what is a rational algebraic expression?​

Answers

Answer 1
A rational expression is nothing more than a fraction in which the numerator and/or the denominator are polynomials. Here are some examples of rational expressions

Related Questions

Evaluate 0.1m + 8- 12n when m=30 and n = 1/4 answer

Answers

Answer:

8

Step-by-step explanation:

Original equation:

0.1m + 8 - 12n

Plug in the values of m and n

0.1(30) + 8 - 12(0.25)

Multiply.

0.1 x 30 = 3

3 + 8 - 12(0.25)

Multiply.

-12 x 0.25 = -3

3 + 8 - 3

Add.

3 + 8 = 11

11 - 3

Subtract.

11 - 3 = 8

Hope I helped :)

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You bike 16.2 miles in 1.8 hours at a steady rate. What equation represents the proportional relationship between the x hours you bike and the distance y in miles that you​ travel?

Answers

Answer:

9x

Step-by-step explanation:

You have to subtract both of the numbers and simplify it.

5)A chef has 3 1/16
pounds of flour in his kitchen. He buys

another 6 1/2
pounds of flour. How much flour does he

have in all?

Answers

Answer:

9 9/16

Step-by-step explanation:

The first step is to find the LCD of 16 and 2

It is 16, and you can multiply the 6 1/2 by 8 which equals 6 8/16

Then you add

3 1/16 + 6 8/16 is equal to 9 9/16, which is your answer.

Hope this helped

Sorry if it's wrong

:)

Answer:

the chef has 9 9/16 pounds of flour

select all expressions equivalent​

Answers

the equivalent ones are A, B, and C

What is the slope of the line? (Picture)

Answers

the slope will be 8/5

Given kite ABCD  with  AD=AB,  AO=3, and BD=8. Find AD.


This is to find the missing side with Vertex angles of Kite ∠A and ∠C, non-vertex angles are ∠D & ∠B, Main Diagonal bisects ∠A and ∠C and cross diagonal bisects ∠D and ∠B. Please help me find side AD

Answers

Answer:

AD = 5

Step-by-step explanation:

Given:

A kite ABCD with following dimensions:

AD = AB

AO = 3 and

BD = 8

To find:

AD = ?

Solution:

Kindly refer to the attached image for the figure of given dimensions.

In a kite, the following properties hold true:

1. The diagonals of a kite are perpendicular to each other.

2. The longer diagonal(along the vertex angles) bisects the shorter one.

Using above properties:

Looking at the [tex]\triangle AOD:[/tex]

[tex]\angle AOD=90^\circ[/tex]

AO = 3

OD = 4

We know that, Pythagoras theorem hold true in every right angled triangle.

According to Pythagorean theorem:

[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}[/tex]

[tex]AD^{2} = 4^{2} + 3^{2}\\\Rightarrow AD = \bold{5}[/tex]

The value of AD should be 5.

Calculation of the value of AD:

Since kite ABCD  with  AD=AB,  AO=3, and BD=8

Here angle AOD = 90 degrees

And, AO = 3 and OD = 4

So, here we use the Pythagorean theorem

[tex]= \sqrt 3^2 + 4^2\\\\= \sqrt{9 + 16} \\\\ = \sqrt{25}[/tex]

= 5

Hence, The value of AD should be 5.

Learn more about angle here: https://brainly.com/question/21103473

The distance between two asteroids was calculated at 37,500,000,000 kilometers. What is this value expressed in scientific notation?

Answers

I believe that the answer is 3.75x10^10

Solve for 50 points and brainliest!

10-3-7+18=

6-3-2+13=

Answers

Answer:

10-3=7

7-7=0

0+18=18

6-3=3

3-2=1

1+13=14

Step-by-step explanation:

Answer:1. 18

2. 14

Step-by-step explanation:

what is the 9th term in the sequence -1, 4, -9, 16, -25,...?​

Answers

Answer:

-81

Step-by-step explanation:

looks like they're doing perfect squares inversed..

so it'd go from -1,4,-9,16,-25,36,-49,64,-81

The answer above is correct my dude!

Which relation represents a function?
StartSet (0, 0), (2, 3), (2, 5), (6, 6) EndSet
StartSet (3, 5), (8, 4), (10, 11), (10, 6) EndSet
StartSet (negative 2, 2), (0, 2), (7, 2), (11, 2) EndSet
StartSet (13, 2), (13, 3), (13, 4), (13, 5) EndSet



A
B
C
D

Answers

Answer: Choice C{ (-2,2), (0,2), (7,2), (11,2) }

Here we don't have any repeated x values.

In choice A, x = 2 repeats. In other words, x = 2 leads to multiple y outputs. So this is not a function. Choices B and D are similar stories. A function is only possible if every x leads to exactly one y value only. The graph must pass the vertical line test.

Side note: the y values can repeat, but the function won't be one-to-one.

Which is better to buy 4.20 for 6 cans or 8.00 for 10 cans

Answers

Answer:

4.20 for 6 cans is better

Step-by-step explanation:

4.20 / 6 = 0.70 per can  

8.00 / 10 = 0.80 per can

0.70 per can is cheaper/less expensive than 0.80 per can.

The suspect was spotted riding the swings earlier in the day. Each swing can hold a maximum weight of 500 pounds. In order to reach the maximum weight, you would have to double the weight of the suspect and add 20 pounds less than the weight of George. Write and solve an equation to represent the suspect's weight.

Answers

Answer:

2y + ( x- 20)= 500

y= 520-x/2

Step-by-step explanation:

Let the weight of George be x and the weight of the suspect be y .

The swing can hold a maximum of 500 pounds .

Twice the weight of suspect added with 20 pounds less than the weight of George equals 500.

2y + ( x- 20)= 500

or

2y+x- 20 = 500

adding 20 to both sides

2y+x -20 +20= 500+ 20

or

2y +x = 520

Subtracting x from both sides

2y+ x-x = 520-x

or

2y = 520-x

Dividing by 2 on both sides

y= 520-x/2

The suspect's weight is y= 520-x/2

Answer:

s = 260 - g/2

Step-by-step explanation:

Given the following :

Maximum weight swing can hold = 500 pounds

Let suspect's weight = s

George's weight = g

To reach maximum weight :

Double weight of suspect + (George's weight - 20)

Hence, equation:

2s + (g - 20) = 500

2s + g - 20 = 500

2s + g = 500 + 20

2s + g = 520

2s = 520 - g

Divide through by 2

s = 260 - g/2

multiply (3-6i)^2 write in standard form

Answers

-27-36i .................................................................... not sure

The result of (3 - 6i)² will be -27 -36i .

Given,

(3 - 6i)²

Now,

The multiplication is of complex number .

So,

(3-6i)(3 - 6i)

So,

Multiply the terms ,

9 - 18i - 18i -36

Simplifying further,

-27 - 36i

Thus the resultant will be  -27 -36i  .

Know more about complex numbers,

https://brainly.com/question/30612470

#SPJ6

Evaluate 2a+7b if a = 5 and b = 3

Answers

Answer:

31

Step-by-step explanation:

2(5) + 7(3) =31

2x5 = 10

7x3 = 21

10+21 = 31

Answer:

The answer is 31

Step-by-step explanation:

Plug the numbers for the variables into the equation.

2×5+7×3

Multiply

10+21

Add

10+21 = 31

A store owner wants to develop a new snack mix by mixing banana chips and raisins. How many pounds of banana chips costing $7.70 per pound should be mixed with 18 pounds of raisins costing $4.30 per pound to create a mixture worth $5.73 per pound?

Answers

Let c = the pounds of chocolate needed.
The weight of the snack mix is c + 13.

16.2c + 4.1(13) = 9.65(c + 13)
16.2c + 53.3 = 9.65c + 125.45
6.55c = 72.15
c = 11 lbs

Alecia placed the numbers 0, 2, 14, -8, and -11 on the number line. Which of the numbers is furthest from zero?

Answers

Answer:

14

Step-by-step explanation:

Simplify: (1/3 - 2b)27

......................................

Answers

Answer:

9 -54b ________________

Kiaya has to have at least $100 in her checking account to avoid a fee from the bank. She has $376 in her account now. Each week, she makes a $25 withdrawal. For how many weeks can she make this withdrawal and avoid a fee?

Answers

Answer:

11 weeks

Step-by-step explanation:

Kiaya has $376 but can only withdraw $276 before being charged by the bank.

First I subtracted the $100 she can't spend from $376.

-She has a total of $276 she can spend without being charged.

Next, I divided $276 by $25 (the amount she withdraws every week)

- The total is 11.04

This means she has 11 Weeks before she will have to pay the fee.

Hope I helped you out!! :)

1+1+2+3+4+5+6+7+8+9=?

Answers

Answer:

The answer is 46

Step-by-step explanation:

Self explanatory i just added them together

hope i helped :D

i need help with this asap!homework is due tomorrow.

Answers

Heyyy!!

HERE'S YOUR ANSWER!

AB²+BC²=AC²

Answer:

If triangle ABC is a right angled triangle,right angled at C

AB²=AC² + BC²

Pls mark me brainliest

Step-by-step explanation:

Find the quotient of 1 1/5 and 3 4/5

Answers

Answer:

0.2 and 0.8

Step-by-step explanation:

Given the ordered pairs find the value of r that makes the slope equal to the given value (3 , r) and (7 , 2) m= 1/4
Possibles answers
A) r= -1
B) r= 2
C) r=1
D) r =3
E) r=0

Answers

Answer:

C

Step-by-step explanation:

Calculate the slope m using the slope formula, then equate to [tex]\frac{1}{4}[/tex]

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

with (x₁, y₁ ) = (3, r) and (x₂, y₂ ) = (7, 2)

m = [tex]\frac{2-r}{7-3}[/tex] = [tex]\frac{2-r}{4}[/tex] , then

[tex]\frac{2-r}{4}[/tex] = [tex]\frac{1}{4}[/tex] ( since denominators are both 4, equate the numerators )

2 - r = 1 ( subtract 2 from both sides )

- r = - 1 ( multiply both sides by - 1 )

r = 1 → C

your answer would be c.

Without working out the multiplication, which product is larger, why? 3 × 1/5 or 3 × 1/10

Answers

Answer:

The product that will be larger is 3x1/5

Step-by-step explanation:

So in order to know this we have to look at the fractions. We already know that 1/5 is larger than 1/10. To double check our work, we can convert these fractions into percents. 1/5 being 20% and 1/10 being 10%. So now that we have prooved 1/5 is larger, multiplying the larger fraction by three will give us a larger product.

Hope this helped ;)

38.03 - 2.678


Brainliest!

Answers

Answer:  35.352

Step-by-step explanation: Have a blessed day!

Answer:

35.352

Step-by-step explanation:

Do you realize that this is why they invented calculators?

Find x- and y-intercepts. Write ordered pairs representing the points where the line crosses the axes.

y= 1/3 x− 2/3

Answers

Answer:

y-intercept = (0,-2/3)

x-intercept = (2,0)

Step-by-step explanation:

*X-intercept touches the x-axis & y-intercept touches the y-axis*

You can identify the y-intercept by looking at the equation.

The slope is 1/3x and the y-intercept is -2/3.

I'm not sure how to solve for the x-intercept, but you can make a graph with the y-intercept and the slope points. By doing this you should be able to find the x-intercept.

Hope this helped!!!  :)

PS: Check out the Desmos Graphing Calculator

This website helps a lot with these types of problems. You can type the equation, and it will show you a graph. If you look at the graph, you'll be able to determine the slope, the x-intercept, and the y-intercept.

Solve the system of equations by substitution. x + y = 27 y = 8x​

Answers

Answer: x = 0, y = 0

Step-by-step explanation:

x + y = 27y = 8x

Consider the first equation. Subtract 27y from both sides.

x + y = -27y = 0

Combine y and -27y to get -26y

x - 26x = 0

Consider the second equation. Subtract 8x from both sides.

27y - 8x = 0

To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for the variable in the other equation.

x - 26y = 0, -8x + 27y = 0

Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.

x - 26y = 0

Add 26y to both sides of the equation.

x = 26y

Substitute 26y for x in the order equation,

-8x + 27y = 0.

-8 x 26y + 27y = 0

Multiply -8 times 26y

-208y + 27y = 0

Add -208y to 27y

-181y = 0

Divide both sides by -181.

y = 0

Substitute 0 for y in x = 26y. Because the resulting equation contains only one variable, you can solve for x directly.

x = 0

Evaluate the
10 Plus 54/-6

Answers

Answer: 0.6 repeating

Step-by-step explanation:

Answer:

obj

Step-by-step explanation:

obj basically means that like

o: onul AM scared

b: bat

j: jaywalk

this is an exampe of J in the obj becauase the 10 is jaywalking adding to 54!!!.W!?KL herobrine?/?? he said threat!!! what is life mean to be god? Same.

Given the following sequence: {x. 3x, 5x, 7x, 9x .... ). what will the value of
the TENTH term be?

Answers

Answer:

The tenth trem will be 21x considering 3x as one 1 + 10x2=21

Find all whole values for y for which the double inequality is true: -5

Answers

Answer:

The values of y for which the inequality is true are;

-4,-3,-2,-1,1,0,1

Step-by-step explanation:

Here, we want to give all the values of y for which the given inequality is true

We have the inequality as;

-5 < y < 2

This can be read as -5 is less than 5 which is less than 2

This means that the correct y-values lie between -5 and 2 which are not inclusive

So the correct values of y in this case are;

-4,-3, -2, -1 , 0, 1

A car wash washes 68 cars in 8 hours. At this rate, how many cars are washed in 1 hour?

Answers

Answer:

8.5 (If just pure cars then 8.)

Step-by-step explanation:

To find this, just divide 68/8 to find how many cars are washed in an hour. Plugging it into a calculator, we find out that it is 8.5. If you need elaboration, just comment.

What you have to do is divide 68 by 8 bc then it will change it to one and you get 8.5
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