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LenaWriter [7]
3 years ago
10

The length of a rectangle is 3 inches more than the width. The area is 40 square inches. Find the length of the rectangle

Mathematics
2 answers:
Troyanec [42]3 years ago
5 0
The length is 8. width is 5
masya89 [10]3 years ago
3 0

Answer:

Length is 8 inches

Step-by-step explanation:

Start with area of rectangle

Area = L * W

Also it was stated that L = W+3 (3 inches more than the width)

Substitute W+3 in place of L

Area = (W+3)*W

40 = W^2+ 3W

Move everything to one side of the equation yields

W^2 + 3W -40 = 0

By factoring

(W+8)*(W-5) which would yield results of W = -8 or 5.  Since we are looking for positive values (width of a rectangle) we would get W = 5 inches.  

Using the information from above L = W + 3 = 5 + 3 = 8 inches.

Checking

L*W is area of rectangle.  8 * 5 = 40 which was the stated area (in^2) in the given information.  

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How to set the answer up
Korolek [52]

Let s and g represents the numbers of suits and gowns produced.

The number of zippers used is 2s+g.

The number of buttons used is 5s+8g.

In order to use all of the available zippers and buttons, we must have ...

  • 2s + g = 171
  • 5s + 8g = 576

Cramer's rule tells you the solution to the system

  • ax +by = c
  • dx +ey = f

Is given by

  • x = (bf-ey)/(bd-ea)
  • y = (cd-fa)/(bd-ea)

Using this rule on the equations for zippers and buttons, we have

... s = (1·576 -8·171)/(1·5 -8·2) = -792/-11 = 72

... g = (171·5 -2·576)/-11 = -297/-11 = 27

72 suits and 27 gowns can be made from available zippers and buttons.

3 0
3 years ago
Qué número entero está entre -2 y 5​
cestrela7 [59]

Answer:

1.5

Step-by-step explanation:

-2,-1,0,1,2,3,4,5

Le quitamos un número hasta llegar al medio. En el medio hay dos números, el 1 y el 2. Pues tenemos que buscar el promedio de los dos (1+2=3 y 3÷2=1.5).

4 0
3 years ago
Simplify (4n^4 - 3n^2 + n)+ (2n^4 -7n^2 + 9n). Express your answer without factoring.
Pie

Answer:

6n^4-10n^2+10n

Step-by-step explanation:

4 n^4+2n^4-3n^2-7n^2+9n+n

6n^4-10n^2+10n

4 0
2 years ago
Read 2 more answers
PLEASE HELP!!! TRIG, Theres a picture!!
BartSMP [9]

Answer:

<h2>The answer is option C</h2>

Step-by-step explanation:

3(  { \tan }^{2} \theta -    { \sec }^{2}  \theta)

Using trigonometric identities

That's

1 + { \tan }^{2} \theta  =   { \sec }^{2}  \theta

Rewrite the expression

That's

3({ \tan }^{2} \theta - (1 + { \tan }^{2} \theta)) \\

Simplify

We have

3({ \tan }^{2} \theta - 1 - { \tan }^{2} \theta) \\ 3({ \tan }^{2} \theta - { \tan }^{2} \theta - 1)

So we have

3( - 1)

We have the final answer as

<h2>- 3</h2>

Hope this helps you

3 0
2 years ago
Jana earns $25 per week for mowing the lawn and deposits the money into her savings account. The amount of money in Jana’s accou
Tems11 [23]

Answer: y-int = That means the amount of money in Jana's account before she began mowing lawns.

Step-by-step explanation:

The y-intercept represents the initial money that Jana has in his account. Step-by-step explanation: Given the equation of line is . Also, Jana earns $ per week. And is the number of weeks she has been working. If we plug week in the equation . It will give us the y-intercept. That means the amount of money in Jana's account before she began mowing lawns. The y-intercept represents the initial money that Jana has in his account.  

5 0
2 years ago
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