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
Andreyy89
3 years ago
11

The denominator of a fraction is 10 more than its numerator.

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
8 0

The right answer is Option C : 5

Step-by-step explanation:

Let,

The numerator of fraction = x

The denominator of a fraction is 10 more than its numerator.

\frac{x}{x+10}

When 1/3 is added to this fraction,

\frac{x}{x+10}+\frac{1}{3}

the resulting fraction’s denominator is three times the denominator of the original fraction its numerator is 15 less than its denominator

\frac{3(x+10)-15}{3(x+10)}

Therefore, it becomes

\frac{x}{x+10}+\frac{1}{3} = \frac{3(x+10)-15}{3(x+10)}

Taking LCM on left side

\frac{3x+(x+10)}{3(x+10)}=\frac{(3x+30)-15}{3(x+10)}\\\\\frac{3x+x+10}{3(x+10)}=\frac{3x+30-15}{x(x+10)}\\\\\frac{4x+10}{3(x+10)}=\frac{3x+15}{3(x+10)}

Multiplying both sides by 3(x+10)

3(x+10)*\frac{4x+10}{3(x+10)}=\frac{3x+15}{3(x+10)}*3(x+10)\\4x+10=3x+15\\4x-3x=15-10\\x=5

The numerator of original fraction is 5.

The right answer is Option C : 5

Keywords: fraction, addition

Learn more about fractions at:

  • brainly.com/question/11207748
  • brainly.com/question/11280112

#LearnwithBrainly

You might be interested in
Alexis has 32 2/5 ounces of beads. How many necklaces can she make if each uses 2 7/10 ounces of beads?
love history [14]
32 2/5 ÷ 2 7/10 let's turn above into improper fractions: 32 2/5 ----> 162/5 2 7/10 -----> 27/10 so, 162/5 ÷ 27/10 -------> 162/5 * 10/27 = 12 necklaces
6 0
2 years ago
Read 2 more answers
Which shape has four congruent sides and two sets of parallel sides?
Nonamiya [84]

Answer:

a square

Step-by-step explanation:

8 0
3 years ago
Siri am I a mix of recipe that calls for 1 1/2 cups of flour and 3/4 to get butter Jeremiah uses three sticks of butter how many
Inga [223]

Answer:

6 cups

Step-by-step explanation:

jeremiah 4× the recipe

3/4×4=3

so 1 1/2×4=6

8 0
3 years ago
Twenty times y is at most 100 in interval notation
DiKsa [7]

Answer:

y\in (-\infty ,5]

Step-by-step explanation:

In this problem, we need to write "Twenty times y is at most 100 in interval notation ".

20 times y means, 20y

Atmost means an inequality which is \le

ATQ,

20\times y\le 100

i.e.

20y\le 100\\\\y\le 5

We can also write it as :

y\in (-\infty ,5]

Hence, the required interval notation is y\in (-\infty ,5].

7 0
3 years ago
PLEASE HELP ASAP!!
koban [17]

Answer:

1200

Step-by-step explanation:

since the first week has 75 doubling it is 150 doubling that is 300 doubling that is 600 doubling that for the final week is 1200.

7 0
2 years ago
Other questions:
  • Worth 80 points!! It's alot for me to understand and i wanna get it right someone help?
    10·1 answer
  • 2^x+5 = 3^1-x use logarithms to solve the exponential equation. round answer to 3 decimal places.
    13·2 answers
  • PLEASE HELP AS SOON AS POSSIBLE THANK YOU!!
    5·1 answer
  • I really need help!!!
    5·1 answer
  • Pls helppp I will mark brainlist if correct !! :)
    15·1 answer
  • use vectors to decide whether the triangle with vertices p(1,-3,-2), Q(2,0,4), R(6,-2,-5) is right-angled.
    8·1 answer
  • the direction angle for vectors 135° the X component of the vector is -3 what is the Ywhat is what what is the Y component of th
    10·1 answer
  • Only do question 4<br><br> 50 points<br><br> Topic: Percentage
    6·1 answer
  • Please help. How many play sports year round? ​
    11·1 answer
  • X=<img src="https://tex.z-dn.net/?f=%5Cfrac%7B2n%2B6%7D%7Bn-2%7D" id="TexFormula1" title="\frac{2n+6}{n-2}" alt="\frac{2n+6}{n-2
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!