3.02 as a mixed number
Answers
You can identify that the number given in the exercise is a Decimal Number because it has a decimal point.
Then, to convert to a Mixed Number, you can follow the steps shown below:
1. Identify the decimal part of the number and the whole part.
2. Separate them using the symbol + :
\(3.02=3+0.02\)2. Let's focus on the decimal part. Write 1 is its denominator:
\(\frac{0.02}{1}\)3. To express the numerator as an Integer, multiply the numerator and the denominator by 100 (to move the decimal point to places to the right):
\(=\frac{0.02\cdot100}{1\cdot100}=\frac{2}{100}\)4. Reduce the fraction:
\(=\frac{1}{50}\)5. Now you can write the Mixed Number as follows:
\(3.02=3\frac{1}{50}\)Therefore, the answer is:
\(3\frac{1}{50}\)Related Questions
solve for x
\(\bold{4x - 64 = 0}\)
ty! ~
Answers
Answer:
\(\tt x = 16\)
Step-by-step explanation:
\(\tt 4x-64=0\)
Add 64 to both sides.
\(\tt 4x - 64 + 64 = 0+ 64\)
Simplify.
\(\tt 4x = 64\)
Divide both sides by 4.
\( \tt \cfrac{4x}{4} = \cfrac{64}{4} \)
Simplify.
\(\tt x = 16\)
Done!!!
\(\Large\maltese\star\underline{\textbf{What is Asked}}\star\maltese\)
Solve for x. \(\bf{4x-64=0}\).\(\Large\maltese\star\underline{\textbf{The required answer is below -:}}\star\maltese\)
First we need to add 64 to both sides. That way, we will be one step closer to solving this in terms of x.
\(\bf{4x-64+64=0+64}\) | on the left side the 64's sum to zero
\(\bf{4x=0+64}\) | the right side is now 64
\(\bf{4x=64}\) | divide the equation by 4
\(\bf{x=16}\)
\(\cline{1-2}\)
\(\gray\star\bf{Result / Required\;Answer:}\)
\(\star\blacksquare\Large\boxed{\boxed{\bf{X=16.}}}\blacksquare\star\)
Key to solving this problem -:When you're solving an equation in terms of x, or any other variable, use inverse operations to solve it. For instance, if something is added to x, use subtraction. If something is subtracted to x, use addition.
If x is multiplied by something, use division. If x is divided by something, use multiplication.
\(\infty\LARGE\boxed{\bf{\brace aesthetic\not1\theta\ell}}\infty\)
5. En una investigación hecha a un grupo de 100 estudiantes, la cantidad de personas que estudian idiomas fueron las siguientes: español, 28; alemán, 30; y francés, 42; español y alemán, 8; español y francés 10; alemán y francés 5; los tres idiomas 3. a) ¿Cuántos alumnos no estudian ningún idioma?
Answers
There are 20 students who do not study any language.
To determine the number of students who do not study any language, we need to subtract the total number of students who study at least one language from the total number of students in the group.
Given the information provided, we can use the principle of inclusion-exclusion to calculate the number of students who study at least one language.
Using the inclusion-exclusion principle, we can calculate the number of students who study at least one language as follows:
Students studying at least one language = Students studying Spanish + Students studying German + Students studying French - Students studying Spanish and German - Students studying Spanish and French - Students studying German and French + Students studying all three languages
Substituting the given values from the question:
Students studying at least one language = 28 + 30 + 42 - 8 - 10 - 5 + 3
Students studying at least one language = 80
Now, we can calculate the number of students who do not study any language:
Students not studying any language = Total number of students - Students studying at least one language
Students not studying any language = 100 - 80
Students not studying any language = 20
20 students do not study any languages, as a result.
for such more question on total number
https://brainly.com/question/19079438
#SPJ8
PLS HELP -
transponder for a toll bridge costs $22.50. With the transponder, the toll is $4 each time you cross the bridge. The only other option is toll-by-plate, for which the toll is $5.25 each time you cross the bridge with an additional administrative fee of $1.25 for each crossing. How many times would you need to cross the bridge for the costs of the two toll options to be the same?
You need to cross the bride _ times?
Answers
Using linear function you would need to cross the bridge 30 times for the costs of the two toll options to be the same.
What is meant by linear function ?To find out how many times you would need to cross the bridge for the costs of the two toll options to be the same, we need to set up an equation.Let x be the number of times you need to cross the bridge.For the transponder option: 22.50 + 4x = costFor the toll-by-plate option: 5.25x + 1.25x = costSince the costs of the two options need to be equal, we can set the two equations equal to each other and solve for x:22.50 + 4x = 5.25x + 1.25x + 22.504x = 5.25x + 1.25x0.75x = 22.50x = 30So you would need to cross the bridge 30 times for the costs of the two toll options to be the same.To learn more about linear function refer:
brainly.com/question/28441514
#SPJ1
How do I solve problems like
5 + 2y = 1
Answers
Answer:
y=-2
Step-by-step explanation:
its like in the paper sorry it if crops out
Simplify please and add a step by step explanation thanks!
Answers
Answer:
y = (x +7)/(x -7)
Step-by-step explanation:
For dividing fractions like this, you can use the relation ...
\(\dfrac{a}{b}\div\dfrac{c}{d}=\dfrac{a}{b}\times\dfrac{d}{c}=\dfrac{ad}{bc}\)
The simplification is done by cancelling common factors from numerator and denominator. In order to do that, we need to factor the numerator and denominator. We see that factors of 2, (x-2), and (x+7) will cancel.
\(y=\dfrac{(2x^2+10x-28)(x+7)}{(x^2-49)(2x-4)}=\dfrac{2(x-2)(x+7)(x+7)}{2(x-2)(x+7)(x-7)}\\\\\boxed{y=\dfrac{x+7}{x-7}}\)
\(\huge\bf\underline{\underline{\pink{A}\orange{N}\blue{S}\green{W}\red{E}\purple{R:-}}}\)
In order to simplify, by cross multiplication we can see that the factors of 2 i.e (x - 2) and (x + 7) will get cancelled.
\(:\implies\sf{y = \frac{(2 {x}^{2} + 10x - 28)(x + 7) }{( {x}^{2} - 49)(2x - 4)} } \\ \\ \\ :\implies\sf{ y = \frac{2(x - 2)(x + 7)(x + 7)}{2(x - 2)(x + 7)(x - 7)} } \\ \\ \\ :\implies\sf{y = \frac{ x+ 7}{x - 7} }\)
1. Find the value of 3x -2x^2 ; when x = -3. ^ means "power of" *
Answers
Answer:
27
Step-by-step explanation:
3x - 2x²
3 × -3 = -9
2 × -3 = -6
-9 - (-6²)
-9 - (-36)
-9 + 36
36 - 9
36 - 9 = 27
NO LINKS!! URGENT HELP PLEASE!!
#13 & 14
Find the measure of the arc or angle indicated. Assume that lines which appear tangent are tangent.
Answers
Answer:
13. 105
14. 55
Step-by-step explanation:
13. angle ? = 1/2 (120 + 90) = 105
14. 130 = 1/2 (205 + ?)
260 = 205 + ?
? = 260 - 205 = 55
Answer:
105° and 55°
Step-by-step explanation:
a chord- chord angle is half the sum of the measures of the arcs intercepted by the angle and its vertical angle.
13
? = \(\frac{1}{2}\) ( QR + DP) = \(\frac{1}{2}\) (120 + 90)° = \(\frac{1}{2}\) × 210° = 105°
-------------------------------------------------------------------
14
\(\frac{1}{2}\) (JV + 205) = 130° ( multiply both sides by 2 to clear the fraction )
JV + 205° = 260° ( subtract 205° from both sides )
JV = ? = 55°
What is the area of this trapezoid?, WILL GIVE BRAINLEST
96 in²
132 in²
168 in²
1344 in²
Answers
Answer:
Your answer is 132 in square
Hope that this is helpful. Tap the crown button to vote, Like & Follow me
Which of the following is NOT equivalent to the other three?
