15/16 is 1 sixteenth group of what size?

Answers

Answer 1

15/16 is 1 sixteenth group of size 1.0667.

15/16 represents a fraction where the numerator (15) is smaller than the denominator (16), indicating that it is less than a whole. When we express 15/16 as a mixed number, we get 15/16 = 0.9375, which means it is almost a whole.

In terms of groups, 15/16 can be thought of as 15 groups of a certain size out of 16. To find out the size of each group, we divide the total (16) by the number of groups (15), which gives us 16 ÷ 15 = 1.0667. Therefore, 15/16 is 1 sixteenth group of size 1.0667.

In other words, if we divide the whole into 16 equal parts, each part would be approximately 1.0667 units in size, and taking 15 of these parts would give us 15/16 of the whole.

This demonstrates that fractions can be interpreted as division problems and can be represented in various ways to understand the concept more deeply.


Related Questions

What is the 7.2222222222..... as a rational number?

Answers

Final answer:

The repeating decimal 7.2222222222... as a rational number is 7 2/9. The conversion involves setting the repeating decimal equal to x, scaling it by a power of 10, subtracting the original number, and then solving for x to find the equivalent fraction.

Explanation:

The number 7.2222222222..., when expressed as a rational number, is the fraction 7 2/9. To convert a repeating decimal to a fraction, you can use the following steps:

Let x equal the repeating decimal, so x = 7.2222222222...Multiply x by a power of 10 that moves the decimal point to the right just before the repeating digits start. In this case, we use 10x to get 10x = 72.222222222...Subtract the original number (x) from this new number (10x). Doing this will get 10x - x = 72.222222222... - 7.222222222... = 65.Since 10x - x = 9x, we now have 9x = 65. Therefore, x = 65/9, which simplifies to 7 2/9.

This process shows how to express the repeating decimal as a fraction and thereby convert it into a rational number.

math question down below

Answers

7.777777..        repeating
6.213                repeating
5.152535          nonrepeating
4.04                  repeating
7.7777777 is repeating
and so is 6.123

The domain of the function given below is the set of all real numbers greater than 1/2 f(x)=(1/2)^x

Answers

any answer choices please???
Final answer:

The function f(x) = (1/2)^x accepts any real number as an input, so its natural domain is the set of all real numbers. However, the question specifies that the domain is all real numbers greater than 1/2, which might be due to the context in which this function is used.

Explanation:

The function f(x) = (1/2) x is a function that will accept any real number as an input. Therefore, the natural domain of this function would be the set of all real numbers. However, in your question, the function is given a specific domain, that is, all the real numbers greater than 1/2. This domain restriction might be due to the context in which this function is used.

Remember, the domain of a function is the set of all possible input values (x-values) that will give a valid output value (f(x)). For example, in the function f(x) = 1/x, the domain is all real numbers except zero because we cannot divide by zero.

In your function f(x) = (1/2)x, there is no value of x that will result in a not defined output, so unless stated otherwise, the domain is all real numbers. However, here we are given that the domain is all real numbers greater than 1/2.

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in 1525 German print-maker Albrecht Durer first used the word net to describe a printed pattern that folds up into a three dimensional shape. Why do you think he choose to use the word net?

Answers

Albrecht Dürer used the term 'net' to describe a pattern because of its geometric nature and the way it mirrors a literal fishing net, which can be both flat and three-dimensional. His background in printmaking and geometry likely influenced this descriptor, showing his dedication to precision and instruction in visual arts.

The term net used by Albrecht Dürer in 1525 refers to a pattern that when folded, creates a three-dimensional shape. Dürer, a prominent figure in the Northern Renaissance, was a master in various forms of visual art. He possessed expertise in painting, printmaking, and had an understanding of geometrical principles as well as the new technology of print. The use of the word 'net' to describe a flattenable 3D pattern aligns with Dürer's keen attention to detail, precision, and geometry in his artworks. His choice of the term could have been inspired by the resemblance of the interconnected lines in a pattern to a fishing net, which can be spread out flat but typically exists in a more complex, three-dimensional form.

