simplify this complex fraction 1 2/3 divided by 2 1/9

Answers

Answer 1

Answer:

[tex]\frac{5}{3} \times\frac{9}{19}[/tex]

Step-by-step explanation:

In order to simplify this equation you need to convert these whole number fractions into improper fractions and then use KCF. (Keep, Change, Flip)

[tex]1\frac{2}{3} \div2\frac{1}{9}[/tex]

Convert into improper fractions:

[tex]1\frac{2}{3} = 3\times1+2=\frac{5}{3}[/tex]

[tex]2\frac{1}{9} =9\times2+1=\frac{19}{9}[/tex]

(Remember to keep the denominators the same)

[tex]\frac{5}{3} \div\frac{19}{9}[/tex]

Now use KCF

[tex]\frac{5}{3} \div\frac{19}{9} = \frac{5}{3} \times\frac{9}{19}[/tex]

[tex]= \frac{5}{3} \times\frac{9}{19}[/tex]

Hope this helps.


Related Questions

What is the length of the line segment with endpoints (11, −4) and (−12, −4) ?

Answers

Answer:

23 units on the x axis

Step-by-step explanation:

*Find 6 5/8% of $1,480.90. Round to the nearest cent.

Answers

9514 1404 393

Answer:

  $98.11

Step-by-step explanation:

If your calculator doesn't work with mixed numbers, you must first convert 6 5/8% to a decimal fraction.

  6 5/8 = (6·8+5)/8 = 53/8 = 6.625

  6 5/8% = 0.01×6.625 = 0.06625

Then the desired amount is ...

  0.06625 × $1480.90 = $98.109625 ≈ $98.11

6 5/8% of $1,480.90 is $98.11.

How do I solve this problem?

Answers

Answer:

sbsjsjsvshwjbqvsjanavshsjsnsbsvsbsbsbssv d sms and avjaaush e as his new s snwqlpasn s w

It should be x^4/7 (the first option). When you multiply square roots, you can convert them into x to the root of whatever the numbers are. An example would be the square root of x. You can convert that to x^1/2. The root on the outside is the denominator and the exponent on the inside is the numerator. For this one, you'd convert it to x^1/7. Then, you'd add all of the exponents up. 1/7 + 1/7 + 1/7 + 1/7 = 4/7. If you wanted to convert it back to a root form, it'd be ^7√x^4, but since there's no option for that, it'd be x^4/7

Anna worked worked 37 hours this week at £8.97 hour. she then worked nine hours overtime at time and a half. how much does she get paid in total? round your answer to the nearest pound.​

Answers

417

Step-by-step explanation:

I hope this helps :)

Solve each equation. y + 20 = 7

Answers

Answer:

I Meant y =  -13

Step-by-step explanation:

Answer:

y= -13

Step-by-step explanation:

-13 plus 20 is 7

plug the -13 in where the y is and do the equation

-13+20=7

Una parte de 25 000 dólares se invierte al 10% de interés, otra parte al 12 % y el resto al 16%. El ingreso anual total de las tres inversiones es de 3200 dólares. Además, el ingreso de la inversión al 16% es igual al ingreso de las otras dos inversiones combinadas. ¿Cuánto se invirtió a cada tasa de interés?

Answers

Answer:

$5000 at 10%, $10000 at 12% and 10000 at 16%

Step-by-step explanation:

One part of $ 25,000 is invested at 10% interest, another part at 12%, and the rest at 16%. The total annual income from the three investments is $ 3,200. Also, the income from the investment at 16% is equal to the income from the other two investments combined. How much was invested at each interest rate?

==================

Let the parts be x, y and z

As per given we get below system of equations:

x + y + z = 250000.1x + 0.12y + 0.16z = 32000.1x + 0.2y = 0.16z

Substitute 0.1x + 0.2y in the second equation:

0.16z + 0.16z = 32000.32z = 3200z = 3200/0.32z = 10000

Now we have:

x + y + 10000 = 25000 ⇒ x + y = 15000

and

0.1x + 0.12y + 0.16*10000 = 3200 ⇒ 0.1x + 0.12y = 1600

Multiply the second equation and then subtract the first one:

10(0.1x + 0.12y) = 10(1600) ⇒ x + 1.2y = 16000x + 1.2y - (x + y) = 16000 - 150000.2y = 1000y = 10000

Then

x = 15000 - 10000 = 5000

So the parts are:

$5000 at 10%, $10000 at 12% and 10000 at 16%

2. Weekly CPU time used by an accounting firm has a probability density function (measured in hours) given by

Answers

Answer:

good luckgood luckgood luckgood luck

Step-by-step explanation:

good luckgood luckgood luckgood luck

5. My red or blue shirt club has 32 members. If the number of people wearing read shirts
is 4 less than triple the number of people wearing blue shirts, how many people are
wearing red shirts?

