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Kaylis [27]
3 years ago
8

Daniel had a 22-foot-long rope that he cut into eight equal pieces. Which equation can be used to determine the length, r, of ea

ch piece, and how long is each piece?

Mathematics
1 answer:
ivann1987 [24]3 years ago
8 0

Answer:

Option C.

Step-by-step explanation:

Let

r-----> the length of each piece

we know that

To find the length of each piece, divide the total length of the rope (22 ft) by the number of pieces (8 pieces)

so

8r=22 -----> equation that represent the situation

r=\frac{22}{8}\ feet -----> the length of each piece

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The width of a rectangle is 6 kilometers less than twice its length. if its area is 108 square​ kilometers, find the dimensions
Art [367]
Hi there!

Answer:
length = 9 kilometres
Width = 12 kilometres

Let's solve this problem step by step!
To find our answer we need to set up and solve an equation.

Let the length of the rectangle be represented by x.
The width of the rectangle can therefore be expressed by 2x - 6.

The area of a rectangle can be found by using the formula:
A = width × length

Plug in the data from the formula
A = x (2x - 6).

Simplify using rainbow technique.
x(2x - 6) = 2 {x}^{2} - 6x

Now we've found the simplified expression that expresses the area of the rectangle. Therefore, we can now set up and start solve the equation.

2 {x}^{2} - 6x = 108
Subtract 108

2 {x}^{2} - 6x - 108 = 0
Divide by 2.

{x}^{2} - 3x - 54
(x - 9)(x + 6) = 0
Rule AB = 0, gives A is 0 or B is 0.

x - 9 = 0 \\ x = 9 \\ \\ x + 6 = 0 \\ x = - 6

The length of the rectangle, which was represented by x, must be 9 (since it cannot be a negative number).

Length
x = 9
Width
2x - 6 = 2 \times 9- 6 = 18 - 6 = 12

Answer:
length = 9 kilometres
Width = 12 kilometres

~ Hope this helps you!
6 0
3 years ago
So if 1+1=2then whats 2+2?
Delvig [45]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
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neonofarm [45]

Answer:

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Step-by-step explanation:

There are no values of x that make the equation true.

6 0
3 years ago
Why do you think items that come in a larger quantity cost less per unit
MAXImum [283]
They cost less because there are more items in stock meaning that there isn't a limit here is another way of thinking if there are less Items then they can charge you more per item because they know you are gonna want it but if there are tons of that one item they there kinda like eh then you think oh I can live without that....... Hope this helps

7 0
3 years ago
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6. Explain how you need 2 coordinate pairs to access and apply the Slope formula ?
Basile [38]

Answer:

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Step-by-step explanation:

Step One: Identify two points on the line.

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