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
ankoles [38]
3 years ago
8

Solve the proportion

Mathematics
1 answer:
mario62 [17]3 years ago
8 0

Answer:

\boxed{\sf x = 5}

Step-by-step explanation:

\sf Solve  \: for  \: x  \: over  \: the  \: real \:  numbers:  \\ \sf \implies  \frac{2}{x - 3}   =  \frac{5}{x}  \\  \\  \sf Take  \: the \:  reciprocal  \: of  \: both \:  sides:  \\ \sf \implies  \frac{x - 3}{2}  =  \frac{x}{5}  \\  \\  \sf Expand  \: out \:  terms \:  of \:  the \:  left  \: hand \:  side:  \\  \\ \sf \implies \frac{x}{2}  -  \frac{3}{2}  =  \frac{x}{5}  \\  \\  \sf Subtract \:  \frac{x}{5}   -  \frac{3}{2}  \: from  \: both  \: sides: \\  \sf \implies \frac{x}{2}  -  \frac{3}{2} - ( \frac{x}{5}   -  \frac{3}{2} ) =  \frac{x}{5} - ( \frac{x}{5}  -  \frac{3}{2} ) \\  \\  \sf \implies \frac{x}{2}  -  \frac{3}{2} -  \frac{x}{5}    +   \frac{3}{2} =  \frac{x}{5} -  \frac{x}{5}  +  \frac{3}{2}  \\  \\  \sf \frac{x}{5}  -  \frac{x}{5}  = 0 :  \\  \sf \implies \frac{x}{2}  -  \frac{x}{5}  -  \frac{3}{2}  +  \frac{3}{2}  =  \frac{3}{2}  \\  \\  \sf  \frac{3}{2}   -   \frac{3}{2}   = 0:  \\  \sf \implies \frac{x}{2}  -  \frac{x}{5}  =  \frac{3}{2}   \\  \\ \sf \frac{x}{2}  -  \frac{x}{5} =  \frac{5x - 2x}{10}  =  \frac{3x}{10} :  \\   \sf \implies \frac{3x}{10}  =  \frac{3}{2}   \\  \\ \sf Multiply \:  both  \: sides \:  by \:  \frac{10}{3}  : \\   \sf \implies \frac{3x}{10}  \times  \frac{10}{3}  =  \frac{3}{2 }  \times  \frac{10}{3}   \\  \\ \sf \frac{3x}{10}  \times  \frac{10}{3}  =   \cancel{\frac{3}{10} } \times( x) \times  \cancel{ \frac{10}{3} } = x :  \\  \sf \implies x =  \frac{3}{2}  \times  \frac{10}{3} \\  \\   \sf  \frac{3}{2}  \times  \frac{10}{3}  = \cancel{ \frac{3}{2} }  \times \cancel{ \frac{3}{2} }  \times 5 :   \\ \sf \implies x = 5

You might be interested in
Help please!
bagirrra123 [75]

(d):  y = mx+n

m = -2/3 ⇒ y = (-2/3)x +n

A(-4,  6) ∈ d  ⇒ 6 = (-2/3)·(-4) +n ⇒ 6 = 8/3 +n ⇒

⇒ n = 6 - 8/3 ⇒ n = 10/3

Now, we have:

y = (-2/3)x +10/3


6 0
3 years ago
Ini apa we jawabannya pelasee​
kupik [55]

Answer:

<h3></h3><h2><u>kualitas terjemahannya mungkin tidak bagus. Jadi lihat 2 baris terakhir jika Anda tidak mengerti.</u></h2>

Jadi jumlah derajat tidak masalah. Mereka masih akan menempuh jarak yang sama.

Karena Anda mengatakan bahwa ekspres Marina berjalan pada 40 km / jam dan kami melakukan 2 jam. 40 * 2 = 80 km. Untuk Dumai Anda melakukan hal yang sama, 48 * 2 = 96.

Marina berjalan sejauh 80 km

Dumai berjarak 96 km

8 0
3 years ago
The sum of three consecutive even integers is 36. Let X represent the first integer X plus to represent the second integer and X
tatuchka [14]

x,\ x+2,\ x+4-\text{three consecutive even integers}\\\\\text{The equation:}\\\\x+(x+2)+(x+4)=36\\\\3x+6=36\ \ \ \ |-6\\\\3x=30\ \ \ \ |:3\\\\x=10\\x+2=12\\x+4=14

6 0
3 years ago
Read 2 more answers
The relationship between 650 and 65
Brrunno [24]

Answer:

The ratio is 10 : 1, or 10 to 1

Step-by-step explanation:

8 0
3 years ago
If the diameter of the small pizza is 8 inches, what’s the pizza’s area in square inches?
abruzzese [7]

Answer:

Step-by-step explanation:\pix8x8=201.06192983square inches

7 0
3 years ago
Read 2 more answers
Other questions:
  • The probability of an event A occurring is 0.73. Determine . P(A) a)0.73 b)0.00 c)0.27 d)1.00
    10·2 answers
  • (!!15 points!!)<br> Find the measure of arc BDC
    11·2 answers
  • Lavonne sold 4 times as many raffle tickets as kenneth. lavonne sold 56 raffle tickets. how many tickets did kenneth sell?
    5·2 answers
  • Convert the measurement 479cm
    6·2 answers
  • The dot plot represents the prices of different brands of chocolate bars.
    5·2 answers
  • What is 4/11 ÷ 7/8 equal too
    15·1 answer
  • A rectangle has a length of 2 + 7 and a width of 3a + 8.
    8·1 answer
  • Whats is 3(x + 2)<br> May give a Brainleist to the best answerers<br> 2 people
    12·2 answers
  • Find the probability that a single randomly selected value is greater than 204.3. Round your answer to four decimal places.
    13·1 answer
  • Sample response: there is a common ratio of 2/3 between the height of the ball at each bounce. so, the bounce heights form a geo
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!