simplify (2/3 of 21/4)

Answers

Answer 1

Answer: 3 1/2

Step-by-step explanation:

"Of" is the same as multiplication so,

2/3 × 21/4=?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

2 × 2/13 × 4 = 42/12

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 42 and 12 using

GCF(4/2 , 1/2) = 6

4/2 ÷ 6 1/2 ÷ 6 = 7/2

The fraction

7/2

is the same as

7÷2

Convert to a mixed number using

long division for 7 ÷ 2 = 3R1, so

7/2 = 3 1/2

Therefore:

2/3 of 21/4 = 3 1/2

Hopefully, I Helped


Related Questions

write the least 6 digit number which is exactly divisible by 83​

Answers

So, 100015 is the least 6-digit number exactly divisible by 83.

Answer:

100015

Step-by-step explanation:

it to a little to find it but it is true. I started at 100000 and went up by 1 until I found my answer.

a basket contains 3 green 4 yellow 5 blue and 6 red tickets one of which is randomly selected probability of drawing a green or a red ticket

Answers

Answer: 21

Step-by-step explanation:

12. The cost of carpeting I square meter of a floor is Rs.500. find the cost of carpeting 12 square meters of floor​

Answers

Answer: 6000

Step-by-step explanation:

1 square meter = Rs.500

500x12

= 6000

12 square meters = Rs.6000

Pick a bin from each row. Subtract to find how many more bottles are in the bin from the top row than the bin from the bottom row
Bin A 15 bin B 12 bin C 13
Bin D 9 binE 7 bin F 8
How do you solve this problem

Answers

Answer:

Step-by-step explanation:

The number of Bins in the first row is 16 higher than in the second row.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given first and second rows are:-

Bin A 15 bin B 12 bin C 13

Bin D 9 binE 7 bin F 8

The total number of the bins first row = Bin A + bin B + bin C

The total number of the bins first row = 15 + 12 + 13 = 40

The total number of the bins in the second row = Bin D + Bin E + Bin F

The total number of bins in the second row = 9 + 7 + 8 = 24

Therefore, the number of Bins in the first row is 16 higher than in the second row.

To know more about an expression follow

https://brainly.com/question/878985

#SPJ2

Find the area of the shaded region.

Answers

I’ve attached my work…
Hope it helps!

what is f(x) = x2 + 4x in standard form

Answers

Answer:

(x) =x2+4x

x=6x+x

=6x

Step-by-step explanation:

right answer is 6x

simplify y + 5 - y - 6​

Answers

Answer:

-1

Step-by-step explanation:

Subtract the numbers: y+5-y-6

Combine like terms: y-1-y

= -1

42.3952 to the nearest thousandths

Answers

Answer:

42.395

Step-by-step explanation:

The thousandths place is the 3 number to the ride of the decimal. We will need to look at the 4th decimal place to round. Remember these rules when rounding:

5 and above round up4 and below round down

Now that we know what to do, we can round accordingly.

42.3952 → 42.395

Best of Luck!

What is the volume of a cone with a height of 9.5 inches and a radius of 8 inches? Cone V = 1 3 Bh 1. Rewrite the formula for the base area: V = 1 3 πr2h
2. Substitute the values into the formula: V = 1 3 π(82)(9.5)
3.Evaluate the power:V = 1 3 π(64)(9.5)
4.Simplify using multiplication: V = 1 3 π(608)
The cone has a volume of?

Answers

Answer:

608/3

Step-by-step explanation:

I got it correct

Find the value of x.

Answers

X+58+43 =90

X= - 11

Kdjdjsjwnwjdhnsjjdd

Answer: -11

Step-by-step explanation: one of the angle is 90 another one is 43, and all 3 will be 180; so 90+43+?=180,

133+x+58=180,

191+x=180,

-191 to both side,

x=-11

how do i express x^2-3x into the form of (x-m)^2+n. I will give brainliest to correct answer

Answers

Step-by-step explanation:

let's simply do the multiplications and then compare with the original.

(x-m)² + n

right ?

or is it

[tex] {(x - m)}^{2 + n} [/tex]

let's go for the first.

x² - 2mx + m² + n = x² - 3x

-2mx + m² + n = -3x

fun there we see two things :

-2m = -3

m = 3/2

and

m² + n = 0

(3/2)² = -n

9/4 = -n

n = -9/4

so our transformed expression looks like

(x - 3/2)² - 9/4

Mabel needs to order 8,742 binder clips for an upcoming conference. If the binder clips come in boxes of 47, how many boxes should Mabel order?

