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
Viktor [21]
3 years ago
13

Divid 15 into two parts such that the sum of their reciprocal is 3/10

Mathematics
1 answer:
emmasim [6.3K]3 years ago
4 0
Let x and y be the 2 parts of 15 ==> x + y=15 (given)

Reciprocal of x and y ==> 1/x +1/y ==> 1/x + 1/y = 3/10 (given)


Let's solve  1/x + 1/y = 3/10 . Common denominator = 10.x.y (reduce to same denominator)

 ==> (10y+10x)/10xy = 3xy/10xy ==> 10x+10y =3xy

But x+y = 15 , then 10x+10y =150 ==> 150=3xy and xy = 50

Now we have the sum S of the 2 parts that is S = 15 and 
their Product = xy =50
Let's use the quadratic equation for S and P==> X² -SX +P =0
Or X² - 15X + 50=0, Solve for X & you will find:
The 1st part of 15 is 10 & the 2nd part is 5
You might be interested in
Brainliest if correct
dexar [7]

Answer:

w = 9

Step-by-step explanation:

18 + 4w = 6w

6w - 4w = 2w

2w = 18

18/2 = 9

2w/2 = w

w = 9

5 0
2 years ago
Read 2 more answers
5.4= 0.9x<br> A.6.3<br> B. 6<br> C. 7.3<br> D.12
Marat540 [252]

Answer:

5

.

4

=

0

.

9

5.4=0.9x

5.4=0.9x

5

.

4

=

9

1

0

4 0
3 years ago
Read 2 more answers
1/2(2g-3)=-4(g+1) show work please do this ASAP
lozanna [386]
<span><span>1/2<span>(<span>2g−3</span>)</span></span>=<span>−<span>4<span>(g+1)</span></span></span></span>
<span><span>1/2<span>(<span>2g−3</span>)</span></span>=<span>−<span>4<span>(g+1)</span></span></span></span>
<span><span>g+<span>−3/2</span></span>=<span><span>−4g</span>−4</span></span>
<span><span><span>g+<span>−3/2</span></span>+4g</span>=<span><span><span>−4g</span>−4</span>+4g</span></span><span><span>5g+<span>−32</span></span>=−4</span>
5g+−3/2+3/2=−4+3/2
<span><span>
5g</span>=<span>−5/2</span></span>
<span><span>5g/5</span>=<span><span>−52</span>5</span></span><span>
g=<span>−1<span>2

Hoped I helped!</span></span></span>
6 0
3 years ago
Read 2 more answers
How many zeros are in the product (6•5)•10
ASHA 777 [7]
There are 2 zeros in the product.
6*5=30
30*10=300
2 zeros
6 0
3 years ago
Read 2 more answers
Let f(x)=3x .
3241004551 [841]
You are multiplying the 3x by 6 which means c is correct

6 0
3 years ago
Other questions:
  • Carla is a US student. She is purchasing used textbooks, because she is balling on a budget (pro tip: don't ever buy new books)!
    10·1 answer
  • 21. Mickey earned $475 from mowing lawns last summer. He deposited this money in an
    14·1 answer
  • A parallelogram has a base of 12 cm and a height of 8 cm. What is the area of the parallelogram?
    12·1 answer
  • What is 5 -( -9) = ?
    9·2 answers
  • The sum of two numbers is 44 and the difference is 12. What are the numbers
    8·1 answer
  • The inverse variation equation shows the relationship between wavelength in meters, x, and frequency, y.
    9·2 answers
  • An insurance office has 65 employees. If 39 of the employees have cellular​ phones, what portion of the employees do not have ce
    5·2 answers
  • Confusion...help please
    6·1 answer
  • Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!
    13·1 answer
  • Step 1: C = 2r Step 2: 6 = 2r Step 3: r = 6/2 Step 4: r = 3 Step 5: A = 360°/x° × × r^2 Step 6: A = 360°/72° × × (3)^2 Step 7:
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!