Rewrite 20/6 as a mixed number.

Answers

Answer 1

Divide the numerator by the denominator and remove the remainder or following decimal.

20/6 = 3 R2 = 3

Thus, 3 is our whole number that resides next to the fraction.

Now take this number, multiply it by the denominator, and subtract this value from the numerator: 20 - 3(6) = 2. This is the numerator of the fraction in our mixed number.

Now simply add the denominator under this new numerator and place the three next to this fraction: 3 2/6.

Answer 2

The improper fraction number 20/6 is converted into a mixed fraction number as 3 ¹/₃.

What is the mixed fraction number?

The mixed fraction number is the combination of the whole number and the proper fraction number. In a proper fraction number, the numerator is smaller than the denominator.

The improper fraction is 20/6.

Convert the improper fraction into a fraction number.

⇒ 20 / 6

⇒ 10 / 3

⇒ (9 + 1) / 1

⇒ 9/3 + 1/3

⇒ 3 ¹/₃

The improper fraction number 20/6 is converted into a mixed fraction number as 3 ¹/₃.

More about the mixed fraction number link is given below.

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Related Questions

NEED HELP ASAP PLEASE HELP

Use the figure below to find AC.

Select one:
a. 40
b. 20
c. 50
d. 60

Answers

From point A to C, which is the length of the entire line, it's 3x + 1.
AB = 2x + 4
BC = 10

This means that AB + BC = AC

All you have to do is plug in the equations.

(2x + 4) + (10) = (3x + 1)
2x + 14 = 3x + 1
2x + 13 = 3x
13 = x

Now plug in the value of x (13) into the AC equation (3x + 1).
AC = 3(13) + 1
AC = 39 + 1
AC = 40

The answer is:
a. 40

The correct answer to your question is... a. 40

❤️ Kinda fuzzy but can anyone help?

Answers

The answer would be B.

Answer:

thats to hard

Step-by-step explanation:

get a calculater

In the diagram, KL ≅ NR and JL ≅ MR. What additional information is needed to show ΔJKL ≅ ΔMNR by SAS?
A. ∠J ≅ ∠M
B. ∠L ≅ ∠R
C. ∠K ≅ ∠N
D.∠R ≅ ∠K

Answers

B. Angle L=angle R. To prove congruence of triangles by SAS, we need two pairs of sides to be equal, and the included angle equal. We are given KL=NR and JL=MR (the two pairs of sides), then we only need that the angle between KL and JL equals to the angle between NR=MR, so L=R.

Answer:

B. <L=<R

Step-by-step explanation:

^^^Just too test got 100%

A shoe store marks up it's merchandise by 8%. What was the selling price of a pair of shoes whose wholesale price is $24.50?

Answers

Final price is $26.46

Answer: The selling price of a pair of shoes is $26.46.

Step-by-step explanation:

Given : The wholesale price of a pair of shoes = $24.50

i.e. C.P. = $24.50

Mark up percent = 8% = 0.08 ( To convert a percentage into decimal we divide it by 100)

Formula : S.P. = (Mark up percentage ( in decimal)) x (C.P.)+ (C.P.)

i.e.

[tex]S.P.=(0.08) \times (24.50)+24.50\\\\\Rightarrow\ S.P.=(0.08+1)(24.50)\\\\\Rightarrow\ S.P.=(1.08)(24.50)\\\\\Rightarrow\ S.P.=26.46[/tex]

Hence, the selling price of a pair of shoes is $26.46.

Which are the solutions of x2 = –11x + 4?

Answers

Add 11x and complete the square
.. x^2 +11x = 4
.. x^2 +11x +5.5^2 = 4 +5.5^2
.. (x +5.5)^2 = 34.25
.. x = -5.5 ±√34.25
.. x ≈ {-11.35235, 0.35235}

Answer:

If your on edu the simple answer is A

Step-by-step explanation:

helpppppppppppppppppppppppp

Answers

Remember that
you must do in this case is composition of both functions:
a (x) = 3x + 1
b (x) = root (x-4)
Making the composition we have:
b (a (x)) = root ((3x + 1) -4)
Rewriting:
b (a (x)) = root (3x-3)
b (a (x)) = root (3 (x-1))
Answer:
The domain of the function is: x> = 1
Equivalently we have [1, inf)

PLEASE HELP ME WITH THIS

Answers

Pythagorean Theorem:

states a^2 + b^2 = c^2

given triangle:
5^2 + 13^2 = 14^2

25 + 169 = 196

194 = 196 False so it isn't a right triangle
since C^2 (196) is greater than a^2 +b^2 (194)
the triangle would be Obtuse

Toys R us is having a 38% off sale on all of their backpacks. If a backpack normally cost $22 how much will it be on sale

Answers

38% = 38/100 = 0.38

22*0.38 = 8.36, so we know that the sale takes $8.36 off.

22 - 8.36 = 13.64.

The discounted price after the sale is $13.64

The cost for three packages of moving boxes is modeled by the system of equations below. let s represent small boxes, m represent medium boxes, and l represent large boxes. which ordered pair (s, m, l) represents the costs of the three boxes?

Answers

i would go with m looks more reasonable

A scale drawing of an automobile has a scale of 1 in.
The actual width of the car is 8 ft. What is the width on the scale drawing?

Answers

the correct question in the attached figure

we know that
the scale is 1 in (scale drawing)= (1/2) foot (actual)-----> 1/(1/2)=2 in/ft
[scale]=[scale drawing]/[actual]
then
[scale drawing]=[scale]*[actual]
therefore
for actual width of the car 8 ft
[scale drawing]=[2 in/ft]*[8 ft]=16 in

the answer is 16 in

if the measures of the angles of a triangle are represented by (x+30), (4x+30), and (10x-30), the triangle must be

Answers

The sum of angle measures is 15x+30 = 180, so x=10.

The angles are 40°, 70°, and 70°.

The triangle is isosceles.

We know triangles equal 180. Add all angles equal to 180. Then plug in the answer for x in each angle expression.

(x+30)+(4x+30)+(10x-30)= 180
combine like terms
15x+30=180
subtract 30 from both sides
15x= 150
divide both sides by 15
x=10

Angle 1:
=(x+30)
=10+30
=40

Angle 2:
=(4x+30)
=4(10)+30
=40+30
=70

Angle 3:
=(10x-30)
=10(10)-30
=100-30
=70

ANSWER: Since there are two equal angles, this is an Isosceles Triangle.

Hope this helps! :)

△ABC∼△LMN , AB is 8 inches, BC is 14 inches, and LM is 12 inches. What is MN ? Enter your answer in the box.

Answers

Answer:

The measure of MN is 21 inches.

Step-by-step explanation:

It is given that △ABC∼△LMN.

The corresponding sides of two similar triangles are proportional.

[tex]\frac{AB}{LM}=\frac{BC}{MN}[/tex]

[tex]\frac{8}{12}=\frac{14}{MN}[/tex]

[tex]8\times MN=14\times 12[/tex]

Divide both sides by 8.

[tex]MN=\frac{168}{8}[/tex]

[tex]MN=21[/tex]

Therefore we can say that if △ABC∼△LMN, then the measure of MN is 21 inches.

