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
Bezzdna [24]
3 years ago
9

Solve the rational equation 8/x+1/5=3/x

Mathematics
1 answer:
Natali5045456 [20]3 years ago
7 0
We are going to solve the rational equation \frac{8}{x+ \frac{1}{5} } = \frac{3}{x}

Step 1. Simplify the denominator of the left hand side of the equation:
\frac{8}{x+ \frac{1}{5} } = \frac{3}{x}
\frac{8}{ \frac{5x+1}{5} } = \frac{3}{x}
\frac{40}{5x+1} = \frac{3}{x}

Step 2. Multiply both sides of the equation by (5x+1) and x:
\frac{40}{5x+1}(5x+1)(x) = \frac{3}{x}(5x+1)(x)
40x=3(5x+1)
40x=15x+3

Step 3. Subtract 15x from both sides of the equation:
40x-15x=15x-15x+3
25x=3

Step 4. Divide both sides of the equation by 25:
\frac{25x}{25} = \frac{3}{25}
x= \frac{3}{25}

We can conclude that the solution of the rational equation is x= \frac{3}{25}
You might be interested in
SHOW ALL WORK OR WILL BE DELETED BY ME :) :) :) :) :) :) THANK YOU!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
aleksklad [387]
We know that we have to m<span>ake a down payment of $1500 and finance the rest of $20000 at a 1.9% interest rate, making equal monthly payments for 5 years. Our first step to solve this problem would be to convert 5 years into months. 

1 year = 12 months 

12 * 5 = 60 months 

Therefore, in 5 years there are 60 months. 

Now lets solve this problem step by step. 

Subtract the down payment from $20,000

</span>$20000-$1500=$18500

Multiply the remaining number by the interest rate. 

$18500 *1.9 = $35150 

Divide 35150 by number of months in 5 years (60)

$35150 / 60 = $585 

<span>Therefore, you have to pay $585 per month.</span>
6 0
3 years ago
Folds - Circle Cliffs, UT. Both monoclines and anticlines uplift and deform rock layers such that when eroded, certain ages of r
DIA [1.3K]

Answer:the relative ages of the rocks exposed in the circle cliff area are given below.

1. older rocks are exposed in the center and younger rocks in the flanking flatirons.

2. younger rocks are exposed in the center and older rocks in the flanking flatirons.

Step-by-step explanation: this is because whenever older rocks are exposed in circle cliffs, exposure occur at the center while younger rocks will be exposed in the flanking flatirons at this time.

2. But when younger rocks are exposed in contrast to the older rocks, these younger rocks are exposed at the center while the older ones receive exposure at the flanking flatirons.

Note that both cases interchange, exposure of a particular rock occur at the center and the next category of rock receive theirs at flanking flatirons.

7 0
3 years ago
Ellie has 3 pound of milk. She gives 1/2 to her friends equally. How many does ellie have now.
gregori [183]
3/2= 1.5 pounds of milk
7 0
3 years ago
Read 2 more answers
You buy a used car listed as $ 10,000 at a discount of 10 percent. However, you also pay 10 percent sales tax. Thus you end up w
castortr0y [4]
$9,900

10% off of 10,000 is 9,000

10% more than 9,000 is 9,900
8 0
3 years ago
Read 2 more answers
If the smallest angle of a triangle is 20° and it is included between sides of 4 and 7, then (to the nearest tenth) the smallest
lawyer [7]

Answer:

3.5

Step-by-step explanation:

The smallest side of a triangle is formed by the smallest angle in the triangle.

To find the side opposite (formed by) the 20 degree angle, we can use the Law of Cosines. The Law of Cosines states that for any triangle, c^2=a^2+b^2-ab\cos \gamma, where a, b, and c are the three sides of the triangle and \gamma is the angle opposite to c.

Let c be the side opposite to the 20 degree angle.

Assign variables:

  • a\implies 4
  • b\implies 7
  • \gamma \implies 20^{\circ}

Substituting these variables, we get:

c^2=4^2+7^2-2(4)(7)\cos 20^{\circ},\\c^2=16+49-56\cos 20^{\circ},\\c^2=12.377213236,\\c=\sqrt{12.377213236}=3.51812638147\approx \boxed{3.5}

Therefore, the shortest side of this triangle is 3.5.

5 0
3 years ago
Other questions:
  • Banananana help me i need you
    9·1 answer
  • How do you write (16a^6)^(3/4) in radical form?
    5·1 answer
  • 4200 fans increased by 0.5%
    10·1 answer
  • 650g:3.5kg simplest form
    9·2 answers
  • A group of 5 friends shares 35 pieces of candy equally. How many pieces of candy does each friend receive?
    10·1 answer
  • Please answer this question now in two minutes
    12·2 answers
  • Find the surface area of the cone whose radius and height are 2cm and 4cm respectively
    14·1 answer
  • The perimeter of the garden is 10x + 8. find the missing side length
    11·1 answer
  • What’s the answer to this question? i need your help<br> -2(-7m - 4) + 1
    5·2 answers
  • Kyra will toss a number cube that has faces numbered 1 through 6. What is the probability that the cube will land with an odd nu
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!