a.When the numerator and the denominator have no common factor other than 1; he fraction is either a proper fraction or mixed number

Answers

Answer 1

Answer:

The fraction is a proper fraction (and irreducible)

Step-by-step explanation:

Given

[tex]x = Numerator[/tex]

[tex]y = Denominator[/tex]

[tex]Common\ factor = 1[/tex]

Required

The type of fraction

A fraction with the given features is a proper fraction and cannot be further reduced.

Take for instance:

[tex]x = 2[/tex]

[tex]y = 7[/tex]

The only common factor between [tex]2\ and\ 7[/tex] is 1

[tex]\frac{x}{y} = \frac{2}{7}[/tex]

See that 2/7 is a proper fraction and also 2/7 cannot be reduced (simplified)

The above logic is applicable to all fraction that have the attribute stated in the question (e.g. 3/7, 3/8, 4/9, 7/10, etc.)


Related Questions

Mario sells insurance. His goal is to sell 3 types of insurance to each family on a block. He also wants to sell more than 27 policies. If x is the number of families he needs to sell to, which pair of inequalities correctly represents this problem?
A.9x > 27
x>3
B. 9x < 27
x<3
C. 3x >27
x>3
D. 3x < 27
x<9
please helppp

Answers

When we divide both sides of the inequality,

3x > 27 by 3,  3x(3) > 27(3)

we get x > 9, as the simplified form of the inequality.

Thus, giving us the answer of:

x > 9

Answer:

Step-by-step explanation:

3x > 27

x > 9

Round 609635.782852 to the nearest thousand.

Answers

Answer:

610000

Step-by-step explanation:

Srry i misread that i thought it said round to the nearest thousandth f

After rounding the number to the nearest thousand we get 609635.783

Here,

The given number to round nearest thousand is 609635.782852

What is rounding off of a number?

Rounding off means a number is made simpler by keeping its value intact but closer to the next number.

Now,

In rounding off a number nearest thousand we can write a number up to 3 decimal places

So after rounding 609635.782852 to the nearest thousands we get,

609635.783

Learn more about the Rounding off of a number visit:

https://brainly.in/question/5838592

#SPJ2

Δ ABC and ΔDEF are similar triangles. If m∠A =104∘and m∠E = 36∘, what is ∠C?

Answers

Answer:

X = 40

Step-by-step explanation:

A triangle has 180 degrees, and considering that triangle ABC is similar to DEF that means that they have the same angles (A=D, B=E, C=F)

180 = 104 + 36 + x

180 = 140 + x

180-140 = x

40 = x

Find the length of the hypotenuse of a right triangle if both legs measure 14√6 inches.

Answers

Answer:

[tex]2\sqrt{42}[/tex] or 12.96

Step-by-step explanation:

Both legs are a and b in the pythagorean thm formula:

a² + b² = c²

Given:

a = 14√6

b = 14√6

Work:

a² + b² = c²

14√6² + 14√6² = c²

84 + 84 = c²

168 = c²

[tex]\sqrt{c^2} =\sqrt{168}[/tex]

c = [tex]2\sqrt{42}[/tex]

Rounded to hundredths:

c = 12.96

Lines a and b are parallel. What is the measure of angle s? NEED HELP ASAP


22°

158°

Answers

Angle s is 22 if you were to take 158 away from 180 you can find the angle of Y and Y is equal to S

May someone please explain how G is 125 degrees and H is 62 using ASTT,ATT theorem. Please help! Guaranteed brainliest for the first answer that is reasonable or correct!!!

Answers

Answer:

B=128

Step-by-step explanation:

because 190 - 62=128.

Someone please help is not 105 bc last time I got it wrong and perimeter pleaser thank you I’ll mark you Brainliest is you got it right

Answers

It is D)19 bc 5x3=15 then 7-3=4 so 4x1=4 now 15+4=19

The velocity of a particle moving along a line is given by v(t) = e ^ t * sin(e ^ t) the interval 0<= t<= pi 2 . What is the distance that the particle traveled on this time interval?

Answers

Answer:

0.44237 units

Step-by-step explanation:

Given

[tex]v(t) = e^t*sin(e^t)[/tex]

[tex]0 \le t \le \frac{\pi}{2}[/tex]

Required

The distance traveled in this interval

We have:

[tex]v(t) = e^t*sin(e^t)[/tex]

The distance is calculated as:

[tex]d(t) = \int\limits^a_b {v(t)} \, dt[/tex]

So, we have:

[tex]d(t) = \int\limits^{\frac{\pi}{2}}_0 {e^t*sin(e^t)} \, dt[/tex]

Let:

[tex]u = e^t[/tex]

Differentiate

[tex]\frac{du}{dt} = e^t[/tex]

So:

[tex]dt = e^{-t} du[/tex]

So, we have:

[tex]d(t) = \int\limits^{\frac{\pi}{2}}_0 {e^t*sin(e^t)} \, dt[/tex]

[tex]d(t) = \int\limits^{\frac{\pi}{2}}_0 {e^t*sin(u)} \, e^{-t} du[/tex]

Rewrite as:

[tex]d(t) = \int\limits^{\frac{\pi}{2}}_0 {e^t* e^{-t}*sin(u)} \, du[/tex]

[tex]d(t) = \int\limits^{\frac{\pi}{2}}_0 {sin(u)} \, du[/tex]

Integrate:

[tex]d(t) = -\cos(u)|\limits^{\frac{\pi}{2}}_0[/tex]

Substitute [tex]u = e^t[/tex]

[tex]d(t) = -\cos(e^t)|\limits^{\frac{\pi}{2}}_0[/tex]

Split

[tex]d(t) = -\cos(e^\frac{\pi}{2}) - [-\cos(e^0)][/tex]

[tex]d(t) = -\cos(e^\frac{\pi}{2}) +\cos(e^0)[/tex]

[tex]d(t) = -0.09793 + 0.5403[/tex]

[tex]d(t) = 0.44237[/tex]

The distance traveled in this interval is: 0.44237 units

dt =

d(t) = \int\limits^2_0 {e^t*sin(e^t)} \, dt

help <33 PLEASR PLEASE

Answers

Answer:

104.06 m^2

Step-by-step explanation:

Area of square

22 X 22 = 484 m^2

Area of circle

3.14r^2

radius = 22/2

radius = 11

3.14* 11^2 = 379.94

484 - 379.94 = 104.06

1. Devon saw that the shoes he
wanted were on sale. They
were normally $60 but were
now 20% off. How much were
the shoes after the discount?
Helppppp

Answers

Answer:

$48

Step-by-step explanation:

20%=1/5

60/5=12

60-12=48

If a rock weighs 3.24 pounds on Saturn, what will it weigh on Earth?

Answers

Answer:

weight on saturn = (weight on earth/9.8) x 10.44

So,

3.24 = (x/9.8) x 10.44

0.3103 = x/9.8

x = 3.0409

The rock would weigh 3.0409 pounds on Earth! :)

Warm-Up
Volume
Match each type of measurement with units that could be used to express it.
Perimeter
Area
inches
cubic feet
cubic meters
square units
Sq.ft

Answers

Step-by-step explanation:

volume is cubic feet and cubic meters

area is square feet and square units

perimeter is inches

The table shows the number of points scored by players on a basketball team.



a. Find the range and interquartile range of the data.
21,53,74,82,84,93,103,108,116,122,193(table)
The range is
points.

The interquartile range is
points.

Answers

Answer:

Given data:

21, 53, 74, 82, 84, 93, 103, 108, 116, 122, 193

The range:

193 - 21 = 172

The IQR is the difference of Q3 and Q1:

Q3 = 116, the median of upper half of dataQ1 = 74, the median of lower half of dataIQR = 116 - 74 = 42

Determine whether the game is fair: A jar has 10 red marbles, 6 purple marbles, and 4 turquoise marbles. Joey wins if he pulls a red marble from the jar.