Answers

Answer:

(red shirt people) r - 4[tex]\sqrt[3]{b}[/tex] (blue shirt people)

Step-by-step explanation:

I don't know if you want an equation or an exact answer. I have an equation though.

I got this answer like this:

4 less is minus 4

triple is multiplication and/or times

Write each parabola in the form y−k=a(x−h)^2 and determine its vertex: y=−4x^2+16x−19

Answers

X = -b/2a
-16/2(-4) = 2
Substitute 2 into the equation
Y = -4(2)^2 + 16(2) - 19
Y = -16 + 32 - 19 = -3
Vertex = (2, -3)
Vertex form y+3=-4(x-2)^2

i just got done cutting and taking out the seeds of chilies and i went to go use the restroom and now my bottom part is BURNING HELP ME

Answers

Answer:

Lol I can't help im sorry

Please answer number 4 please!

Answers

The answer is : A

Hope this helps.

I believe the answer is A.

What is 3/4 divided by 2 1/2

Answers

Answer:

3/10

Step-by-step explanation:

Convert 2 number to improper fraction find a common denominator and KFC, Keep, Change, Flip.

Keep first fraction

Change / into x

And flip the other fraction (2 1/2 or 5/2) to (2/5)

3/4 x 2/5 is 3/10

Terry earns a base salary of $2100 per month. Once he reaches $40000 in total sales, he earns an additional 5% commission (salary) on the amount of sales over $40000. Let s be the amount of his total sales for the month and M(s) be the amount of his salary for the month. (For instance, if he had sales of $42000 for the month, he would earn a salary of $2100 and 5% of $2000, since $42000 is $2000 more than $40000.)

Answers

Answer:

$4200

Step-by-step explanation:

Step one:

given data

we are told that Terry's base salary is $2100  per month.

in addition 5% on sales greater than $40000.

let the monthly salary be M(s)

and let "s" be the amount of sales made

his monthly commission =0.05s

Step two:

The expression for his monthly earning is given as

M(s)=0.05s+2100   where s>40000

 hence for a month when s=42000

M(s)=0.05(42000)+2100

M(s)=2100+2100

M(s)=4200

Therefore for an instance when s=42000 his earnings  for the month will be $4200

Need help with statistics question please.

25. Filling Bottles A certain brand of apple juice is supposed to have 64 ounces of juice. Because the punishment for under filling bottles is severe, the target mean amount of juice is 64.05 ounces. However, the filling machine is not precise, and the exact amount of juice varies from bottle to bottle. The quality-control manager wishes to verify that the mean amount of juice in each bottle is 64.05 ounces so that she can be sure that the machine is not over- or under filling. She randomly samples 22 bottles of juice and measures the content and obtains the following data:
64.05 64.05 64.03 63.97 63.95 64.02 64.01 63.99 64.00 64.01 64.06 63.94 63.98 64.05 63.95 64.01 64.08 64.01 63.9 63.97 64.10 63.98

(a) Because the sample size is small, she must verify that the amount of juice is normally distributed and the sample does not contain any outliers. The normal probability plot and box plot are shown. Are the conditions for testing the hypothesis satisfied?

(b) Should the assembly line be shut down so that the machine can be re calibrated? Assume =0.06 ounces and use a 0.01 level of significance.

(c) Explain why a level of significance = 0.01 of might be more reasonable than 0.1 [Hint: Consider the consequences of incorrectly rejecting the null hypothesis.]

Answers

Answer: Hmm this question was very hard.

Step-by-step explanation:

50% of trick or treaters dressed up as a ghosts.
You have seen 33 ghosts. How many trick or
treaters did you see in all?

Answers

Answer:

66

Step-by-step explanation:

50% = 1/2

33 x 2 = 66

¿ Qué porcentaje de 70 es 35?

Answers

Answer:

Step-by-step explanation:

50% mi amigo

The first term of a sequence is 18, and the fifth term is 54. What is the common difference between each two consecutive terms? 36 27 18 9
Will give brainliest

Answers

Answer:

9

Step-by-step explanation:

Sorry to lazy to type

Calculation is up

Answer:

The answer to your question will be 9, sorry that im late!

Step-by-step explanation:

Which ratio is an equivalent ratio to the tape diagram? Select all that apply.

12 to 15
3 to 4
8 to 10
4 to 10

Answers

Answer:

hi kermit

Step-by-step explanation:

the answer is 4 to 10 its a 50 50 chance of wrong or right

Answer:

b

Step-by-step explanation:

I'm going with my gut along with what the image shows me.

It is known that the variance of a population equals 1,936. A random sample of 121 has been taken from the population. There is a .95 probability that the sample mean will provide a margin of error of a. 7.84 b. 31.36 c. 344.96 d. 1,936

Answers

Answer:

It is known that the variance of a popualtion equals 1,936.

Step-by-step explanation:

That should be correct!!!

There is a 0.95 probability that the sample mean will provide a margin of error of 7.84.

What is mean by Probability?

The term probability refers to the likelihood of an event occurring.

Given that;

The variance of a population = 1,936

And, A random sample of 121 has been taken from the population.

Now,

Since, Standard deviation = √ Variance

                                        = √1,936

                                        = 44

Hence, The standard error = 44 / √121

                                         = 44 /11

                                         = 4

We know that;

The critical z factor for a confident interval of 0.95 = ± 1.96

Thus, The sample mean will provide a margin of error = 4 × 1.96

                                                                                    = 7.84

Learn more about the probability visit:

https://brainly.com/question/13604758

#SPJ5

2 3/4 divided by 4 1/8 in fraction form

Answers

Answer:

Step-by-step explanation:

2 3/4 ÷ 4 1/8

23/4×8/41

23×8/4×41

46/41

=1.122

So the answer is 1.122

The solution after divide 2 3/4 by 4 1/8 in fraction form is,

⇒ 2/3

We have to given that,

To divide 2 3/4 by 4 1/8.

Simplify it as,

2 3/4 ÷ 4 1/8

11/4 ÷ 33/8

11/4 x 8/33

(11 x 8) / (4x33)

2/3

Therefore, The solution after divide 2 3/4 by 4 1/8 in fraction form is,

⇒ 2/3

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ6

evaluate (distributive property)


9*6= ? sixes + 4 sixes

=30 + ?

=???

Answers

Answer:

Step-by-step explanation:

If A, B and C are integers, according to distributive property;

A(B+C) = AB+AB

A is distributed over B and C

Given

9×6 = 5 sixes +4 sixes

5 sixes = 5(6) =30

4 sixes = 4(6) =24

9×6 = 5(6)+4(6)

9×6 = 30+24

9×6 = 54

Hence ? =5,?? =24 ??? = 54

A 3 m - 3 B 3 m + -5 C m + 1 D 3 m + 13

Answers

Answer:

It's A

Step-by-step explanation:

the answer is A . answer is a lol

if owen has a collection of nickels and quarters worth $8.10. if the nickles were quarters and the quarters were nickels, the value would be 17.70 find the number of each coin?

2

Answers

System of equations
0.05x + 0.25y = 8.10
0.25x + 0.05y = 17.70
x = 67, y= 19
There are 67 nickels and 19 quarters


Cathy's food usually costs $212.90 a week. One week, it cost $198.98. How
much less money did she spend that week?

Answers

Answer:

$13.92

Step-by-step explanation:

I WILL GIVE BRAINLIEST
Tell whether the following equations represent a linear function.
1. 15x + 3y = 9
2. −x^2 + 9y = 21
3. 6x + 1/4y = 3

Answers

Answer:

Step-by-step explanation:

1. yes

2. no - it's a quadratic equation

3. yes

Answer:

Tell whether the following equations represent a linear function.

1. 15x + 3y = 9-- linear equation✓

2. −x^2 + 9y = 21-- quadratic equation

3. 6x + 1/4y = 3-- linear equation✓

Simplify each expression, Help plz

Answers

Answer:

I believe that the answer is the second one.

Step-by-step explanation:

a^4/b^5 then add two to each exponent
a^6/b^7

The negative exponents become positive when you switch them to the top or bottom.

Sasha spent $7.00 of the $20.00 in her wallet. Which decimal represents the fraction of the $20.00 Sasha spent?

Answers

Answer:

0.7

Step-by-step explanation:

Answer:

0.35

Step-by-step explanation:

Please give the correct answer and I will give a brainless

Answers

Answer:

It’s 40 I’m pretty sure because of the square. That’s how I was taught.

The first step to change a fraction to a percent is to ...
A. Multiply the numerator by the denominator
B. Change the fraction to a decimal
C. Move the decimal point to the right

Answers

Answer:

a

Step-by-step explanation:

i am smart

Answer:

B

To change a fraction into a percent you need to turn it into a decimal so you can then move the decimal place 2 times to the right. It looks something like this:

1/2 ------>  0.5 -----------> 50%

To change a percent into a decimal move the decimal place twice to the left. Like so:

85.5% ------> 0.855

Step-by-step explanation:

c) If the speed of the car is tripled, what will happen to the time taken?

Answers

Answer:

I think the time taken will be 1/3 of what the time is now since the time of the car is tripled.

Step-by-step explanation:

Answer:

divide time by 3 since time&speed are directly proprtional

Step-by-step explanation:

so there.

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