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

What is the distance, d, between the points (3,5/2) and (5/3,1)?

Enter your answer in the box. Enter your answer in simplest radical form.

Answers

The distance between the two points is of:

[tex]D = \frac{\sqrt{145}}{6}[/tex]

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

Distance between two points:

Two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

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

The points are [tex](3, \frac{5}{2})[/tex] and [tex](\frac{5}{3},1)[/tex].Thus, the distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]D = \sqrt{(\frac{5}{3} - 3)^2+(1 - \frac{5}{2})^2}[/tex]

[tex]D = \sqrt{(\frac{5}{3} - \frac{9}{3})^2 + (\frac{2}{2} - \frac{5}{2})^2}[/tex]

[tex]D = \sqrt{(-\frac{4}{3})^2 + (-\frac{3}{2})^2}[/tex]

[tex]D = \sqrt{\frac{16}{9} + \frac{9}{4}}[/tex]

[tex]D = \sqrt{\frac{64 + 81}{36}}[/tex]

[tex]D = \sqrt{\frac{145}{36}}[/tex]

[tex]D = \frac{\sqrt{145}}{6}[/tex]

A similar problem is given at https://brainly.com/question/14849255

Answer:

The answer is \/145/6 (The answer above)

Step-by-step explanation:

I took the Test.

A triangle has vertices on the coordinate grid at points A(2, 4), B(2, 9) and C(5, 6) . What is the length, in units, of AB ?

Answers

Answer:

5 units long

Step-by-step explanation:

If you graph it, it is a simple straight line 5 units long between A and B.

You could also use the distance formula if you had to do more advanced distance calculations.

The distance formula is d=√((x2-x1)²+(y2-y1)²)

?+7,785= $12,603

please help, I'm completely lost.

Answers

Answer:4818

Step-by-step explanation:7785-12603=4818

Answer: 4,818

Explanation: 12,603 - 7,785 = 4,818

what is 50 + 100 - 150 x 2

Answers

Answer:150

Step-by-step explanation:50 + 100=150 150 - 300=150

Answer:

0

Step-by-step explanation:

100+50=150

150-150=0

0×2=0

I don't get how to do this, can someone help?​

Answers

Google helps to so try that

Brian May, guitarist for Queen, does not know how to price his signature Antique Cherry Special that cost him £340 to make. He knows he wants 80% markup on cost. What price should Brian May ask for the guitar?

Answers

9514 1404 393

Answer:

  £612

Step-by-step explanation:

If Brian wants to add 80% of the cost to the cost, the selling price will be ...

  £340(100% +80%) = £340·1.80 = £612

Brian May should ask £612 for the guitar.

Sixteen people are going to share 200 crackers evenly. How many whole crackers does each person get?

Answers

Answer:

12

Step-by-step explanation:

Calculator

On Monday joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of 14.25. How much was each cup of coffee

Answers

Answer:

each cup cost 1.25 on Tuesday

A bucket is leaking. After 3 hours the bucket has leaked 6 gallons. How many gallons per hour is the bucket leaking?

Answers

Answer:

2 gallons

Step-by-step explanation:

divide 6 by 3 because that's the amount

Answer:

2 gallons

Step-by-step explanation:


Can someone please help, ty!!
(Will mark brainliest)

Answers

Answer:

I believe it is four hours

Step-by-step explanation:

Does anyone know the answer to the question ​

Answers

Answer:

The root of that equation are -1 -4 and 5

so the equation is (x -5) * (x +1) * (x +4)

(I may have that wrong and the answer MIGHT be:

(x -+5) * (x -1) * (x -4)

So, you have 2 answers and I KNOW 1 of those is correct.  :-)

Step-by-step explanation:

Given the following statement, what conclusion can be drawn using law of detachment?
If two angles are vertical, then they are congruent. Angles ABC and DBE are vertical.

Answers

Answer: Angles ABC and DBE are congruent

The density curve below represents the number of hours that Mrs. Schultz's students spent studying for
their most recent test.
y
1
2
3
4 5 6
Which of the following statements are true?

Answers

Answer:

the mean of the study times is greater than the median

Step-by-step explanation:

701, 752 rounded to 710,000

Answers

700,000 because 701,751 is rounded down to that because the ten thousands place 5 or more raise the score 4 or less let it rest

A national standard requires that public bridges over feet in length must be inspected and rated every 2 years. The rating scale ranges from 0​ (poorest rating) to 9​ (highest rating). A group of engineers used a probabilistic model to forecast the inspection ratings of all major bridges in a city. For the year​ 2020, the engineers forecast that ​% of all major bridges in that city will have ratings of 4 or below. Complete parts a and b. a. Use the forecast to find the probability that in a random sample of major bridges in the​ city, at least 3 will have an inspection rating of 4 or below in 2020. ​P(x​3) nothing ​(Round to five decimal places as​ needed.)

Answers

Answer:

The answer is below

Step-by-step explanation:

A national standard requires that public bridges over 20 feet in length must be inspected and rated every 2 years. The rating scale ranges from 0​ (poorest rating) to 9​ (highest rating). A group of engineers used a probabilistic model to forecast the inspection ratings of all major bridges in a city. For the year​ 2020, the engineers forecast that 4​%of all major bridges in that city will have ratings of 4 or below.

a. Use the forecast to find the probability that in a random sample of major bridges in the​ city, at least 3 will have an inspection rating of 4 or below in 2020.

Answer:

This problem is a probability binomial distribution and it can be solved using the formula:

[tex]P(X=x)=C(n,x)p^xq^{n-x}\\\\q=1-p,C(n,x)=\frac{n!}{x!(n-x)!}[/tex]

Hence the solution to the problem is given as:

P(x ≥ 3) = 1 - P(x < 3) = 1 - [ P(x=0) + P(x=1) + P(x = 2)]

Given that p = 4% = 0.04, q = 1 - p = 1 - 0.04 = 0.96, n = 10. Hence:

[tex]P(x=0)=C(10,0)*0.04^{0}*(0.96)^{10-0}=0.6648\\\\P(x=1)=C(10,1)*0.04^{1}*(0.96)^{10-1}=0.277\\\\P(x=2)=C(10,2)*0.04^{2}*(0.96)^{10-2}=0.0519\\\\P(x\geq 3)=1-[0.6648+0.277+0.0519]=0.0063[/tex]

What is the second step in identifying grouped mean?

Answers

Answer:

B

Step-by-step explanation:

Divide the sum obtained in preceding step by total number of frequencies.

Suppose we want to choose 6 letters, without replacement, from 12 distinct letters

Answers

I don’t understand your question

please help me XD i dont know how to answer this

Answers

Answer:

the first three are all functions

Step-by-step explanation:

A WAY easier way to know if it is a function is to see if there are two of the same x-intercept If there is, then it is NOT a function.

Find the measure of each indicated angle. (2x-1) and (3x-19)

Answers

The correct answer is:

X=32

Read the problem in the box below. Make a list to help you find the correct
answer.
Radio listeners were asked to call in and pick their
two favorite rodents. The listeners had 4 choices:
Woodchuck, Prairie dog, Beaver and Chipmunk.
Which of the following is the complete list of the
possible pairs of rodents?
A. WP, PW, WC, PB, PC, BP
0 0
B. WP, WB, WC, PB, PC, BW
C. WP WB, WC, PB, PC, BC
D. WP CB, WC, CP, PC, BC

Answers

Answer:

C. WP WB, WC, PB, PC, BC

Step-by-step explanation:

List the possible combinations. (With no duplicates)

WP, WB, WC

PB, PC

BC

Now check your options for the answer with the combinations you had.

That is your answer.

what integer represents a gain of $9

Answers

Positive 9 dollars because your gaining money which is positive.

choose a linear function for the line representing by the point slope equation y-5=3(x-2)

Answers

multiply 3x and -2 by 3 and add 5 to right side of equal sign to get y = -1

Answer:

y=3x-1

Step-by-step explanation:

To find the linear function you first need to put the equation into standard slope intercept form which is y=mx+b. m represents the slope and b represents where the line intercepts the y axis.

To figure it out you need to solve for y.

y-5=3(x-2)

Expand 3(x-2) to 3x-6.

y-5=3x-6

Isolate the y by adding 5 to both sides, giving you y=3x-1.

The slope is 3 and the Y intercept is -1.

What are the opposites of 5, −2.4, 2.25, and 8 12 ? Enter the answers in respective order, each separated by comma.

Answers

Answer:

-5, 2.4, -2.25, -8, -12

Answer:

-5, 2.4, -2.25, -8, -12

Step-by-step explanation:

To make an number the opposite of itself you either make it a positive or negative. For example the opposite of 3 is -3 and the opposite of -3 is 3.

There are six wires which need to be attached to a circuit board. A robotic device will attach the wires. The wires can be attached in any order, and the production manager wishes to determine which order would be fastest for the robot to use.

Required:
Use the multiplication rule of counting to determine the number of possible sequences of assembly that must be tested.

Answers

Answer:

There are 720 possible sequences of assembly that must be tested.

Step-by-step explanation:

We are given that;

No. of wires needed to be attached to a circuit board = 6

We want to find the number of possible sequences of the assembly that must be tested.

