22
Step-by-step explanation:
a^2+b+3 and a=4, b=3
4^2+3+3
16+3+3
22
Solve for the missing side of the triangle.
Round off answer to the nearest thousandths
(3 decimal places)
SOH CAH TOA
x =
239
14
Х
Answers
Answer:
x = 5.943
Step-by-step explanation:
Reference angle = 23°
Side opposite to reference angle = x
Adjacent side = 14
Therefore, we would apply TOA to find x.
Thus:
tan (23) = x/14
Multiply both sides by 14
14 × tan(23) = x
5.94264742 = x
x = 5.943 (to 3 decimal places)
If 10% of a number is 44, 5% of the number is
Answers
Answer:
22
Step-by-step explanation:
I hope this helps <3
Compare -5 and -3.
Answers
Answer:
Simplifying then comparing both terms
−5 and −3, −5 is less than −3, which means that the first term is less than the second term. −5 < −3
Step-by-step explanation:
Hope this helps have a good day^^
Solve for x using the exterior angle theorem.
Answers
Answer:
x=9.16666...
Step-by-step explanation:
Please help, make sure to do a step by step so i'm not cheating, i just need some help .
Answers
Solve for x. Write the reasons next to each step.
(2x - 6)
(x + 40)
Answers
Answer:
The answer for first one is,
[tex]2(x - 3)[/tex]
sorry I don't know the answer for second one.
can you write a equation with a slope of 3 and a y-intersept of (0,4)
Answers
Answer:
y=3x+4
Step-by-step explanation:
y=mx+b
m=3
b=4
just plug it in
help me with this please
Answers
Answer:
1. Sine A = 3/5
2. Cos A = 4/5
3. Tan A = 3/4
4. Sine B = 4/5
5. Cos B = 3/5
6. Tan B = 4/3
Step-by-step explanation:
1. Determination of Sine A
Opposite = 3 in
Hypothenus = 5 in
Sine A =?
Sine A = opposite / Hypothenus
Sine A = 3/5
2. Determination of Cos A
Adjacent = 4 in
Hypothenus = 5 in
Cos A =?
Cos A = Adjacent / Hypothenus
Cos A = 4/5
3. Determination of Tan A
Opposite = 3 in
Adjacent = 4 in
Tan A =?
Tan A = opposite / Adjacent
Tan A = 3/4
4. Determination of Sine B
Opposite = 4 in
Hypothenus = 5 in
Sine B =?
Sine B = Opposite / Hypothenus
Sine B = 4/5
5. Determination of Cos B
Adjacent = 3 in
Hypothenus = 5 in
Cos B =?
Cos B = Adjacent / Hypothenus
Cos B = 3/5
6. Determination of Tan B
Opposite = 4 in
Adjacent = 3 in
Tan B =?
Tan B = opposite / Adjacent
Tan B = 4/3
What is 35% divided by 200
Answers
Answer:
0.00175
Step-by-step explanation:
The ratio x : y is 1 : 3
Which of the following statements are correct?
A) x is 1/3 of y
B) y is 3/4 of (x + y)
C) x is 1/4 of y
D) y is 3/4 of x
Answers
Answer:
A. x is ⅓ of y
Step-by-step explanation:
x : y
= 1 : 3
Therefore,
x = 1
y = 3
If so x is 1/3 of y
What is the interval of convergence
Answers
Answer:
The interval of converges of a power series is the interval of input values for which the series converges.
Step-by-step explanation:
describe what is being done in each step while solving the equation -2x + 6 +6x = 6 ( 2x -3 )
-2x + 6 + 6x = 12x - 18
4x + 6 = 12x - 18
6 = 8 × - 18
24 = 8x
3=x
please solve!
Answers
-2x + 6 + 6x = 6 (2x - 3) this is the equation
-2x + 6 + 6x = 12x - 18 distributive property has been applied
4x + 6 = 12x - 18 like terms have been added
6 = 8x -18 4x has been subtracted from both sides
24 = 8x -18 has been added to both sides
3 = x 8 has been divided from both sides
I hope this helps! Let me know if I need to explain more or if I got something wrong. Have a nice day!
5^(11x+23)=125^(7x)
how to solve for x
Answers
First... 5^11x-23=5^21x
Cancel out the 5
Secondly... 11x+23 =21x
Switch 21 and 23 to make...
