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They represent rational numbers.

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3y ago

that both of them are multiplied by 2

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Q: What can you say about the values of the ratios in the ratio table?
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What is ratio and proportion?

A ratio, similar to a proportion, is the value of one number or measurement in relation to another, and is often symbolized as x:y, x/y, or "x to y." Conceptually, ratios can be thought of as fractions and are often simplified the same way. For instance, if a cocktail recipe calls for 2 oz. of liquor for every 4 oz. of juice, the ratio of liquor to juice is 2:4, 2/4, or "2 to 4." However, 2:4 will almost always be simplified, in a similar way that fractions are, and written as 1:2. The main difference between the simplification methods of ratios vs. fractions is that for fractions, a value such as 10/6 will often be reduced to 1 2/3, whereas ratios will never pull an integer out of a fraction like that. In this particular case, the ratio would be 5:3, 5/3, or "5 to 3," not 1 2/3:3. The subtle, but meaningful difference in the usage of the terms proportion and ratio is that proportions often imply the combined totality of the two values or measurements you're relating as opposed to ratios, which are used to describe the values' relative independence. For example, you would say, "equal proportions," "directly proportional," and "inversely proportional," but you wouldn't say, "equal ratios," "directly rational," or "inversely rational."


The y axis values increases as the x axis values increase how is this shown on a graph and table?

On a graph it is shown by a line that goes from the bottom left towards the top right. There are fewer conventions about presenting data in a table and it is not possible to say how it might be shown. One possibility is that there is a column of y values and a column of x values. And both increase (decrease) together.


What is the all the sides for a volume of 500cm3 of a rectangle?

Well, you can't answer this question unless you know the ratios of the sides. And when I say that, I mean all the ratios.Now, if you're talking about a cube, then it's simply the cube root of the volume, or approximately 7.937 cm.That's...7.937 cm.If you have the ratios, say 2:50:5, then simply designate a variable, let's say "a". Then multiply 2a by 50a by 5a and set it equal to 500. Solve for "a", (it's 1). Then multiply by your ratio coefficients, which are 2, 5, and 5. You should get 2 by 50 by 5 centimeters.


What is graphing proportions?

Graphing proportions is to take two ratios and plot them on an (x,y) coordinate plane. You need to be consistent with your labeling. If you use the numerator of one ratio as your x coordinate, then the numerator of the other ratio must be the 2nd x coordinate. You can graph as many of these points as are given. If your ratio's are proportional then you will have a straight line. If it is not a straight line when graphed your ratios are not proportional.


What is a two term ratio?

We may speak of two term and three or more term ratios. There is a big difference. Two term ratios may be identified with fractions. That identification may justify (I am not a historian and try to refrain from making remarks on the history of ideas in mathematics) calling unsigned and then signed fractions, rational numbers.In the discussion of maps, scale factor (the relation between actual distance and distance on the map) may be expressed as a ratio or fraction.Two term ratios may be called binary ratios.What is a two term ratio?We read and declare A:B as the ratio A to B. We say one ratio A:B is the same as another ratio C:D when and only when the cross products AD = BC. Equality of two-term ratiosWe write A:B :: C:D when and only when AD = CD and read A:B :: C:D as the ratio A:C and C:D are equal. We could use the equal sign = in place of the old fashioned four dot symbol ::. Convention: The ratio notation A:B appears when and only when the scaling properties of the first and second term are important.Two Term Ratios and FractionsNow the equality condition for ratios AD = BC holds when and only whenAD BD=BCBDwhich in turn holds when and when onlyAB=CDSo two ratios A:B and C:D are equal or equivalent when and only when the corresponding fractions (or compound fractions)ABandCDare equal or equivalent. So equality of two term ratios A:B and C:D may be cast as a comparision of fractionsABandCDDue to this correspondence, fractions where the numerators and denominators are both whole numbers are also called ratios.Rational numbers may be thought of as fractions whose numerators and denominators are provided by integers instead of whole numbers.Identification of Fractions and Binary (two-term) RatiosIn many places around the world, the fractionABis called a ratio, and no difference is emphasized between the concept of a ratio A:B and the concept of a fraction. Even I will call a fraction a ratio, or vice-versa. Reasoning involving equivalent ratios written as A:B can also be done with equivalent fractions written asABProportionality of Numerators and Denominators Or the first and second term in a ratioDirect Proportionality: A number or quantity Z is directly proportional to another quantity X in several circumstances when and only when the quotient Z ÷ X = Z/X has a constant value k,.or equivalently, there is a constant k such that Z = k X. That is in each instance where we find or measure the value of X, the value of Z will be kX.Fractions and Ratios scale in the same way. Therefore A:B = M:N when and only whenMN=ABare equal when and only when the first term M of the ratio M:NM=[AB]N=kNis proportional to the second term N in the ratio M:NMore on the Identification:Earlier writers identify a ratio m: n (read m to n) of a pair of numbers with the fraction mnThat makes sense when considering m parts of equal value out of n parts of equal value. With this identification two ratios a:b and c:d are equal when and only when the corresponding fractions are equivalentab=cd(1)or have equal values. Here a and d are called the extremes of the ratio;Therefore a:b = c:d implies c:d = a:b. Therefore a:b = c:d implies b:a = c:d (extremes swapped with means) and d:c = b:a as reciprocals of both sides in (1) must be equal.Algebraic forward and backward views of the latter equation implies the following when two ratios a:b and c:d are equal.ad=cb(2)clear denominators in (1) by multiplying by bd. So product of extremes a and d equals the product of meansac=bd(3)introduce denominators in (3) by dividing by cd. Soa:c = b:d. Swapping the means preserves equality.db=ca(3)introduce denominators in (2) by dividing by ba. Sod:c = b:a Swapping the extremes preserves equality.More on Scaling Ratios or raising termsFrom the equivalent fraction raising terms property thatAB=nAnBwe observe A: B = nA : nB when ever the first and second terms in a ratio A:B are multiplied by the same whole number n.Compound fractions have a similar property:AB=qAqBwhenever q is a fraction (or real number). So A: B = qA : qB when ever the first and second terms in a ratio A:B are multiplied by the same fraction or real number q.Differences between fractions A/B and ratios A:BWe can add, subtract, multiply and divide fractions written asA BBut these arithmetic operations are not (to the best of my knowledge) defined for the ratios written as A:B.We may also identify a fraction written asABwith a percentage or real numberRatios of a part to the whole -YESImagine a collection of q = m + n objects divided into disjoint subsets of m and n objects, respectively. Here the identification of the ratio m:q with the fraction mqcorrectly gives the part as a fraction of the whole.Ratios of complementary parts - Problematic, Food for thoughtImagine a collection of q = m + n objects divided into disjoint subsets of m and n objects, respectively. Here the identification of the ratio m:n with the fraction mnis problematic. The ratio may be identified, if we must, with the compound fractionmm+nmm+nAll this is to suggest that a distinction or nuance exists between the ratio written as m:n and the fraction m/n. The question is how. The ratio notation does not distinguish between the ratio of a part to a whole and the ratio of complimentary parts.

