explain why a mixed number is a rational number

Answers

Answer 1
Mixed numbers are all rational numbers because they can be expressed as a fraction.

Related Questions

During a trip, a driver travelled a distance of 80km at an average speed of 60km/hr.He then changed his speed and travelled the remaining 20km of his journey at 30km/hr. What was the drivers average speed for the entire journey?
Show all working!!​

Answers

Answer:

50 km/hr

Step-by-step explanation:

D = RT

Time for first part of trip = 80/60 = 4/3 hr.

Time for second part of trip = 20/30 = 2/3 hr.

total time for entire trip = 4/3 + 2/3 = 6/3 = 2 hr.

Total distance = 100 km

Average rate of speed for entire trip = 100/2 = 50 km/hr

Help with this please!!

Answers

Answer:

the first answer

Step-by-step explanation:

well first ofc u have to graph both equations to be able to compare them and if u don't have a graphing calculator just search up Desmos graphing calculator it will help A LOT

What is the range of the following parabola? (5 points)

Answers

Answer:

D

Step-by-step explanation:

Range is all the possible Y values in a graph

we can see that the graph will never reach a y value greater than three but will go to negative infinity

This means that answer is D (the y value will always be less than or equal to 3)

The cost price of an article is $40 and the profit is 20 per cent of the cost price.
What is the selling price of the article?

Answers

32 dollars since
40x0.20=8
40-8=32

fill in the blank. 1/9 ? -4
A .>
B. <
C. =​

Answers

Answer:

The answer is A.

Step-by-step explanation:

1/4 is greater than 0, since -4 is less than 0 1/4 is greater

can someone help me lol??

Answers

Answer:

X = 4.3, -0.3

Step-by-step explanation:

Write the answer with like a line on top of the 2 threes that you see

Mark me as brainliest!!

Find the mean. {21, 10, 27, 24, 15, 7, 19, 24, 31, 15, 11, 24}​

Answers

Answer:

19 is your answer

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

The mean of a set of numbers is the sum divided by the number of terms.

How to Find the Mean:

The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

Drag each rational number to the correct location on the table.
Identify the rational numbers as positive or negative.

Answers

Answer:

Step-by-step explanation:

Positive: -1/-3, -2/-2, +2/+3, -1/+3

the rest of them are negative

Answer:

Positive: 1+/+3  -2/-3  +2/+3  -1/-3 negative:-2/+3 +2/-3  -1/+3  +1/-3

Step-by-step explanation:

Thomas wants to spend no more than $25.50 movies and CDs. If he buys a movie for $9.50 and the CDs cost $5.00, how many CDs can Thomas purchase?

Answers

Answer:

3

Step-by-step explanation:

25.5-9.5=16

16-15=1 (highest multiple of 5 that fits into 16)

He can buy 3 cds and he will have $1 left over

I need help with this question for hw

Answers

6^11
Or 6 to the 11th power

Hope this helps ya :D

Darren reads 5 pages of a book each morning
and 7 pages of a book each evening.
How many pages will he read in seven days?

Answers

7+5=12
12x7=84
He will read 84 pages within seven days.

Classify the expression by degree. -6x5 + 7x4 - 5x2

2
3
4
5

WILL MARK BRAINLEST

Answers

Answer:

-6x5 + 7x4 - 5x2

Step-by-step explanation:

Answer:

6x5=30+7×4=38 combined it equals 58 5x2=10 58-10=48

HELP ASAP FIRST PERSON WITH CORRECT ANSWER GETS BRAINLIEST

Which statements about the triangles are correct? Select two that apply.

A. Triangle P is similar to triangle Q.
B. Triangle P is a reflection and a translation of triangle Q.
C. Triangle P is not similar to triangle Q.
D. Triangle P is a reflection and dilation of triangle Q.
E. Triangle P is a translation and a dilation of triangle Q.

Answers

Im pretty sure its C if not E

please help ill give brainliest answer!!

