Evaluate $\frac{33}{33\frac 13}$. Express your answer as a fraction in simplest form. (Thus the numerator and denominator should be integers whose greatest common divisor is $1$.)

Answers

Answer 1

Answer:

[tex]\dfrac{99}{100}[/tex]

Step-by-step explanation:

We need to evaluate [tex]\dfrac{33}{33\frac 13}[/tex]. Here, 33 is numerator and [tex]33\dfrac{1}{3}[/tex].

Firstly, we will solve the denominator.

[tex]33\dfrac{1}{3}=\dfrac{33\times 3+1}{3}\\\\=\dfrac{100}{3}[/tex]

The given expression becomes,

[tex]\dfrac{33}{33\frac 13}=\dfrac{33}{\dfrac{100}{3}}\\\\=\dfrac{33\times 3}{100}\\\\=\dfrac{99}{100}[/tex]

Hence, the required answer is 99/100.


Related Questions

Magic lines
Can you put the numbers 2 to 8 in the circles so that every line
adds up to 15? You can use each number only once.

Answers

Answer:

Please see attached image

Step-by-step explanation:

The numbers on the upper row should be:  7   6   2

the number in the central disk should be    5

the bottom row should read  : 8   4   3

The addition on top row: 7 + 6 + 2 = 15

the addition on bottom row:  8 + 4 + 3 = 15

the addition on the central vertical column: 6 + 5 + 4 = 15

diagonal going down:    7 + 5 + 3 = 15

diagonal going up:   8 + 5 + 2 = 15

pls I need help understanding​

Answers

Answer:

$206.9

Step-by-step explanation:

I need an answer and a explanation so I can do the rest of them

Answers

Answer:

N=85 nickels

Q=18 quarters

9514 1404 393

Answer:

  equations: q+n = 103; 0.05n +0.25q = 8.75

  solution: q=18; n=85

Step-by-step explanation:

Write one equation for the number of coins:

  q+n=103.

Write another equation for the value of the coins:

  0.05n +0.25q = 8.75.

It is often convenient to substitute for the lower value, here, using n = 103-q. This results in an equation for q with positive coefficients.

  0.05(103 -q) +0.25q = 8.75

  5.15 +0.20q = 8.75

  0.20q = 3.60

  q = 18

  n = 103 -18

  n = 85

Wes has 18 quarters and 85 nickels.

BRAINLIEST WILL BE AWARDED!!!!!!!!!!!!!!!!!

Answers

Answer:

1.     = 5

2.     = -7

3.   = -4

1/4 to the 6th power

Answers

Answer: 0.00024414062

Step-by-step explanation:

The answer of 1/4 to the 6th power is 0.0002 I think

Evaluate the expression.
10.56÷3−1.9=

Answers

1.62
Pls mark brainliest

Which number is rational, an integer, and a real number?
A. 5/7
B. There is no such number.
C. -5
D. 1.5

Answers

A or B I think. Hope this helps!

Answer:

-5

Step-by-step explanation:

who helps me do this

Answers

Answer:

1. True

2. false.

3. true

4. false

5. true

determina la medida de cada ángulo identificado con las expresiones algebraicas, si se conoce que l y m son líneas paralelas (2x + 27) (3x + 6)​

Answers

Answer:

I don't know what you're saying but the answer is 6x^2+93x+162

Step-by-step explanation:

The mean life of a television set is 138 months with a variance of 324. If a sample of 83 televisions is randomly selected, what is the probability that the sample mean would be less than 143.4 months

Answers

Answer: 0.9968

Step-by-step explanation:

Let [tex]\overline{X}[/tex] be the sample mean life of television.

Given: [tex]\mu=138,\ \ \ \sigma^2=324\Rightarrow\ \sigma=\sqrt{324}=18,\ \ \ , n=83[/tex]

The probability that the sample mean would be less than 143.4 months will be :

[tex]P(\overline{X}<143.4)=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}<\dfrac{143.4-138}{\dfrac{18}{\sqrt{83}}})\\\\=P(Z<2.733)=0.9969\ \ \ [\text{By p-value table}][/tex]

hence, the required probability = 0.9968

To determine whether or not they have a certain desease, 304 people are to have their blood tested. However, rather than testing each individual separately, it has been decided first to group the people in groups of 19. The blood samples of the 19 people in each group will be pooled and analyzed together. If the test is negative, one test will suffice for the 19 people (we are assuming that the pooled test will be positive if and only if at least one person in the pool has the desease); whereas, if the test is positive each of the 19 people will also be individually tested and, in all, 20 tests will be made on this group. Assume the probability that a person has the desease is 0.04 for all people, independently of each other, and compute the expected number of tests necessary for the entire group of 304 people.