A. Fair
B. Unfair

Answers

Answer:

Well actually,its fair,because he has a higher chance

Step-by-step explanation:

Can sides of a triangle have lengths of 2, 12, and 13 ? Explain why ???

Answers

Answer:

yes, because the sum of the two smallest sides must be able to be added together to be greater than the largest number, 2, 12, and 13 fit this requirement.

Step-by-step explanation:

12+2=14

14>13

Nate is buying a new car. He will pay $2000 today and then $500 a month for x months.
Write an equation that can be used to find y, the total cost of the new car.

Answers

Answer:

y = 2000 + 500x

Step-by-step explanation:

2000 is the constant, because no matter how many months it takes for him to pay off the car, he has to pay the $2000 today.

And after he pays the 2000, every month he has to pay $500 until he pays the full price, so 500x stand for the months after he pays the initial $2000.

answer 2000 + 500 x M =y  

There are 70 dogs and 55 cats at the shelter. 15 of these animals get adopted . What is the percent of the animals that got adopted

Answers

Answer: 12%

Step-by-step explanation:

Given

There are 70 dogs and 55 cats at the shelter

If 15 animals are adopted

Total no of animals =70+55=125

Percent of animals adopted is given by

[tex]\Rightarrow \dfrac{\text{Animals adopted}}{\text{Total animals}}\times 100\\\\\Rightarrow \dfrac{15}{125}\times 100=12\%[/tex]

At a local pet store zebra fish cost $1.90 and neon tetras cost $2.15. If Mrs.Selee bought 15 fish for a total cost of $30.25, not including tax, how many of each type of fish did she buy?

Answers

Answer:
9 zebra fish and 5 neon tetras. White

f(x) =x2-10x+18 Vertex and vertex form

Answers

Answer:

b. y=( x-5) /2-7 is your answer bro

can someone tell me the answers pls ill give brainlist and points i have to solve each system by substitution pls answer and if your not gonna help pls don’t type anything it wastes my points:/

Answers

Since we're given y, we can substitute y into the first euqation...

-2x+3(3x+4)=19

-2x+9x+12=19

7x=7

x=1

hope this helps :D brainliest pls

Can someone please answer this question I don’t have much time

Answers

Answer and Step-by-step explanation:

The top right shape is the correct option.

It contains a triangle and a rectangle, in which she can use the formulas to solve for their areas.

#teamtrees #PAW (Plant And Water)

Answer: Number 2 is correct. It divides the trapezoid into a square (rectangle) and 2 triangles which is equivalent to the whole trapezoid.

What is the the value of x. Pleaseeeee help I’ll mark you brainlist pls don’t put any links

Answers

Answer:

x = 11.75

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180, that is

5x + 3x - 4 + 90 = 180

8x + 86 = 180 ( subtract 86 from both sides )

8x = 94 ( divide both sides by 8 )

x = 11.75

A multiple choice test contains 10 questions with 5 answer choices. What is the probability of correctly answering 5 questions if you guess randomly on each question?

Answers

Answer:

25%

Step-by-step explanation:

So first, 5 answers is 50% of 10 questions

Then, if these problems have only 2 choices then 50%/2=25%

Find the perimeter of the square with an area of 64 square feet using the equation P = 4s.

Answers

Answer:

32 ft

Step-by-step explanation:

s = number of sides

Area of a square = s²

64 = s²

[tex]\sqrt{64}[/tex] = s²

8 = s

P = 4s

P = 4(8)

P = 32

Answer:

P = 64

Step-by-step explanation:

Area ÷ 4 = One side length = 16

16 x 4 = 64

Billy bought an iced tea for $1.79 and some tootsie rolls that were $0.13 each he spent a total of $2.83

Answers

Answer:

Whats the Question

Step-by-step explanation:

Answer:

I dont really understand the question but here what I got.

