Explain why multiplying a fraction by 5/6 results in a value that is less than the original fraction

Answers

Answer 1

Answer:

Step-by-step explanation:

(5/6) itself is less than 1 (but greater than 0).  Thus, anything multiplied by (5/6) will result in a smaller-by-magnitude quantity.

For example, (5/6)(3/4) is LESS than 3/4 because 5/6 is greater than zero but less than 1.

Answer 2

The fraction 5/6 is less than one anything multiplied to this number will be less than 1.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the fraction is 5/6.

5/6 is less than 1 on its own (but greater than 0). Anything multiplied by (5/6) will provide a magnitude-less result. Because 5/6 is more than 0 but less than 1, it can be shown that (5/6)(3/4) is less than 3/4.

Therefore, the fraction 5/6 is less than one anything multiplied to this number will be less than 1.

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Related Questions

De un total de 40 alumnos, a 36 les gusta ir al cine. ¿Cuál es el porcentaje de alumnos a los que les gusta ir al cine?

Answers

Answer:

o amar kotay 你最喜歡的動漫,我很抱歉成為你的問題,但你給了你 50 ru 複製你的業務和不歸還的總和,但你給了你我應該有第二個的 y 軸是

The percentage of students who like to go to the movies is 90%.

What is percentage?

In mathematics →

a percentage is a number or ratio expressed as a fraction of 100.it is often denoted using the percent sign "%".

Given is that of a total of 40 students, 36 like to go to the movies

We can write the percentage of students who like to go to the movies as follows -

{x}% = (36/40) x 100

{x}% = (9/10) x 100

{x}% = 90

Therefore, the percentage of students who like to go to the movies is 90%.

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{

Question in English is given as follows -

Of a total of 40 students, 36 like to go to the movies. What is the percentage of students who like to go to the movies?

}

$5000 is placed in a bank account with an annual interest rate of 5.5%. The function represents the balance in the account, f(x), after x years. Approximately, how long will it take for the account to double?

Answers

The bank account got 8,000

A woman invested 4 times much at 4% as she did at 9%. The total amount of interest she earns in 1 year from both accounts is $500. How much did she invest at each rate?

Answers

Answer:

$2,000 at 9%

$8,000 at 4%

Step-by-step explanation:

(4x * .04) + (x * .09) = 500

.16x + .09x

.25x = 500

x = $2,000 at 9%

4x = $8,000 at 4%

Answer:

2000 at 9%

8000 at 4%

Step-by-step explanation:

Let the principle at 9% = x

The principle at 4% = 4*x

Together they give 500 dollars.

9% = .09

4% = ,04

Both are invested for 1 year

0.09 * 1 * x + 0.04 * 1 * 4x = 500

0.09x + 0.16x = 500

0.25x = 500

x = 500 / 0.25

x = 2000

She invested 2000 at 9%

She invested 4 * 2000 at 4%

If (x + 1, 4) = (5, y –1), find the values of x and y.

Answers

Answer:

x = 4 and y = 5

Step-by-step explanation:

(x +1 , 4) = (5 , y -1)

compare the corresponding values

x + 1 = 5

x = 5 - 1

x = 4

4 = y - 1

4 + 1 = y

5 = y

4=y-1
4+1=y
5=y
That’s it gave a good day

Which of these is an example of typing at a rate of 42 words per minute?
A typing 21 words in 2 minutes
B typing 84 words in 3 minutes
C typing 210 words in 5 minutes
D
typing 400 words in 10 minutes

Answers

C. Typing 210 words in 5 minutes.

Explanation:
42 words per minute is equivalent to 210 words in minutes:

Write the 42 wpm and 210 words in 5 mins as a ratio:
42 : 1 and 210 : 5

Multiply both sides in the ratio 42 : 1 by 5:
42 x 5 = 210
1 x 5 = 5
= 210 : 5

Therefore 210 words in 5 mins is an example of the unit rate 42 wom because it is equivalent.

Hope this helps!
-SpaceMarsh
(Brainliest pls, tysm!)


Lisa took a survey of her classmates' favorite sport and recorded their genders. The results are in the table below:


What is the marginal relative frequency of survey participants who are girls?

0.06

0.5

0.43

17

Answers

Using it's concept, it is found that the marginal relative frequency of survey participants who are girls is of 0.43.

What is a relative frequency?

A relative frequency is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that there were 2 + 3 + 5 + 4 + 3 + 8 + 2 + 6 + 4 + 3 = 40 participants, of which 17 are girls, hence the relative frequency is given by:

f = 17/40 = 0.425

Which is rounded to 0.43.

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An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 28 feet up. The ladder makes an angle of 64 degrees with the ground. Find the length of the ladder. Round your answer to the nearest tenth of a foot if necessary.

Answers

Answer: 31.2

Step-by-step explanation:

Which theorem or postulate proves the two triangles are similar? The diagram is not drawn to scale .

Answers

Answer:

The SAS theroem proves that triangles are similar

Step-by-step explanation:

It means they are similar, not necessarily that they are exactly the same ;).

Answer:

AA Postulate

Step-by-step explanation:

I am making two kinds of cookies: chocolate chip and lemon cookies.
(a)
Chocolate Chip Cookies
It takes 0.25 cup of sugar to make a batch of chocolate chip cookies. I have 5.50 cups of sugar. How many batches of cookies can I make?
I can make
batches of chocolate chip cookies.
You may use the scratchpad to show your work.
(b) Lemon Cookies
It takes 0.75 cups of sugar to make a batch of lemon cookies. I have 5.5 cups of sugar. How many batches can I make?
I can make
batches of lemon cookies.
You may use the scratchpad to show your work
Enter your answer as a fraction

Uhh sorry to bother again I’ve had no motivation haven’t been paying attention so uh yea

Answers

22 chocolate cookies can be made from 5.50 cups of sugar and 7 lemon cookies can be made from 5.50 cups of sugar

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

The chocolate cookies is given as:

Number of chocolate cookies = 5.50 cups / 0.25 cup per cookie = 22

The lemon cookies is given as:

Number of lemon cookies = 5.50 cups / 0.75 cup per cookie = 7

22 chocolate cookies can be made from 5.50 cups of sugar and 7 lemon cookies can be made from 5.50 cups of sugar

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А
E
с
D
В
If mZACD = 100°, then mZECB = [?]°

Answers

Answer:

100

Step-by-step explanation:

they are vertical angles therefore, they have the same measure.

A triangular pyramid and its net are shown. Rain uses Calculations below to conclude that the surface area of a triangular pyramid is 238.5 sq inches. Is rain correct? Use the drop down menus to explain your reasoning.

Answers

Answer:

Rain is correct, calculates correctly, 238.5 square inches

Step-by-step explanation:

The given triangular pyramid is shown with the dimensions.

The surface area of the triangular pyramid is given by :

[tex]$A=\frac{1}{2}\left(a \times b\right) + 3\left(\frac{1}{2}\times b\times s\right)$[/tex]

[tex]$A=\frac{1}{2}\left(10 \times 8.7\right) + 3\left(\frac{1}{2}\times 10\times 13\right)$[/tex]

[tex]$A=43.5+(3\times 65)$[/tex]

[tex]$A=43.5+195$[/tex]

[tex]$A=238.5 \ \text{inche}^2$[/tex]

Therefore, the surface area of the triangular pyramid is = 238.5 square inches.

The depth of the water in the container at the beginning of the day on monday was 24 3/4 inches. What was the depth of the water in the container at the end of the day on friday

Answers

Answer:

25 1/4 inches

Step-by-step explanation:

Given :

Day ___ Mon ___ Tue ___ Wed ___ Thur ___Fri

△depth _-3/8 ___ - 1/8 ___ 1/2 ____ - 1/4 __ 3/4

Depth of water at the beginning = 24 3/4

Depth of water at the end of Friday:

24 3/4 - 3/8 - 1/8 + 1/2 - 1/4 + 3/4

24 3/4 + (-3/8 - 1/8 + 1/2 - 1/4 + 3/4)

24 3/4 + (-1/2 + 1/2 + 3/4)

24 3/4 + ( - 1/4 + 3/4)

24 3/4 + 1/2

24 + (1 1/4

24+ 1 + 1/4

25 1/4

Please help it's urgent!Need help quick!

