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Alecsey [184]
3 years ago
9

Solve the equation 3p (3p - 8) - 8 = 9p ( p - 3 + 4

Mathematics
2 answers:
Semenov [28]3 years ago
8 0

Answer:

p = 4

Step-by-step explanation:

3p (3p - 8) - 8 = 9p (p - 3) + 4

9p² - 24p - 8 = 9p² - 27p + 4

3p = 12

p = 4

pentagon [3]3 years ago
4 0

Answer:

p= \frac{-8}{33}

Explanation:

Given:

3p (3p - 8) - 8 = 9p ( p - 3 + 4)

To Find:

Value of p=?

Solution:

Before solving this equation,  we will use the method of BODMAS which states that we first solve the Bracket then Off then Division then Multiplier then addition and at last subtraction.  

Now we will solve the both right and left hand side of the equation  

3p (3p - 8) - 8 = 9p ( p - 3 + 4)

9p^2-24p-8=9p^2+9p

Gruoping the like terms we get,

9p^2-9p^2-24p-9p=8

After solving the both right hand and left hand side of the equation  

-33p=8

And we get the value of p as  

p= \frac{-8}{33}

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Rename 5/6 and 14/15 using the least common denominator.
Vedmedyk [2.9K]

Answer:

25/30 and 28/30

Step-by-step explanation:

1. To find the least common denominator, you need to find the least common multiple of the two denominators which are 6 and 15. Prime factorization of these numbers gives:

6 = 2 x 3

15 = 5 x 3

A number that would evenly divide both 6 and 15 must contain 2 x 3 x 5 which is 30.

Thus 30 is the least common denominator.

2. Now we need to somehow change both fractions to make them have a denominator of 30. To do this we can multiply by fractions with same numerator and denominator since that would be like multiplying by 1.

So, 5/6 x 5/5 = 25/30

And 14/15 x 2/2 = 28/30

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3 years ago
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Answer:

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Step-by-step explanation:

Subtract 34 on both sides of the equation:

n = 14 - 34

n = -20

Hope this helps!

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2 years ago
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Flora has saved $4 less than twice the amount Jason has saved. Together they have $44. How much has each person saved?
shusha [124]

Answer:

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Step-by-step explanation:

$44 - $4 = 40

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Multiply (5 + 3i)(5 − 3i) <br><br> 16 + 15i <br><br> 16 − 15i <br><br> 16 <br><br> 34
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Answer:

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Step-by-step explanation:

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Remember that i=\sqrt{-1}

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