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
Katena32 [7]
3 years ago
12

The ratio of the numerator to the denominator of a fraction is 2 to 3. If both the numerator and the denominator are increased b

y 2, the fraction becomes 3/4. What is the original fraction?
Which of the following systems of equations can be used to solve the problem?
Mathematics
1 answer:
fiasKO [112]3 years ago
5 0
The clues translate to

n/d = 2/3
(n+2)/(d+2) = 3/4

Solving this by cross multiplying both:

3n = 2d
3(d+2) = 4(n+2) => 3d + 6 = 4n + 8

then substituting d = 3/2 n in the second:

9/2n - 4n = 2 => 1/2 n = 2 => n = 4

if n=4 then d = 3/2*4 = 6.

So the original fraction was 4/6
You might be interested in
2x - y = 1<br> 3x - y = 2
Charra [1.4K]

Answer:x=1, y=1

Step-by-step explanation:

2(1)-1=1

3(1)1-1=2

3 0
3 years ago
I can someone how to do this plzzz
Aleonysh [2.5K]
Its D .HOPE IT HELPS !

5 0
3 years ago
Can anyone help with words problems for algebra 1?
Helga [31]

37.)

68-39= 29˙

38.)

29028-282= 28746 ft

3 0
3 years ago
Custumers of a phone company can choose between two service plans for long distance calls. The first plan has a $9 monthly fee a
saul85 [17]
The answer is 350.
<em>
m= minutes</em>

Plan 1:  9+0.13<em>m</em>
Plan 2:  23+0.09<em>m</em>

9+0.13<em>m</em> = 23+0.09<em>m</em>
-9               -9
0.13<em>m</em> = 14+0.09<em>m</em>
-0.09<em>m</em>        -0.09<em>m</em>
0.04<em>m</em>= 14
14÷0.04= 350
<em>m</em>= 350
3 0
3 years ago
Read 2 more answers
Solve the equation 3/y = 4/5
netineya [11]

Step-by-step explanation:

<u>Step 1:  Cross Multiply</u>

\frac{3}{y} = \frac{4}{5}

5(3) = 4(y)

15 = 4y

<u>Step 2:  Divide both sides by 4</u>

15 / 4 = 4y / 4

3.75 = y

Answer:  y = 3.75

4 0
3 years ago
Read 2 more answers
Other questions:
  • Sep 08, 12:33:18 AM
    11·1 answer
  • Lynn is making custom bricks. She combines 39 pounds of water and 48 pounds of brick dust in a mixing bucket. She spills 13 poun
    14·1 answer
  • A set of history exam scores are normally distributed with a mean of 83.2 points and a standard deviation
    12·1 answer
  • Find the exact length of the third side.
    10·2 answers
  • What is the solution to -4l-2x+6l=-24
    15·1 answer
  • HELP QUICK!? Ill give you brainlyest
    15·1 answer
  • Rolling a 6 sided die. Find the probability the number rolled is less than 3 given that it’s a factor of 6.
    8·1 answer
  • URGENT!!!
    10·1 answer
  • What is the range of h?
    9·1 answer
  • What is the y-intercept of the function /(x) = -2/9x + 1/3
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!