Answers

Answer:

The expected number of tests necessary for the entire group of 304 people is 180.0325

Step-by-step explanation:

Probability of person being positive = p = 0.04

Probability of person being negative = q = 1-0.04=0.96

Number of people in each group = 19

We will use binomial over here

Probability of no test positive :

[tex]P(x=0) = ^{19}C_0 (0.04)^0 (0.96)^{19} =0.460419201958[/tex]

P( at least one tests positive) = 1-P( no one tests positive)= 1-0.460419201958= 0.539580798042

Expected number of tests for each group = 1(0.460419201958)+20(0.539580798042) = 11.2520351628

Number of groups =[tex]\frac{\text{Total population}}{\text{no. of people in each group}}=\frac{304}{19}=16[/tex]

Expected number of tests necessary for the entire group of 304 people:

=[tex]\text{Expected number of tests for each group} \times \text{No. of groups}[/tex]

=[tex]11.2520351628 \times 16[/tex]

=180.0325

Hence The expected number of tests necessary for the entire group of 304 people is 180.0325

Find the area of the figure.

Answers

Answer:

I think its 38 however i could be wrong

Step-by-step explanation:

Self explanatory i just added them

**Put as brainliest if you wish**

Answer:

139yds

Step-by-step explanation:

area of a rectangle is length time width

9(11)=99

area of a triangle is length times width divided by 2

8(10) divided by 2=40

99+40=139

Factor the expression x2-5x+6

Answers

Answer:

x2 + 5 x − 6  using the AC method.  ( x − 1 ) ( x + 6 )

If it is wrong I am sorry!

Write an equation for the line that is parallel to y = 3/5x - 8 and goes through
the point (-15,-23)

Answers

Answer:

y=3/5x-14

Step-by-step explanation:

parallel lines have the same slope, so m=3/5

y=mx+b

-23=3/5(-15)+b

-23=-9+b

-14=b

y=mx+b

y=3/5x-14

Need Help Asap) Graph the piecewise function. ( Look at the picture). Will Mark Brainliest.​

Answers

Answer:

This should help.

Step-by-step explanation:

10 points!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

108cm²

Step-by-step explanation:

3x+x=4x

24÷4x=6

x=6

6×3=18

18×6=108

what is the area of this figure

Answers

Answer:

a = 83 inches

Step-by-step explanation:

5 * 11 = 55

7 * 4 = 28

55 + 28 = 83

A=83 hope this helps

Solve the inequality statement:

4r-5<5r+7

Answers

Answer:

r<-12

Step-by-step explanation:

hope this helps........

Answer:b

Step-by-step explanation:

22+33 using GCF and the distributive property.​

Answers

Factors:

22 : 1 2 11 22
33 : 1 3 11 33

Both have the GCF of 11. By removing 11 from both numbers you end up with:

22 = 2 * 11
33 = 3 * 11

Now replace the values on the right of the equals sign into the original equation:

(2 * 11) + ( 3 * 11)

The distributive property allows us to remove the common values and rewrite as:

11(2 + 3)

This gives:

11(5)

55

Refer to Table 9.2. (Data are expressed in billions of dollars).

Full Employment Income (Output) Consumers Desire to Spend Investors Desire to Spend Total Private Spending Total Saving
$500 $300 $250 $___ $___
600 375 250 $___ $___
700 450 250 $___ $___
800 525 250 $___ $___

If the full-employment level of income (YF) in Table 9.2 is $800 billion

A. There is a recessionary gap of $25 billion.

B. The economy is in equilibrium.

C. There is an inflationary gap of $250 billion.

D. There is a recessionary gap of $275 billion.

Answers

Answer:

A)There is a recessionary gap of $25 billion.

Step-by-step explanation:

Full Employment   Consumers   Investors    Total Private    Total Saving

Income (Output)     Desire to      Desire to        Spending

                               Spend             Spend

$500                       $300                  $250           $___            $___

600                           375                   250             $___            $___

700                           450                   250             $___            $___

800                           525                   250            $___             $___

Total Private spending = Consumers desire to spend + Investors desire to spend

Total savings = Income - Total private spending

Using these formulas :

Solution Table

Full Employment   Consumers   Investors    Total Private    Total Saving

Income (Output)     Desire to      Desire to        Spending

                               Spend             Spend

$500                       $300                  $250           550            -50

600                           375                   250             625            -25

700                           450                   250             700              0

800                           525                   250            775              25

If the full-employment level of income (YF) in Table 9.2 is $800 billion So, There is a recessionary gap of $25 billion. Since total saving is $25

So, Option A is true .

