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nekit [7.7K]
2 years ago
13

Simplify the expression 30x^6/3x^-2​

Mathematics
1 answer:
Ne4ueva [31]2 years ago
6 0

Answer:

30x^{4}

Step-by-step explanation:

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Please show working out thanks
IgorLugansk [536]

Answer:

10m x 15m

Step-by-step explanation:

You are given some information.

1. The area of the garden: A₁ = 150m²

2. The area of the path: A₂ = 186m²

3. The width of the path: 3m

If the garden has width w and length l, the area of the garden is:

(1) A₁ = l * w

The area of the path is given by:

(2) A₂ = 3l + 3l + 3w + 3w + 4*3*3 = 6l + 6w + 36

Multiplying (2) with l gives:

(3) A₂l = 6l² + 6lw + 36l

Replacing l*w in (3) with A₁ from (1):

(4) A₂l = 6l² + 6A₁ + 36l

Combining:

(5) 6l² + (36 - A₂)l +6A₁ = 0

Simplifying:

(6) l² - 25l + 150 = 0

This equation can be factored:

(7) (l - 10)*(l - 15) = 0

Solving for l we get 2 solutions:

l₁ = 10, l₂ = 15

Using (1) to find w:

w₁ = 15, w₂ = 10

The two solutions are equivalent. The garden has dimensions 10m and 15m.

3 0
3 years ago
Beverage A and Beverage B are sold in identical cans. Beverage A is 4% sugar. The portion of Beverage B that is sugar is 0.21. H
V125BC [204]

Answer:

5.25 times

Step-by-step explanation:

Beverage A and Beverage B are sold in identical cans.

From the above question

Beverage A is 4% sugar.

The portion of Beverage B that is sugar is 0.21.

Converting Portion of sugar in Beverage B to percentage we have :

0.21 × 100

= 21%

How many times more sugar is in Beverage B than Beverage A?

This is calculated as:

% Beverage B/% Beverage A

= 21%/4%

= 5.25

Hence Beverage B has 5.25 times more sugar than Beverage A.

4 0
3 years ago
Apply the commutative property to 13 × 7 × 21 to rearrange the terms and still get the same solution. 
Andru [333]
Hey there!!
The answer is (13)(21)(7).

Hope this is what ur looking for.

~ TRUE BOSS
7 0
3 years ago
The dimensions of a rectangular pool are 24ft long, 16ft wide, and 4ft deep. How much water is needed to fill the pool?
andrey2020 [161]
Since 24x16x4 it would equal 1,536 ft^3
7 0
3 years ago
4x-3y=1 <br> -8x+6y=-2 elimination method
Alex787 [66]

(4x-3y=1)×2

8x-6y=2

8x-6y+(-8x+6y)=2+(-2)

8x-8x=0

0=0

apply it ,

4×0-3y=1

-3y=1

y=-1/3

4 0
3 years ago
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