From multiplication rule of counting;

Number of possible sequences of the assembly = 6!

1st selection of wire = 6 possible choices

2nd selection of wire = 5 possible choices

3rd selection of wire = 4 possible choices

4th selection of wire = 3 possible choices

5th selection of wire = 2 possible choices

6h selection of wire = 1 possible choice

Thus,

number of possible sequences = 6 × 5 × 4 × 3 × 2 × 1 = 720

Thus, there are 720 possible sequences of assembly that must be tested.

PLEASE ANSWER I WILL MARK BRAINLEIST


The leg of a right triangle is 2 units and the hypotenuse is 5 units. What is the length, in units, of the other leg of the triangle?

Group of answer choices

3

Square root of 21

Square root of 29

7

Answers

Answer:

It is the Square root of 21

Step-by-step explanation:

Answer is square root of 21

How: a square+b square=C square
C=Hypotenuse
A=leg
5^5-2^2 =21
Then it’s the square root of 21

Can someone help me with the concept of this? We have a worksheet with like 45 questions and I have no clue how to do it. We have to say if it’s similar or not and then, how we know theyre similar, and a similarity statement

Answers

Answer:

So since QRS is ~ another triangle, and they are not exactly similar, I assume that the problem wants you to compare QRS with another angle. QRS is closely congruent to UVW (assuming that you are comparing triangles not angles).

Step-by-step explanation:

All triangles have an angle total of 180 degrees. If you add those two angles together, they have the same sum, and the third anglecan be found by subtracting the total from 180. For example, 95+36 = 131. 180-131=49, which is the third angle for triangle QRS. You can do the same for UVW.

It is important to compare them in order. For instance, Triangle QRS would not be congruent to WVU since they are not in the same order. To compare them in the correct order, compare the angles. Q is about equal to U. R is about equal to V. S is about equal to W since they both have missing angles. Therefore, you can state that triangle QRS is about equal to UVW.

9514 1404 393

Answer:

  make use of the ways similarity can be shown

Step-by-step explanation:

Similarity of triangles can be shown two (2) ways:

corresponding angles are congruentcorresponding sides are proportional

__

In a worksheet like this, you may see several kinds of problems. The keys will be ...

the parts that you claim are proportional or congruent must be correspondingthe sum of angles in a triangle is 180°.

__

When two angles are given, as here, at least one of them in one triangle must match one in the other triangle.

Here, neither of the measures 35 and 96 matches either of the measures 36 and 95. These triangles cannot be similar.

__

Further discussion on working these problems

If one of the numbers does match, then you need to find the third angle to see if it matches the remaining angle. If two numbers match, the triangles are similar by AA.

Even if you find all three angles match, you need to carefully check any similarity statement to make sure it lists the matching angles in the same order.

For example, suppose both sets of angles in these triangles were 94 and 37. ∆QRS lists these in the order 94° angle, 37° angle. Then the similarity statement would have to list the other triangle's vertices in the same order: ∆UVW. A typical problem might claim similarity to ∆VUW, just to see if you're paying attention to detail. That claim would be false.

__

For comparing side lengths, it can work well to compare them smallest-to-largest, or in some other order you find easy to remember.

Solve 6.74x – 1.026 = 0.138. Round to the nearest thousandth. Show your work.

Answers

Answer:

x=0.173

Step-by-step explanation:

First thing I would do is add 1.026 to both sides. This would get you a equation that looked like, 6.74 x=1.164. Then just divide 1.164 and 6.74 by 6.74. This would get you x=0.1727003. Then because you have to round to the nearest thousand you have to round the 2 up because 7 is more then 5. Keep the first two number the same. The final answer is x=0.173.

If 125% of x is 225, what is the value of x?

Answers

Answer: 180

Step-by-step explanation: Try to find what 1% is, so do: 225/125, then you have 1%, now multiply that by 100 to find x. Your answer is 180.

how do you simplify decimals??

ex) simplify.
7.21 + 4.2

Answers

Answer:

7.21+4.2

for 4.2 we can write it as 4.20 because 0 has no value after decimal point

then 7.21+4.20

by adding both we get 11.41

hope it helps you mate

please mark me as brainliast

Answer:

11.41

Step-by-step explanation:

7.21

+4.2

= 11.41

A system of equations is shown.
- x + 3y = 9
x = 1 - 2y
What is the solution of the system?
A. (-19, 10)

B. (-6, 7/10)

C. (-9/2, 9/2)

D. (-3,2)

Answers

Answer:

c

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

Step-by-step explanation:

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

Answer:

c

Step-by-step explanation:

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