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
DedPeter [7]
3 years ago
7

a) The numerator of fraction is 3 less than denominator. If 5 is subtracted from both numerator and denominator, the fraction be

comes 4⁄5. Express the equation algebraically and upload your workout in the google classroom. b) What is the fractional number?
Mathematics
1 answer:
ryzh [129]3 years ago
3 0

Answer: 17/20

Step-by-step explanation:

Let's define:

N =  numerator

D = denominator.

The fraction is N/D.

We know that:

"The numerator of fraction is 3 less than denominator. "

N = D - 3

" If 5 is subtracted from both numerator and denominator, the fraction becomes 4⁄5."

(N - 5)/(D - 5) = 4/5.

Then we have a system of equations of two variables:

N = D - 3

(N - 5)/(D - 5) = 4/5.

The first step to solve this, is to replace the first equation into the second, in that way we can work with only one variable.

(D - 3 - 5)/(D - 5) = 4/5.

Now we can solve this for D.

(D - 8)/(D - 5) = 4/5

D - 8 = (D - 5)*(4/5) = (4/5)*D - 4

D - (4/5)*D = -4 + 8 = 4

(1/5)*D = 4

D = 4*5 = 20

And here we can use the first equation to find the value of N.

N = D - 3 = 20 - 3 = 17

Then our fraction is:

N/D = 17/20

You might be interested in
What is the value of x?
zaharov [31]

Answer: around 47-49

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
When the smaller of two consecutive integers is added to two times the​ larger, the result is 35. Find the integers.
Aleonysh [2.5K]

x+2(x+1)=35

x+2x+2=35

3x=35-2=33

x=33/3=11

smaller number=11

larger number=11+1=12

4 0
3 years ago
Use an inequality symbol to compare -3 +7____-10-2
Damm [24]

Answer:

-3+7 > -10-2

Step-by-step explanation:

-3+7 = +4

-10-2 = -12

∴ +4 > -12

7 0
3 years ago
6w-19 + k when<br> w=8 and k = 2
ddd [48]

Answer:

31.

Step-by-step explanation:

1. Write out the problem.

6w-19 + k; w=8 and k=2

2. Figure out the first part of the problem.

So, if w=8 and 6 and w are next to each other, we should multiply 6*8, which is 48. Next, it says to subtract 19. 48-19=29.

3. Find out what the last part of the problem is.

Since the first part of the problem is 29 and k=2, we should add 29+2=31, which is the final answer.

Hope this helped :)

3 0
3 years ago
Read 2 more answers
What is the value of the expression<br> when x = 12 and p = -4?
goblinko [34]

Answer:

-48

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • Help me please thank you!
    7·1 answer
  • Can someone help?<br><br> I will give brainliest for best and nice answer
    7·1 answer
  • What can an example of this be?​
    11·1 answer
  • Which expression is equivelant to 3(x +6)
    15·1 answer
  • 10x-(8 + 7x)<br> SIMPLIFY IT ASAP PLEASE
    9·2 answers
  • Which expression is equivalent to 9 (4x + 7)? 13.x +7 <br>13x + 16 <br>36.x + 7 <br>36x + 63​
    6·2 answers
  • Which graph is defined by the function given below?
    11·1 answer
  • Please help me asapp
    11·1 answer
  • Pls help me with the question?​
    8·1 answer
  • Use your scratch paper to draw a coordinate plane and plot the following data set: (4,3), (1,2), (9.1), (10,2), (9,10), (1,7),(5
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!