The perimeter of a rectangle is 30 inches. If it's length is three times it's width, find the dimensions. Show work if possible.Next, a volleyball coach plans her daily practices to include 10 minutes of stretching, 2/3 of the entire practice scrimmaging, and the remaining practice time working on drills. On Wednesday, the coach planned 100 minutes of stratching and scrimmaging. How long, in hours, is the entire practice? Show work if possible.

Homework due tommorrow......PLEASE HELP!!!!!

Answers

Answer 1

Answer: The rectangle problem:

First, create some variables.
w = width
l = length

Then you know that the length is 3 times the width, so
l = 3w

The equation for perimeter is
P = 2(l+w)

Now you use substitution, substituting the 3w for l because you found that earlier.

P = 2((3w) + w)

And simplify.
P = 2(4w)
P = 8w

And you know P = 30 because they told you that.
30 = 8w
w = 15/4 inches, or 3.75 inches

Now substitute that value back into that first equation,
l = 3w
l = 3(15/4)
l = 45/4 inches, or 11.25 inches.

The dimensions are 11.25in for length and 3.75in for width.

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The volleyball problem:

100 minutes of stretching and scrimmaging combined, and you know 10 have to be stretching, so 90 is scrimmaging.

s = scrimmaging
T = total time

s = 2/3T (they gave you this)
90 = 2/3T
T = (90*3)/2
T = 270/2
T = 135 minutes, or 2 hours and 15 minutes.

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What are the coordinates of point P?

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On this graph, coordinate P lies 2 units to the left of the center. The side-to-side movement of a point on a coordinate plane is called movement on the x-axis, and since it is 2 units to the left of the center, it is called -2. All units to the left of the zero point (middle of the graph) is counted in negative numbers.
Coordinate P also lies 4 units down from the center. Movement up and down the graph is called movement on the y-axis, and since it is 4 units below the center, it is called -4. All units below 0 on the y-axis are counted in negative numbers.
To assemble our coordinates, we just have to remember the format for coordinates on a plane, which is (x, y). The value of the point's position on the x-axis always comes first, followed by its position on the y-axis. In this case, the finished coordinate would be (-2, -4).
Hope that helped! =)

Answer:

(-2, -4)

Step-by-step explanation:

WHAT Is 2 quarters Equal To?

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2 quarters is equal to 50 cents or 1/2 of a dollar

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Agent Hunt is transferring classified files from the CIA mainframe to his flash drive. The variable S models the size of the files on the drive (in megabytes) after t seconds of transfer. S=5t+45 How many megabytes does Agent Hunt transfer every 10 seconds?

Answers

Answer:

50MB

Step-by-step explanation:

$\bold{METHOD\ 1:}\n\n\text{Calculate the value of }S\ \text{in}\ 10s,\ 20s,\ 30s,\ ... \text{and difference if them}\n\nfor\ t=10:\n\nS=5(10)+45=50+45=95\n\nfor\ t=20:\n\nS=5(20)+45=100+45=145\n\nfor\ t=30:\n\nS=5(30)+45=150+45=195\n\n195-145=50\n145-95=50\n\n\boxed{50\ MB\ per\ 10s}$

$\bold{METHOD\ 2:}\n\nS_1=5t+45\to \text{in t second}\n\nS_2=5(t+10)+45\to \text{10 second leter}\n\n\text{Difference}\n\nS_2-S_1=5(t+10)+45-(5t+45)=5t+50+45-5t-45=50\n\n\boxed{50MB\ per\ 10s}$

Answer:

50MB (MEGABITES)

A state lottery commission analyzes the ticket purchasing patterns of its citizens. The following expression is developed to help officials calculate the likely number of people who will buy tickets for a certain size jackpot. 81a^2-36b^2
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Answers

So,

We first factor out the GCF.

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Now, we notice that the expression is a difference of two perfect squares.
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The expression is now factored completely.

9(9a^2-4)

9(3a+2)(3a-2)

I hope this helps!

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