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viva [34]
3 years ago
15

When the Slowpoke Marathon began, the ratio of runners to joggers was 2 to 19. A total of 4200 participants began the race (each

either a runner or a jogger, but not both), but 450 joggers dropped out of the race along the way. Out of the remaining participants, who are runners, 16 % of them dropped out of the race. If everyone else finished the race, then what was the simplified ratio of runners to joggers among those who finished the race?
Mathematics
2 answers:
NeTakaya3 years ago
8 0

Answer:

  168 : 1675

Step-by-step explanation:

At the beginning of the race, the number of ratio units was 2+19 = 21, so each stands for 4200/21 = 200 participants. Then there were ...

  • 2×200 = 400 runners
  • 19×200 = 3800 joggers

At the end of the race, there were 450 fewer joggers, so ...

  3800 -450 = 3350 . . . joggers

16% of the 400 runners is 64 runners, so with that many dropping out, the remaining number of runners was ...

  400 -64 = 336

So, at the end of the race the ratio of runners to joggers was ...

  336 : 3350 = 168 : 1675

marin [14]3 years ago
7 0

Answer:

168 : 1675

Step-by-step explanation:

2/21 × 4200 = 400 runners

19/21 × 4200 = 3800 joggers

3800 - 450 = 3350 joggers

400 - 16%(400) = 336 runners

336 : 3350

168 : 1675

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1 – 7k + 3k 2 + 10k + 7 – 5k 2
Katyanochek1 [597]

1) The variables are "k"

2) There are 4 terms

3) The coefficients are k

4) The constants are -7, 3, 10, -5

5) The like terms is -7k, 3k, 10k, -5k

The answers are pretty direct but, hope this answers your question.

Have a great day/night!

8 0
2 years ago
Read 2 more answers
What is the answer??????
dexar [7]

Answer:

38 5/28

Step-by-step explanation:

Well start with the whole numbers 24 and 13 This is adding so that means everything has to be added together. 13+24=37 Now, lets go the fractions.

Find the LCD (Least Common Denominator)  of 3/4 and 3/7 and rewrite to solve with the equivalent fractions. (remember the Denominator is the BOTTOM PART of the Fraction. Such as the 4 in 3/4.)  

LCD = 28

21/28 + 12/28 = 33/28 which can be simplified to 1 5/28. Combining the whole and fraction parts 37 + 1 + 5/28 = 38 5/28 And that will be your answer. Another way you can do this is

converting mixed numbers to fractions Meaning put them in improper form where the numerator (the top number of a fraction is bigger than the denominator such as 4/3) , our initial equation becomes, 99/4 + 94/7

Applying the fractions formula for addition,

(99×7) + (94×4) / 4×7

= 693+376 / 28 =  

= 1069/ 28

Simplifying 1069/28, the answer is

= 38 5/28

And one more thing. An easier way to make a mixed number a improper fraction is the multiply the denominator by the whole number then add the numerator and whatever the denominator is it stays for example

38 5/28.

28 times 38 = 1064 then add the 5 and you get 1069! But we aren't done yet, the denominator was 28 so that means the full answer is 1069/28 and that is the Improper fraction form!

Hope this helps! (sorry I took so long)

~R.C aka dj

 

6 0
3 years ago
2: how many years are in 210 months? Show work.
-BARSIC- [3]
2: 17.5 years. Work; 12 months in one year, 210 months divided by 12 months= 17.5 years.
5 0
3 years ago
I have no clue how to solve this.
expeople1 [14]

Answer: 36.6

Step-by-step explanation: 2x+1+3x-4=180

add 2 & 3 to get 5x

subtract 1 from 1 & 180
so u would have 5x-4=179

+4 to 179

then 5x=183

divide by 5

x=36.6

hope it helps

7 0
2 years ago
Is x=15 a function?​
Mama L [17]

Answer:

yes i do believe so

Step-by-step explanation:

7 0
3 years ago
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