What is the definition of ratio table

QUESTION POSTED AT 05/12/2019 - 06:12 PM

Answered by admin AT 05/12/2019 - 06:12 PM

A table with columns filled with pairs of numbers that have the same ratio.
Post your answer

Related questions

What is the ratio of the area of rectangle ABCF to the area of rectangle ABDE?

The ratio of the area is 2/3

ANSWERED AT 22/01/2020 - 02:09 AM


QUESTION POSTED AT 22/01/2020 - 02:09 AM

$30:$6 Simplify the ratio. A. 1:5 B. 3:15 C. 5:1 D. 15:3

The answer is C because 6 goes into 6 one time, and 30 five times, giving you 5:1.

ANSWERED AT 22/01/2020 - 02:01 AM


QUESTION POSTED AT 22/01/2020 - 02:01 AM

(2.03) The table shows the solution to the equation |2x − 3| − 1 = 2: Step 1 |2x − 3| = 2 + 1 Step 2 |2x − 3| = 3 Step 3 2x − 3 = 3 or 2x + 3 = 3 Step 4 2x = 6 or 2x = 0 Step 5 x = 3 or x = 0 Which is the first incorrect step? (1 point)

The first incorrect step would be step number three since when solving Absolute-Value Equations, when you isolate the Absolute-Value bars and the terms inside of it, the next step should be to make two equations: one that equals the original number given on the right side of the equal sign and one that is the opposite of the number on the equal sign. For example, in this case, Step three should have turned out more like this:

|2x - 3| = 3

2x - 3 = 3 AND  2x - 3 = -3

ANSWERED AT 22/01/2020 - 01:55 AM


QUESTION POSTED AT 22/01/2020 - 01:55 AM

Bookstore rents books to students for $2 per book. The cost of running the bookstore is $300 per hour. The numbers of books and the probabilities that the bookstore would rent them in an hour mimics the distribution of the outcomes of flipping four coins. The probability of renting a number of books was observed to be the same as the number of heads that appear in a four-coin flip. This distribution is represented in the table. Books Rented Probability Based on the data in the table, the expected value the bookstore can make per student in one hour is $

From my research, the available data in the problem is as follows:

No. of Heads | Probability
          0               1/16
          1               4/16
          2               6/16
          3               4/16
          4               1/16

To calculate the average amount spent by a student in an hour:

[(0 * 1/16) + (1 * 4/16) + (2 * 6/16) + (3 * 4/16) + (4 * 1/16)] * 2

= 4

Therefore, the library earns $4 per student each hour

ANSWERED AT 22/01/2020 - 01:27 AM


QUESTION POSTED AT 22/01/2020 - 01:27 AM

The ratio of the volume of two cubes is 125 to 64. What is the ratio of their surface area?

The ratio of the volumes of two cubes is the cube of the ratio of their sides. From the given ratio of volumes, 125/64, the ratio of the sides of these two cubes is 5/4. Additionally, the ratio of their surface areas is the square of the ratio of their sides. 

Thus, the ratio of their surface areas is 25/16. 

ANSWERED AT 22/01/2020 - 01:25 AM


QUESTION POSTED AT 22/01/2020 - 01:25 AM

Fifty people own 4,000 books. What's the ratio of people to books?

To determine the ratio (r) of people to books, simply divide the number of people (P) to the number of books (B). This is shown in the equation below.
 
                                             r = P / B 

Substituting the given values,
 
                                       r = 50 people / 4,000 books
                                           r = 1 / 80

Thus, the ratio of people to books is 1:80.


ANSWERED AT 22/01/2020 - 01:12 AM


QUESTION POSTED AT 22/01/2020 - 01:12 AM

Given: m∠AEB = 45° ∠AEC is a right angle. Prove: bisects ∠AEC. Proof: We are given that m∠AEB = 45° and ∠AEC is a right angle. The measure of ∠AEC is 90° by the definition of a right angle. Applying the gives m∠AEB + m∠BEC = m∠AEC. Applying the substitution property gives 45° + m∠BEC = 90°. The subtraction property can be used to find m∠BEC = 45°, so ∠BEC ≅ ∠AEB because they have the same measure. Since divides ∠AEC into two congruent angles, it is the angle bisector.

Answer:

The proof is explained below.

Step-by-step explanation:

Given ∠AEB=45° and also ∠AEC is right angle i.e ∠AEC=90°

we have to prove that EB is the angle bisector.

In the right angled triangle AEC,

∠AEC=90° and also ∠AEB=45°

∵ ∠AEB+∠BEC=∠AEC

⇒ 45° + ∠BEC = 90°

By subtraction property of equality

∠BEC = 45°

Hence,  ∠AEB = ∠BEC = 45°

The angle ∠AEB equally divides by the line segment EB therefore, the line segment EB is the angle bisector of angle ∠AEB.

ANSWERED AT 22/01/2020 - 01:10 AM


QUESTION POSTED AT 22/01/2020 - 01:10 AM

A quantity a varies inversely as a quantity b, if, when b changes, a changes in the inverse ratio. What happens to the quantity a if the quantity b doubles? (site 1)

Let us write the inverse variation in the given in an equation form,
 
                                             a = k / b

where k is the constant of proportion. 
If the value of b is double, there should be a corresponding change in a. 

                                            (x)(a) = k / 2b
                                         (x)(a) = (1/2)(k/b)

The value of x is 1/2. Therefore, the value of a is halved. 



ANSWERED AT 22/01/2020 - 01:01 AM


QUESTION POSTED AT 22/01/2020 - 01:01 AM

Explain how complex fractions can be used to solve problems involving ratios

So when you have ratios, some are unknowns you have to create complex fractions from them. Bring to the same donominator, and solve for x.

Ex: we have this portion:
2 -x
5-45

and we change it into fractions 

2/5 =x/25

2x9/5x9 = x/45

answer would be 18=x

in case of more  complex fractions it may become in handy. 

Your welcome!!

ANSWERED AT 22/01/2020 - 12:44 AM


QUESTION POSTED AT 22/01/2020 - 12:44 AM

Which of these numbers is closest to the golden ratio? 1.16, 1.29, 1.62, 1.98


since the golden ratio its 1.618 I believe it would be 1.62

ANSWERED AT 22/01/2020 - 12:41 AM


QUESTION POSTED AT 22/01/2020 - 12:41 AM

The top of the table is in the shape of an isosceles trapezoid with height 30 inches and bases 48 inches and 36 inches. What is the area of the top of the table?

To find the area of a trapezoid, we use the following formula:

1/2 * (b1 + b2) * h 

b1 and b2 are bases of the trapezoid and h is the height. Knowing this, we can substitute the values we know of the top of the table.

1/2 * (48 + 36) * 30

Now, lets simplify what is in the parentheses.

1/2 * 84 * 30

Next, let's get rid of the fractions 

42 * 30

Finally, let's perform the multiplication to get our final answer.

42 * 30 = 1260

Therefore, the area of the top of the table is 1260 inches².

ANSWERED AT 22/01/2020 - 12:29 AM


QUESTION POSTED AT 22/01/2020 - 12:29 AM

The table represents a function. x -6,7,4,3,-5. y 8,3,-5,-2,12. Which value is an output of the function?

The answer is B  good luck on your quiz!!

ANSWERED AT 22/01/2020 - 12:16 AM


QUESTION POSTED AT 22/01/2020 - 12:16 AM

Divide 4.16 into the ratio 3:5 need answers fast!!!

3:5 =3/5 3/5=4.16/x using cross multiplication, 5(4.15)=3(x) 20.8=3x x=108/15 thus, 4.16÷104/15 =3/5

ANSWERED AT 22/01/2020 - 12:13 AM


QUESTION POSTED AT 22/01/2020 - 12:13 AM

The figures are similar. 15:18 or 5:6. Find the ratio of their perimeters and the ratio of their areas.

Ratio of perimeter (linear measure) is the same as the scale factor (5:6).
Ratio of area (unit squared) is the square of the ratio, namely 5^2:6^2=25:36
Ratio of volume (unit cubed) is the cube of the ratio, namely 5^3:6^3=125:216

ANSWERED AT 22/01/2020 - 12:10 AM


QUESTION POSTED AT 22/01/2020 - 12:10 AM

What makes a table linear

What makes the classroom table or a standard table is its solid edge. Linear is defined as anything that is straight or anything that do not have a curve. A table has a straight edge in its every side does it is considered to be the perfect example of linear.

ANSWERED AT 21/01/2020 - 11:42 PM


QUESTION POSTED AT 21/01/2020 - 11:42 PM

Sarah rolled a fair six-sided die 24 times. The table below shows the number of times each number was rolled: Number Cube Experiment Number on the Cube Number of Times Appeared 1 6 2 4 3 0 4 9 5 3 6 2 According to the results in the chart, what is the experimental probability of getting an even number on the die? fraction 9 over 24 fraction 10 over 24 fraction 15 over 24 fraction 16 over 24

The correct answer would be Probability 15/24

To find this answer just look at the times it appeared on each even number and add them all up and it would be 15 and of course she did this course 24 times so in result it would be 15/24

-Thanks and Have a good day <3

ANSWERED AT 21/01/2020 - 11:41 PM


QUESTION POSTED AT 21/01/2020 - 11:41 PM

What logarithmic function represents the data in the table?.

  x   | f(x)
 25  |  2
125 |  3 
625 |  4

From my research, the above table belongs to the question. The values in x show increasing exponential values of 5, where:

5^2 = 25
5^3 = 125
5^4 = 625

As for the case of f(x), they are the values of the powers. So the logarithmic function that would explain the values of x and f(x) would be:

A base-5 function:
f(x) = log5 x

ANSWERED AT 21/01/2020 - 07:36 PM


QUESTION POSTED AT 21/01/2020 - 07:36 PM

A Ferris Wheel 22.0m in diameter rotates once every 12.5s. What is the ratio of a persons apperenet weight to her real weight (a.) at the top, and (b) at the bottom?

Apparent weight: N = mg - F_up

So basically, you have two forces acting on the body - the force of gravity pulling it down, and the seat pushing it up.


The net force, F = m*a, and we're going to have to use centripetal acceleration in this problem, since it's a Ferris wheel.


So, centripetal acceleration is:

a = w^2 * r (w is omega in this case),

where w = 2pi/t

Ntop = m*(g - 2*Pi^2*d/T^2) 
Nbottom = m*(g + 2*Pi^2*d/T^2) 

We are interested in the ratio of weight (gondola reference frame weight to weight when on the ground): 

Ntop/(m*g) = m*(g - 2*Pi^2*d/T^2)/(m*g) 
Nbottom/(m*g) = m*(g + 2*Pi^2*d/T^2)/(m*g) 

Simplify: 
Ntop/(m*g) = 1 - 2*Pi^2*d/(g*T^2) 
Nbottom/(m*g) = 1 + 2*Pi^2*d/(g*T^2) 

Data: 
d:=22 m; T:=12.5 sec; g:=9.8 N/kg; 

Results: 
Ntop/(m*g) = 71.64%.
Nbottom/(m*g) = 128.4%

ANSWERED AT 21/01/2020 - 06:09 PM


QUESTION POSTED AT 21/01/2020 - 06:09 PM

The area of the conference table in Mr. Nathan’s office must be no more than 175 ft2. If the length of the table is 18 ft more than the width, x, which interval can be the possible widths?. .

Width = x
Length = x+18

Assuming the table is rectangular:
Area = x(x + 18)

Therefore:
x(x + 18) ≤ 175
x^2 + 18x 
≤ 175

Using completing the square method:
x^2 + 18x + 81 
≤ 175 + 81
(x + 9)^2 
≤ 256
|x + 9| 
≤ sqrt(256)
|x + 9| 
≤ +-16
-16 
≤ x + 9 ≤ 16
-16 - 9 ≤ x ≤ 16 - 9
-25 ≤ x ≤ 7

But x > 0 (there are no negative measurements):

Therefore, the interval 0 < x 
≤ 7 represents the possible widths.

ANSWERED AT 21/01/2020 - 05:59 PM


QUESTION POSTED AT 21/01/2020 - 05:59 PM

Refer to the figure below and mark all statements that are true.. A.If the ratio of the arc length to r is 1, then the measure of is 1 radian.. B.If the measure of is 60, then the arc length is r.. C.If the measure of is 1 radian, then the arc length is r.. D.The ratio of arc length to r is always equal to 1.

From my research, the figure related to this image has a circle with a marked sector. The sector's radius is labeled r, and the angle labeled theta. Among the choices, the correct ones are: A. "If the ratio of the arc length to r is 1, then the measure of is 1 radian" and C. "If the measure of is 1 radian, then the arc length is r"

ANSWERED AT 21/01/2020 - 10:49 AM


QUESTION POSTED AT 21/01/2020 - 10:49 AM

Which of the following is a property of inverse variation?. A.. Two variables exhibit inverse variation if they have a constant ratio.. B.. Two variables exhibit inverse variation if their products always equal the same nonzero constant.. C.. Two variables exhibit inverse variation if, when one variable increases, the other variable increases.. D.. Two variables exhibit inverse variation if, when one variable decreases, the other variable decreases..

Answer:

The property which represents a inverse variation is:

                        Option: B

B.. Two variables exhibit inverse variation if their products always equal the same nonzero constant.

Step-by-step explanation:

Two variables i.e. variable  x and variable y are said to be in inverse variation if there exist a non-zero constant k such that:

                     xy=k

Also, with the increase of one variable the other variable decreases i.e. they vary inversely.

ANSWERED AT 21/01/2020 - 10:48 AM


QUESTION POSTED AT 21/01/2020 - 10:48 AM

There are 8 brooms and 6 mops in a janitor's closet. What is the ratio of the number of mops to the total number of brooms and mops?. . A: 4/3 . B:3/7 . C:7/3. D:3/4

B 3:7

If there are 6 mops, and 14 mops and brooms, you get 6:14, which simplifies to 3:7.

ANSWERED AT 21/01/2020 - 10:44 AM


QUESTION POSTED AT 21/01/2020 - 10:44 AM

Express each ratio as a fraction in simplest form. . 12 : 36

To convert a ratio to a fraction, we just make the first number in the ratio the numerator and the second number in the ratio the denominator.

12 : 36 = 12/36

When simplifying fractions, you find factors that the numerator and denominators share, and then divide both by this factor.

The numbers 12 and 36 both share a factor of 12.  Thus, to simplify 12/36, we should divide it by 12/12.

12/36 ÷ 12/12 = 1/3 

Therefore,  the ratio 12 : 36 as a fraction in simplest form is 1/3.

Hope this helps!

ANSWERED AT 21/01/2020 - 10:35 AM


QUESTION POSTED AT 21/01/2020 - 10:35 AM