Answers

186 boxes. One hundred

HURRY QUICK PLEASE HELP!!
Which expression is equivalent to 10V5?
A.V500
B. V105
C. V50
D. V15

Answers

Answer:

A

Step-by-step explanation:

Answer:

Answer: A. 500

Step-by-step explanation:

[tex]10 \sqrt{5} \\ = (\sqrt{ {10}^{2} } ) \times ( \sqrt{5} ) \\ = \sqrt{100} \times \sqrt{5} \\ = \sqrt{500} [/tex]

true or false An insurance broker is the best person to advise you on the type of insurance you need.

Answers

Answer:

that's sooooooo trued to me

Solve the inequality for x 17>5-4/3 x

Answers

Answer:

[tex]17 > 5 - \frac{4}{3} x \\ 17 - 5 > - \frac{4}{3} x \\ 12 > - \frac{4}{3}x \\ \frac{3 \times 12}{4} > - x \\ 9 > - x \\ multily \: by - 1then \: > \: become \: < \\ - 9 < x \\ thank \: you[/tex]

|x-2| > square root (x)

Answers

Answer:

x = 0

Step-by-step explanation:

I. When x cant be negative value and

II. Find possible positive value

       If x = 0

           |0-2| > [tex]\sqrt{0}[/tex]

           |-2| > 0

           2 > 0 true

       

      If x = 1

           |1 - 2| > [tex]\sqrt{1}[/tex]

           | -1 | > 1

          1 > 1 false

More question or something to discuss, leave comment below

Answer:

Step-by-step explanation:

x ≥ 0 (because the square root)

[tex]|x-2| > \sqrt{x}\\\\1)\ if \ x-2 >0 \ (\ or\ x > 2):\\|x-2|=x-2\\\\x-2 > \sqrt(x) \Longrightarrow\ (x-2)^2 > x\\\Longrightarrow\ x^2-4x+4 > x\\\Longrightarrow\ x^2-5x+4 > 0\\\Longrightarrow\ (x-1)(x-4) > 0\\\Longrightarrow\ x<1\ or\ x>4 \Longrightarrow\ x >4 \ (since\ x>2)\\\\[/tex]

[tex]2)\ if\ x-2 <0 \ (\ or\ x < 2):\\|x-2|=-(x-2)=-x+2\\\\-x+2 > \sqrt(x) \Longrightarrow\ (-x+2)^2 > x\\\Longrightarrow\ x^2-4x+4 > x\\\Longrightarrow\ x^2-5x+4 > 0\\\Longrightarrow\ (x-1)(x-4) > 0\\\Longrightarrow\ x<1\ or\ x>4 \Longrightarrow\ x\geq 0\ and \ x\leq 1 \\[/tex]

Sol= [0, 1] ∪ ]4,+∞) ***** corrected

Find the angle 0,in radians, in the given right triangle. The length of the side adjacent to 0 is 17
and the length of the side opposite is 11.

Answers

9514 1404 393

Answer:

  0.574305 radians

Step-by-step explanation:

The tangent ratio is defined as ...

  Tan = Opposite/Adjacent

  tan(θ) = 11/17

  θ = arctan(11/17) ≈ 0.574305 radians

_____

Make sure your calculator is in Radians mode.

Which expression is equivalent to (2 + 6i)(5 + 2i)?
A 22 + 34i
B -2 - 34i
C -2 + 34i
D -2 + 26i

Answers

Answer:

c. -2 + 34i

Step-by-step explanation:

(2 + 6i)(5 + 2i)

c. -2 + 34i

A tower is 320 feet tall. A model is being built for an architecture project and the model is 8 inches tall. Write the
information that completes the scale for the model. Complete them so the 320 foot height of the tower and the 8 inch height
of the model are still valid for every case.
1 inch : _______ feet

Answers

Answer:

640 feet

Step-by-step explanation:

8 = 320  

16 = 640

Answer:

640

Step-by-step explanation:

8:320

16: ?

