Mathematics Middle School

Show that each number is a rational number by expressing it as a ratio of two integers

A. 27
B. .075
C. 4 2/3
D. -9
E. 0.43
F. -18

Answers

Answer 1
Final answer:

Each number provided is a rational number, as they can all be expressed as a ratio of two integers. Therefore, they all qualify as rational numbers.

Explanation:

In Mathematics, a rational number is a number that can be expressed as a ratio of two integers. An integer is a whole number that can be positive, negative, or zero. Let's express each number given as a ratio of two integers:

 

A. 27 can be expressed as 27/1. B. 0.075 can be expressed as 75/1000. C. 4  2/3 can be expressed as 14/3 (since 4 2/3 equals to 4 + 2/3 = 12/3 + 2/3 = 14/3). D. -9 can be expressed as -9/1. E. 0.43 can be expressed as 43/100. F. -18 can be expressed as -18/1.

As you can see, each of these numbers can be written as a ratio of two integers, thus they are all rational numbers.

Learn more about Rational Numbers here:

https://brainly.com/question/36880638

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Answer 2

Each given number (27, 0.075, 4 2/3, -9, 0.43, and -18) is shown to be a rational number by expressing it as a ratio of two integers, such as 27/1, 3/40, 14/3, -9/1, 43/100, and -18/1, respectively.

To show that a number is a rational number, we must express it as a ratio of two integers.

27 can be expressed as 27/1 which is the ratio of two integers (27 and 1).0.075 can be written as 75/1000 which simplifies to 3/40 after dividing both the numerator and the denominator by 25.4 2/3 is 4 + 2/3 and can be written as 14/3 which is a combination of an integer and a fraction representing the ratio of two integers (14 and 3).-9 can be written as -9/1 which shows the number -9 as a ratio of two integers (-9 and 1).0.43 is equivalent to 43/100 and therefore can be expressed as the ratio of two integers (43 and 100).-18 can be written as -18/1 which is a ratio of two integers (-18 and 1).

Related Questions

What is 7 over 9 subtract 1 over 3

Answers

the answer is 4/9 or 0.44444
so if i understand correctly this is fraction subtractions so in order to do it you have to have a common denominator and in order to do it you will change 1/3 to 3/9 and then subtract it from 7/9
7/9-1/3
7/9-3/9
4/3
i hope this helped 

the sum of 2 numbers is 42 and the difference is 20

Answers

31 + 11 = 42

31 - 11 = 20

your answer is 31 & 11

hope this helps :D

A plane can fly 330 miles in the same time as it takes a car to go 210 miles. If the car travels 60 mph slower than the plane, find the speed of the plane.

Answers

330/x=210/x-60
11/x=7/x-60
11x-660=7x
4x=660
x=165

evaluate the expression when a=6 . a-24 ( a:-30 , b:-18 , c:18 , d:22 )

Answers

a=6, then a-24 is b:-18

Mary Sue bought two dolls priced at 7.40 each. The tax was 0.98.She paid the clerk with a 20.00 bill. How much change should she get back

Answers

7.40 x 2 + .98= 15.78 if she pays with $20 than her change will be $4.22
Hope this helps :]

A classmate said that ab is parallel to dc based on the diagram below. Explain your classmate's error.

Answers

For AB to be parallel to DC based on the diagram, angle AWZ must be equal to angle WZY.

But in the diagram shown, angle AWZ is equal to angle XYC and we are not told that WZ is parallel to XY.

Therefore his error is that he misapplied the alternate angle property.

A child’s ticket for a sightseeing cruise of the San Juan Islands costs $5 less than an adult’s ticket. If a represents the cost of an adult’s ticket, which expression represents the cost of a child’s ticket?

Answers

If a represents an adult's ticket, then a-5 would represent a child's ticket

<5 and <6 are vertical angles and m<5=33° find m<6

Answers

Answer:  m∡6 = 33°.
________________________________________________
Since all vertical angles are congruent and have EQUAL measurements, 

and ∡5 and ∡6 are vertical angles; 

then, m∡5 = m∡6 .
________________________________________________
So;  given m∡5 = 33° ;  m∡6 = 33° .
________________________________________________

The measure of the angle 6 is 33°.

Given that, ∠5 and ∠6 are vertical angles and m∠5=33°.

What are vertical angles?

Vertical angles are formed when two lines meet each other at a point. They are always equal to each other.

As we know, the vertical angles are congruent.

So, ∠5 = ∠6

⇒ ∠6 = 33°

Therefore, the measure of the angle 6 is 33°.

To learn more about the vertical angles visit:

https://brainly.com/question/10668231.

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A=2πr^2+2πrh Solve for π

Answers

A=2πr^2+2πrh
A=π(2r^2+2rh)
π = A / (2r^2+2rh)

what is the volume of toothpaste in a tube ?

Answers

It depends on the size of tube. Look at the label, it should list the volume.

Set up an equation for the perimeter, P, of the rectangle below. Solve for L.

Answers

2l+2w=p, however there is not enough information for me to solve for P, please provide more info.

350$ at 3% for 10 years. What Is the
Interest earned?

Answers

If you are using continuous compound interest, the formula is A = Pe^RT where A= amount, P= principal value, R = the rate, and t = time. E is an actual number that is kinda hard to explain but it's just a button on the calculator. 

In this case the equation would be A = 350e^(0.03)(10). This gives you approximately 472.4506 or approximately $472.45 since it's money and you round to the nearest penny. 
the answer is $472.45

I have no clue what to do here:
Shanice's car is traveling 10 miles per hour slower than twice the speed of Brandon's car. She covers 93 miles in 1 hour 30 minutes. How fast is Brandon driving?

Answers

hanice's rate: 93 / 1.5 = 62 miles per hour

she is 10 miles slower than twice the speed of Brandon

62 +10 = 72

72/2 = 36

 Brandon is driving 36 miles per hour

What is the coefficient of the variable in the expression 6 − 4x − 8 + 2?

Answers

the coefficient is the number multiplied by the variable (letter)....so ur coefficient is - 4

Answer:

The coefficient is -4. Hope this helps!!

Step-by-step explanation:

the segments below shown below could form a triangle


AC= 8
CB=7
BA=15

True or false?

Answers

The answer to this question is true.

Answer:

The answer is FALSE

Step-by-step explanation:

APEX

During a thunderstorm 600 millimeter of rain fell in 30 minutes how fast did the rain fall in millimeters per hour

Answers

20 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

On a adventure trail, you biked 12 mi, walked 4 mi, ran 6 mi, and swam 2 mi. What fraction of the total distance did you bike? Write this number as a decimal.

Answers

First you want to add all of those together.
12 + 4 + 6 + 2 = 24
So there are 24 miles in total.
Next, it says she biked 12 miles so you make a fraction.
12 / 24 which can be reduced to 1/2.
She spent one half of the total distance biking.
Hope this helps!

You biked 1/2, or 0.5, of the total distance on the adventure trail. The total distance covered was 24 miles.

To calculate the fraction of the total distance that you biked, we first need to determine the total distance covered in the adventure trail.

Biking: 12 milesWalking: 4 milesRunning: 6 milesSwimming: 2 miles

Adding these distances together gives us a total distance of:

Total Distance = 12 + 4 + 6 + 2 = 24 miles

The fraction of the distance biked is then given by the biking distance over the total distance:

Fraction Biked = 12 miles / 24 miles = 1/2

To express this fraction as a decimal, we perform the division:

Decimal Form = 1 ÷ 2 = 0.5

Therefore, you biked 1/2 (or 0.5) of the total distance.

will branlest! ASAP


13 - 5x ≤ - 7

x is greater than or equal to negative 4

x is less than or equal to negative 4

x is greater than or equal to 4

x is less than or equal to 4Save

Answers

x is greater than or equal to 4

In the equation 3x +8y =48 what is the slope of the line

Answers

in the equation 3x+8y=48 the slope of the line would be -3/8
`-3/8 is the slope after you simplify the answer to y=-3/8x+6

A rabbit can run short distances at a rate of 35miles per hour.a fox can run short distances at a rate of 21 miles per half hour.which animal is faster,and by how much?

Answers

The fox is faster. This means that while the rabbit can run at a rate of 35 miles per hour, the fox runs 42 miles per hour. Therefore, the fox runs 7 more miles per hour than the rabbit.
Since the fox's rate is based on half an hour and the rabbit's rate is based on a whole hour, you would need to create an equation that is spanned on the same amount of time. 

To do this you would, simply, multiply the fox's rate by 2.

21 x 2 = 42
[tex] \frac{1}{2} [/tex] x 2 = 1

42 mi/1 h

A fox can run 7 miles per hour faster than a rabbit can. 

I hope this helps!
 

Try to figure out this riddle : An eight-digit number contains two 1's, two 2's, two 3's, and two 4's. The 1's are separated by one digit, the 2's are separated by two digits,the 3's are separated by three digits and the 4's are separated by four digits. What is the number?

Answers

it should be 23421314

how many cups of sugar does it take to get to the moon??

Answers

over 5 million


i guess
What the  h e c k  is this supposed to even mean.

A rectangle is 12m longer than it is wide. Its perimeter is 68m. Find its length and width?

Answers

the width is 11m and the length is 23m

what is the answer to ( n+8) + (n-12)

Answers

(n + 8) + (n - 12)

Get rid of the parenthesis.

n + 8 + n - 12

Note : the (12) turns into a negative because a negative times a positive is always a negative :)

Combine like terms.

(n + n) + (8 - 12)

Simplify.

2n - 4

~Hope I helped!~


n+8+n+−12

Combine Like Terms:
n+8+n+−12

(n+n)+(8+−12)

2n+−4

Your final answer would be 2n−4


when writing an exponential function, how do you put 12.5% into a decimal.... for example 20% goes into .20 but how would I do that for 12.5? please help!

Answers

Remember that 1% is equivalent to 1 hundredth, or 0.01. What does 0.5% mean, then? Well, it's 0.5 hundredths, or five-tenths of a hundredth.

If we look at that in terms of fractions, that translates to:

[tex] \frac{5}{10}\times \frac{1}{100} = \frac{5}{1000}[/tex]

So, 0.5% is five thousandths, or 0.005, as a decimal. Combining that with 12%, which is 0.12 or twelve hundredths as a decimal, we have:

12.5% = 0.12 + 0.005 = 0.125

Sherman hopes to get at least a 90 average on his science test. He has one more test before the end of the year. His past test scores are 79, 94, 91, and 92.Write and solve an inequality that represents the situation. What is the lowest score Sherman can get on his final test and reach his? show your work

Answers

(79 + 94 + 91 + 92 + x) / 5 > = 90
(356 + x) / 5 > = 90
356 + x > = 90 * 5
356 + x > = 450
x > = 450 - 356
x > = 94 <=== Sherman can get the lowest score at 94

Answer:

94 points

Step-by-step explanation:

The mean is defined by the sum of the numbers divided by how many numbers there are, so:

[tex]\frac{(79+94+91+92+x)}{5}>=90\\\\\frac{(356+x)}{5}>=90[/tex]

Multiplying both sides by 5

[tex](356+x)>=450[/tex]

Subtracting 356 on both sides:

[tex]x>=94[/tex]

So Sherman has to obtain at least 94 points on his final test in order to get an average of at least 90.

what is 378653 in expanded form?

Answers

378653 in expanded form is:

300000 + 70000 + 8000 + 600 + 50 + 3

hope this helps
378653 in expanded form
= 300,000 + 70,000 + 8,000 + 600 + 50 + 3

hope it helps

Round 33.01 to the nearest tenth

Answers

Problem
Round 33.01 to the nearest tenth.

Result
33.0 

Solution
Since 1 is in the hundredths place, we cannot round up. This leaves 33.0 or 33.
33
Because 1 in hundredth is below 5 just keep tenth place as it is

What is 45.261 in expanded form

Answers

40.00+5.00+0.200+0.060+1=45.261

what is a decimal factor

Answers

a fraction where the denominator is the power of ten. you can write a decimal fraction with a decimal point, which make it easier to do calculations like multiplication and addition fractions
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