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Gekata [30.6K]
3 years ago
5

I'll mark brainliest just tell me how to.

Mathematics
1 answer:
IRINA_888 [86]3 years ago
3 0

Answer:

a = 12

b = 2

c = 11

Step-by-step explanation:

\frac{( {x}^{5}y  {z}^{4} )^{3} }{ {x}^{3} yz}  =  {x}^{a}  {y}^{b}  {z}^{c}  \\  \\ \frac{ {x}^{5 \times 3}y^{3}   {z}^{4 \times 3} }{ {x}^{3} yz}  =  {x}^{a}  {y}^{b}  {z}^{c}  \\  \\ \frac{ {x}^{15}y^{3}   {z}^{12} }{ {x}^{3} yz}  =  {x}^{a}  {y}^{b}  {z}^{c}  \\  \\  {x}^{15 - 3}  {y}^{3 - 1}  {z}^{12 - 1} =  {x}^{a}  {y}^{b}  {z}^{c} \\  \\  {x}^{12}  {y}^{2}  {z}^{11} =  {x}^{a}  {y}^{b}  {z}^{c}  \\  \\ equating \: like \: terms \: from \: both \: sides \\  \\  {x}^{12}  =  {x}^{a}  \:  \implies \: a = \boxed{ 12}\\  \\  {y}^{2}  =  {y}^{b}  \:  \implies \: b = \boxed{ 2} \\  \\  {z}^{11}  =  {z}^{c}  \:  \implies \: c = \boxed{ 11}

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I need help with this problem
Anit [1.1K]

Answer:

show how you know  .. :D  good rhyme  

Step-by-step explanation:

park = 4" x 6"    ( inches)  small park

but one inch = 30 miles  ooh big park

4*30 X 6*30

120 X 180  miles... like a big game range?  :?  very big

since we only have 6 square inches to fit the map into... then.. what size of map would fit?    what size equals 6 inches?    2 x 3 ?  hmm yes that's 6

soooo  shrink the 4" x 6" to  2"x 3" so the scale needs to double or

1 inch = 60 miles

2"*60  x 3"*60 = 120 x 180 miles.. looks good   try that :)

6 0
3 years ago
-3x+6/2 <12 there is no divison sign so its -3x+6 over 2
Vaselesa [24]

Answer:

x > −3

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

Step 2: Subtract 3 from both sides.

Step 3: Divide both sides by -3.

6 0
3 years ago
Factories 54m3n + 81m4n2 b) 15x2y3z + 25x3y2z + 35x2y2z​
Oliga [24]

<u>Part a)</u>

Given the expression

54m^3n\:+\:81m^4n^2

Apply exponent rule:    a^{b+c}=a^ba^c

54m^3n\:+\:81m^4n^2=54m^3n+81m^3mnn     ∵ m^4n^2=m^3mnn

Rewrite 81 as 3 · 27

Rewrite 54 as 2 · 27

                             =2\cdot \:27m^3n+3\cdot \:27m^3mnn

Factor out the common term:   27m³n

                              =27m^3n\left(2+3mn\right)      

Therefore,

54m^3n\:+\:81m^4n^2=54m^3n+81m^3mnn=27m^3n\left(2+3mn\right)

<u>Part B)</u>

Given the expression

15x^2y^3z+25x^3y^2z+35x^2y^2z

Apply exponent rule:    a^{b+c}=a^ba^c

15x^2y^3z+25x^3y^2z+35x^2y^2z=15x^2y^2yz+25x^2xy^2z+35x^2y^2z

Rewrite as

                                               =3\cdot \:5y^2x^2zy+5\cdot \:5y^2x^2zx+7\cdot \:5y^2x^2z

Factor out common term 5y²x²z

                                                =5y^2x^2z\left(3y+5x+7\right)

Therefore,

15x^2y^3z+25x^3y^2z+35x^2y^2z=5y^2x^2z\left(3y+5x+7\right)

8 0
3 years ago
Camille is attending a fundraiser. She pays for her admission and buys raffle tickets for $5 each. If she buys 10 raffle tickets
Anna007 [38]
To spend a total of $135, Camille would have bought 27 tickets at $5 each.
7 0
3 years ago
Read 2 more answers
AO
iogann1982 [59]

Answer: Summer Math Packet for Students Entering Algebra 2. 1. Percentages ... E) -15+6 = -9 f). 35:-7 = 5 g. 3[2(6+1)-32). 1+(22-1)+1. 1 = 3 h). 4:3 =

Step-by-step explanation: Good luck!

3 0
2 years ago
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