Answers
find the 7th term of G.P :1/6,1/3,2/3
Answers
Answer:
10 2/3
Step-by-step explanation:
The common ratio is 2. Each term is being multiply by 2 to get to the next term.
To find the 7th term you take the first term and multiply that by the common ratio to the n-1 or 6th power.
\(1/6(2)^{6}\) = 10 2/3
Ilustrate the concept of 3 undefined terms and constructa hugot lines for each
Answers
In mathematics, Euclid's three undefined terms are:
point,line, plane.These terms are considered undefined because they cannot be defined in terms of simpler objects.
What is a Hugot Line?"Hugot" is a colloquial term in the Philippines that refers to a type of emotional expression, often expressed in the form of a quote or a line from a song or a movie.
The "hugot" line is meant to be a reflection of a personal feeling or experience and can be used to express longing, heartbreak, unrequited love, and other emotions.
Here are some hugot lines that illustrate these three undefined terms:
"My love for you is like a point, infinitely small but always present.""Our relationship is like a line, it may have its ups and downs, but it always goes on.""My dreams for us are as vast as a plane, with endless possibilities and opportunities."Read more about undefined terms here:
https://brainly.com/question/28733788
#SPJ1
Peter is practicing how to apply the distributive property. In which example(s) did Peter NOT correctly apply the distributive property?
Answers
Answer:
mn
Step-by-step explanation:jhhh
this is a 30-60-90 triangle. what is the measure of X? please explain
Answers
\(x = 10 \sin(60) \\ x = 10 \frac{ \sqrt{3} }{2} \\ x = 5 \sqrt{3} \)
the daily totals of enrollments at sunny side daycare last monday through saturday were 17, 19, 23, 14, 25, and 28
Answers
The average number of enrollments per day at the Sunnyside Daycare is 21.
What is an average?An average is a result obtained by summing some numerical values and then dividing the total by the number of values or variables.
An average is the mean, which is one of the central tendency values.
Data and Calculations:Day Number of Enrollments
Monday 17
Tuesday 19
Wednesday 23
Thursday 14
Friday 25
Saturday 28
Total = 126
Average enrollments = 21 (126/6)
Thus, the average number of enrollments per day at the Sunnyside Daycare is 21.
Learn more about finding average values at https://brainly.com/question/11874959
#SPJ1
Question Completion:What was the average number of enrollments per day?
Please help, thanks!
Answers
The change in function values is f(40) - f(10) = 49 - 55 = -6.
The change in x-values is 40 - 10 = 30.
Therefore, the average rate of change is -6/30, which simplifies to -1/5.
The average rate of change of the function over the interval 10 < x ≤ 40 is -1/5.
Solve for angles x and y in the triangle below. Round your angle to the nearest whole degree.
Solve for both x and y
Answers
\(\tan(y )=\cfrac{\stackrel{opposite}{6}}{\underset{adjacent}{4}} \implies \tan( y )= \cfrac{3}{2} \implies \tan^{-1}(~~\tan( y )~~) =\tan^{-1}\left( \cfrac{3}{2} \right) \\\\\\ y =\tan^{-1}\left( \cfrac{3}{2} \right)\implies y \approx 56.31^o \\\\[-0.35em] ~\dotfill\\\\ \tan(x )=\cfrac{\stackrel{opposite}{4}}{\underset{adjacent}{6}} \implies \tan( x )= \cfrac{2}{3} \implies \tan^{-1}(~~\tan( x )~~) =\tan^{-1}\left( \cfrac{2}{3} \right) \\\\\\ x =\tan^{-1}\left( \cfrac{2}{3} \right)\implies x \approx 33.69^o\)
Make sure your calculator is in Degree mode.
