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Leto [7]
3 years ago
11

Long division 12p^5+20p^4+18p^2+45p+25/3p+5

Mathematics
1 answer:
lina2011 [118]3 years ago
4 0

Answer:

4p^4+6p+5

Step-by-step explanation:

Given

\frac{12p^5+20p^4+18p^2+45^p+25}{3p+5}

Step 1:

Now Dividing the above Equation our first quotient will be 4p^4 and First remainder will be 18p^2+45p

Step 2:

Now Dividing the First remainder 18p^2+45p with 3p+5

now our second Quotient will be 4p^4+6p and Second remainder will be 15p+25

Step 3:

Now Dividing Second remainder 15p+25 with 3p+5

now our third Quotient will be 4p^4+6p +5 and Remainder will be 0.

\therefore Our Final Answer is 4p^4+6p +5 with remainder 0

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A chemist has one solution that has 50% acid. She has another solution that is 25% acid. How many liters of the 50% acid solutio
Tatiana [17]

Answer:

Step-by-step explanation:

Let's begin by assigning letters to represent our two unknowns:

   x (liters of 25% solution)

   y (liters of 50% solution)

 

Our system of equations will consist of two equations:

   Equation #1 (total volume of solution)

   Equation #2 (total concentration of acid)

 

Our total volume of solution is 10 liters, which can be expressed as the sum of our unknowns:

   Equation #1:  x + y = 10

 

Our total concentration of acid can be expressed as the sum of the individual acid concentrations to make up the concentration of the final solution:

   Equation #2:  (0.25)(x) + (0.50)(y) =

                            (0.40)(10)

 

We can use Equation #1 to express one unknown in terms of the other and then plug that expression into Equation #2 to solve for one of the unknowns:

   x + y = 10

         y = 10 - x

 

Now we'll plug our expression for y in terms of x into Equation #2 and solve for x:

   0.25(x) + 0.50(10 - x) = 0.40(10)

   0.25x + 5 - 0.50x = 4

   -0.25x = 4 - 5

   -0.25x = -1

          x = (-1)/(-0.25)

          x = 4 (liters of 25% solution)

 

Now we'll plug our value for x into Equation #1 and solve for y:

   4 + y = 10

         y  = 10 - 4

         y = 6 (liters of 50% solution)

 

Finally, we will verify the correctness of our answers by plugging these values into Equation #2 to see if the sum of the component acid concentrations equals the final solution concentration:

   0.25(4) + (0.50)(6) = 0.40(10)

   1 + 3 = 4

         4 = 4 (our answers are correct)

8 0
2 years ago
2x = x +3<br> Help pls I can’t do this one
Fudgin [204]

Answer:

x=3

Step-by-step explanation:

Subract the x from the left side and add it to the right side and then you got your answer

3 0
3 years ago
The table shows
lina2011 [118]

Answer:

B, but I may be wrong.

Step-by-step explanation:

7 0
3 years ago
A cable installer charges $45.00 per hour
Nitella [24]

the answer is taco mkay

4 0
3 years ago
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The diagonals of a kite are in the ratio 3 : 2. The area of the kite is 27cm(squared). find the length of both diagonals.
alina1380 [7]
P= 27 \ cm^2 \\ \\P=\frac{1}{2} e * f \\ \\ f =3x , \ e = 2x \\ \\27=\frac{1}{2}*2*3x \\ \\27=3x/:3

x=3 \\ \\ f =3x =3 *3= 9 \ cm \\ \\ \ e = 2x = 2*3 = 6cm



6 0
3 years ago
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