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Margaret [11]
3 years ago
10

When 27 times x squared times z all over negative 3 times x squared times z to the sixth power is completely simplified, the exp

onent on the variable z is
Mathematics
1 answer:
marysya [2.9K]3 years ago
4 0

Answer:

  -5 or 5 depending on how you write the simplified form

Step-by-step explanation:

\dfrac{27x^2z}{3x^2z^6}=9x^{2-2}z^{1-6}\\\\\boxed{=9z^{-5}=\dfrac{9}{z^5}}

__

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  1/a^b = a^-b

__

Some folks like their simplified form to contain only positive exponents. Other folks avoid unnecessary fractions. Choose the form that satisfies your grader.

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X-4/10=7/5<br> Plz solve these
iragen [17]
(x-4)/10=7/5
x-4=70/5
x-4=14
x=18

here you go, practice it once or twice. good luck
3 0
3 years ago
Read 2 more answers
Sally used 30 cubes to build a rectangular prism that was 5 cubes long, 3 cubes wide, and 2 cubes high. She decided to take apar
Mashcka [7]

Answer:

3cube long 2 cube wide and 5 cube prism.

Step-by-step explanation:

-The number that has only 3 absolute divisors

-Since we already know this factors, Sally can create a different prism by altering the dimensional attributes.

-She can create a 3cube long 2 cube wide and 5 cube high prism.

-The new prism still has the same volume of 30 cubic units.

5 0
3 years ago
Help please I need the answer
Mazyrski [523]

Answer:

Albany

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Okay these last two are the last ones i need help on!
icang [17]
21) 5 shelves
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8 0
3 years ago
Which inequality is equivalent to x-6/x+5≥x+7/x+3?
yawa3891 [41]
To find equivalent inequalities you have to work the inequality given.

The first step is transpose on of sides to have an expression in one side and zero in the other side:

  x - 6        x + 7
--------- ≥  --------
  x + 5       x + 3

=>

  x - 6          x + 7
--------- -  --------   ≥ 0
  x + 5       x + 3

=>

 (x - 6) (x + 3) - (x + 7) (x + 5)
--------------------------------------- ≥ 0
          (x + 5) (x + 3)

=>

 x^2 - 3x - 18 - x^2 - 12x - 35
--------------------------------------- ≥ 0
         (x + 5) (x + 3)

           15x + 53
-     -------------------   ≥ 0
       (x + 5) (x + 3)

That is an equivalent inequality. Sure you can arrange it to find many other equivalent inequalities. That is why you should include the list of choices. Anyway from this point it should be pretty straigth to arrange the terms until making the equivalent as per the options.
4 0
3 years ago
Read 2 more answers
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