Find
f '(a).
f(x) = 3 − 4x
Answers
Answer:
f'(a) = -4
Step-by-step explanation:
f(x) = 3 − 4x
Take the derivative of the function
f'(x) = -4
f'(a) = -4
what's 20/10x50+600-700x69
Answers
Answer:
-47600
Step-by-step explanation:
Answer:
-47,600
Step-by-step explanation:
Two digit subtraction with regrouping
Answers
Answer:
WHAT IS D QUESTION?????
Step-by-step explanation:
Select all the expressions that are rational numbers.
A. 3.14159...
B. -9.1234567123...
C. -9.293847210103938...
D. 22/7
E. -26
Answers
whats 10 x 34? please tell me
Answers
Answer:
340=10*340 calculated
Answer:
340
Step-by-step explanation:
i know math alot
Movie critics claim that 68% of adults and 79% of teenagers would recommend seeing the newest action movie. Suppose random samples of 43 adults and 52 teenagers are selected. Let p hat Subscript Upper A and p hat Subscript Upper T be the sample proportions of adult and teenage moviegoers, respectively, who would recommend this movie.
Which of the following is the mean of the sampling distribution of p hat Subscript Upper A Baseline minus p hat Subscript Upper T?
–0.11
0.11
0.74
1.47
Answers
Answer: -11
Step-by-step explanation:
Answer:
–0.11
Step-by-step explanation:
edge 2023
Find the directional derivative of the function f(x,y)=2cos(y)exf(x,y)=2cos(y)ex at the point (0,π6)(0,π6) in the direction of the vector v=⟨−8,6⟩v=⟨−8,6⟩.
Answers
Answer:
\(D_u f(0,\pi/6)=\frac{4\sqrt{3}-3}{5}\)
Step-by-step explanation:
We are given that
\(f(x,y)=2cos(y)e^{x}\)
Point=(\(0,\pi/6\))
Vector v=<-8,6>
We have to find the directional derivative of the function.
\(f_x(x,y)=2cos(y)e^{x}\)
\(f_x(0,\pi/6)=\sqrt{3}\)
\(f_y(x,y)=-2sin(y)e^{x}\)
\(f_y(0,\pi/6)=-1\)
\(|v|=\sqrt{(-8)^2+6^2}=\sqrt{100}=10\)
\(\hat{u}=\frac{v}{|v|}=\frac{-8i+6j}{10}=\frac{1}{10}(-8i+6j)\)
\(\nabla f(0,\pi/6)=<f_x(0,\pi/6),f_y(0,\pi/6)>=<\sqrt{3},-1>\)
Now, the directional derivative in the direction of v at point (0,\(\pi/6\)) is given by
\(D_u f(0,\pi/6)=\nabla f(0,\pi/6)\cdot \hat{u}\)
By using the formula
\(D_u f(x,y)=\nabla f(x,y)\cdot \hat{u}\)
\(D_u f(0,\pi/6)=<\sqrt{3},-1>\cdot <-\frac{8}{10},\frac{6}{10}>\)
\(D_u f(0,\pi/6)=-\frac{4\sqrt{3}}{5}-\frac{3}{5}=-\frac{1}{5}(4\sqrt{3}+3)\)
Blank x 2 > 2
8 over 8 or 7 over 8 or 9 over 8
Answers
Answer:
dwdaddaw
Step-by-step explanation:
ad plus devide
6 yellow = 5 green
4 green = 3 purple
5 purple = 2 red
what is the ratio between yellow to red?
A.3 to 1
B.4 to 1
C.5 to 1
D.6 to 1
Answers
Answer:
Hi, option A). 3 to 1 is the correct option.
Step-by-step explanation:
See there are 6 yellow and 2 red.
It will be 6:2
And if we simplify it further both of the numbers are multiples of 2.