Answers

Answer:

Solution

Step-by-step explanation:

Hope this helped :)

Solution makes the most sense

What’s the
mean
Median
Mode

Answers

Answer:

mean: 4.5 (1dp)

median: 4

mode: 6

Step-by-step explanation:

mean:

0 + 1 + 1 + 2 + 2 + 2 + 2 + 3 + 3 + 3 + 4 + 4 + 4 + 5 + 5 + 6 + 6 + 6 + 6 + 6 + 7 + 8 + 8 + 9 + 10 = 113

113 divided by 25 = 4.52, or just 4.5 (rounded to one decimal place

median:

(middle) = 4

mode:

(most occurring) = 6

Could you help me with this question I am finding it a little bit hard.

Answers

Answer:

[tex] \frac{5 + 4 {m}^{2} }{4mn} [/tex]

The heights of 20-year-old females are normally distributed with a mean of 64 inches 
and a standard deviation of 2 inches. What is the z-score for a height of 67 inches?

Answers

Answer:

1.5

Step-by-step explanation:

Applying,

Z = (x-μ)/σ................. Equation 1

Where Z = Z score for a height of 67 inches, x = height, μ = mean of the height, σ = standard deviation of the height.

From the question,

Given: x = 67 inches, μ = 64 inches, σ = 2 inches.

Substitute these values into equation 1

Z = (67-64)/2

Z = 3/2

Z = 1.5

Solve for the answer.
Let x=10

4x + 12=

(A) 0.52
(B) 5.2
(C) 52

Answers

Answer:

c 52

Step-by-step explanation:

x=10

4 ×10=40

40+12=52

If x is greater than 16 and less than 25, then is _____.

greater than 16 and less than 25
greater than 8 and less than 13
greater than 256 and less than 625
greater than 4 and less than 5

Answers

Answer:

greater than 16 and less than 25(easy)

Help
solving variables on both sides​

Answers

Step-by-step explanation:

7x + 2 = 4x + 0

both sides substracted by 2

7x = 4x -2

both sides substracted by 4x

7x-4x = -2

3x = -2

both sides divided by 3

3x/3 = -2/3

=> x = -⅔

[tex]\\ \sf\bull\dashrightarrow 7x+2=4x+0[/tex]

Any no added with 0 will the number itself.Hence omit zero

[tex]\\ \sf\bull\dashrightarrow 7x+2=4x[/tex]

[tex]\\ \sf\bull\dashrightarrow 7x-4x=-2[/tex]

[tex]\\ \sf\bull\dashrightarrow 3x=-2[/tex]

[tex]\\ \sf\bull\dashrightarrow x=\dfrac{-2}{3}[/tex]


Please help me I don’t know this

Answers

Answer:

28 degrees

Step-by-step explanation:

68 = 2m + 12

56 = 2m

m = 28 degrees

am pls answer this sorry​

Answers

Answer:

16. 1

17. 3

18. 1

19. 1

20. 1

Step-by-step explanation:

I'm sorry that I don't speak in Filipino but I can help fill in the blanks.

(In brackets is the English translation)

12 pulgada = 1 piye (12 inch is 1 foot)

1 yard = 3 piye (1 yard is 3 feet)

10 sentimetro = 1 desimetro (10 centimeters is 1 decimeter)

1000 metro = 1 kilometro (1000 meters is 1 kilometer)

10 millimetro = 1 sentimetro (10 millimeters is 1 centimeter)

Which of the following is NOT true?
A. Parallel lines are always in the same plane.
B. Perpendicular lines never intersect at right angles.
C. Parallel lines never intersect each other.
D. Perpendicular lines are always in the same plane.

