1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
NNADVOKAT [17]
3 years ago
11

Help I’m stuck on this question I’ve been stuck on it for a while I can’t seem to figure it out please help for ten points

Mathematics
1 answer:
Naddika [18.5K]3 years ago
6 0

Answer:

\frac{1}{25}

Step-by-step explanation:

I think what it is trying to say is that it wants the solution to multiplying all of those. The (...) simply means that it wants you to continue that pattern in what you are supposed to be multiplying, but stop at \frac{24}{25}.

That would mean you are technically supposed to be multiplying:

\frac{1}{2}  \frac{2}{3} \frac{3}{4} \frac{4}{5} \frac{5}{6} \frac{6}{7} \frac{7}{8} \frac{8}{9} \frac{9}{10} \frac{10}{11} \frac{11}{12} \frac{12}{13} \frac{13}{14} \frac{14}{15} \frac{15}{16} \frac{16}{17} \frac{17}{18} \frac{18}{19} \frac{19}{20} \frac{20}{21} \frac{21}{22} \frac{22}{23} \frac{23}{24} \frac{24}{25}

That is a lot and unfortunately, none of the individual fractions can be simplified within that. The final answer would be able to be simplified, though.

Multiplying the first four shown: \frac{1}{2}\frac{2}{3} \frac{3}{4} \frac{4}{5} you end up with \frac{24}{120}. Both the numerator (top) and the denominator (bottom) are divisible by 24. Dividing top and bottom would simplify this to \frac{1}{5}.

Now, let's take the next four.

\frac{5}{6}\frac{6}{7} \frac{7}{8} \frac{8}{9} allows you to end up with \frac{1680}{3024}. Both the numerator (top) and the denominator (bottom) are divisible by 336. You are left with \frac{5}{9}.

Now, let's take the next four.

\frac{9}{10}\frac{10}{11} \frac{11}{12} \frac{12}{13}. Multiplying these gives you \frac{11880}{17160}. Both the numerator (top) and the denominator (bottom) are divisible by 1320. You are left with \frac{9}{13}.

Now, let's take the next four.

\frac{13}{14}\frac{14}{15} \frac{15}{16} \frac{16}{17}. Multiplying these gives you \frac{43680}{57120}. Both the numerator (top) and the denominator (bottom) are divisible by 3360. You are left with \frac{13}{17}.

*<em> Although I would continue to say let's take the next four, there appears to be a pattern in the simplification. The numerators we have gotten have all been four less than their denominators, and each numerator has been four more than the last. I cannot be certain, but we only have two sets of four left. If this pattern continues, the simplifications of each should be \frac{17}{21} and \frac{21}{25}. I will continue on for argument's sake, anyways.</em>

The next four are \frac{17}{18}\frac{18}{19} \frac{19}{20} \frac{20}{21}. Multiplying these, you are left with \frac{116280}{143640}. Both the numerator (top) and the denominator (bottom) are divisible by 6840. We are left with\frac{17}{21}. This is the exact guess I had made when following the pattern, and so the next one is most likely going to be the other guess as well.

Our final answer will be \frac{1}{5}\frac{5}{9} \frac{9}{13} \frac{13}{17}\frac{17}{21} \frac{21}{25} all multiplied together. We end up with \frac{208845}{5221125}. Both the numerator (top) and denominator (bottom) are divisible by 208845.

Simplified, your final answer is:  \frac{1}{25}.

* <u>NOTE:</u> that another way to solve this would just be to multiply all numbers from 1-24 together and then 2-25, but you would end up with a very large number that would be just as time consuming to simplify. To get the GCF fast, I used a GCF calculator.

You might be interested in
Evaluate the sum or explain why it diverges: Sigma^infinity_k = 3(-3/2)^k
LenaWriter [7]

Answer:

Step-by-step explanation:

Remember that in the geometric serie if | r | < 1 the serie converges and if | r | ≥1 the serie diverges.

I suppose that the serie starts at 0, so using the geometric serie with r = | \frac{-3}{2} | > 1 the serie diverges.

8 0
3 years ago
Please help me this is my final exam i will give brainlist
Sloan [31]

Answer: C. 4/8 plz mark me brainliest

Step-by-step explanation:

5 0
3 years ago
Please help this is kind of confusing
nikdorinn [45]

Answer:

x=45

Step-by-step explanation:

Because angles that are vertical to each other are congruent that means 2x+6=96

    -6  -6  

2x=90

2(45)=90

8 0
3 years ago
Not hard <br> 2x−4y=14<br> 3y+5x=9
Vinil7 [7]

Answer:

<h3>HLO,,,WE HAVE TO SIMPLIFY OR WE HAVE TO FIND VALUES</h3>
3 0
2 years ago
An office spends $375.00 per month on office supplies.
podryga [215]

Answer:

$51 saved.

Step-by-step explanation:

Well 12% of $425 is found by multiplying

(.12)(425) = $51 saved.

8 0
3 years ago
Other questions:
  • HELP ASAP! GIVING BRAINLIEST!!
    6·1 answer
  • Evaluate each expression if x = 5<br><br> 7x
    12·2 answers
  • Three x plus four equal two y
    15·1 answer
  • Kim is earning money for a trip. She has saved and she earns per hour babysitting. The total amount of money earned (y) after (x
    12·1 answer
  • I need help with number 19 and 20!! Please!
    11·1 answer
  • Mel Company has a net income, before taxes, of $95,000. The treasurer of the company estimates 45 percent of net income will hav
    5·1 answer
  • Review the graph of function f(x), which is defined for –4 &lt; x ≤ 2.
    9·1 answer
  • What is the answer for this question ??
    8·2 answers
  • HELP MARKING BRAINLIEST
    5·1 answer
  • Help........plsplav j h
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!