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Rashid [163]
3 years ago
9

Which expressions are equivalent to 5(-2k-3)+2k

Mathematics
1 answer:
bulgar [2K]3 years ago
6 0

Answer:

-8k - 15

Step-by-step explanation:

5(-2k-3)+2k

At first, we will break the parenthesis. To break that, we will multiply the value inside the parenthesis by the adjacent number, that is 5. Again, we have to consider the Algebraic operation (Golden rule) -

[(-) x (-) = (+); (+) x (-) = (-)]

Therefore, since there is a minus sign in each of the value inside the parenthesis, the result will be minus as 5 is a positive integer.

or, -5*(2k) - (5*3) + 2k

or, -10k - 15 + 2k

or, -8k - 15 (after the deduction)

The answer is = -8k - 15

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Answer:

y=8

Step-by-step explanation:

first you want to subtract 2y from 10y which will give you 8y and then divide both sides by 8 to get y alone and you will get y=8

6 0
3 years ago
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Jane has 18 juice boxes, 24 bags of peanuts and 36 apples. She wants to make snack bags with same number of each thing in each b
pishuonlain [190]

Answer:  6 snack bags.

Step-by-step explanation:

For this exercise it is important to remember the Greatest Common Divisor (GCD). This is defined as  the largest positive intener by which  you can divided evenly "n" numbers.

In  this case, you know that Jane has  18 juice boxes, 24 bags of peanuts and 36 apples. Therefore, the steps are the following:

1. You need to descompose 18, 24 and 36 into their prime factors, as below:

18=2*3*3=2*3^2\\\\24=2*2*2*3=2^3*3\\\\36=2*2*3*3=2^2*3^2

2. Now you must choose the common ones with the smallest exponent and multiply them.

Then, you get:

GCD=3*2\\\\GCD=6

Therefore, the greatest number of snack bags that Jane can make is:  6 snack bags.

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3 years ago
22x^3 y^4+28x^2 y^5+34xy^4
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Answer:

 2xy4 • (11x2 + 14xy + 17)

Step-by-step explanation:

(((22•(x3))•(y4))+((28•(x2))•(y5)))+(2•17xy4)

(((22•(x3))•(y4))+((22•7x2)•y5))+(2•17xy4)

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5.1     Pull out like factors :

  22x3y4 + 28x2y5 + 34xy4  =   2xy4 • (11x2 + 14xy + 17)  

Trying to factor a multi variable polynomial :

5.2    Factoring    11x2 + 14xy + 17

Final result :

 2xy4 • (11x2 + 14xy + 17)

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Zepler [3.9K]

Answer:

x=70

General Formulas and Concepts:

<u>Pre-Alg</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

<u />\frac{0.35}{\frac{2}{3}x } =\frac{0.45}{x-10}<u />

<u />

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Cross-multiply:                    0.35(x-10)=\frac{2}{3} x \cdot 0.45
  2. Distribute 0.35:                   0.35x - 3.5=\frac{2}{3} x \cdot 0.45
  3. Multiply:                               0.35x - 3.5=0.3x
  4. Isolate <em>x</em> term:                     -3.5=-0.05x
  5. Isolate <em>x</em>:                              70=x
  6. Rewrite:                               x=70

<u>Step 3: Check</u>

<em>Plug in x to verify it's a solution.</em>

  1. Substitute:                   \frac{0.35}{\frac{2}{3}(70) } =\frac{0.45}{70-10}
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  3. Subtract:                      \frac{0.35}{\frac{140}{3}  } =\frac{0.45}{60}
  4. Evaluate:                     0.0075=0.0075
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