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

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

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

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:

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

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]

Find the area of the shaded region.

Answers

I’ve attached my work…
Hope it helps!

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

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

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

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.

|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

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!

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

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:

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:

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.

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

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

━═━═━═━═━═━═━═━━═━═━━═━═━━═━═━═━

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

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

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

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

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

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

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 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

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]

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

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