Through his prints and craft manuals, Dürer contributed to the dissemination of knowledge on artistic techniques and the use of geometry in art. His detailed illustrations often acted as visual instructions, which would align with the concept of a 'net' aiding in the construction of a three-dimensional understanding of shapes and forms. The term might have been quite intuitive for someone with Dürer's graphical sensibility, as it connects the craft of design with a term that people could visualize and comprehend easily.

Which of the following best describes the square root of 12

Answers

√22⋅322⋅3Pull terms out from under the radical.2√323The result can be shown in both exact and decimal forms.Exact Form:2√323Decimal Form:3.46410161…

Alicia wants to cover a section of her wall that is 2 feet wide and 12 feet long with mirrors.Each mirror tile is 2 feet wide and 1.5 feet long.How many mirror tiles does she need to cover that section?

Answers

The answer is 8 mirrors.

how many pairs of intersecting line segments does a cube have?

Answers

6 i believe if you need more help let me know

Mr nielson works 154 hours each month He works 8 months each year. How many hours does Mr nielson work each year

Answers

If Mr. Nielson works 154 hours a month, and 8 months ( 154 x 8 ) then he works 1232 hours a year.

Hope this helps. :)
154 hours for 1 month

works 8 months

to find total number of hours per year you multiply 154*8 because there are 154 hours in one month.


ANSWER: 1232

What is 0.623 divided by 0.07

Answers

You may find it easier to do this division if you'd first multiply both divisor and dividend by 1000.

the problem will then look like  623/70.

How many times does 70 divide into 62?  None.  Next, ask, how many times does 70 divide into 623?  7 times 9 is 63 (too large).  7 times 8 is 56 (OK).

So, 70 divides into 623 8 times, with a remainder of 63.  bring down a zero and then divide 70 into 630.

And so on.

On calculator:  623/70 = 8.9

The solution to the division of 0.623  by 0.07 is;

8.9

We want to divide 0.623 by 0.07.

This is;

0.623/0.07

Now, to solve this easily, let's make use of multiplication property of equality where if we multiply the numerator and the denominator by the same number, we will still get the same answer.

Let's multiply numerator and denominator by 100 to get;

(0.623 × 100)/(0.07 × 100)

⇒ 62.3/7

Dividing this gives us a final answer of; 8.9

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I need help with the rest of those problems? the ones that are blank.

Answers

Problem #11:

Twice a number (n) decreased by 5 is at least 11.
          2n                    -                   5   is = to or greater than 11.

          2n - 5 is = to 11 comes out as 2n = 11 + 5, or 2n = 16, or n = 8.

If n = 8 or is greater than 8,  2n=5 will be at least 11.


Please, start work on the problems you haven't yet done.  I'd be happy to comment on your own work and help you bring the solution to conclusion.

It will be -12 degrees tonight. The weatherman predicts it will be 25 degrees warmer by noon tomorrow. What will be the temperature be by noon tomorrow?

Answers

-12 degrees tonight
25 degrees warmer at noon

-12 + 25 = 13 degrees at noon tomorrow
The answer would be 13 degrees

if the amount of white sugar were increased by a factor of 2 1/2, in cups how much white sugar would there be
A. 2 1/2
B. 2 3/5
C. 1 2/3
D. 1 3/5

Answers

Final answer:

To find the amount of white sugar if it were increased by a factor of 2 1/2, multiply the original amount by 2 1/2. The answer is A. 2 1/2 cups.

Explanation:

To find the amount of white sugar if it were increased by a factor of 2 1/2, we need to multiply the original amount by 2 1/2. Let's assume the original amount is x. Multiplying x by 2 1/2 gives us:

x × 2 1/2 = x × 2 + x × 1/2 = 2x + (1/2)x = (4/2)x + (1/2)x = (5/2)x

So, the amount of white sugar after it is increased by a factor of 2 1/2 is (5/2)x cups. This is equivalent to 2 1/2 times the original amount of white sugar. Therefore, the answer is A. 2 1/2 cups.

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What is the value of 6 cubed?What is the value of 6 cubed?

12

36

72

216

Answers

The value of 6 cubed would be 216. This is equivalent to 6*6*6 (since cubes are a number to the 3rd power) which is simplified to 216.

The value of 6 cube or 6×6×6 or 6³ is 216.

What is a perfect square number?

A perfect square number when taken the square root of it results in an integer.

Numbers that are not perfect squares when taken the square root of it are irrational numbers.

One method of obtaining square roots for perfect squares is prime factorization.

Now, A perfect cube number is which when taken cube root results to an integer.

A number multiplied by itself by twice results in a cube of that number.

Therefore, The value of 6 cube would be 6 multiplied twice to itself, which is, = 6×6×6 = 36×6 = 216.

It can also be written as exponent form which is, 6³.

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what is x? x^2+(x+1)^2=145

Answers

We want to determine x from the equation
x² + (x+1)² = 145

Expand.
x² + x² + 2x + 1 = 145
2x² + 2x + 1 - 145 = 0
2x² + 2x - 144 = 0
x² + x - 72 = 0

Factorize.
(x - 8)(x + 9) = 0

Therefore
x = 8, or x = -9

Answer:  x = 8 or x = -9
Answer:  x = 8, -9 " .
___________________________________________
Explanation:

___________________________________________
Given:
___________________________________________
x² + (x + 1)² = 145 ;  Solve for "x" :
___________________________________________
Note:  (x+1)² = (x+1) (x+1) = x² + 1x + 1x + 1 = x² + 2x + 1 ;
___________________________________________
 → x² + (x + 1)²   = x² + x² + 2x + 1 ;

                          = 2x² + 2x + 1 ; 
__________________________________
             2x² + 2x + 1 = 145 ;

Subtract "1" from each side:
__________________________________
  ↔  2x² + 2x + 1 - 1  = 145 - 1 ; 

to get: 
__________________________________________
  →  2x² + 2x = 144 ; 
__________________________________________
Now, subtract "144" from EACH SIDE of the equation:
__________________________________________
  → 2x² + 2x - 144 = 144 - 144 ;
__________________________________________
to get:

  → 2x² + 2x - 144 = 0 ;

which is an equation written in "quadratic format" that is:

" ax² + bx + c = 0 ;  (a≠ 0) " ; 
____________________________________
We have:
____________________________________
  → 2x² + 2x - 144 = 0 ; 
____________________________________
Divide each side of the equation by "2" ; to simplify:

  {2x² + 2x - 144} / 2 = 0 / 2 ;
____________________________________
to get:
____________________________________
   →   x² +  x - 72 = 0 ; 
____________________________________
The "left-hand side" of the equation can be factored:
____________________________________
    (x - 8) (x + 9) = 0 ; 
______________________________________
 →  x = 8, -9 .
______________________________________

Which of the ratios below can be used to finish the proportion
5/12 = ... ?
Select all correct answers.( The slashes are fraction bars not division signs!!)

(A) 0.25/0.6 (B) 40:96 (C) 1/2 over 1 and 2/5 (D) 1.5:3.6 (E) 1/3 over 0.8
Thanks so much I don't get this!

Answers

the correct ones are A,B, D&E

Two bicyclists are 180 miles apart when they start racing towards each other. If their speeds are 14 mph and 16 mph respectively, how long will it be before they are twenty miles apart?

Answers

Answer:

5 1/3 hours

Step-by-step explanation:

Answer:

5 1/3 hours or 320 minutes

Step-by-step explanation:

hours worked / pay 2/$15.00 4/$30.00 6/$45.00 8/$60.00 A/p=7.50h B/ p=15h C/ p=h+15 D/h=7.50p

Answers

Working for 2 hours pays $15.
Divide $15 by 2 to get $7.50 per hour.
Divide each amount of pay by its hours, and all are $7.50 per hour.
The equation is $7.50 multiplied by the number of hours, or

p = 7.50h

Answer:

The answer is D. p=7.50h

The ratio of students to teachers at a school is 19:1 how many students are there in each total of people?



A.100 people B.280 C.440 D.760

Answers

I got D. 760
this needs to be more than 20 characters so yeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Grace earn seven dollars for each car she washes she also save $25 for a weekly earnings this week she wants to have at least $65 in spending money how many cars would you wash right and solve an Equality to represent the situation interpret the solution contacts

Answers

about 6 cars because 6 times 7 is 42 and if you add that to 25 you get 67 dollars.

You paint 1/2 wall in 1/4 hour. At that rate, how long will it take you to paint one wall?

Answers

[tex] \frac{1/2}{1/4} = \frac{1}{x} [/tex]

1/4 ÷ 1/2 = 1/2

1/2 an hour to paint one wall

x^2+xy=20 and y^2+xy=30 what is xy?

Answers

its got to be number1 

What is 1/2 x 2/3 x 3/4

Answers

       
I believe the answer is 0.25



The answer is:  "  [tex] \frac{1}{4}[/tex] " ;  or, write as:  "0.25" .
___________
Explanation:
__________
Method 1)
__________
[tex] \frac{1}{2}[/tex]*[tex] \frac{2}{3} [/tex]*[tex] \frac{3}{4}[/tex] ;

= [tex] \frac{1 * 2 * 3}{2* 3 *4} [/tex] ;

= [tex] \frac{6}{24}[/tex] ; 

= [tex] \frac{6/6}{24/6}[/tex] ;

= [tex] \frac{1}{4}[/tex] ;  or, write as:  "0.25" .
_________________
Method 2)
_________________
[tex] \frac{1}{2}[/tex]*[tex] \frac{2}{3} [/tex]*[tex] \frac{3}{4}[/tex] ;

= [tex] \frac{1 * 2 * 3}{2* 3 *4} [/tex] ;

→ The "2's" & "3's" in both the numerator & denominator "cancel out" to "1" ;  {since:  "(2÷2=1)" ; and "(3÷3=1" ) ; 

→ And we have:

   
→  [tex] \frac{1 * 1 * 1}{1 * 1 * 4} [/tex] ;

            =  [tex] \frac{1}{4} [/tex] ;  or; write as:  "0.25" .
________________
Method 3)  (similar to "Method 2" above):
_________________
[tex] \frac{1}{2}[/tex]*[tex] \frac{2}{3} [/tex]*[tex] \frac{3}{4}[/tex] ;

= [tex] \frac{1 * 2 * 3}{2* 3 *4} [/tex] ;

→ The "2" in numerator cancels out to "1" ; and the "4" in the denominator cancels to "2" ;  {since:  "(4÷2=2)" ; and since: "(2÷2=1)" ;

→  The "3's" in both the numerator AND denominator "cancel out" to "1" ;                      {since:  "(3÷3=1" ) ; 

→ And we have:

   →  [tex] \frac{1 * 1 * 1}{2 * 1 * 2} [/tex] ;

            =  [tex] \frac{1}{4} [/tex] ;  or; write as:  "0.25" .
_______________
Method 4)
_______________
[tex] \frac{1}{2}[/tex]*[tex] \frac{2}{3} [/tex]*[tex] \frac{3}{4}[/tex] ;

→ Cancel out the "2" in the denominator of "[tex] \frac{1}{2}[/tex]" ; to a "1" ; AND cancel out the "2" in the numerator of "[tex] \frac{2}{3} [/tex] " ; to a "1" ;
       {since: "{2÷2=1}" ;
 
 → Cancel out the "3" in the denominator of "[tex] \frac{2}{3} [/tex] " ; to a "1" ;
AND cancel out the "3" in the numerator of: "[tex] \frac{3}{4}[/tex]" ; to a "1" ;
      {since:  "(3÷3=1}" ;

→ And we have:

   →  [tex] \frac{1}{1}[/tex] * [tex] \frac{1}{1} [/tex] * [tex] \frac{1}{4} [/tex] ; 

              = [tex] \frac{1 * 1 * 1}{1 * 1 *4} [/tex] ; 
           
              =  [tex] \frac{1}{4} [/tex] ;  or; write as:  "0.25" .
________________
Variation:
________________
At the point when we have:
________________

   → [tex] \frac{1}{1}[/tex] * [tex] \frac{1}{1} [/tex] * [tex] \frac{1}{4} [/tex] ; 
________________
We can eliminate the: 

"  [tex] \frac{1}{1}[/tex]  *  [tex] \frac{1}{1}[/tex]  " ;

{since: "  [tex] \frac{1}{1}[/tex] = 1 " ; 

{and since:  "  [tex] \frac{1}{1}[/tex]  *  [tex] \frac{1}{1}[/tex]  "  =  1 * 1 = 1 ; 

and since: "1", multiplied by any value, equals that exact same value; 
_____________
THAT IS:
_____________
    → [tex] \frac{1}{1}[/tex]  *  [tex] \frac{1}{1}[/tex]   *  [tex] \frac{1}{4}[/tex]  ;

         =  1  *  1  *  [tex] \frac{1}{4}[/tex] ;

         =  (1 * 1)  *  [tex] \frac{1}{4}[/tex] ;

         =    1 *   [tex] \frac{1}{4}[/tex]  ;
  
         =    [tex] \frac{1}{4}[/tex] ;  or, write as:  "0.25" .
_____________
Method 5)   (similar to "Method 4" above):
____________________
[tex] \frac{1}{2}[/tex]*[tex] \frac{2}{3} [/tex]*[tex] \frac{3}{4}[/tex]  ;

  → Cancel out the "2" in the numerator of "[tex] \frac{2}{3} [/tex]" ; to a " 1 " ; 
AND cancel out the "4" in the denominator of "[tex] \frac{3}{4}[/tex]"; to a "2" ;
       {since: "{4÷2=2}" ; and since: "{2÷2=1}" ; 

  → Cancel out the "3" in the denominator of "[tex] \frac{2}{3} [/tex] " ; to a "1" ;
AND cancel out the "3" in the numerator of: "[tex] \frac{3}{4}[/tex]" ; to a "1" ;
      {since:  "(3÷3=1}" ;

→ And we have:
_____________
   →  [tex] \frac{1}{2}[/tex] * [tex] \frac{1}{1} [/tex] * [tex] \frac{1}{2} [/tex] ; 

              = [tex] \frac{1 * 1 * 1}{2 * 1 *2}[/tex] ; 

                      =  [tex] \frac{1}{4}[/tex] ; or, write as:  "0.25" .
__________
Variation:
__________
At the point when we have:
__________
   →  [tex] \frac{1}{2}[/tex] * [tex] \frac{1}{1} [/tex] * [tex] \frac{1}{2} [/tex] ; 
__________
We can eliminate the: 

"  [tex] \frac{1}{1}[/tex]  " ; 

{since: "  [tex] \frac{1}{1}[/tex]  =  1 " } ; 

{and since: "1", multiplied by any value, equals that exact same value} ; 
___________
THAT IS:
___________
   →  [tex] \frac{1}{2}[/tex] * [tex] \frac{1}{1} [/tex] * [tex] \frac{1}{2} [/tex] ; 

      =    [tex] \frac{1}{2}[/tex]   *    1    *    [tex] \frac{1}{2}[/tex]  ;

          =    [tex] \frac{1}{2}[/tex]   *    [tex] \frac{1}{2}[/tex]  ;

          =    [tex] \frac{1*1}{2*2} [/tex]  ;

              =  [tex] \frac{1}{4}[/tex] ; or, write as:  "0.25" .
__________________________________________________________

If there are 5,280 feet in a mile, how many feet are in 2.6 miles?

Answers

The correct answer is 13,728 

Hope this helps!
13728 is your answer

It takes a person 30 minutes to gather 1 basket of fruit. Working at the same rate, how many baskets can 25 people gather in 8 hours?

Answers

14 baskets per person
14 x 25= 350
350 baskets
0.5=1
1.0=2
1.5=3
2.0=4
2.5=5
3.0=6
3.5=7
4.0=8
4.5=9
5.0=10
5.5=11
6.0=12
7.5=13
8.0=14

Javier is cooling a liquid in a science lab. The liquid starts at 85 degrees, and he cools it 3.5 degrees every minute for 12 minutes. Create a number sentence to model this scenario.

Answers

The equation that can be used in order to represent the scenario presented above is,
       
     T(x)= 85 - 3.5x

Where T(x) is equal to the temperature at any given point and x is the number of minutes (The values of x range from 0 - 12. Solving for these values,
   
    T(0) = 85 - 3.5(0) = 85
    T(1) = 85 - (3.5)(1) = 81.5
     T(2) = 85 - (3.5)(2) = 78

The list will then be completed as,
      85, 81.5, 85 up to 43. 

gas costs $2.53 per gallon in May. In September, gas cost $3.05 per gallon. What was the percent change in the cost of a gallon of gas?