11x=21x-23. Switch again to make...
11x-21x=23
Now subtract 11 and 21
-10x=-23
Divide to get
x=23/10 or x=2.3
A sculptor uses a constant volume of modeling clay to form a cylinder with a large height and a relatively small radius. The clay is molded in such a way that the height of the clay increases as the radius decreases, but it retains its cylindrical shape. At time t=c, the height of the clay is 8 inches, the radius of the clay is 3 inches, and the radius of the clay is decreasing at a rate of 1/2 inch per minute.
Write an expression for the rate of change of the radius of the clay with respect to the height of the clay in terms of height h and radius r.
Answers
Answer:
[tex]\frac{dr}{dh} =-\frac{r}{2h}[/tex]
Step-by-step explanation:
The volume of a cylinder is given by the formula:
V = πr²h,
Where V is the volume, r is the radius of the cylinder and h is the height of the cylinder.
We are to express the rate of change of the radius of the clay with respect to the height of the clay in terms of height h and radius r.
That means we express dr / dh in terms of height h and radius r. To do this, we have to first differentiate the volume with respect to the height, i.e. find dV / dh:
V = πr²h
[tex]\frac{dV}{dh}= \frac{d}{dh} (\pi r^2h)\\\\\frac{dV}{dh}= \pi r^2 + 2\pi rh \frac{dr}{dh} \\\\The\ volume\ is\ constant\ hence\ \frac{dV}{dh}=0.\ We\ get\ that:\\\\0= \pi r^2 + 2\pi rh \frac{dr}{dh}\\\\- \pi r^2 =2\pi rh \frac{dr}{dh}\\\\ \frac{dr}{dh}=-\frac{\pi r^2}{2\pi rh}\\\\ \frac{dr}{dh}=-\frac{r}{2h}[/tex]:
The function f is defined as follows for the domain given.
f(x) = 2–2x domain = (-1,0, 1, 2}
Write the range of f using set notation. Then graph f.
Answers
Answer:
The range of the function in ascending order is:
Range R = {-2, 0, 2, 4}
Step-by-step explanation:
Given the function
f(x) = 2-2x
We know that the domain of the function is the set of input or arguments for which the function is real and defined.
In other words,
Domain refers to all the possible sets of input values on the x-axisAs the domain of the function is given such as
Domain D = {-1, 0, 1, 2}
Determining the range
We also know that range is the set of values of the dependent variable for which a function is defined.
In other words,
Range refers to all the possible sets of output values on the y-axis.
As the domain is
Domain D = {-1, 0, 1, 2}
FOR x = 1
substitute x = -1 in the function
f(x) = 2-2x
f(-1) = 2-2(-1) = 2+2=4
so
at x = -1, y = 4
FOR x = 0
substitute x = 0 in the function
f(x) = 2-2x
f(-1) = 2-2(0) = 2-0=2
so
at x = 0, y = 2
FOR x = 1
substitute x = 1 in the function
f(x) = 2-2x
f(-1) = 2-2(1) = 2-2=0
so
at x = 1, y = 0
FOR x = 2
substitute x = 2 in the function
f(x) = 2-2x
f(-1) = 2-2(2) = 2-4=-2
so
at x = 2, y = -2
Thus combining all the output or y values correspond to the given input values, we get the range of the function.
Thus, the range of the function in ascending order is:
Range R = {-2, 0, 2, 4}
Use Structure The area of a rectangular
playground has been extended on one side.
The total area of the playground, in square
meters, can be written as 352 +22x.
Rewrite the expression to give a possible set
of dimensions for the playground,
Answers
Answer:
The width and length of the rectangle are [tex]22[/tex] and [tex]16+x[/tex], for [tex]x > -16[/tex], respectively.
Step-by-step explanation:
From Geometry, we remember that area of the rectangle ([tex]A[/tex]) is defined by:
[tex]A = w\cdot l[/tex] (1)
Where:
[tex]w[/tex] - Width.
[tex]l[/tex] - Length.
In addition, we know that area is described by a first-order polynomial:
[tex]A = 352+22\cdot x[/tex] (2)
Meaning that is the product of another first-order polynomial and a constant. That is:
[tex]A = a\cdot (b+c\cdot x)[/tex] (3)
Now we determine the Great Common Divisor of 352 and 22:
[tex]352 = 2\times 2\times 2 \times 2 \times 2 \times 11[/tex]
[tex]22 = 2\times 11[/tex]
The Great Common Divisor is 22.
