-2(2-2x)-4(x-5) is less than or equal to -24

A rectangular piece of land is 40m long and 25m wide. A path of uniform width and 426 m^2 area sorrounds

fredd [130]

Answer:

Width of the uniform path that surrounds the piece of land = 3 m

Step-by-step explanation:

Let the width of the path that surrounds the piece of land be x.

The situation described is sketched in the attached image to this solution.

The dimension of the Length of the piece of land including the uniform path that surrounds it = (40 + 2x) m

The Breadth of the piece of land including the uniform path that surrounds it = (25 + 2x) m

The area of the piece of land including the uniform path that surrounds it

= (Area of the piece of land) + (Area of the uniform path that surrounds it)

Area of the piece of land = Length × Breadth = 40 × 25 = 1000 m²

Area of the uniform path that surrounds it = 426 m² (Given in the question)

The area of the piece of land including the uniform path that surrounds it = 1000 + 426 = 1426 m²

But the area of the piece of land including the uniform path that surrounds it is also

= (Length of the piece of land including the uniform path that surrounds it) × (Breadth of the piece of land including the uniform path that surrounds it

= (40 + 2x) + (25 + 2x)

= 1000 + 80x + 50x + 4x²

= (4x² + 130x + 1000) m²

Equation these 2 areas

4x² + 130x + 1000 = 1426

4x² + 130x - 426 = 0

Solving the quadratic equation

x = 3 or -35.5

Since the width cannot be negative,

x = 3 m

Hope this Helps!!!

7 0

2 years ago

If 300 boxes of medical sponges cost $25.00, how many boxes can you purchase for $0.50?

nikdorinn [45]

You can purchase 6 boxes of medical sponges for $0.50.

Step 1:
Divide 300 by 25.00
300/25= 12
So you get 12 boxes for 1 dollar.
We have 50 cents.

Step 2:
Multiply 12 by 0.50
12*.5 = 6
So you can buy 6 boxes for $0.50.

Hope this helps you! (:
-Hamilton1757

4 0

2 years ago

Read 2 more answers

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

Troyanec [42]

The domain is the x values

y = 2 - x

when x = -3
y = 2 - (-3)
y = 2 + 3
y = 5....so ur points are (-3,5)

when x = -2
y = 2 - (-2)
y = 2 + 2
y = 4....so ur points are (-2,4)

when x = -1
y = 2 - (-1)
y = 2 + 1
y = 3...so ur points are (-1,3)

when x = 0
y = 2 - 0
y = 2....so ur points are (0,2)

when x = 1
y = 2 - 1
y = 1...so ur point are (1,1)

so basically, u plot all of those points

7 0

2 years ago

Given that a 90% confidence interval for the mean height of all adult males in Idaho measured in inches was [62.532, 76.478]. Us

grigory [225]

Answer:

The confidence interval on this case is given by:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

For this case the confidence interval is given by (62.532, 76.478)[/tex]

And we can calculate the mean with this:

$\bar X = \frac{62.532+76.478}{2}= 69.505$

So then the mean for this case is 69.505

Step-by-step explanation:

Previous concepts

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

$\bar X$ represent the sample mean