Write the number as a quotient of integers to show that it is rational.
300= ?/?

Answers

Answer 1

Answer:

300 is a rational number because it can be expressed as the quotient of two integers: 300 ÷ 1.

Step-by-step explanation:

Answer 2

The number [tex]300[/tex] can be written as [tex]\frac{300}{1}[/tex] as a quotient of integers to show that it is rational.

A rational number is a number of the form [tex]\frac{p}{q}[/tex], where [tex]q \ne0[/tex] and [tex]p[/tex] and [tex]q[/tex] must be co-primes.

To write a number in the form of quotient of integer, we write it as [tex]\frac{p}{q}[/tex], where [tex]q \neq 0[/tex].

Here, [tex]300[/tex] can be written as [tex]\frac{300}{1}[/tex] or [tex]\frac{600}{2}[/tex]or [tex]\frac{900}{3}.[/tex]

But we should also take care that [tex]p[/tex] and [tex]q[/tex] must be co-primes.

Co-primes are the pairs of numbers that have only one common factor which is [tex]1[/tex].

So, [tex]300[/tex] can be written as [tex]\frac{300}{1}.[/tex]

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Related Questions

The slope represents the ________ of a line.

Answers

Answer:

Gradient

Step-by-step explanation:

The slope represents the gradient of a line

7th grade math help me please :))

Answers

Answer:

Try 300

Step-by-step explanation:

Because one full order would be 20 dollars and 20 times 15 equals 300

Answer:

your answer is option C $188

Which relationships have a constant of proportionality equal to 25? Pick 2 answers

Answers

Answer:

B and C.

Step-by-step explanation:

If you divide the y value by the x value then it would be 25 for B and C. A and D do not work. A does not work because as you move along the graph 25 divided by 2 and anything higher is not 25. I hope this helps!!

Answer:

b and c

Step-by-step explanation:

because 75/3=25

125/5=25 and and you already have the graph!

A triangle has angle measurements 24º and 85°. What is the measure of the remaining angle?
Enter your answer in the box.

Answers

Answer:

71 degrees

Step-by-step explanation:

The sum of the angles in a triangle is 180.

180 - 24 - 85 = 71.

The required measure of the remaining angle would be 71°

What is a Triangle?

Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles. It is one of the fundamental shapes in geometry and is represented by the symbol. It has three connected vertices. Triangles can be divided into a variety of categories according to their sides and angles.

A triangle has angle measurements of 24º and 85° which is given in the question.

The linear pair of angles are adjacent angles the sum of their measures is 180°

∵ The two angles form a linear pair

∴ The sum of the two angles = 180°

Let the measure of the remaining angle would be x

⇒ 24° + 85°  + x = 180°

⇒ x = 180 - 24° - 85°

⇒ x = 71°.

Therefore, the required measure of the remaining angle would be 71°

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Someone plz help me ASAP

Answers

Answer:

its 12

Step-by-step explanation:

in the bottom right of this question click the button that says brainliest please

Describe the transformations applied to the following function.
f(x)=x4→g(x)=(x+2)4−5

Answers

Step-by-step explanation:

please mark me brainliest and follow me my friend.


Find the area of the composite figure.

Answers

24m (xxxxxxxxxxxxxxx)

Answer:

i think 48

Step-by-step explanation:

name the three factors that determine simple interest​

Answers

The Interest Rate, The Time And The Principle Amount

Step-by-step explanation:

We know , [tex] \boxed{ \sf{Interest = Principal \times Time \times Rate}}[/tex]

Looking at the formula of simple interest , the three factors that determine simple interest should be :

Principal : The money which is borrowed or deposited is called principal . It is denoted by ' P ' .Time : The duration of time for which principal is deposited or borrowed is termed as time period. It is denoted by ' T ' .

Rate : The condition under which the interest is charged is called rate. It is denoted by ' R ' .

Hope I helped !♡

Have a wonderful day / night ! ツ

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(What did Benjamin Franklin use to lighten the mood in Philadelphia where the Constitution was being written?)

Sense of humor.

Ice cream.

An air-cooling device he had invented.

Poetic readings.

Answers

Answer:

Ice cream

Step-by-step explanation:

During the 1787 convention in Philadelphia when the constitution was being formed by the founding fathers, their sessions would usually end in heated arguments and disagreements.

To calm the delegates after the draining sessions, Benjamin Franklin who was then mostly in his home and 81 years old at that time, came up with the idea of entertaining the delegates in his home with the cold cream. His idea was helpful in reducing tensions.

Answer:

An air cooling he has invented

Step-by-step explanation:

The roof of the Terminal Tower is 709 feet above ground. A window washer dropped a bucket from the edge of the roof. How many seconds did it take for the bucket to hit the ground? Round to the nearest second

Answers

Answer:

6.64 seconds

Step-by-step explanation:

Given that:

Distance between roof of the terminal and ground = 709 feet

A bucket was dropped from the roof.

To find:

The time taken by the bucket to hit the ground?

Solution:

Distance traveled, [tex]s[/tex] = 709 feet

Initial velocity of the bucket, [tex]u[/tex] = 0 feet/sec (because initially it was at rest)

Acceleration of the bucket will be equal to acceleration due to gravity i.e.

[tex]g[/tex] or 32.1741 [tex]ft/sec^{2}[/tex]

Let the time taken is [tex]t[/tex] seconds.

Formula for distance is given as:

[tex]s = ut+\dfrac{1}{2}at^2[/tex]

Putting all the values:

[tex]709 = 0 (t) + \dfrac{1}{2}(32.1741) t^2\\\Rightarrow 1418 = 32.1741 t^2\\\Rightarrow t^2 = 44.07\\\Rightarrow t \approx \bold{6.64\ sec}[/tex]

Please help.
Anna is currently 8 years older than her sister Taylor. In 4 years she will be 2 times as old as Taylor. Let x be Taylor’s current age and answer the question

How oldies Taylor (numerical form)

Answers

Answer:

Taylor is currently 12

Step-by-step explanation:

x = Taylor's current age

x + 8 = Anna's current age

in 4 years:  x + 8 + 4 = 2x

                  12 = x

Answer:

If anna 8 yrs older and she will be 2 times older in 4 yrs then anna is 20

Taylor is currently 12

Step-by-step explanation:

in 4 years 24 will be anna

make X the subject of the formula


will mark brainliest!!​

Answers

Answer:

[tex]y = \frac{x + 2}{x - 4} \\ xy - 4y = x + 2 \\ xy - x = 4y + 2 \\ x(y - 1) = 4y + 2 \\ x = \frac{4y + 2}{y - 1} \\ \boxed{x = \frac{2(2y + 1)}{y - 1} }[/tex]

hope this helps.

7) A $125.70 grocery total is discounted 30%. What is the total paid?

Answers

Answer:

$37.71

Step-by-step explanation:

125.70/10 = 12.57

12.57 * 3 = 37.71

Answer:

37.71

Step-by-step explanation:

Find the slope of the line through each pair of points. (10.-12).(10,7)​

Answers

Answer:

7-(-12)/10-10

19

I hope this is correct.

Answer:

slope is undefined

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (10, - 12) and (x₂, y₂ ) = (10, 7)

m = [tex]\frac{7+12}{10-10}[/tex] = [tex]\frac{19}{0}[/tex]

Since division by zero is undefined then the slope of the line is undefined

A. Group of students were competing to raise money for a local animal shelter their goal was to raise $400 Philip raised 60% of the goal by himself how much money with the rest of the students need to raised

Answers

Answer:

$160

Step-by-step explanation:

remaining money= 40% x $400= 160

Answer:

see explanation

Step-by-step explanation:

100 percent -60 percent =40 percent

rest money =40 percent of $400

=40/100×$400

=$160.

: the rest many needed by the student is $160.

30 points! RIGHT ANSWER GETS BRAINLIEST!

Use 3 for pi. Area= (blank) circumference= (blank) meters

Answers

Answer:

Step-by-step explanation:

pi x 7 squared = 153.938040026

Elsa buys x pencils at 8 cents each and y pens at 12 cents
each.
What is the total cost?

Answers

Answer:

20 cents

Step-by-step explanation:

8+12=20 cents

please mark me as brainliesT!!!<2

Mrs Browns bill for servicing her car is £96 plus VAT. VAT is charged at 17.5%. What is her total bill?

Answers

_______________________________

T = V × P ÷ 100 + P= 17.5% × £96 ÷ 100 + £96= £112.8Mrs. Brown's Total Bill Is £112.8

_______________________________

The total bill for servicing her car will be £112.8

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.

Given that;

Mrs. Browns bill for servicing her car is £96 plus VAT.

And, VAT is charged at 17.5%.

Now,

Since, VAT is charged at 17.5%.

So, The VAT charge = 17.5% of £96

                                = 17.5 / 100 x £96

                                = £16.8

Hence, The total bill for servicing her car = £96 + £16.8

                                                                = £112.8

Thus, The total bill for servicing her car will be £112.8

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A billboard displays a large picture of a tire, draw to scale. The actual tire has a diameters of 40 inches. If the scale used for the picture is 1 3/4 feet equals 2 inches, what is the diameter of the tire, in feet, on the billboard? Plz I need it

Answers

Answer:

Diameter of the tire, in feet = 35 feet

Step-by-step explanation:

Given:

Actual diameter of tire = 40 inches

Scale; 1 3/4 feet = 2 inches

or

1.75 feet = 2 inches

Find:

Diameter of the tire, in feet

Computation:

Diameter of the tire, in feet = 40[1.75/2]

Diameter of the tire, in feet = 35 feet

A computer’s random number generator produces random integers from 1 to 50. What is the probability that the first 3 integers generated are single-digit numbers?

Answers

Answer:

A. 0.0058

Step-by-step explanation:

Graph the line that has a slope of 6 and includes the point (0,4).

Answers

Answer:

The equation of the line with slope 6 and containing the point (0, 4) will be:

[tex]y = 6x+4[/tex]

The graph of the line y = 6x+4 is attached below.

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

m is the slopeb is the y-intercept

Given

The slope m = 6The point (0, 4)

The y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

The point (0, 4) indicates that:

at x = 0, y = 4

Thus, the y-intercept b = 4

now substituting b = 4 and m = 6 in the slope-intercept form of the line equation

[tex]y = mx+b[/tex]

[tex]y = 6x+4[/tex]

Thus, the equation of the line with slope 6 and containing the point (0, 4) will be:

[tex]y = 6x+4[/tex]

The graph of the line y = 6x+4 is attached below.

Please answer and show your work its "Pythagorean Theorem Word Problems" the first one is answered to show how you will be answering it.

When you are answering each question mark it 2 to 9.
(8 questions)

Answers

Answer:

I hope the answers are right. Most of them should be though

Step-by-step explanation:

Find the equation of the linear function represented by the table below in slope-intercept form.

Answers

Answer:

y=-5x+1

Step-by-step explanation:

First lets identify what slope intercept form looks like:

y=mx+b

m=slope

b=y-intercept

the y-intercept would be at (0,1)

choose 2 points from the graph and lets find the slope.

The formula for slope is:

[tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1} }[/tex]

The points we will be using will be (1,-4) and (2,-9)

so -9 will be [tex]y_{2}[/tex] and -4 is [tex]y_{1}[/tex]

2 is [tex]x_{2\\}[/tex] and 1 is [tex]x_{1}[/tex]

set up the equation.

[tex]\frac{-9-(-4)}{2-1}[/tex]

[tex]\frac{-5}{1}[/tex]

m = -5

So the slope is -5 and the y-intercept is 1

[To find the y-intercept all you have to do is find what y is counting by. In this is would be -5. Go backwards one on the table so x is 0 and take away -5 and it will give you 1 which would be the intercept]

So the equation will be

y=-5x+1

Now when you want to solve it you plug in the x and y values for the table but it doesn't ask you to do that,

I've included a picture so you have a visual.

If you need further assistance, don't be afraid to reach out. Hope this helps!

PLEASE HELP BRAINLIEST AND POINTS!!

Answers

Answer:

Help with what....??

Step-by-step explanation:

OOOOOOOOOOPPPPPPPPPP

A airplane travels a speed of 300 miles per hour how far in miles will the air plane travel in 20 minutes decmal or fraction answer

Answers

Answer: [tex]15[/tex] or [tex]\frac{15}{1}[/tex]

Step-by-step explanation:

We need to divide 300 by 20.

We get [tex]15[/tex] or [tex]\frac{15}{1}[/tex].

Answer:150

Step-by-step explanation: if you do 30/2=15 add a zero=150

The diagonals of square LMNP intersect at K. Given that LK=3 and PN= 4.25

Answers

Answer:

Answer and steps in attachment

Step-by-step explanation:

-2/3 x = -3/2 dont unserstand how to solve this​

Answers

Answer:

yall dum

Step-by-step explanation:

Exact form x=9/4
Decimal form 2.25
Mixed number form x= 2 1/4

Evaluate y=−4x+3, for x=4.

Answers

Answer:

y = -13

Step-by-step explanation:

Given

x = 4

y = - 4 * 4 + 3

= - 16 + 3

= - 13

Hope it will help :)

what is 130.45 + 3.287 ?​

Answers

Step-by-step explanation:

130.45 + 3.287 = 133.737

Hope it will help :)

What happens first when a star begins to run out of fuel?

The star’s core shrinks.
The star becomes a black hole.
The star becomes a white dwarf.
The star’s outer layer drifts away.

Answers

Answer:

a

Step-by-step explanation:

When a star begins to run out of fuel, the first thing that happens is that the star’s core shrinks.

Option A is the correct answer.

What is the star's core in an automobile?

In the context of an automobile, the term "core" usually refers to a component of a vehicle's cooling system called the radiator core.

The radiator core is responsible for dissipating heat from the engine coolant by allowing air to flow through a series of metal fins attached to narrow tubes that carry the coolant.

We have,

When a star begins to run out of fuel, the first thing that happens is that the star’s core shrinks.

This is because the energy produced by nuclear fusion reactions in the core of the star is what keeps the star from collapsing under its own gravity.

As the fuel for these reactions runs out, the core of the star no longer has enough energy to counteract the force of gravity, causing it to shrink.

This in turn causes the outer layers of the star to expand, leading to the next stage in the star’s life cycle.

Thus,

The star’s core shrinks.

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