Step-by-step explanation:

1.73$+$0.13=1.86$

So he bought something else that cause 0.97$ to equal =2.83$

Fill in the blanks:
V=___W=___x=___y=___z=___

Answers

9514 1404 393

Answer:

  v = 39; w = 47; x = 94; y = 39; z = 47

Step-by-step explanation:

The figure shows v° and 51° are complementary, as are z° and 43°.

  v° = 90° -51° = 39°

  z° = 90° -43° = 47°

Vertical angles are congruent.

  y° = v° = 39°

  w° = z° = 47°

And the angle x° is a vertical angle with the sum of 51° and 43°.

  x° = 43° +51° = 94°

Find the volume of the triangular prism to the right

Answers

Answer:

V = 567 ft³

Step-by-step explanation:

V = Bh

[note: a capital 'B' represents the area of the base]

The right triangle is the triangular prism's base.

Because the triangle's height (9 ft) and it's base are the same value (9 ft), we can solve to find the area.

We can identify the base easily because the base and the top of the prism are exactly the same shape

Area of triangular base:

 A = [tex]\frac{bh}{2}[/tex]

 A = [tex]\frac{1}{2}[/tex] (9 ⋅ 9)

 A = [tex]\frac{1}{2}[/tex] (81)

 A = 40.5

We have 'B' for the triangular prism's formula, so next we need 'h'. 14 ft is provided as the prism's height, so we just need to multiply 40.5 and 14 for our answer.

Volume of triangular prism:

 V = Bh

 V = (40.5)(14)

 V = 567 ft³

Divide. (x^3 – 2x – 3) ÷ (x + 3)

Answers

x

2

3

x

+

7

24

x

+

3

Step-by-step explanation: brainly plz

Answer:

[tex] = \frac{({x}^{3} - 2x - 3)}{(x + 3)} \\ rationalise \: the \: denominator \\ = \frac{({x}^{3} - 2x - 3)(x - 3)}{(x + 3)(x - 3)} \\ = \frac{( {x}^{4 } - 3 {x}^{3} - {2x}^{2} + 6x - 3x + 9) }{( {x}^{2} - {3}^{2}) } \\ = \frac{( {x}^{4} - {3x}^{3} - {2x}^{2} + 3x + 9)}{( {x}^{2} - 9) } [/tex]

answer asap pls sdkfjlcsjldkjnclfakwjflkajlcsfs

Answers

Given:

The circumference of a circle is 18.

Central angle of an arc is 120 degrees.

To find:

The measure of arc length.

Solution:

The arc length of a circle is:

[tex]s=2\pi r\times \dfrac{\theta }{360^\circ}[/tex]

Where, r is the radius of the circle, [tex]\theta[/tex] is the central angle in degrees.

We know that, [tex]2\pi r[/tex] is the circumference of the circle. So, substitute [tex]2\pi r=18,\theta=120^\circ[/tex] in the above formula.

[tex]s=18\times \dfrac{120^\circ}{360^\circ}[/tex]

[tex]s=18\times \dfrac{1}{3}[/tex]

[tex]s=6[/tex]

Therefore, the length of the arc is 6 units.

please help i am providing all necessary info i will give brainliest

Answers

Answer:

Step-by-step explanation:

the virus test seems bad.  2 that were positive got away :0  they would continue to spread the virus and the world would be taken over by Zombies :/

Other Questions
Help Please!!!! Will mark brainliest + 50 points!!!En ProvenceRpondez aux questions d'aprs le dialogue1. Comment s'appelle le professeur de franais?2. O est-ce que le professeur a vu ses lves aprs leursjour en famille?3. Quand est-ce que Rachel est alle au chteau d'IO?4. Est ce que Sarah a traverse le pont du Gard en bus?5. Avec qui est-ce que Jodi est sortie chaque weekend!6. Selon Jodi, est-ce que les ados sont pnibles en France7. Comment est ce que Steve est allen Aix-en-Provence?8. O est-ce qu'on va attendre le train pour Paris?Sarah a rivendlepon(Remoulins) What is the area of the kite 10 12 12 18 name two things that these church - controlled governments made people do I really need help and would appreciate it if you helped out :) What was the significance of the Battle of Vicksburg?a)The battle gave the Union control of the Mississippi River, dividing the Confederacy in two.B)General McClellan was promoted to General-in-Chief of the Union armies.C)The Confederacy proved that it could delay any Union advance into the South.D(General Lees army trapped Union forces, leading to a major Confederate victory. _____ feed on dead matter, causing it to decay while _____feed on already decaying matter. Bismith Company reported: Actual fixed overhead Fixed manufacturing overhead spending variance Fixed manufacturing production-volume variance $700,000 $40,000 unfavorable $30,000 unfavorable To record the write-off of these variances at the end of the accounting period, Bismith would A. credit Fixed Manufacturing Production-Volume Variance for $30,000 B. debit Fixed Manufacturing Control for $700,000 C. credit Fixed Manufacturing Overhead Allocated for $700,000D. debit Fixed Manufacturing Overhead Spending Variance for $40,000 What are the 2 common uses for Copper? (require 250 words)The motive of Lyndon Johnson's escalation of the War in Vietnam was to stop spread of communism in Southeast Asia. The War was controversial, creating a generational divide between older Americans who largely supported the anticommunist effort, and younger Americans who opposed it and formed the antiwar movement. What were the arguments of those opposed to the War? How did antiwar protesters change the perspectives that most Americans had on the War? QUICK ITS TIMED WILL GIVE BRAINLYISTWhich measurements are in the correct order from largest to smallest? A. quart, pint, cup, fluid ounce B. gallon, quart, cup, pint C. gallon, pint, quart, cup D. gallon, cup, fluid ounce, quart The standard gasoline engine for the 2017 Toyota Corolla includes the following data: Configuration: In-line four-stroke, four-cylinder engine Bore: 3.17 in Stroke: 3.48 in Compression ratio: 10.6:1 Assuming an ideal Otto cycle to describe this engine. Consider the working fluid to be air, modeled as an ideal gas with variable specific heat. Determine: (a) The total engine volume VBDC for all cylinders (cu.in). (b) The mass of air (lbm) contained in the engine assuming ambient conditions of 540 R and 14.7 psia. (c) The efficiency of the engine (%). The maximum temperature that occurs during the cycle is 3600 R. Energy is harnessed from the __________ of New Zealands North Island. A. geothermal plateau B. Vinson Massif C. high island D. limestone plateau Please select the best answer from the choices provided Hi guys please help me out I would appreciate it thank you so much How did the arms race affect America? ANSWER FOR BRAINLIEST AND 50 POINTS:The high temperatures for the last seven days are: High Temperatures: 81, 78, 83, 89, 80, 87, 78Find the MEAN of the temperatures. Round to the nearest tenths place.A. 82.3B. 89C. 83D. 78 Which expression is equivalent to 10x2 - (2 3x) + (5x - 3x2)? On a basketball court there is a semicircle above the free throw line that has a radius of 7 find the area of semicircle What is the highest degree of the graph shown above?a 5b 60 degreesc 4d Not enough information to answer the question What is the slope of the line that passes through the points (6,5) and (7,14)? The first digits of data entries in most real-world data sets are not uniformly distributed. The most common first digit is 1, followed by 2, and so on, with 9 being the least common first digit. This phenomenon is known as Benford's Law.The table below is the probability distribution for Benford's Law where the random variable D represents the first digit in a data entry.What is the probability that a randomly selected data entry has a first digit greater than 7?