Then, the area of the rectangle can be expressed by this expression:
[tex]A = 22\cdot (16+x)[/tex] (3b)
According to this, the width and length of the rectangle are [tex]22[/tex] and [tex]16+x[/tex], for [tex]x > -16[/tex], respectively.
Carrie invests £800 for 4 years at 3% interest per year.
How much interest does she earn?
Answers
Answer:
13
Step-by-step explanation:
on a scale drawing of a park, the sand box is 2 inches wide. The actual sand box is 8 feet wide. What is the scale of the drawing.
Answers
2 inches : 8 feet
simplified scale:
1 inch : 4 feet
Which sentence correctly compares the rates Bill and Kevin drove on their trips? (A) Bill drove at a rate that was 10 miles per hour slower than the rate Kevin drove. (B) Bill drove at a rate that was 10 miles per hour faster than the rate Kevin drove. (C) Bill drove at a rate that was 20 miles per hour slower than the rate Kevin drove. (D) Bill drove at a rate that was 20 miles per hour faster than the rate Kevin drove.
Answers
Answer:
Not sure
Step-by-step explanation:
If Fran were to paint her living room alone, it would take 6 hours. Her sister Denise
could do the job in 8 hours. How long would it take them working together? If needed,
submit your answer as a fraction reduced to lowest terms.
Answers
Answer:
It will take Fran and Denise [tex]3\frac{3}{7}[/tex] hours to paint the living room.
Step-by-step explanation:
Given that:
Time taken by Fran to paint living house = 6 hours
Time taken by Denise = 8 hours
Let,
x be the time taken by both of them.
[tex]\frac{1}{Fran's\ share}+\frac{1}{Denise's\ share}=\frac{1}{x}\\\\\frac{1}{6}+\frac{1}{8}=\frac{1}{x}\\\\\frac{4+3}{24}=\frac{1}{x}\\\\\frac{7}{24}=\frac{1}{x}\\\\x = \frac{24}{7}[/tex]
[tex]x = 3\frac{3}{7}[/tex] hours
Hence,
It will take Fran and Denise [tex]3\frac{3}{7}[/tex] hours to paint the living room.
Solve the system by substitution.
2x + 10y = -32
x = -9y
Answers
Answer:
point form (-36,4) equation form x=−36,y=4
Step-by-step explanation:
Given g(x)= 3x−4, solve for x when g(x) =5.
Answers
Answer:
x = 3
Step-by-step explanation:
5 = 3x - 4
9 = 3x
x = 3
Review the proof.
Which expression will complete step 3 in the proof?
Answers
How can I complete step 3 in proof and review it what is step 3
Which function has the graph with the greatest y-intercept?
Answers
Answer:
The greatest y-intercept c = 6
Step-by-step explanation:
we know that
slope-intercept form y = mx +c
a) Given that f(x) = [tex]6x + \frac{1}{6}[/tex]
[tex]y = 6x + \frac{1}{6}[/tex]
comparing y = mx +c
slope of the line m = 6 and Y - intercept c= 1/6
b) Given that f(x) = [tex]6x -6[/tex]
y = 6x -6
comparing y = mx +c
slope of the line m = 6 and Y - intercept c= -6
c)
Given that f(x) = [tex]\frac{1}{6} x +6[/tex]
y = [tex]\frac{1}{6} x +6[/tex]
comparing y = mx +c
slope of the line m = [tex]\frac{1}{6}[/tex] and Y - intercept c= 6 ( greatest intercept)
d)
Given that 6 k(x) = x
k(x) = [tex]\frac{1}{6} x[/tex]
y = [tex]\frac{1}{6} x[/tex]
comparing y = m x +c
The slope of the line m =[tex]\frac{1}{6}[/tex] and Y-intercept c=0
Final answer:-
The greatest y-intercept c = 6
Answer:
C. h(x)=1/6x+6
Step-by-step explanation:
Can someone please answer 19,20,21 please and thank you!!
Answers
The answer for 20 is 8607
The answer for 21 is 85.10
Even though I am a senior in high school I know the answer
-2/4 times 344/9=?
Please help me . I dont really understand this question.
Answers
Answer:
-19 1/9
Step-by-step explanation:
