How do I simplify rational expressions

Answers

Answer 1

Answer:

a rational expression is an expression that has a RATIO in it

look at the word "RATIO"nal

a ratio is just a fraction...

so your question is "how to simplify fractions"

lots of approaches, this is one of them...

PRIME FACTOR the numerator and denominator

[tex]\frac{90}{135}[/tex]

90 = 2 * 3 * 3 * 5

135 = 3 * 3 * 3 * 5

= 2/3 (the two 3's cancel and the 5's cancel)

Step-by-step explanation:


Related Questions

At the city museum, child admission is 6.30 and adult admission is 9.50. On Saturday, three times as many adult tickets as child tickets were sold for total sales of $1113.60 . How many child tickets were sold that day?

Answers

Answer:

15child tickets

Step-by-step explanation:

$113.60÷4=28.4

28.4×3=85.2

113.60-85.2=100:6.3=15

4.5hour into second

Answers

Step-by-step explanation:

4 .5 ×60min

4.5×60×60sec

16200 sec

1 hour -3600 sec                                                                                                    4,5 hoer - x sec                                                                                                         x=4,5* 3600=45*360=16200 sec                                                                     Answer: 4,5 hour = 16200 sec

A circular sheet covers 425cm on the table,find the area of the sheet.



solve this question plz.​

Answers

Answer:

sorry i cannot help you

For the geometric series 2 + 6 + 18 + 54 + ... , find S8

Answers

Answer:

[tex]\displaystyle S_{8}=6560[/tex]

Step-by-step explanation:

We have the geometric sequence:

2, 6, 18, 54 ...

And we want to find S8, or the sum of the first eight terms.

The sum of a geometric series is given by:

[tex]\displaystyle S=\frac{a(r^n-1)}{r-1}[/tex]

Where n is the number of terms, a is the first term, and r is the common ratio.

From our sequence, we can see that the first term a is 2.

The common ratio is 3 as each subsequent term is thrice the previous term.

And the number of terms n is 8.

Substitute:

[tex]\displaystyle S_8=\frac{2((3)^{8}-1)}{(3)-1}[/tex]

And evaluate. Hence:

[tex]\displaystyle S_8=6560[/tex]

The sum of the first eight terms is 6560.

Answer:

S₈ = 6560

Step-by-step explanation:

The sum to n terms of a geometric sequence is

[tex]S_{n}[/tex] = [tex]\frac{a(r^{n}-1) }{r-1}[/tex]

where a is the first term and r the common ratio

Here a = 2 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{6}{2}[/tex] = 3 , then

S₈ = [tex]\frac{2(3^{8}-1) }{3-1}[/tex]

    = [tex]\frac{2(6561-1)}{2}[/tex]

    = 6561 - 1

    = 6560

Find the area of a circle with radius, r = 5.72m.
Give your answer rounded to 2 DP.
r
The diagram is not drawn to scale.

Answers

Answer:

A≈102.79

Step-by-step explanation:

The formula for area of a circle is πr² so we need to substitute the r by 5.72.

π×5.7² = 102.79 m²

Answer:

Approximately 102.79 meters squared

Step-by-step explanation:

pi times 5.72 meters squared

Hope this helps!

If a flexible air-filled container has a volume of 40 cu ft on the surface, what would the volume be at 99 feet in sea water

Answers

Answer:

50 cu ft

Step-by-step explanation:

The volume of flexible air filled container at 99 feet in sea water is 10 cu.ft.

What is Boyle's law?

Boyle's Law states that If the temperature is constant, the volume of a  gas is inversely proportional to the absolute pressure.

V 1/V2 =P2/P1

V2 = P1 x V1 /P2

Substitute 60 psi for P2, 14.7 psi for P1 and 40cu.ft for V1, we get the volume V2

V2 = 40 x 14.7 / 60

V2 = 9.8 cu.ft

Volume is approximately 10 cu.ft.

Thus, the volume of flexible air filled container at 99 feet in sea water is 10 cu.ft.

Learn more about Boyles law.

https://brainly.com/question/1437490

#SPJ2

At a party there are 30 students over the age of 21 and 15 under the age of 21. You select a representative sample of 5to interview about attitude towards alcohol. Explain your method and select ypur sample

Answers

Answer:

Stratified sampling

Step-by-step explanation:

Given

[tex]30 \to 21\ and\ above[/tex]

[tex]15 \to Under\ 21[/tex]

Required

The type of sampling method

From the question, we understand that, the sample are divided into two categories. This means that each person in each person do not have the same probability of being selected.

