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
Delvig [45]
3 years ago
9

Show all three ways to write the ratio. For every 12 shirts, I have 18 pants.

Mathematics
1 answer:
Tcecarenko [31]3 years ago
5 0

Answer:

12: 18 (or simplified, 2: 3)

12 to 18 (or simplified, 2 to 3)

12/18 (or simplified, 2/3)

You might be interested in
Find the partial fraction decomposition of the rational expression with prime quadratic factors in the denominator
SpyIntel [72]
\dfrac{5x^4-7x^3-12x^2+6x+21}{(x-3)(x^2-2)^2}=\dfrac{a_1}{x-3}+\dfrac{a_2x+a_3}{x^2-2}+\dfrac{a_4x+a_5}{(x^2-2)^2}
\implies 5x^4-7x^3-12x^2+6x+21=a_1(x^2-2)^2+(a_2x+a_3)(x-3)(x^2-2)+(a_4x+a_5)(x-3)

When x=3, you're left with

147=49a_1\implies a_1=\dfrac{147}{49}=3

When x=\sqrt2 or x=-\sqrt2, you're left with

\begin{cases}17-8\sqrt2=(\sqrt2a_4+a_5)(\sqrt2-3)&\text{for }x=\sqrt2\\17+8\sqrt2=(-\sqrt2a_4+a_5)(-\sqrt2-3)\end{cases}\implies\begin{cases}-5+\sqrt2=\sqrt2a_4+a_5\\-5-\sqrt2=-\sqrt2a_4+a_5\end{cases}

Adding the two equations together gives -10=2a_5, or a_5=-5. Subtracting them gives 2\sqrt2=2\sqrt2a_4, a_4=1.

Now, you have

5x^4-7x^3-12x^2+6x+21=3(x^2-2)^2+(a_2x+a_3)(x-3)(x^2-2)+(x-5)(x-3)
5x^4-7x^3-12x^2+6x+21=3x^4-11x^2-8x+27+(a_2x+a_3)(x-3)(x^2-2)
2x^4-7x^3-x^2+14x-6=(a_2x+a_3)(x-3)(x^2-2)

By just examining the leading and lagging (first and last) terms that would be obtained by expanding the right side, and matching these with the terms on the left side, you would see that a_2x^4=2x^4 and a_3(-3)(-2)=6a_3=-6. These alone tell you that you must have a_2=2 and a_3=-1.

So the partial fraction decomposition is

\dfrac3{x-3}+\dfrac{2x-1}{x^2-2}+\dfrac{x-5}{(x^2-2)^2}
7 0
3 years ago
Pls help with algebra!
Serjik [45]
Part A: This data does represent a function because no value of x is repeated.
Part B: If x = 6 for the relation f(x) = 7x - 15, then f(x) will equal 27. The function f(x) = 7x - 15 will have the greater value
Part C: If f(x) is equal to 6 then x will equal 3
4 0
2 years ago
Solve using quadratic formula. 7x^2-12x+3=0
vazorg [7]
X = (12 +- sqrt (144 -4(7)(3))/14
x = (12 + - sqrt (144 - 84))/14
x = (12 + - sqrt(60))/14
x = (12 + - 2sqrt 15))/14
x = (6 + - sqrt 15) / 7 
4 0
2 years ago
Match each symbol to the appropriate definition. 1. 2. || 3. _I_ (an upside down letter T) a. is parallel to b. is perpendicular
Darina [25.2K]

the upside down T is always perpendicular so the answer is b. :)


5 0
3 years ago
Read 2 more answers
Keith and Michelle went out to dinner. The total cost of the meal, including the tip, came to $53.70. If the combined tip came o
Bond [772]
53.70 - 9.60 = 44.10.  44.10 / 2 = 22.05.  Each friend paid (not including the tip) $22.05. 
3 0
2 years ago
Read 2 more answers
Other questions:
  • The question is how far is Port A from Port by the shortest route?
    6·1 answer
  • PLEASE HELP FAST! UNIT TEST and I NEED A GOOD GRADE.
    7·1 answer
  • Which property is illustrated by the statement<br> (2+3.4)+6=2+(3.4+6)
    8·2 answers
  • Find the coordinates of the vertex
    13·1 answer
  • Use the cumulative normal distribution table to find the z-scores thqt bound the middle of 68% of theje area under the stanrard
    7·1 answer
  • PLS HELP ITS DUE IN AN HOURR!!!!!
    8·1 answer
  • Find angle 1 and angle 2
    11·2 answers
  • Tanika drew a line of best fit on a scatter plot as shown below​
    7·1 answer
  • Which shows the correct substitution of the values a, b, and c from the equation 1 = -2x + 3x² + 1 into the quadratic
    7·1 answer
  • 9-(-0.87)-0.3 will someone please help me I can’t remember how todo this and my kid needs my help!
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!