Answers

The statement that is not true is

B. Perpendicular lines never intersect at right angles.

The definition of perpendicular lines is that they will intersect each other at 90 degree angles.

Answer:

B. Perpendicular lines never intersect at right angles.

Step-by-step explanation:

The perpendicular lines are lines that intersect at a right (90 degrees) angle. So, the option (B) is wrong and not true.

find the value of x. round
to nearest degree

Answers

Answer:

B

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{11}{20}[/tex] , then

x = [tex]cos^{-1}[/tex] ( [tex]\frac{11}{20}[/tex] ) ≈ 57° ( to the nearest degree ) → B

the answer to your question is B

Can someone help or explain the problem to me

Answers

Answer:

I think I explained the circle one before so I'll explain the left question because I wanted some points.

here,

area of circle is πr² which is given= 12 π cm²

so πr²= 12π

r= 2√3

d= 2r= 4√3

AB is diameter so AB= 4√3

David had 74 pennies and then lost 18. Now he wants to buy a treat that costs 2 sevenths of the pennies he has left. How many pennies does the treat cost?


HELP ASAP PLEASEEEEE!!!

Answers

Answer:

16 pennies

Step-by-step explanation:

74 - 18 = 56

56 / 7 = 8

1/7 of the pennies is 8 pennies.

2/7 of the pennies are 16 pennies.

Answer:

18 pennies

Step-by-step explanation:

74-18=56

56/7=8

8x2=16

Will give brainliest

Answers

Answer:

13/50

Step-by-step explanation:

13 does not have any factors w except 1 and 13, so you can't simplify it anymore than 13/50.

Find the sale price.
Original price: $50

Discount: 15%

Sale price: $_____

Answers

Answer:

The new price is 42.50

Step-by-step explanation:

First find the discount

50 *15%

50 *.15

7.5

Subtract this from the original price

50-7.5

42.50

The new price is 42.50

Brainliest, 10 points

Answers

Answer:

last option is correct

Step-by-step explanation:

(a-9)(a+9)

a(a+9)-9(a+9)

a^2+9a-9a-81  (plus 9a and minus -9a gets cancel)

a^2-81

a^2-9^2

Answer:

[tex]a^2-81[/tex]

Step-by-step explanation:

[tex](a-9)(a+9)[/tex]

Distribute, multiply everything in one of the parenthesis by everything in the other parenthesis,

[tex](a - 9)(a + 9)\\\\(a)(a)+(-9)(a)+(9)(a)+(-9)(9)[/tex]

Simplify, perform the multiplication and combine like terms,

[tex]a^2-9a+9a-81\\\\a^2-81[/tex]

What is the slope of the line with points of (0,-1)) and (2,3)

Answers

Answer:

2

Step-by-step explanation:4divided by 2 =2

Answer:

2

Step-by-step explanation:

[tex]x_{1}=0; y_{1}=-1\\\\x_{2}=2 ; y_{2}=3\\\\Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{3-[-1]}{2-0}\\\\=\frac{3+1}{2}\\\\=\frac{4}{2}\\\=2[/tex]

I
Acellus
Find the volume of the cone.
5
Diameter: 14 m, Slant Height: 25 m
Help Resources
Round to the nearest whole number.
Volume
[?] m3

Answers

The volume of the cone to the nearest whole number is 1283 m³

How to determine the volume

Formula for volume of a cone = [tex]\pi r^2\frac{h}{3}[/tex]

Slant height = 25m

If diameter = 14m , radius = 14/2 = 7m

Pie = 22/7

Substitute values into formula

We have,

Volume = [tex]3. 142 * 7 * 7 * \frac{25}{3}[/tex]

Volume = [tex]1,282. 98[/tex]

Volume = [tex]1283 m^3[/tex] in the nearest whole number

Thus, the volume of the cone to the nearest whole number is 1283 m³

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