Such method is a stratified sampling

Simple percent question!!!!
My question says that line segment DC is 50% longer than line segment BD, and BD is 40 ft. Does that mean DC is 60 ft or 80? Please explain, brainliest to whoever explains it properly and quickly

Answers

Answer:

60ft

Step-by-step explanation:

DC is 50% longer than BD (given)

BD is 40ft (given)

DC is 50% longer than BD this means that DC= BD+50% of  BD

40ft +50/100 * 40

=40ft +20ft

=60ft

Another way to solve this could be DC is 150%of BD as BD =40ft=100% of it's length.

So, 150/100 *40

=60ft

Hope this helps.

Please mark me as brainliest.

Solve for x. Round to the nearest tenth of a degree, if necessary

Answers

Step-by-step explanation:

here's the answer to your question

How do I write 7^2 (4 - 15x) in written form?

Answers

Answer:

square of 7 times 4-15x

hope it helps

stay safe healthy and happy...

I have another question I need help with. How do I solve for the missing angle?

Answers

Answer:

The angle measures approximately 18.19°.

Step-by-step explanation:

Since we want to find the angle and we are given the side adjacent to the angle and the hypotenuse, we can use the cosine ratio. Recall that:

[tex]\displaystyle \cos \theta = \frac{\text{adjacent}}{\text{hypotenuse}}[/tex]

The adjacent side is 19 and the hypotenuse is 20. Substitute:

[tex]\displaystyle \cos \theta = \frac{19}{20}[/tex]

We can take the inverse cosine of both sides:

[tex]\displaystyle \theta = \cos^{-1}\frac{19}{20}[/tex]

Use a calculator (make sure you're in Degrees Mode!). Hence:

[tex]\theta \approx 18.19^\circ[/tex]

The angle measures approximately 18.19°.

a drinks company use 76.8 kg of sugar in April .How much sugar the day use each day?​

Answers

Answer:

2.56 kgs

Step-by-step explanation:

76.8kg ÷ 30 days = 2.56 kgs

SoLuTiOn☞

Amount of sugar used - 76.8 kg

No. Of Days in Month of April - 30 days

∴ Sugar used each day is = 76.8 ÷ 30

[tex]76.8 \div 30 \\ \\ = \frac{76.8}{30} \\ \\ = \frac{768}{30 \times 10} \\ \\ = \frac{ \cancel{768}}{ \cancel{30} \times 10} \fbox{cancelling by 3} \\ \\ = \frac{256}{10 \times 10} \\ \\ = \frac{256}{100} \\ \\ = 2.56 \: kg[/tex]

So 2.56 kg is used everyday.

Hope This Helps You

Graph the equation of
= 1/3 − 4

Answers

Answer:my uncle john told me D

Step-by-step explanation:Beacause john have a brain

what is the additive identity of rational number​

Answers

Answer:

zero(0)

Step-by-step explanation:

The additive identity of a set of number is a number such that the its sum with any of the numbers in the set would give a result that is equal to the number in that set.

In other words, say for example the set of numbers is rational, the additive identity of rational numbers is 0. This is because, given any rational number say x, adding zero to the number x gives the same number x. i.e

x + 0 = x

If x is say 2, then we have;

2 + 0 = 2

Since adding zero to rational numbers gives has no effect on the numbers, then zero (0) is the additive identity of rational numbers.

What is the value if X?

A) 16
B) 30
C) 8
D) 15


A step by step analysis would be greatly appreciated but a simple answer will do as well.​

Answers

Answer:

[tex] \large{ \tt{ \bigstar \: {EXPLANATION : }}}[/tex]

Q. What do you mean by circumference ?

Ans : The perimeter of a circle is called its circumference. It is the total length of the curved line of the circle.

Q. What do you mean by chord ?

Ans : The line segment that joins any two points on the circumference of a circle is called the chord of the circle. In the figure , BA and DC are any two chords of the circle.

[ See the attached picture ] Observe the figure , you can see AB = 30 & CD = 15 + 15 = 30 which means chord BA and DC are equal. We know : Equal chords of a circle are equidistant from the centre. Hence, PO = OQ = 16 .

[tex] \large{ \boxed{ \boxed{ \tt{✺ \: OUR \: FINAL \: ANSWER : \boxed{16}}}}}[/tex]

Hope I helped! Let me know if you have any queries regarding my answer and also , Notify me if you need any help! ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

I think the answer is 16 so I hope it help

PLEASE HELP!!! PLEASE!!!

What is my average speed if I travel x mph for t hrs and then y mph for t hrs?

Thanks!

