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
Sheila mixed 3 ounces of blue paint with two ounces of yellow paint she decided to create 20 oz of the same mixture how many oun
ololo11 [35]
3b + 2y = 5g
20g ÷ 5g = 4
4 x 2 = 8
8 oz of yellow paint
8 0
3 years ago
The size of a bicycle is determined by the diameter of the wheel. You want a 22-in bicycle for your birthday. What is the area o
oksian1 [2.3K]

Answer:

The Area of the bicycle wheel=380.182 square inch

Step-by-step explanation:

The formula for calculating the area of a wheel is given by;

A=(πd²)/4

A=Area of the wheel to be calculated

Where π (pie)=3.142,

The wheel size is usually denoted by its diameter (d)

d=diameter of the wheel=22 inches

with the values of π and d given, we can plug them in the formula for calculating Area to determine the area of the bicycle wheel

Substituting the values for π and d in the formula;

A=(πd²)/4=(3.142×22²)/4=380.182 in²

The Area of the bicycle wheel=380.182 in²

6 0
3 years ago
What is g(2) for... question worth 10 points
NISA [10]

Answer:

A 8

Step-by-step explanation:

g(2)= \frac{1}{2}x2^{3}+2x2 = 8

8 0
3 years ago
Complete the comparison 5+4. A.9+1. B.10+0.C.5-4.D.15-4
Genrish500 [490]

Answer:

A.5+4<9+1

B. 5+4<10+0

C. 5+4>5-4

D. 5+4=15-4

Step-by-step explanation:

A. 9<10

B. 9<10

C. 9>1

D9=9

3 0
3 years ago
Read 2 more answers
Can somebody pleaseee help me with my Absolute Value homework? I need help understanding the questions. They don't need long ans
Leno4ka [110]
Yes! i’m really good at absolute value! wanna add me on snap?
7 0
3 years ago
Read 2 more answers
Other questions:
  • Joshua traveled 5 hours from City A to City B. The distance between the cities is 260 miles. First he traveled at the constant s
    11·1 answer
  • I need the correct answer.. Please only answer if you are almost positive that it is correct..
    12·1 answer
  • If sin square theta = 0.75, then cos =
    15·1 answer
  • Which expression is equivalent to the expression (7×2)^7​
    15·1 answer
  • 6,291 DIVIDED BY 3 = ? <br> its easy i know lets see if your smart.
    12·2 answers
  • Please help me with these question.
    8·2 answers
  • Please help 100 points and Brainlist
    15·2 answers
  • Write an expression that models the situation. Ruben has 83 red peppers and g green peppers. What is the total amount of peppers
    9·1 answer
  • I need an answer ASAP!!! Tyyyy
    6·1 answer
  • Sara earns a basic salary of 14250 every month with an additional 12% commission on her sales. If Sara sold items worth AED 2226
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!