Therefore:
The answer is option A). 3:1
Answer: B. 4 to 1
Step-by-step explanation:
green = (3/4) purple
Substituting the expression for green from the first conversion, we get:
yellow = (5/6) (3/4) purple
yellow = (5/8) purple
Finally, we can use the third ratio to convert purple to red:
5 purple = 2 red
purple = (2/5) red
Therefore, the ratio between yellow to red is 4 to 1.
How do you find existence of inverse?
Answers
\({\huge\color{black}{\boxed{\fcolorbox{green}{red}{꧁ANSWER꧂}}}}\)
Existence of an Inverse
There are two numbers that f takes to 4, f(2) = 4 and f(-2) = 4. If f had an inverse, then the fact that f(2) = 4 would imply that the inverse of f takes 4 back to 2. On the other hand, since f(-2) = 4, the inverse of f would have to take 4 to -2.
On a coordinate plane, 2 parallelograms are shown. Parallelogram 1 has points (0, 2), (2, 6), (6, 4), and (4, 0). Parallelogram 2 has points (2, 0), (4, negative 6), (2, negative 8), and (0, negative 2). How do the areas of the parallelograms compare? The area of parallelogram 1 is 4 square units greater than the area of parallelogram 2. The area of parallelogram 1 is 2 square units greater than the area of parallelogram 2. The area of parallelogram 1 is equal to the area of parallelogram 2. The area of parallelogram 1 is 2 square units less than the area of parallelogram 2.
Answers
The areas of the parallelograms compare by option : A. The area of parallelograms 1 is 4 square units greater than the area of parallelogram 2.
What is the parallelograms about?Note that the part that is filled by a flat form or the surface of an item is called the area.
Note that:
A₁ = the area of parallelogram 1
A₁ = the area of parallelogram 2
l₁ = the distance between the points that is (2,6),(0,2)
l₂ = the distance between the points that is (4,0)(0,2)
b₁ = the distance between the points that is (2,0),(0,-2)
b₂ = the distance between the points that is (2,6),(4,-6)
So
A₁ = l₁ × b₁
=4.47 ×4.47
19.89 sq. unit
A₂= l₂×b₂
2.82 × 6.342
17.88 sq. unit
A₁-A₂ = 19.89 sq. unit - 17.88 sq. unit'
= 2.01
Therefore, The areas of the parallelograms compare by option : A. The area of parallelograms 1 is 4 square units greater than the area of parallelogram 2.
Learn more about parallelograms from
https://brainly.com/question/23774966
#SPJ1
5 What is the solution for y in the following system of equations?
7x + 2y = 8
-
7x+6y= -88
Answers
Answer:
working on a answer one second
Step-by-step explanation:
find the radius of a circle with a circumference of 47.1 Ft
Answers
R 7.496 approximately 7.5 feet
1) Since a circumference is calculated by this formula:
\(\begin{gathered} C=2\pi R \\ \end{gathered}\)2) Then we can plug that into the formula:
\(\begin{gathered} C=2\pi R \\ 47.1=2\pi R \\ \frac{47.1}{2\pi}=\frac{2\piR}{2\pi} \\ R\text{ =7.496} \end{gathered}\)So the Radius is approximately 7.496 ft
Find the partial sum for the sequence.
{2, 3, 5, 8, 13, ...}; S8
S8=
Answers
The partial sum of the sequence {2, 3, 5, 8, 13, ...} for the first 8 terms is 761/2.
The sequence given is a Fibonacci sequence, where each term is the sum of the previous two terms. To find the partial sum for the first 8 terms, we can use the formula for the sum of a finite geometric series:
Sₙ = a(1 - rⁿ)/(1 - r),
where Sₙ is the sum of the first n terms, a is the first term, r is the common ratio, and n is the number of terms.
In this case, a = 2, r = 3/2 (since each term is 1.5 times the previous term), and n = 8. Plugging these values into the formula, we get:
S₈ = 2(1 - (3/2)⁸)/(1 - (3/2))
Simplifying the expression, we get:
S₈ = 761/2
To learn more about partial sum click on,
https://brainly.com/question/11741302
#SPJ1