What number is 88%of 300?

Answers

Answer:

29.33

Step-by-step explanation:

88 is what percent of 300 = 29.33.

Answer:

264

Step-by-step explanation:

im not sure but i had this same thing on a quiz and i got it correct

If the cost of college tuition in 2010 was $6016 and in 2014 was $9139, then the average rate of change in tuition during this time period was $781/year. Do you agree or disagree​

Answers

If the cost of college tuition in 2010 was $6016 and in 2014 was $9139, then the average rate of change in tuition during this time period was $781/year. Do you agree or disagree​?

To find the average rate of change during this time period, you need to divide the amount, in dollars, of the difference between the years and divide it by the number of years the time period was.

In 2010, the cost of the tuition was $6,016. In 2014, the cost of the tuition was $9,139. First, you need to subtract to find the difference in tuition.

[tex]9,139-6,016=3,123[/tex]

The increase in tuition for this time period is $3,123. Now, you need to find the number of years it took to increase by $3,123.

[tex]2010 \rightarrow2014 = 4 \text{ years}[/tex]

That means it took four years to increase by $3,123. Lastly, you need to find the average rate of change. You can find this by dividing the amount of dollars(the tuition increased by) by the number of years it took to increase.

[tex]\frac{\text{amount of dollars}}{\text{number of years}} = \frac{\$3,123}{4} = \$780.75[/tex]

That means the average rate of change during this time period was $780.75. Rounded to the nearest whole number, it would be $781. Therefore, you can agree that the average rate of change during this time was $781/year.

Answer:

I Agree

Step-by-step explanation:

That seems like a fair advantage for people planning to go to college!

In the diagram, quadrilateral LMNO is a parallelogram. What is the length of ?

A.
6

B.
5.66

C.
5.39

D.
2.24

Answers

Answer:

NP = 5.39

Step-by-step explanation:

This is the answer because opposite diagonals have equal lengths.

In quadrilateral LMNO which is a parallelogram, diagonals bisect each other, hence NP = LP = 5.39

What is a polygon?

A polygon can be defined as a two-dimensional closed shape with straight sides and no curved side. Types of polygons are triangle, quadrilateral, pentagon, hexagon, etc.

A parallelogram is a quadrilateral (four sides and four angles) in which opposite sides are equal and parallel. Opposite diagonals bisect each other.

In quadrilateral LMNO:

NP = LP = 5.39 (diagonals bisect each other)

In quadrilateral LMNO which is a parallelogram, diagonals bisect each other, hence NP = LP = 5.39

Find out more on polygon at: https://brainly.com/question/1592456

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which verb would make this statement an example of personification?

the cell phone


a. shook
b. rang
c. danced
d. lit up​

Answers

the correct answer would be (C)

(a) It takes 37 pounds of seed to completely plant a 6-acre field.
How many acres can be planted per pound of seed?

Can y’all answer both

Answers

Answer:

This answer is 67 because I think its the answer and I'm really just trying to get points on early sorry but you are

7k + 5 – 2 = 7k + 3 0

Anyone sorry for so many i just need help

Answers

Answer:

K=27

Step-by-step explanation:

the answer is 27

Students surveyed boys and girls separately

Answers

wait...what?

im lost. lol

Answer:

Step-by-step explanation:

Express as a trinomial.
(3x + 3)(3x + 8)
PLEASE HELPPP:)

Answers

Answer:

9x^2+33x+24

Step-by-step explanation:

The factors (3x + 3)(3x + 8) can be expressed as a trinomial 9x² + 33x + 24.

What is the expression?

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

To express (3x + 3)(3x + 8) as a trinomial, we can use the distributive property and FOIL (First, Outer, Inner, Last) method.

First, we multiply the first term of each binomial (3x) with the first term of the other binomial (3x), which gives us (3x)(3x) = 9x².

Next, we multiply the first term of one binomial (3x) with the second term of the other binomial (8), which gives us (3x)(8) = 24x.

Then we multiply the second term of one binomial (3) with the first term of the other binomial (3x) , which gives us (3)(3x) = 9x

Finally, we multiply the second term of each binomial (3) with the second term of the other binomial (8) , which gives us (3)(8) = 24

Now we add all the products to get the trinomial

9x² + 24x + 9x + 24 = 9x² + 33x + 24

Therefore, (3x + 3)(3x + 8) can be expressed as a trinomial 9x² + 33x + 24.

Learn more about Expressions here :

brainly.com/question/21751419

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12/3×11/3 why the exponents can not be added

Answers

Answer:

The bases are not the same.

Step-by-step explanation:

12/3 is not equal to 11/3

Therefore we cannot add the exponents together.

Hope I helped :)

Answer:

(see below)

Step-by-step explanation:

12³ × 11³ is NOT equivalent to (12 × 11)[tex]^{3(3)}[/tex] because:

1) 12³ and 11³ don't have the same bases. They have to both have a base of 11 or of 12.

2) 12³ × 11³ and (12 × 11)[tex]^{3(3)}[/tex] are different because (12 × 11)[tex]^{3(3)}[/tex] is a whole different number altogether. Here's why:

12³ × 11³ = 1728 × 1331

              = 2,299,968

(12 × 11)[tex]^{3(3)}[/tex] = [tex](132)^{9}[/tex]

                  = 1.216649217 × [tex]10^{19}[/tex]

However, (12 × 11)³ would be equivalent to 12³ × 11³.

(12 × 11)³ = (132)³

               = 2,299,968

Eddie's recipe for bagels makes 18 bagels per batch. Eddie makes 2/3 batch of bagels. How many bagels does Eddie make

Answers

Answer:

6

Step-by-step explanation:

18/3=6

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In her article "Tweens in the Kitchen: Teaching Your Big Kid to Cook," Jolne Bouchon suggests parents show tweens how to cook because it teaches them how to make healthy food choices, eat on a budget, and develop independence. What is most likely the author's purpose for writing this text? A. To persuade parents that tweens should learn to cook B. To persuade the reader to purchase a cookbook for tweens C. To entertain readers with a personal story about a cooking adventure D. To inform readers about the advantages of healthy eating and exercise 50 is 6.25% of what number? Identify the organelles in the cell to the right choose a linear function for the line representing by the point slope equation y-5=3(x-2) What happen when you combine two or more words? I WILL GIVE YOU BRAINLIEST HELP ME!!! Write the equation of the line that passes through (1, -4) and (-4, 5). Put your answer in fully reduced point slope form unless it is a vertical or horizontal line. What was an economic cause of the French Revolution?A.a lack of representation of the third estate in the Estates-GeneralB. increased influence of French thinkers such as Rousseau and LockeC. the governments decision to raise taxes to pay its huge debtsD. the rise of Napoleon and his rallying of the citizens against the monarch The teacher plans to mark the books this evening.Subject: __ (blank 1)Verb: __ (blank 2) A holding is the court's complete answer to an issue that is critical to deciding the case and thus gives guidance to the meaning of the case as a precedent for future cases. true or false Mr. Allen has 2 dogs, Spike and Fido. He takes both of them outside at 6:00 a.m. He takes Spike outside every 3 hours. He takes Fido outside every 5 hours. When is the next time Mr. Allen will take both dogs outside at the same time? What is .85 as a percent what did the elephant mean by "i can see inside your head" in toomai of the elephants What is federalism?A)a form of government with elected representativesB)a division of power between the national and state governmentsC)a sharing of power between the Executive, Legislative, and Judicial systemsD)a form of government in which elected officials make all economic decision Which sentences contain vague pronouns? Check all that apply. A. Bernardo reads both fiction and nonfiction, and he likes it a lot. B. After the play, Henrique told Isadora that her solo was excellent. C. Hiroto prepared so well for the debate that he crushed the competition. D. Vivian met Laura at the coffee shop where she works after school. E. When Mariana and Rahul studied with Lisa and Nico, it helped them. Find the value of x in the triangle shown below.Choose 1 answer:D) x=8 Jessica had 95 dollars to spend on 6 movies. After buying them she had 17 dollars. How much did each movie cost ?show work Write the word sentence as an equation. Then solve.A number x divided by 9 is 16.Equation = ?Solution x = ? At the circle justice meeting, who's voice madeCole explode? Do you think Cole's thought's andresentment toward his father will change whilehe's on the island? Why or Why not? Open market operations refer to which action by a central bank?A. Regulating the amount of money banks hold in reserveO B. Changing the price banks pay to borrow moneyO C. Buying and selling treasury securitiesO D. Adjusting interest rates on stock markets