The area of the large cylinder’s piston in this hydraulic system is 3.14m2 . What is the output force

Answers

the complete question in the attached figure

see the attached drawing to better understand the problem

Part A)
we know that
Area small piston=0.0020 m²
Force=100 N
[Pressure]=[Force]/[Area]
[Pressure]=[100 N]/[0.0020 m²]=50000 Pa

the answer part A is 50000 Pa

Part B)
Pressure=50000 Pa
Area large piston=3.14 m²
[Force]=[Pressure]*[Area}
[Force]=50000 Pa]*[3.14 m²]=157000 N

the answer part B) is 157000 N

hello please help me with this quick

Answers

the first option

hope this helps<3

The newspapers cover page is 3/8 text and photographs filled the rest if 2/5 of the text is an article about endangered species, what fraction of the cover page is the article about endangered species

Answers

The fraction of text -3/8 of the cover page
From this fraction of text only 2/5 of the text is about endangered species
We are asked to find out what the fraction of the cover page is that covers endangered species
In this 2/5 of 3/8 is about endangered species
Therefore to obtain the answer we need to multiply the two fractions
2/5 * 3/8
Fraction of the cover page about endangered species is therefore = 2/5 * 3/8
= 0.15

The article about endangered species is ³/₂₀ of the cover page

Further explanation

Order of Operations in Mathematics follow this following rule :

ParenthesesExponentsMultiplication and DivisionAddition and Subtraction

This rule is known as the PEMDAS method.

In working on a mathematical problem, we first calculate operation that is in parentheses, follow by exponentiation, then multiplication or division, and finally addition or subtraction.

Let us tackle the problem !

Given:

Total Area of Cover Page = X

Text Section is 3/8 the newspapers cover page

[tex]\texttt{Text Section Area} = \frac{3}{8} \times \texttt{Total Area of Cover Page}[/tex]

[tex]\texttt{Text Section Area} = \boxed {\frac{3}{8}X}[/tex]

The rest of cover page is Photographs Section

[tex]\texttt{Photographs Section Area} = (1 - \frac{3}{8}) \times \texttt{Total Area of Cover Page}[/tex]

[tex]\texttt{Photographs Section Area} = \boxed {\frac{5}{8}X}[/tex]

2/5 of the text is an article about endangered species.

[tex]\texttt{Endangered Species Article Section Area} = \frac{2}{5} \times \texttt{Text Section Area}[/tex]

[tex]\texttt{Endangered Species Article Section Area} = \frac{2}{5} \times \frac{3}{8}X[/tex]

[tex]\texttt{Endangered Species Article Section Area} = \frac{2 \times 3}{5 \times 8}X[/tex]

[tex]\texttt{Endangered Species Article Section Area} = \frac{6}{40}X[/tex]

[tex]\texttt{Endangered Species Article Section Area} = \frac{6 \div 2}{40 \div 2}X[/tex]

[tex]\texttt{Endangered Species Article Section Area} = \boxed {\frac{3}{20}X}[/tex]

Learn moreInfinite Number of Solutions : https://brainly.com/question/5450548System of Equations : https://brainly.com/question/1995493System of Linear equations : https://brainly.com/question/3291576

Answer details

Grade: Middle School

Subject: Mathematics

Chapter: Percentage

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS , percentange , percent

The mass of the particles that a river can transport is proportional to the sixth power of the speed of the river. A certain river normally flows at a speed of 2 miles per hour. What must its speed be in order to transport particles that are 15 times as massive as usual? Round your answer to the nearest hundredth.

The speed of the river must be about ____ miles per hour.
Please explain how to do it I have the answer but don't know how to get to it.

Answers

The river flows at 2 miles per hour. This is the speed of the current, or the speed at which the water itself is moving.

The mass of the particles moving in river is proportional to the sixth power of 2, or [tex]2^6 = 64[/tex] miles per hour. So, if x is the mass of the particle, then the speed is modeled by an inverse relationship [tex]x * 2^6 = k[/tex], for some constant k.

For particles that are 15 times the usual mass, the speed of the river itself must increase for the particles to travel at the same speed as before. The mass of the particles is still proportional to the sixth power of the speed of the river, but the speed of the river can no longer be 2 miles per hour. It is some speed y, which we are solving for.

So, the key here is proportional. We can set up two proportions and cross multiply.

