11 The wild tiger population in India increased from 1706 in the year 2010 to

17. The length of a rectangle is 3 inches greater than its width. The perimeter is 28 inches.

Anna11 [10]

Answer:

$\boxed{ \bold{ \sf{ width \: of \: a \: rectangle = 5.5 \: inches}}}$

$\boxed{ \bold{ \sf{length \: of \: a \: rectangle =8.5 \ \: \: inches}}}$

Step-by-step explanation:

Let the width of a rectangle be 'w'

Length of a rectangle = w + 3

Perimeter of a rectangle = 28 inches

To find : dimensions of the rectangle ( length and width )

Finding the width of a rectangle ( w ) 

$\boxed{ \sf{perimeter \: of \: a \: rectangle = 2(l + w)}}$

$\dashrightarrow{ \sf{28 = 2(w + 3 + w)}}$

$\dashrightarrow{ \sf{28 = 2(2w + 3)}}$

$\dashrightarrow{ \sf{28 = 4w + 6}}$

$\dashrightarrow{ \sf{4w + 6 = 28}}$

$\dashrightarrow{ \sf{4w = 28 - 6}}$

$\dashrightarrow{ \sf{4w = 22}}$

$\dashrightarrow{ \sf{ \frac{4w}{4} = \frac{22}{4} }}$

$\dashrightarrow{ \sf{w = 5.5 \: inches}}$

Width of a rectangle = 5.5 inches

Now, replacing / substituting the value of w in order to find the length of a rectangle 

$\sf{ length = 3 + w}$

$\dashrightarrow{ \sf{length = 3 + 5.5}}$

$\dashrightarrow{ \sf{length = 8.5 \: \: inches}}$

Length of a rectangle = 8.5 inches

Hope I helped!

Best regards! :D

4 0

3 years ago

Please help me answer all of 4 and 6 :)

alina1380 [7]

Answer:

Answers Down Below

Step by Step explanation:

4. Look at the graph

A. (0,0), (1,8), (2,16), and (3,24)

B. Slope is 8x

C. 8x=y

5. Start at zero, count up 4, and count to the right 1.

6. X divided by 4 times 3 equals y

Hope I could help. Have a great day/night!

8 0

3 years ago

If three hats cost 24.30 how much is 1 hat

Katen [24]

Just cross multiply basically divide

5 0

2 years ago

Subtract-3x - 8 from 4x² - 7x - 2.

allsm [11]

$( {4x}^{2} - 7x - 2) - (3x - 8) \\ \\ {4x}^{2} - 7x - 2 - 3x + 8 \\ \\ {4x}^{2} - 10x + 4.$

3 0

1 year ago

Solve the following equation simultaneously 1/x-5/y=7, 2/x+1/y=3

maria [59]

Answer:

(x, y) = (1/2, -1)

Step-by-step explanation:

Subtracting twice the first equation from the second gives ...

(2/x +1/y) -2(1/x -5/y) = (3) -2(7)

11/y = -11 . . . . simplify

y = -1 . . . . . . . multiply by y/-11

Using the second equation, we can find x:

2/x +1/-1 = 3

2/x = 4 . . . . . . . add 1

x = 1/2 . . . . . . . multiply by x/4

The solution is (x, y) = (1/2, -1).

_____

Additional comment

If you clear fractions by multiplying each equation by xy, the problem becomes one of solving simultaneous 2nd-degree equations. It is much easier to consider this a system of linear equations, where the variable is 1/x or 1/y. Solving for the values of those gives you the values of x and y.

A graph of the original equations gives you an extraneous solution of (x, y) = (0, 0) along with the real solution (x, y) = (0.5, -1).

6 0

2 years ago