Related questions

What is ratio and proportion?

A ratio, similar to a proportion, is the value of one number or measurement in relation to another, and is often symbolized as x:y, x/y, or "x to y." Conceptually, ratios can be thought of as fractions and are often simplified the same way. For instance, if a cocktail recipe calls for 2 oz. of liquor for every 4 oz. of juice, the ratio of liquor to juice is 2:4, 2/4, or "2 to 4." However, 2:4 will almost always be simplified, in a similar way that fractions are, and written as 1:2. The main difference between the simplification methods of ratios vs. fractions is that for fractions, a value such as 10/6 will often be reduced to 1 2/3, whereas ratios will never pull an integer out of a fraction like that. In this particular case, the ratio would be 5:3, 5/3, or "5 to 3," not 1 2/3:3. The subtle, but meaningful difference in the usage of the terms proportion and ratio is that proportions often imply the combined totality of the two values or measurements you're relating as opposed to ratios, which are used to describe the values' relative independence. For example, you would say, "equal proportions," "directly proportional," and "inversely proportional," but you wouldn't say, "equal ratios," "directly rational," or "inversely rational."


How do you say ratios in spanish?

same word - ratios


Y California bearing ratio is called bearing ratio?

The ratio is a measure of the load causing penetration of some standard value say 2.5 mm or say 5.00 mm. This in turn is a meaure of the bearing capacity of a given soil subgrade within the limits of predecided penetration values. This precisely means it measures the bearing capacity of a given soil sample with respect to some standard known value soil / aggregate sample. Thus it is defined in the form of ratios of loads causing penetration of defined range wrt the known standard value. hence called a bearing ratio.


What ratios are used in hairdressing?

Hairdressing trainees must learn ratio in order to carry out several operations; Mixing colour, there are several ratios used for different manufacturers. Igora for instance use a 1:2 ratio for high lift and 1:1 ratio for normal colouring. Diluting peroxide, if you find yourself with say 40 volume peroxide (12%) and need 20 volume (6%) we would use a ratio of 1:1 but you need to be able to calculate this.


What is the trick for working out ratios and proportion?

the trick for working ratio and proportions out is to,eg, say if there 5 girls in a class and the ratio of how many boys was 5:1 there will be 25 boys because you simply have to do 5x5=25 then simply times it by one .i think


What is the comparison of a rational number and a ratio?

I have no idea what "compersion" means or what you are trying to say. A rational number is so called because it can be expressed as ratio of two integers. Each rational number is a ratio and each ratio is a rational number. However, the relationship is not one of equivalence: each rational number can be represented by infinitely many equivalent ratios.


What is the purpose of using Data Tables?

In Excel it allows you to do analysis based on a formula having one or two values changed to produce a table of various results. It will take values from the first row and first column and use them in a formula. The initial formula is in the cell on the first row and first column, in other words the top left cell of the table. Whatever the formula does, it then uses the values to fill the table. So say you put a formula in the top corner cell which adds two cells. Then you would use the first value on each row and column of the table as values for the formula.In Excel it allows you to do analysis based on a formula having one or two values changed to produce a table of various results. It will take values from the first row and first column and use them in a formula. The initial formula is in the cell on the first row and first column, in other words the top left cell of the table. Whatever the formula does, it then uses the values to fill the table. So say you put a formula in the top corner cell which adds two cells. Then you would use the first value on each row and column of the table as values for the formula.In Excel it allows you to do analysis based on a formula having one or two values changed to produce a table of various results. It will take values from the first row and first column and use them in a formula. The initial formula is in the cell on the first row and first column, in other words the top left cell of the table. Whatever the formula does, it then uses the values to fill the table. So say you put a formula in the top corner cell which adds two cells. Then you would use the first value on each row and column of the table as values for the formula.In Excel it allows you to do analysis based on a formula having one or two values changed to produce a table of various results. It will take values from the first row and first column and use them in a formula. The initial formula is in the cell on the first row and first column, in other words the top left cell of the table. Whatever the formula does, it then uses the values to fill the table. So say you put a formula in the top corner cell which adds two cells. Then you would use the first value on each row and column of the table as values for the formula.In Excel it allows you to do analysis based on a formula having one or two values changed to produce a table of various results. It will take values from the first row and first column and use them in a formula. The initial formula is in the cell on the first row and first column, in other words the top left cell of the table. Whatever the formula does, it then uses the values to fill the table. So say you put a formula in the top corner cell which adds two cells. Then you would use the first value on each row and column of the table as values for the formula.In Excel it allows you to do analysis based on a formula having one or two values changed to produce a table of various results. It will take values from the first row and first column and use them in a formula. The initial formula is in the cell on the first row and first column, in other words the top left cell of the table. Whatever the formula does, it then uses the values to fill the table. So say you put a formula in the top corner cell which adds two cells. Then you would use the first value on each row and column of the table as values for the formula.In Excel it allows you to do analysis based on a formula having one or two values changed to produce a table of various results. It will take values from the first row and first column and use them in a formula. The initial formula is in the cell on the first row and first column, in other words the top left cell of the table. Whatever the formula does, it then uses the values to fill the table. So say you put a formula in the top corner cell which adds two cells. Then you would use the first value on each row and column of the table as values for the formula.In Excel it allows you to do analysis based on a formula having one or two values changed to produce a table of various results. It will take values from the first row and first column and use them in a formula. The initial formula is in the cell on the first row and first column, in other words the top left cell of the table. Whatever the formula does, it then uses the values to fill the table. So say you put a formula in the top corner cell which adds two cells. Then you would use the first value on each row and column of the table as values for the formula.In Excel it allows you to do analysis based on a formula having one or two values changed to produce a table of various results. It will take values from the first row and first column and use them in a formula. The initial formula is in the cell on the first row and first column, in other words the top left cell of the table. Whatever the formula does, it then uses the values to fill the table. So say you put a formula in the top corner cell which adds two cells. Then you would use the first value on each row and column of the table as values for the formula.In Excel it allows you to do analysis based on a formula having one or two values changed to produce a table of various results. It will take values from the first row and first column and use them in a formula. The initial formula is in the cell on the first row and first column, in other words the top left cell of the table. Whatever the formula does, it then uses the values to fill the table. So say you put a formula in the top corner cell which adds two cells. Then you would use the first value on each row and column of the table as values for the formula.In Excel it allows you to do analysis based on a formula having one or two values changed to produce a table of various results. It will take values from the first row and first column and use them in a formula. The initial formula is in the cell on the first row and first column, in other words the top left cell of the table. Whatever the formula does, it then uses the values to fill the table. So say you put a formula in the top corner cell which adds two cells. Then you would use the first value on each row and column of the table as values for the formula.


The y axis values increases as the x axis values increase how is this shown on a graph and table?

On a graph it is shown by a line that goes from the bottom left towards the top right. There are fewer conventions about presenting data in a table and it is not possible to say how it might be shown. One possibility is that there is a column of y values and a column of x values. And both increase (decrease) together.


Are Liquidity Ratios the higher the better?

No. High liquidity ratios may affect the amount of capital that can be invested/used to earn. Let us say in banks, if we increase the liquidity ratio by 10% the bank would have to reduce lending by that 10% to bridge the gap. which in turn would severely affect the banks earnings.


How do you use ratios and proportion with work and hobbies?

In the daily use and creation of explosives and building polly pockets,lets say I have 3 pink barbies and 7 polly pockets that are red the ratio is 20:4


How might financial ratios be used when planning and implementing financial activites?

Financial ratios can be used for comparison • between two or more companies (ex: comparison between ICICI and HDFC Banks) • between two or more industries (ex: comparison between the Banking and Auto industry) • between different time-periods for the same company (ex: comparison on the results of the company in the current financial year and the previous year) • between a single company and the industry performance Ratios are generally meaningless unless we benchmark them against something else. Like say past performance or another company. Ratios of firms that operate in different industries, which face different risks, capital requirements, competition, customer demand etc can be very hard to compare.


What is the ratio for 54 feet to 3 inches?

The conversion between feet and inches are given in conversion table. So,we can say that 1 ft =12 in. 54 ft = 54 X12 in. now,Ratio = 216 :1.