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Aneli [31]
3 years ago
8

The area of the rectangle is 24x^5y^3 square units. Find the length of the rectangle.

Mathematics
1 answer:
Radda [10]3 years ago
3 0

Answer:

3x^2y

Step-by-step explanation:

length = area/width

length = 24x^5y^3/(8x^3y^2) =

(24/8)(x^5/x^3)(y^3/y^2) =

3x^2y

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2x - 3y = 9; 2x + y = 13
olga2289 [7]

Answer:

See explanations below

Step-by-step explanation:

Given the simultaneous equations;

2x - 3y = 9... 1

2x + y = 13 ... 2

From 2;

y = 13-2x

Substitute into 1;

2x - 3(13-2x) = 9

2x -39 + 6x = 9

8x - 39 = 9

8x = 9+39

8x = 48

x = 6

Since y  = 13-2x

y = 13-2(6)

y = 13-12

y = 1

The soluton to the system of equation is (6, 1)

Given the equations;

99x + 101y = 499; .... 1 * 101

101x + 99 y = 501 ... 2 * 99

______________

9999x + 10,201y = 50,399

9999x + 9801y = 49,599

Subtract

10201y - 9801y = 50399-49599

400y = 800

y = 2

Substitute y = 2 into 1;

From 1;

99x + 101y = 499

99x + 101(2) =499

99x +202 = 499

99x = 499 - 202

99x = 198

x = 198/99

x =2

Hence the solution is (2,2)

For the equations;

49x - 57y = 172 .... * 57

57x - 49y = 252 __ * 49

____________________

2793x -3249y =  9804

2793x - 2401y = 12348

Subtract

-3249y+2401y = 9804-12348

-848y = -2544

y = 3

Substitute into 1;

49x - 57y = 172

49x - 57(3) = 172

49x - 171 = 172

49x = 171+172

49x = 343

x = 7

Hence the solution is (7, 3)

8 0
2 years ago
A basin of a water fountain is cube shaped and has a volume of 91.125 cubic feet
sertanlavr [38]

Answer: what's 9 + 10 = 21 :) ur stuipood that's ur answer only here for the points sorry dude.

Step-by-step explanation:

8 0
2 years ago
Yuri computes the mean and standard deviation for the sample data set 12, 14, 9, and 21. He finds the mean is 14. His steps for
Tpy6a [65]

Answer:

B. Yuri divided by n instead of n-1

Step-by-step explanation:

It was stated in the question that the dataset was sample dataset. For a sample dataset, the standard deviation is given by the formula,

σ = √ Σ (Xi - mean)²/(n - 1) where i = 1,2,3.....n

Since this is just a sample dataset and not the whole population, Yuri should have divided by n-1 instead of n.

3 0
3 years ago
She has read 1/5 of the book already what fraction of the book does she need to read now?​
arlik [135]

Answer:

4/5

Step-by-step explanation:

1-1/5=4/5

she still has 4/5 to read

7 0
2 years ago
Johns car averages 28 miles per gallon. how far can her drive on 8.25 gallons
Lilit [14]

Answer: The correct answer is 231 miles

Step-by-step explanation: 28 miles to the gallon x 8.25= 231 miles

4 0
3 years ago
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