Answers

Answer:

Average speed = [tex]\frac{(x+y)}{2}[/tex] miles per hour

Step-by-step explanation:

Formula to calculate the average speed of an object is,

Average speed = [tex]\frac{\text{Total distance covered}}{\text{Time taken to cover this distance}}[/tex]

If I travel with the speed of x mph for t hours,

Total distance covered = Speed × Time

                                       = [tex]x\times t[/tex]

                                       = [tex]xt[/tex] miles

Similarly, if I travel with the speed y mph for t hours,

Total distance covered = [tex]yt[/tex] miles

Total distance covered by me = [tex](xt+yt)[/tex] miles

Total time taken to cover this distance = [tex]t+t[/tex]

                                                                 = [tex]2t[/tex] hours

Therefore, expression for the average speed will be,

Average speed = [tex]\frac{xt+yt}{2t}[/tex]

                          = [tex]\frac{(x+y)t}{2t}[/tex]

                          = [tex]\frac{x+y}{2}[/tex] miles per hour

Jaylee bought a pair of shoes and are seems to receive some below from the store she's trying to figure out the sales tax rate that she paid for the shoes she sets up the equation one point two equals k times 28.62 and found that the sales tax rate is approximately 5.7% explain the error Jerry Lee made right the equation you could use to solve and find the correct sales tax rate

Answers

Answer:

28.62*0.057=1.63134

so about 1.63

Hope This Helps!!!


What is the next step for this construction?
Connect points A' to C.
A. Connect points A’C
B. Draw another arc
C. Erase BC
D. Connect points C’ and B’

Answers

d. connect points c and b

Subtract 11.485-18.38

Answers

Answer:

-6.895

Step-by-step explanation:

11.485

-18.38

______

-6.895

Find the area of the parallelogram

Answers

Answer:

32

Step-by-step explanation:

8x4=32

Answer:need more time to solve-

Step-by-step explanation: A= b x h

factorise the following. x²-4​

Answers

(x-2)(x+2) is factorize is given eq

Dog breeds 2238 pages in seven hours he reads the same number of pages each hour how many pages did he read in one hour

Answers

Answer:

319 pages and a half

Step-by-step explanation:

Divide 2238 by seven. The answer is about 319.71.

Write an
equivalent expression by distributing the "_" sign outside the parentheses:
-(2h + 9.6k) + 1

Answers

Answer:

On distributing the - sign outside the parenthesis we get,

-2h - 9.6k + 1

If a^b= b^a and b = 2a, what is the value of a + b?​

Answers

We are given:

aᵇ = bᵃ

b = 2a

Finding (a+b):

Finding a:

replacing b by 2a in the first equation, we get:

(a²)ᵃ = (2a)ᵃ

(a²)ᵃ = 2ᵃ * aᵃ

a²ᵃ / aᵃ = 2ᵃ                  [dividing both sides by aᵃ]

aᵃ = 2ᵃ                          [because xᵃ / xᵇ = xᵃ⁻ᵇ]

a = 2                             [raising both sides to 1/a]

Finding b:

We are given that b = 2a

now that we know what a equals, we will plug that value here

b = 2(2)

b = 4

Finding a+b:

We found that a = 2, b = 4

a + b = 2 + 4 = 6

The difference between $500.02 - $79.3 add explanation if possible

Answers

Answer:

420.72

Step-by-step explanation:

The answer is $420.72. I mean just subtract it as if they’re numbers with decimals? $500.02-$79.3. If you were to give a kid who just learned simple subtraction with money, they wouldn’t know how to do this, they will know if you add a 0 behind $79.3, which makes it $79.30

Please help me with this one I seriously suck at math

Answers

Answer:

6×5+8×6+6×7+2×1/2×4×8

= 152 in^2

○●○●○●○●○●○

☆Hope it helps...

The level temperature of liquid in a thermometer is 28.60 lower than the boiling point of water. What is the thermometer reading? *

Answers

Answer:

71.4 degrees Celsius or 183.4 degrees Fahrenheit.

Step-by-step explanation:

The boiling point of water is 100 degrees Celsius.

I assume you mean the liquid's temperature is 28.60 degrees Celsius lower than the boiling point of water, so 100 - 28.6 = 71.4.

Therefore the liquid is 71.4 celsius.

If you wanted the temperature in Fahrenheit, the answer is 212 - 28.6 = 183.4 degrees Fahrenheit.

PLEASE HELP!10 POINTS
find the maximum value of c=x+3y subject to the following constraints:
9x+2y≥35
x+3y≥14
x≥0
y≥0

Answers

Hello,

14

just see my picture

What is the equation for the diameter of a circle

Answers

Answer:

h

Step-by-step explanation:

Double radius

Kenneth ran a marathon (26.2) miles) in 5.5 hours. What was Kenneth’s average speed? (Round your answer to the nearest tenth.)

Answers

Answer:

4.8 miles per hour.

Step-by-step explanation:

Average speed=Total distance/Time taken

=26.2miles/5.5hour

=4.8 miles per hour

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