8*2=16

320*2=640

5. A 12 sided diɛ is rolled. The set of equally
likely entene is 21 - 123 Find the probability
of rolling a number Less than 19

Answers

Answer:

Step-by-step explanation:

I just wanted to ask how to do the inverse operation?

Answers

Answer:

Inverse operations are operations that are opposite or “undo” each other. For example, addition undoes subtraction and division undoes multiplication.

Step-by-step explanation:

What is the area of a circle whose radius is r?
What is the area of a circle whose diameter is 2x cm?


Answers

Answer:

Area of circle = πr^2

Area of circle when diameter is 2x; r=x

=πx^2

Complete the square: x^2-8x+21=6

Please show work

Answers

Answer:

x=5 and 3

Step-by-step explanation:

x^2-8x+21=6

x^2-8x+21+16=6+16

(x-4)^2=1

(x-4)=±1, x=5 and 3

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

I don’t know how to divide the fraction

Answers

Step-by-step explanation:

1 7/8 ÷ 3/4 = 15/8 ÷ 3/4

= 15/8 × 4/3

= 45/24 × 32/24

= 1440/24

= 60

Answer:

-2.5 or 5/2

Step-by-step explanation:

-1 ⅞ ÷¾

=-15/8×4/3

=-60/24= -5/2 or -2.5

At Jeremy's school, the final grade for his Human Biology course is weighted as follows:

Tests: 50%
Quizzes: 35%
Homework: 15%
Jeremy has an average of 94% on his tests, 78% on his quizzes, and 62% on his homework.

What is Jeremy's weighted average?


83.6%


78%


74.8%


75.6%

Answers

Answer:

78%

Step-by-step explanation:

.94 + .78 + .62 = 2.34

2.34/3 = .78

.78 = 78%

Jeremy's weighted average is 83.6%

The grades and the weights of the grades can be represented using the following table

Subject     Final Grade   Average

Test              50%              94%

Quiz             35%               78%

Homework   15%               62%

The weighted average (w) is the sum of the product of the final grades and the average.

So, we have:

[tex]w = \sum Final\ Grade \times Avearge[/tex]

This gives

[tex]w = 50\% \times 94\% + 35\% \times 78\% + 15\% \times 62\%[/tex]

Evaluate the products

[tex]w = 47\% + 27.3\% + 9.3\%[/tex]

Evaluate the sums

[tex]w = 83.6\%[/tex]

Hence, the weighted average is 83.6%

Read more about weighted average at:

https://brainly.com/question/11408596

Perform the indicated operation.
(7x + 2x2 - 6x - 4) - (2x+3x2 - 3x + 11)
(7x + 2x2 - 5x - 4) - (2x + 3x² 3x + 11) =
(Simplify your answer. Do not factor.)

Answers

Step-by-step explanation:

1st.

(7x+2×2-6x-4) - (2x+3×2-3x+11)

(7x+4-6x-4)-(2x+6-3x+11)

collect like terms

(7x-6x-4+4)-(2x-3x+11+6)

(x+0)-(-x+17)

multiply - by the bracket

x+0+x-17

collect like terms

x+x+0-17

2x-17=0

2x=17

divide both sides by the coefficient of x

2x/2=17/2

x=17/2

Cuvantul vesel e un a) adjectiv b) substantiv ??

Answers

Cuvantul vesel e un

a) adjectiv

b) substantiv ??

Answer:-[tex] \bold \red{adjectiv}[/tex]

[tex]\huge\mathbb\color{black}{ANSWER}[/tex]

A.) Adjective

━═━═━═━═━═━═━═━━═━═━━═━═━━═━═━═━

Please help quickly as possible Thank you!​

Answers

Answer:

A)   [tex]\frac{3}{8}[/tex], [tex]\frac{2}{5}[/tex], [tex]\frac{1}{2}[/tex], [tex]\frac{7}{10}[/tex]

B) 2.53, 32.51, 514.37

Step-by-step explanation:

A)   Multiply all of them to equal 80

1/2 = 40/80  (1 x 40)  (2 x 40)

2/5 = 32/80  (2 x 16)  (5 x 16)

3/8 = 30/80  (3 x 10)   (8 x 10)

7/10 = 56/80  (7 x 8)  (10 x 8)

B) Decimals are easy  1.10 < 1.20 since one is still greater than the other.

if p(x) = 6x³ + 5x² + 7x - 5, find the coefficient of x³​

Answers

Answer:

6x

Step-by-step explanation:

because in front of x^3 there is 6x and also the qn has asked to find the coefficient of x^3

Answer:

It is 6

Step-by-step explanation:

take an example:

[tex]a {x}^{3} + {bx}^{2} + cx + d[/tex]

a, b, and c are coefficients of x³, x², and x respectively.

d is a constant.

