Quick only 5 minutes to answer! Question: Tyler and Kiran each started running at a constant speed at the same time. Tyler ran 4,200 meters in 30 minutes and Kiran ran 6,300 meters in 1/2 hour. Eventually, Kiran ran 1 kilometer (1000 meters) more than Tyler. How much time did it take for this to happen?
(I'll give 12 points and I'll name you brainlist.

14 and 2/7 minutes, or 100/7 minutes

Step-by-step explanation:

To begin with, supposed the rate at which Tyler and Kiran are running are variables T and K. We can come up with the equations

30T= 4,200 and

30K= 6,300.

Where 30 is the number of minutes, multiplied by the rate at which they are running to equal the total distance ran. We can isolate the variables by dividing both sides of both equations by 30, resulting in Tyler's speed of 140 meters per minute and Kiran's speed of 210 meters per minute.

We can then plug these values into a final equation where x is the amount of time taken for Kiran to run 1 km more than Tyler

We end up with this: 210x= 140x+1000

Solve first by subtracting 140x from 210x to get 70x, and then divide both sides by 70. This isolates x and you get a final answer of 14 2/7 minutes, or 100/7 minutes

And sorry I couldn't get this to you in the 5 minutes you needed, but I hope this at least helps you understand the concept :')

"a" determine whether sage found the correct quotient. show your work

step-by-step explanation:

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: