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
svetoff [14.1K]
3 years ago
12

The numerator of a fraction is 15 less than twice its denominator. If the numerator is increased by 5 and the denominator is inc

reased by 7, the new fraction will be equal to 2/3. What is the original fraction?
Mathematics
1 answer:
denis-greek [22]3 years ago
7 0

Answer:

  7/11

Step-by-step explanation:

Let d represent the original denominator. Then the original numerator is ...

  2d-15

The new numerator is ...

  (2d-15) +5

and the new denominator is ...

  d+7

The ratio of these is 2/3, so we have ...

  \dfrac{2d-15+5}{d+7}=\dfrac{2}{3}\\\\3(2d-10)=2(d+7) \quad\text{cross multiply}\\\\4d=44 \quad\text{add 30-2d}\\\\d=11\\\\2d-15=2(11)-15=7

The original fraction is 7/11.

You might be interested in
If both cars in Exercise 62 are on one side of the plane and if the angle of depression to one car is 38∘ and that to the other
Sati [7]

The two cars lying on one side of the plane are 50 meters apart.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

let us assume that the height is 100 m. Let d represent the horizontal distance. For depression of 38°, Ф = 90 - 38 = 52°, hence:

tan(52°) = d / 100

d = 128 m

For depression of 52°, Ф = 90 - 52 = 38°, hence:

tan(38°) = d / 100

d = 78 m

Distance apart = 128 - 78 = 50 m.

The two cars lying on one side of the plane are 50 meters apart.

Find out more on equation at: brainly.com/question/2972832

#SPJ1

7 0
2 years ago
Find the volume (inº) of this figure:​
bonufazy [111]

Answer:

50.24

Step-by-step explanation:

you do 4²=16 then you do 16×3.14=50.24

and for further notice volume of a circle is radius to the second power times pi

8 0
3 years ago
What are the important things an 8th grader needs to know about math?
gogolik [260]
Always foucus on the teacher ask help when needed
7 0
3 years ago
Read 2 more answers
Jasmine had a carrot cake with cream cheese frosting for her birthday .she and her friend each ate 1/4 of the cake and jasmine's
zloy xaker [14]
Hey there!

To solve this problem, you first would need to solve for how much of the cake is left after Jasmine, her friend, and Jasmine's brother got their slices. Then, you would need to split the remaining amount in half to get the answer of what each parent ate. We would need to make all of the denominators the same, so let's make all of the fractions out of 12, a common denominator of 3 and 4. 

\frac{12}{12} - \frac{1}{4} - \frac{1}{4} - \frac{1}{3}
\frac{12}{12} - \frac{3}{12} - \frac{3}{12} - \frac{4}{12}
\frac{12}{12} - \frac{10}{12} = \frac{2}{12}

It can then be concluded that each parent ate \frac{1}{12} of the cake, since there was \frac{2}{12} remaining. 

You can check this answer by adding up all of the parts we used in this problem:

\frac{3}{12} + \frac{3}{12} + \frac{4}{12} +  \frac{1}{12} +  \frac{1}{12} = \frac{12}{12}

Hope this helped you out! :-)
3 0
3 years ago
Very important question ☺️​
steposvetlana [31]

Answer:

130° is the correct answer

∠QPR=80°

∠PQR+∠QPR+∠QRP=180°

∠PQR+∠QRP=100°

2(x+y)=100°

x+y=50°

So, in △QOR

x+y+∠QOR=180°

∴∠QOR=180°−50°

=130°

4 0
2 years ago
Read 2 more answers
Other questions:
  • alicia got 60 questions correct on her science test. if she received a score of 75% how many questions were on the test?
    6·1 answer
  • Find the quotient 7/9 divided by 5/6
    12·1 answer
  • Help me. I don't get it :(
    6·1 answer
  • Start at 1 create a pattern that multiplies each number by 2. stop when you have 5 numbers
    10·1 answer
  • A $104,000 selling price with $24,000 down at 81⁄2% for 25 years results in a monthly payment of
    12·2 answers
  • HELP with all these please read instructions :)
    9·2 answers
  • A rectangular pyramid of height 12m measuring 6m and 9m along the base.
    14·1 answer
  • Item 5 Which list shows the absolute values in order from least to greatest? Select each correct answer. |−17.12| , |−17.08| , ∣
    11·1 answer
  • Can you please solve 2x+29+3x - 4
    12·2 answers
  • Help yalllll question is in the pic
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!