Mathematics, 17.09.2020 14:01 brayden2275

10 gallons divided by 17 people

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10/17 equals a very long decimal number.
You can either divide it until you get three digits after the decimal point and then round the number [i.e. 10/17 = 0.588 (but you round it) to equal 0.59]. Keep in mind that the actual decimal is going to be much longer if you keep dividing. Another way you could divide 10 by 17, would be if you did it like this: you write out 17 divided by 10, then you put a decimal point on the top, and bring down a zero, making it 17 divided by 100. Then you write 5 on front of the decimal point on the top and deduct 85 from 100 (17x5 = 85). Then you have a remainder of 15. Then you bring down another 0, (from the decimal) to make it 150. From 150 you will deduct 136 because that is the closest number, 17 goes into 150 8 times (8x17 = 136) and you have 14 left as remainder. Now you already have two digits on front of your decimal point, so you can just write 14/17 in fraction form on front of you two decimal digits >> 0.58 and 14/17 in fraction form. This is also a valid answer, and is simpler to solve then finding all the whole decimal, so I recommend using this method.

Answer from: Quest

step-by-step explanation:

Answer from: Quest

when functions are first introduced, you will probably have some simplistic "functions" and relations to deal with, usually being just sets of points. these won't be terribly useful or interesting functions and relations, but your text wants you to get the idea of what the domain and range of a function are. small sets of points are generally the simplest sorts of relations, so your book starts with those.

step-by-step explanation:

state the domain and range of the following relation. is the relation a function?

{(2, –3), (4, 6), (3, –1), (6, 6), (2, 3)}

the above list of points, being a relationship between certain x's and certain y's, is a relation. the domain is all the x-values, and the range is all the y-values. to give the domain and the range, i just list the values without duplication:

domain: {2, 3, 4, 6}

range: {–3, –1, 3, 6}

(it is customary to list these values in numerical order, but it is not required. sets are called "unordered lists", so you can list the numbers in any order you feel like. just don't duplicate: technically, repetitions are okay in sets, but most instructors would count off for this.)

while the given set does indeed represent a relation (because x's and y's are being related to each other), the set they gave me contains two points with the same x-value: (2, –3) and (2, 3). since x = 2 gives me two possible destinations (that is, two possible y-values), then this relation is not a function.

note that all i had to do to check whether the relation was a function was to look for duplicate x-values. if you find any duplicate x-values, then the different y-values mean that you do not have a function. remember: for a relation to be a function, each x-value has to go to one, and only one, y-value.

state the domain and range of the following relation. is the relation a function?

{(–3, 5), (–2, 5), (–1, 5), (0, 5), (1, 5), (2, 5)}

i'll just list the x-values for the domain and the y-values for the range:

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