[tex] \dfrac{x}{2^6} = \dfrac{15x}{y^6} \\ (x)(y^6)=(2^6)(15x)[/tex]

Cancelling our x's (because we don't need to solve for them), we have

[tex]y^6 = 15(2^6) = 15(64)=960[/tex]

To solve for y, we must take the sixth root of both sides, or raise both sides to the one-sixth power.

[tex] \sqrt[6]{y^6} = \sqrt[6]{960} [/tex]

Using a calculator, we see that [tex]\sqrt[6]{960} = 3.14 \ miles \ per \ hour[/tex].

Final answer:

To transport particles that are 15 times as massive as usual in a river, the speed of the river would need to increase to about 4.14 miles per hour, calculated based on a proportionality relationship to the sixth power.

Explanation:

Given the mass of the particles that a river can transport is proportional to the sixth power of the speed of the river, we can express this relationship as m ∝ v6, where m is the mass of the particles and v is the speed of the river. Then, m1/v16 = m2/v26 which is a statement of the proportionality. If a river, with a normal speed of 2 miles per hour (v1), can transport particles of a certain mass (m1), in order to transport particles that are 15 times as massive as usual (m2 = 15m1), we want to find the required speed (v2).

Substituting the known quantities into the proportionality, we get m1/26 = 15m1/v26. Simplifying this equation gives 1/26 = 15/v26.

To solve for v2, you can perform a sixth root operation on both sides of the equation, resulting in v2 = 6√(15*26). By calculating this, the required speed is nearly 4.14 miles per hour.

Learn more about Proportionality here:

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Which of the following ordered pairs is a solution of x + 1/2 y = 1?

(-2, 6)
(2, -6)
(-2, -6)

Answers

x+y/2=1
-2+6/2=1

-2 + 3 =1 true

⇒ ( -2, 6) is the solution

The correct ordered pairs are (-2, 6)

What is equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Parts of an Equation

There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators.

An equation can be formed without these as well, for example, 5 + 10 = 15. This is an arithmetic equation with no variables.

Given:

x + 1/2 y = 1

Now, we will take the ordered pairs (-2, 6)

So, substitute x= -2 and y= 6 in the given equation we get

x+ 1/2y

=-2 + 1/2(6)

=-2 + 3

=+1

Hence, the correct ordered pairs are (-2, 6)

Learn more about equation here:

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PLEASE HELP ASAP!!!!!

Answers

its a i believe because it was (8,17)and (1,4) the slope equation would have been either 17-4/8-1 or 4-17/1-8

Create three polynomials. Each must contain at least two terms. Choose three of the following properties:

Answers

Polynomial means 3 terms

1. 3x + 4c - 3
2. 9x + 7y - 6/2
3.4r^2 + 9y -5t

et f(x) = x2 + 6 and g(x) g(x) x+8/x . Find ( g o f)( -7)

a.63/55

b.259/49

c.-57/7

d.384/7

Answers

Answer:

Step-by-step explanation:

A function composition is where one function is substituted within another function and is written g(f(x)). Here we will substitute f(x) into g(x). For g(f(-7)), we substitute -7 for x.

[tex] \frac{x^2+6+8}{x^2+6}[/tex]

Now substitute -7 for x.

[tex]\frac{x^2+6+8}{x^2+6} = \frac{(-7)^2+6+8}{(-7)^2+6}=\frac{49+6+8}{49+6}=\frac{63}{55}[/tex]

If a piece of licorice is to be cut into 10 equal-side pieces. If the length of the piece of licorice is 2/3 yard, how long will each piece of licorice be?

Answers

This is the term used to describe economic systems in which the basic economic questions are answered based on a socially, pre-established way.

Find the volume of the composite solid if the diameter is 8.7 yards. Round your answer to the nearest hundredth.

A.
220.76 yd3
B.
429.88 yd3
C.
535.02 yd3
D.
693.55 yd3

Answers

The closest answer is D. 693.55 yd3
H
O
P
E
T
H
I
S
H
E
L
P
S
=)

Answer: D. 693.55 yd3

Step-by-step explanation:

Given: The diameter of the composite solid = 8.7 yards

Then , the radius of the composite solid = [tex]\dfrac{8.7}{2}=4.35\ \text{yards}[/tex]

Height of cylinder = 9 yards

Height of cone = 8 yards

The volume of cylinder is given by :-

[tex]V_1=\pi r^2h\\\\\Rightarrow V_1=(3.14159265359)(4.35)^2(9)\\\\\Rightarrow V_1=535.021082888{ yards}^3[/tex]

The volume of cone is given by :-

[tex]V_2=\dfrac{1}{3}\pi r^2h\\\\\Rightarrow V=\dfrac{1}{3}(3.14159265359)(4.35)^2(8)\\\\\Rightarrow V=158.5247653\text{ yards}^3[/tex]

Now, Volume of the composite figure will be :

[tex]V=V_1+V_2\\\\\Rightarrow\ V=535.021082888+158.5247653\\\\\Rightarrow\ V=693.545848188\approx693.55\text{ yards}^3[/tex]

A triangle has an area of 40 square units. Its height is 8 units. What is the length of its base?

Answers

Area = (1/2)bh
h = 8 units

(1/2)b·8 = 40
4b = 40
b = 40/4
b = 10 units

evaluate j/4 when j=12

Answers

the answer is three because you are dividing 12 and 4 =3

These types of questions look weird, but when they give you the variable or "j", it is quite nice. The word "evaluate" is used when the expression does not have an equal sign. All you really have to do is simplify it.

J=12 means "the letter "J" is representing 12. The letter "J" could represent anything in this question, but for this question we are told that "j' equals the number 12.

Simply substitute 12 for "J" in the expression and now you have 12 divided by 4. Then you could say the expression becomes 3 if you simplify 12 over 4 which is the same as 12 divided by 4.

A real life example of this question could be, "4 packs of jewels on a game cost $12.

Not the best explanation, but I hope it helps.

jami can now mow 1/6 acre in 8 minutes. if her rate is constant, can jami mow 1 and 1/2 acres in one hour? explain ur reasoning.

Answers

we have that
1 1/2 acres-------------> 1.5 acres
one hour----------------> 60 minutes

Step 1
I proceed to make a rule of three
if Jami can now mow 1/6 acre -----------------------> in 8 minutes
1.5 acres----------------------------------------------> X
X=1.5*8/(1/6)=72 minutes

72 minutes > 60 minutes

therefore
Jami can not mow 1 1/2 acres in an hour
The time required by jami to mow 1 1/2 acres is 72 minutes

An airplane has a maximum capacity of 118 passengers. The flight attendant has loaded 40 passengers. Which inequality represents the solution set that shows the number of passengers, p, that can still load the plane? A) p ≥ 68 B) p ≤ 68 C) p ≤ 78 D) p ≥ 78

Answers

Answer:

Its C

Step-by-step explanation:

It is C because you can only load 78 more passengers

Answer:

Step-by-step explanation:

If p = the number of passengers that can still load the plane, then p + 40 ≤ 118.

Therefore,

p + 40 ≤ 118

p + 40 − 40 ≤ 118 − 40

p ≤ 78

Liam owns some rectangular plots of land. All of the plots are the same length, x, and the width of each plot is 5 yards less than the length. The total number of plots Liam owns is 20 more than the length of a plot. If the total area of all the plots Liam owns is 2,688 square yards, which statements about the length of each plot are true?

*The equation x3 − 15x2 − 100x − 2,688 = 0 can be used to find the length of each plot.
**The equation x3 + 25x2 + 100x − 2,688 = 0 can be used to find the length of each plot.
***The equation x3 + 15x2 − 100x – 2,688 = 0 can be used to find the length of each plot.
****The length of each plot is 12 yards.
*****The length of each plot is 8 yards.

Answers

We have to:
"All of the plots are the same length, x"
L = x
"and the width of each plot is 5 yards less than the length"
W = x-5
"The total number of plots Liam owns is 20 more than the length of a plot"
20 + x
"the total area of all the plots Liam owns is 2,688 square yards"
A = (20 + x) * (x) * (x-5)
A = (20x - 100 + x ^ 2 -5x) * (x)
A = (x ^ 2 + 15x - 100) * (x)
2688 = (x ^ 3 + 15x ^ 2 - 100x)
x ^ 3 + 15x ^ 2 - 100x = 2688
x ^ 3 + 15x ^ 2 - 100x - 2688 = 0
Answer:
*** The equation x3 + 15x2 - 100x - 2.688 = 0 can be used to find the length of each plot.

Final answer:

The correct equation to find the length of each of Liam's rectangular plots is x³ + 15x² - 100x - 2,688=0. This cubic equation must be solved to determine the actual length of each plot.

Explanation:

To solve the problem involving Liam's rectangular plots of land, you need to find the length x of each plot. Since the width is 5 yards less than the length, the width is x - 5 yards. With the number of plots being 20 + x, and the total area given as 2,688 square yards, you can set up an equation using the area of a rectangle (length times width) multiplied by the number of plots equal to the total area

The correct equation to determine the length of each plot is as follows:

X (width) × X (length) × (number of plots) = total area

(x) (x - 5) (20 + x) = 2,688

x(x - 5)(x + 20) = 2,688

x³ + 15x² - 100x = 2,688

This simplifies to the equation x³ + 15x² - 100x - 2,688 = 0, which corresponds to option three. Upon solving this cubic equation, you would find the length of each plot. However, the last options are not supported by the given information and should be solved for using the derived equation.

helpppppppppppppppppppppppppp

Answers

We rewrite the expression:
((m-4) / (m + 4)) * (1 / (m + 2))
Then we do the multiplication of fractions:
((m-4) / (m + 4) (m + 2))
answer:
An equivalent expression is:
((m-4) / (m + 4) (m + 2))
option 1

Answer:
(m-4) / [(m+4)(m+2)]
This is the first option

Explanation:
The given expression is:
[(m-4)/(m+2)] / (m+2)

When dividing by a fraction, we convert the multiplication into division and flip the second fraction.
This means that the given expression can be written as:
[(m-4)/(m+4)] / (m+2) = [(m-4)(m+4)] * (1/(m+2)]
= (m-4) / [(m+4)(m+2)]

Hope this helps :)

A 1.6km road rises vertically 400m. what is the angle of elevation of the road? angle of elevation = _ degree

Answers

tan x = 0.4/1.6
x = 14.04°

Final answer:

To determine the angle of elevation of the road, we use the tangent ratio of rise (400m) to run (1600m), resulting in an angle of approximately 14 degrees.

Explanation:

To calculate the angle of elevation of the road, we can use trigonometry. Specifically, we'll use the tangent function, which is the ratio of the opposite side to the adjacent side in a right-angled triangle. In this context, the opposite side is the rise, which is 400 meters (the vertical height the road climbs), and the adjacent side is the run, which is the horizontal distance of the road, 1.6 km or 1600 meters.

We can calculate the angle of elevation, ϴ (theta), using the formula:

tangent(ϴ) = opposite/adjacent

tangent(ϴ) = 400/1600

ϴ = arctangent(400/1600)

ϴ = arctangent(0.25)

After calculating arctangent(0.25), we find the angle of elevation is approximately 14 degrees.

helpppppppppppppppppppppppp

Answers

We make the composition of both functions:
f (x) = x ^ 2-1
g (x) = 2x-3
Then:
f (g (x)) = (2x-3) ^ 2-1
Rewriting:
f (g (x)) = 4x ^ 2-12x + 8
The domain of this function is all real numbers.
Equivalently
x: (-inf, inf)
answer:
x: (-inf, inf)
option 1.

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