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pickupchik [31]
3 years ago
7

Perform the operation. 4x-y/3 - x+y/2

Mathematics
1 answer:
Elanso [62]3 years ago
4 0

Answer:

5(x-y)/6

Step-by-step explanation:

(4x-y)/3 - (x+y)/2

We have to find the Least common multiple to simplify the operation.

(The Least common multiple of 3 and 2 = 3*2 = 6)

[2(4x-y)-3(x+y)]/6

(8x-2y-3x-3y)/6

5x-5y/6

5(x-y)/6

The rule of subtracting the fraction, including the constant, is to do in a simplification method.

Therefore, the answer is 5(x-y)/6

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Sholpan [36]
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4 0
2 years ago
Tonya plans to join a fitness club. She researched the costs to join different clubs in her area and found that there is a linea
Ne4ueva [31]

Answer: 1 club - Club 2

Step-by-step explanation:

You can find the monthly rates by deducting the cost at 12 months from the cost at 24 months and dividing it by 12.

Club 1                                         Club 2                                 Club 3

= (432 - 216) / 12                       = (390 - 210) / 12                 = (504 - 252) / 12

= $18                                          = $15                                   = $21

Multiply these rates by 6 months and any club total cost at 6 month that differs from your answer has a joining fee.

Club 1;                                          Club 2;                                 Club 3

= 18 * 6                                         = 15 * 6                                = 21 * 6

= $108                                          = $90                                  = $126

<em>Same as total cost at              </em><u><em> Joining fee of $30</em></u><em>;      </em>         <em>No joining fee as </em>

<em>6 months so no joining            120 - 90 = $30                      this is the same </em>

<em>fee.                                                                                           as total cost at 6 </em>

<em>                                                                                                 months.</em>

5 0
2 years ago
Read 2 more answers
Help with number 7!! You don’t have to do it but how do you do the problem??
musickatia [10]
80 * 5/8 will give you how many are thoroughbreds. 

80 * 5/8 = 50

Now subtract this from all of the horses. 

80 - 50 = 30. 

There are 30 quarter horses. 

OR If 5/8 of the horses are thoroughbreds, then 3/8 are quarter horses.

80 * 3/8 = 30. 
6 0
3 years ago
Read 2 more answers
NEED HELP ASAP PLEASE!! The provided diagram of triangle ABC will help you to prove that the base angles of an isosceles triangl
Lunna [17]

Answer: The proof is mentioned below.

Step-by-step explanation:

Here, Δ ABC is isosceles triangle.

Therefore, AB = BC

Prove: Δ ABO ≅ Δ ACO

In Δ ABO and Δ ACO,

∠ BAO ≅ ∠ CAO  ( AO bisects ∠ BAC )

∠ AOB ≅ ∠ AOC ( AO is perpendicular to BC )

BO ≅ OC ( O is the mid point of BC)

Thus, By ASA postulate of congruence,

Δ ABO ≅ Δ ACO

Therefore, By CPCTC,

∠B ≅ ∠ C

Where ∠ B and ∠ C are the base angles of Δ ABC.


7 0
2 years ago
Simplify:<br> (4p3 + 6p2 – 7) – (8p? – 7 – 3p)
Kipish [7]

Answer:

4p3 + 6p2 - 8p - 7

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "p2"   was replaced by   "p^2".  1 more similar replacement(s).

STEP

1

:

Equation at the end of step 1

 (((4 • (p3)) +  (2•3p2)) -  7) -  8p

STEP

2

:

Equation at the end of step

2

:

 ((22p3 +  (2•3p2)) -  7) -  8p

STEP

3

:

Checking for a perfect cube

3.1    4p3+6p2-8p-7  is not a perfect cube

Trying to factor by pulling out :

3.2      Factoring:  4p3+6p2-8p-7

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -8p-7

Group 2:  4p3+6p2

Pull out from each group separately :

Group 1:   (8p+7) • (-1)

Group 2:   (2p+3) • (2p2)

3.3    Find roots (zeroes) of :       F(p) = 4p3+6p2-8p-7

Polynomial Roots Calculator is a set of methods aimed at finding values of  p  for which   F(p)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  p  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  4  and the Trailing Constant is  -7.

The factor(s) are:

of the Leading Coefficient :  1,2 ,4

of the Trailing Constant :  1 ,7

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        3.00    

     -1       2        -0.50        -2.00    

     -1       4        -0.25        -4.69    

     -7       1        -7.00       -1029.00    

     -7       2        -3.50        -77.00    

     -7       4        -1.75        3.94    

     1       1        1.00        -5.00    

     1       2        0.50        -9.00    

     1       4        0.25        -8.56    

     7       1        7.00        1603.00    

     7       2        3.50        210.00    

     7       4        1.75        18.81    

Final result :

 4p3 + 6p2 - 8p - 7

5 0
2 years ago
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