Given the functions f(x)=3x−2and h(x)=x−10. Find (g⋅h)(x)and simplify completely.

Answers

Answer:

(g.h) (x) = 3x² -32x+20

Step-by-step explanation:

g(x)=3x−2

h(x)=x−10

(g . h)(x) = (3x-2) (x-10)

= 3x²-30x-2x+20

= 3x² -32x+20

= 3x² - 32x + 20

Other Questions
how to study effectively write a speech about 100 to 150 words Comment benefits of Tourism in 2010 based on households, government and business infrastructure Timothy always liked playing catch with his dad. Whenever he had the chance to pick up a small object, he simultaneously threw a random object at his dad to catch him of guard. His objective was to have his dad drop the item. One day, Timothy threw two objects at is dad. One object was a tennis ball and the other was a golf ball. His dad ended up dropping both of the objects on the floor but was able to catch them after the drop because they both bounced back into his fathers hands. He wondered how this was possible???? This led to Timothy asking a science question that he would like to test by doing an experiment. What science question do you think Timothy asked to jumpstart an investigation?THIS IS SCIENCE BTW BUT PLEASE HELP I WILL GIVE BRAINLIEST TO THE MOST ACCURATE AMSWER 2. The cost of a badger is b pence. A raccoon is 5 pence more expensive than a badger and a beaver three times as expensive as a badger. a) What is the cost of a raccoon?b) What is the cost of the beaver?c) What is the total cost of a raccoon and 8 beavers?(plz write down a step-by-step explanation) The formula for determining the pressure, p, exerted on an object at a depth, h, below the surface of a liquid is p = s + dgh, where s is the atmospheric pressure, d is the density of the liquid, and g is the acceleration due to gravity.(Pls Explain the Answer in simple terms) (-87-1234) + (37-29) 4 TEThe temperature was 4 degrees at middayAtte1MBy evening, the temperature was - 6 degrees.Select all of the calculations below that show how to figure out thetemperature change.se-0 4-64+ (-6)(-6) - 4C (-6) + 4+6+ (-4) what is electron configuration? What is the function of the CPU?. Explain in THREE OR MORE SENTENCES!! BRAINLIEST FOR BEST ANSWER AND COMPLETING THE PROMPT CORRECTLY (THREE SENTENCES)!!! Guided PracticeFind the balance in the account.$500 principal earning 4% compounded quarterly, after 6 years.A.$632.66B.$530.76C.$634.87 A map of Roman Catholics in South America. Countries labeled clockwise are Venezuela, Brazil, Paraguay, Argentina, Chile, Bolivia, Peru, Ecuador, and Colombia. A key notes percentage of Roman Catholics. Brazil and Chile are under 75 percent. Argentina, Bolivia, Paraguay, Ecuador, Colombia, and Venezuela are over 90 percent. Peru is 75 to 90 percent.Study the map, and then answer the questions using the drop-down menus.Which country has the highest percentage of Roman Catholics? Which country has the lowest percentage of Roman Catholics? How many countries have a Roman Catholic population of between 75 and 90 percent? what is the value of 45c+28d when c=-5 and d=2 6+3x=7-x. pls solve and i will mark you brainliest correct the sentence netheir Fay I can swim Lesson 9 Note Values Just do question 3 Tell me where to put the bar lines and the beats for treble clef PLS HELP ITS DUE TODAY ;(What are the costs and benefits of NAFTA to consumers and workers? Write your response in a well-developed paragraph and include an explanation of NAFTA. someone please help! When conducting research for a thesis paper, what is the best way to determine the authors point of view? A. Analyze the relevance and publication date of the source. B. Determine the authors relationship to the particular topic. C. Establish how much evidence the author has referenced. D. Create a Venn diagram to compare the authors main idea. E. Read the topic sentence of each paragraph for the main idea. List 10 words that you could use to describe Howard Arkleys A splendid Superior HomeWrite positive words plz what was the Jamestown philosophy from toward the native Americans ?: