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SCORPION-xisa [38]
2 years ago
11

Fractional indices pls help

Mathematics
1 answer:
bulgar [2K]2 years ago
5 0

Answer:

Formula used :

  • (a^m)^n = a^(m×n)
  • a^m × a^n = a^(m+n)

27 \times  {9}^{3x} =  {3}^{k} \\  {3}^{3}  \times   { {(3}^{2}) }^{3x}  =  {3}^{k}  \\  {3}^{k}  =  {3}^{3}  \times  {3}^{(2 \times 3x)}  \\  {3}^{k}  =  {3}^{3}  \times  {3}^{6x}  \\  {3}^{k}  =  {3}^{(6x + 3)}  \\  \boxed{k = 6x + 3}

  • <u>k = (6x+3)</u> is the right answer.
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7. Ella and her family normally pay $165 per
Anna [14]

Answer:

$99

Step-by-step explanation:

Cost of electricity per year= $165

Tax per month= 5%

Amount of tax paid per month= 5% of $165

= 0.05 × 165

= $8.25

Ella's family pays $8.25 tax per month

There are 12 months in 1 year

Ella's family will pay Ina year = $8.25 × 12

= $99

Ella's family will pay $99 tax for an entire year

4 0
2 years ago
Hi, could someone please help me with this Math problem, Thank you.
Naddik [55]
<h3>Explanation:</h3>

18. The 5 only needs to be "distributed" to terms that are inside the parentheses where 5 is on the outside. Here, the only term in the parentheses is 2x. Anne apparently also multiplied -3 by 5, erroneously. The -3 term is not inside the parentheses, so should be left alone when "distributing" the 5.

The left side of the equation simplifies to 10x -3, so Anne should have had ...

  10x -3 = 20x +15

  -18 = 10x . . . . . . . . . add -15-10x

  -1.8 = x . . . . . . . . . . divide by 10.

The solution is x = -1.8.

___

19. Procedure: Subtract the right side of the equation from both sides. Use the distributive property as many times as necessary to eliminate parentheses. Collect terms. Divide by the coefficient of x. Subtract the constant.

  5[3(x+4) -2(1 -x)] -x -15 = 14x +45 . . . . . . . original equation

  5[3(x+4) -2(1 -x)] -x -15 -14x -45 = 0 . . . . . right side subtracted

  5[3x+12 -2 +2x] -x -15 -14x -45 = 0 . . . . . . inner parentheses eliminated

  15x +60 -10 +10x -x -15 -14x -45 = 0 . . . . . outer parentheses eliminated

  (15 +10 -1 -14)x +(60 -10 -15 -45) = 0 . . . . . like terms associated

  10x -10 = 0 . . . . . . . . . . . . . . . . . . . . . . . . . . simplified

  x - 1 = 0 . . . . . . . . . divide by the coefficient of x

  x = 1 . . . . . . . . . . . . subtract -1 (same as add 1)

The solution is x = 1.

5 0
3 years ago
How do you solve this equation 7(3)+(-9)×(-4)=
Softa [21]

Hello!

To solve this equation, we will need to use PEMDAS (parentheses, then exponents, then multiplication/division, then addition/subtraction).

7(3) + (-9) x (-4) =

21 + (-9) x (-4) =

21 + 36 =

57

I hope this helps you! Have a lovely day!

- Mal

7 0
3 years ago
Divide Rs 4800 in the ratio of 2:3.<br>plz solve it.​
Aliun [14]

Answer:960 2:3=1920:2880

Step-by-step explanation:what do you mean

do you mean do 4800/5 then that’s =960

FINAL ANSWER;

4800 divided by 5 =960

then 960x2=1920

finally 960x3=2880

8 0
3 years ago
Solve for xxx. Your answer must be simplified. -4+x≤9
Degger [83]

Answer:

x≤13

Step-by-step explanation:

-4+x≤9

Add 4 to each side

-4+4+x≤9+4

x≤13

5 0
2 years ago
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