Answers

First, find the difference:
$3.05 - $2.53
= $0.52
Take the positive difference and divide with the original price:
0.52 / 2.53
= 0.2055(bunch of numbers)
Then, multiply that by 100 or move the decimal 2 places to the right.
20.55 (rounded)
Your answer is:
20.6%



Answer:

20.6%

Step-by-step explanation:

To calculate the percentage of how much increase, we must first know how much is the difference in the price of May with that of September.

That difference will represent how many $ increase the gallon

[tex]3.05-2.53=0.52[/tex]

We know that a $ 0.52 increase now we must calculate to what percentage of the initial price this value is equivalent to know in what percentage the price of May increased.

[tex]2.53 \longrightarrow 100\%\\0.52 \longrightarrow x\\x=\frac{(0.52)(100)}{2.53} \\x=20.6\%[/tex]

Trent hikes up a hill at 4 km/h. He hikes back down at 6 km/h. The hiking trip took 3 hours. How much time did it take Trent to hike up the hill? Write an equation you can use to solve for t, the time it took him to climb up the hill

Answers

t = time to hike up the hill

3-t is the time to hike down the hill

 so 4t = 6(3-t)

4t = 18-6t

10t = 18

t = 18/10 = 1.8 hours to hike up the hill

1.8 hours = 1 hour 48 minutes

Answer:

The time it took him to climb up the hill is 1.8 hours.

Step-by-step explanation:

Here, t represents the the time it took him to climb up the hill,

Total time taken by it = 3 hours,

Thus, the time taken by it to climb down the hill = ( 3 - t ) hours.

Since, Trent hikes up a hill at 4 km/h,

⇒ Total distance covered by it to climb up = 4 t    (Distance = Speed × Time)

Since, Trent go down a hill at 6 km/h,

⇒ Total distance covered by it to go down = 6(3-t)  

We know that,

Total distance covered by it to climb up = Total distance covered by it to go down

4t = 6(3-t)

Which is the required equation.

⇒ 4t = 18 - 6t

⇒ 10 t = 18

t = 1.8

Hence, the time it took him to climb up the hill is 1.8 hours.

What is the domain of the function y= square root of x-10

Answers

I don't know if your saying y= √(x-10) or y= √(x) - 10. But I'll do both
Domain for √(x-10): [10, ∞)
Domain for √(x) - 10: [0, ∞)

owen's bedroom has a perimeter of 46 feet if the length is 11 feet, what is the width of the bedroom anwer

Answers

To start off, identify your equation. You know P= 46, and L= 11, so you need to find W=. To do that, first you need to double your length, and width. So, L now equals 22, and W now equals 2W. Now, add W, and L, and it will need to be the original number. Simply subtract 22, from your product,  and divide by two, and you'll have W. Here's what the equation should look like.

(2 * 11) + 2W= 46

22 + 2W= 46

46 - 22= 24

2W= 24

W= 12 ft. Or, the width is 12 feet.

In un rettangolo la somma delle sue dimensioni misura 154 cm e queste sono una i 5/6 dell'altra.Calcola l'area del rettangolo.

Answers

1043,83125      Penso che sia la risposta
Final answer:

L'area del rettangolo in questione è 6449.5 cm quadrati, calcolata risolvendo l'equazione che unisce le due lunghezze date.

Explanation:

In questo problema matematico, siamo interessati a trovare l'area di un rettangolo. Sappiamo che la somma delle lunghezze dei due lati del rettangolo è 154 cm e che un lato è 5/6 della lunghezza dell'altro .

Possiamo iniziare ponendo x come la lunghezza più corta e 5x/6 come la lunghezza più lunga, in quanto è 5/6 della lunghezza di x. Sommando questi due valori, otteniamo l'equazione: x + 5x/6 = 154. Risolvendo questa equazione, otteniamo x = 88 cm.

Il lato più lungo del rettangolo sarà quindi 5/6 * 88, che è uguale a 73.33 cm. Per calcolare l'area del rettangolo, moltiplichiamo la lunghezza con la larghezza: 88 cm * 73.33 cm = 6449.5.

Quindi, l'area del rettangolo è 6449.5 cmquadrati.

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