Answers

Answer:

Brainlyest answer plz

Answer:

IJ=77

Step-by-step explanation:

[tex]\frac{35}{20} =\frac{IJ}{44}[/tex]

[tex]20IJ=1540[/tex]

[tex]IJ=77[/tex]

a whale costs $14700 and depreciates in value by 8% per year. When will the whale be worth $100

Answers

Answer:

x = 60

Step-by-step explanation:

The question is asking

$14,700 * (1 - 8%)^x = $100

$14,700 * (1 - 0.08)^x = $100

$14,700 * (0.92)^x = $100

(0.92)^x = $100/$14,700

log(0.92^x) = log($100/$14,700)

x * log(0.92) = log(0.0068027)

x = log(0.0068027)/log(0.92)

x = 59.85

Since this question is asking in terms of years, we always round up (in this case to 60), as it won't fully be worth $100 by the beginning of the 59th year.

PLEASE HELP I WILL MARK U AS BRAINLIST !!!!

The length of each of the legs of an isosceles triangle is represented by the expression 5x-2 inches. The length of the base of the isosceles triangle is represented by the expression 3x +1 inches. The perimeter of the isosceles triangle is 42 inches.

determine whether each equation represents the perimeter of the isosceles triangle , in inches .

select yes or no for each equation

A. 13x-2=42 yes or no
B. (10x-2)+(3x+1)=42 yes or no
C.2(5x-2)+2(3x+1)=42 yes or no
D.5x-2+3x+1+5x-2=42 yes or no

THERE CAN BE MORE THAN ONE ANSWER.
thank you

Answers

Answer:

A.No

As,

5x - 2 + 5x - 2 + 3x + 1 = 13x - 3 = 42

But here,

13x - 2 which is not equal to 13x - 3

Hence, it's wrong.

B. No

As,

5x - 2 + 5x - 2 + 3x + 1 = (10x - 4) + (3x + 1) = 42

But here,

(10x - 2) + (3x + 1) which is not equal to (10x - 4) + (3x + 1)

Hence, it's wrong.

C. No

As,

5x - 2 + 5x - 2 + 3x + 1 = 2(5x - 2) + 3x + 1 = 42

But here,

2(5x-2)+2(3x+1) which is not equal to 2(5x - 2) + 3x + 1

Hence, it's wrong.

D. Yes

As,

5x - 2 + 5x - 2 + 3x + 1 = 42

Also,

5x-2+3x+1+5x-2 equal to 5x-2+3x+1+5x-2

Hence, it's correct.

Answer:

A and D is right

Step-by-step explanation:

I did the quiz and use the answer and it was right

Jim and Carol recorded gas prices at five stations for their own towns in the table below. Gas Prices Name Station 1 Station 2 Station 3 Station 4 Station 5 Jim $3.45 $3.54 $3.71 $3.62 $3.49 Carol $3.89 $3.65 $3.39 $3.48 $3.49 Which person's town had the lower mean for gas prices and by about how much?
A Jim, by $0.02
B Carol, by $0.02
CJim, by $0.06
D. Carol, by $0.06​

Answers

The answer is letter C

Which statement describes the sequence defined by a Subscript n Baseline = StartFraction n squared minus 16 Over n cubed + 4 EndFraction? The sequence diverges. The sequence converges to 0. The sequence converges to 1. The sequence converges to ∞.

Answers

Calculating the limit as n goes to infinity, it is found that:

The sequence converges to 0.

------------------------------

The sequence is given by:

[tex]a_n = \sum_{n=0}^{\infty} f(n)[/tex]

In which

[tex]f(n) = \frac{n^2 - 16}{n^3 + 4}[/tex]

------------------------------

If the limit of f(n) as n goes to infinity is a value, it converges to this value.If the limit of f(n) as n goes to infinity is infinity, it diverges.

------------------------------

The limit is:

[tex]\lim_{n \rightarrow \infty} f(n) = \lim_{n \rightarrow \infty} \frac{n^2 - 16}{n^3 + 4}[/tex]

Since it is a limit going to infinity, we consider just the terms with the highest exponents in the numerator and the denominator. Thus:

[tex]\lim_{n \rightarrow \infty} \frac{n^2 - 16}{n^3 + 4} = \lim_{n \rightarrow \infty} \frac{n^2}{n^3} = \lim_{n \rightarrow \infty} \frac{1}{n} = \frac{1}{\infty} = 0[/tex]

Thus: The sequence converges to 0.

A similar question is given at https://brainly.com/question/20553793

Answer: D The sequence converges to ∞.

Step-by-step explanation:

got it right 2022 edge

What is a formula for the nth term of the given sequence ? 10,-20,40...

Answers

The answer is c bro


if u need the solution i will give it to u

What expression can be used to find the quotient of 1,512 ÷ 24​

Answers

Answer:

63

Step-by-step explanation:

Select the correct answer.
What is the value of x in the triangle?

Answers

Answer:

D. 5√3

Step-by-step explanation:

tan 30° = x/15

or, 1/√3=x/15

or, x= 15/√3 = 5√3

Answer:

D

Step-by-step explanation:

Using the tangent ratio in the right triangle and the exacy value

tan30° = [tex]\frac{1}{\sqrt{3} }[/tex] = [tex]\frac{\sqrt{3} }{3}[/tex] , then

tan30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{15}[/tex] = [tex]\frac{\sqrt{3} }{3}[/tex] ( cross- multiply )

3x = 15[tex]\sqrt{3}[/tex] ( divide both sides by 3 )

x = 5[tex]\sqrt{3}[/tex] → D

The length of a rectangle is (x + 3) inches long, and the width is 3.4
inches. If the area is 15.3 square inches, which equation can be used to find
x? *

A. 3.4(x + 3) = 15.3
B 3.4x + 3 = 15.3
C. 3(x + 3.4) = 15.3
D. 3x + 3.4 = 15.3

Answers

Answer:

A)

Step-by-step explanation:

A cell phone company offers two different monthly text-messaging plans as shown in the table below. For what number of text messages will both plans cost the same?
A. 55 messages
B. 85 messages
C. 110 messages
D. 140 messages

Answers

Answer:

110

Step-by-step explanation:

Which expression represents a rational number?
Please help right now!!!

Answers

Answer:

A

Step-by-step explanation:

Every integer is a rational number; a whole number. The square root of 49 equals 7, which is the only outcome giving an integer as an answer.

Find the Area of the Trapezoid below *

Answers

Answer:

Hello! answer: C. 96 sq. cm

volume of a cone is 48 pi cubic inches the cone has a height of 36 inches Mark finding the radius of the cone complete his work

Answers

Answer:

c or take the square root of both sides

a or 2 inches

Step-by-step explanation:

the equation of the line that is perpendicular to the line with equation y=-2x-1 and passes through the point (1, -2) is?

Answers

Answer:

[tex]y=\frac{1}{2} x-\frac{5}{2}[/tex]

Step-by-step explanation:

Hi there!

Note that:

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Perpendicular lines always have slopes that are negative reciprocals of each other (ex. 3 and -1/3, 5/6 and -6/5, etc.)

1) Determine the slope (m)

When we look at the given line, [tex]y=-2x-1[/tex], we can identify that -2 is in the place of m, the slope of the line. Because perpendicular lines are negative reciprocals of each other, we know that a line perpendicular to this would have a slope of [tex]\frac{1}{2}[/tex]. Plug this into [tex]y=mx+b[/tex]:

[tex]y=\frac{1}{2} x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=\frac{1}{2} x+b[/tex]

Plug in the given point (1,-2)

[tex]-2=\frac{1}{2}(1)+b\\-2=\frac{1}{2}+b[/tex]

Subtract 1/2 from both sides

[tex]-2-\frac{1}{2}=\frac{1}{2}+b-\frac{1}{2}\\-\frac{5}{2} = b[/tex]

Therefore, the y-intercept of the line is [tex]-\frac{5}{2}[/tex]. Plug this back into [tex]y=\frac{1}{2} x+b[/tex]

[tex]y=\frac{1}{2} x-\frac{5}{2}[/tex]

I hope this helps!

Which of the following is true about the expression v3 • V12?

Answers

Answer:

I think is B.

Step-by-step explanation:

hope its help

Answer:

Option B

Step-by-step explanation:

Solve the following quadratic equation for all values of xx in simplest form.
5(2x+1)^2+6=26 cant figure this out!!

Answers

Answer:

x=1/2 and x=-3/2

Step-by-step explanation:

5(2x+1)^2+6=26

5(2x+1)^2=20

(2x+1)^2=4

2x+1=±2

Now make two equations and solve both for x:

2x+1=2

2x=1

x1=1/2

2x+1=-2

2x=-3

x2=-3/2

(C) Find the arithmetic mean of given data
12, 10, 15, 14, 16, 25, 18, 22​

Answers

Answer: Mean- 16.5

Step-by-step explanation:

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