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zysi [14]
3 years ago
8

Why was it helpful in the paper ball situation helpful in the paper ball situation to rewrite the expression to determine specif

ic details of the situation?
​
Mathematics
1 answer:
Contact [7]3 years ago
4 0

Answer:

Step-by-step explanation:

I'm not sure I know what the paper ball situation is, but I can tell you that especially when working with a set formula in physics, math or chemistry (I'd include biology if I knew any biology) that it is a good idea to write down your givens.

The equation you are given is going to fall apart once you know what your givens are and what they do.

I just looked up the Paper Ball Situation. This is a wonderful piece of physics. It immediately opened up all sorts of treasures once they experimenters thought of using tin foil. Givens are a necessity in such an experiment.

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malfutka [58]

Part (a)

<h3>Answer:   x = -8</h3>

------------------

Work Shown:

2(x-1) = 3(x+2)

2x-2 = 3x+6 .... distribute

2x = 3x+6+2 .... adding 2 to both sides

2x = 3x+8

2x-3x = 8 .... subtracting 3x from both sides

-x = 8

x = -8 ..... multiply both sides by -1

===========================================================

Part (b)

<h3>Answer:  x = 5/11</h3>

------------------

Work Shown:

-4(2x-2) = 3(x+1)

-8x+8 = 3x+3 ..... distribute

-8x = 3x+3-8 .... subtract 8 from both sides

-8x = 3x-5

-8x-3x = -5 ... subtract 3x from both sides

-11x = -5

x = -5/(-11) .... divide both sides by -11

x = 5/11

In decimal form, this is approximately equal to 5/11 = 0.4545

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3 years ago
The swimming pool is open when the high temperature is higher than 20^\circ\text{C}20 ? C. Lainey tried to swim on Monday and Th
Damm [24]

Answer:

30-3d\leq 20

Step-by-step explanation:

Let d represent the rate of temperature decrease in degrees Celsius per day from Monday to Thursday.  

As temperature decreased at a constant rate in the next 3 days, so the rate of temperature will decrease 3d degree Celsius in 3 days.  

We are told that the pool was open on Monday. The high temperature was 30^oC on Monday. So the decrease in temperature from Monday to Thursday will be 30-3d.

We have been given that the swimming pool is open when the high temperature is higher than 20^oC.

As the pool was closed on Thursday. This means that temperature on Thursday was less than or equal to 20 degree Celsius. We can represent this information in an inequality as:

30-3d\leq 20

Therefore, the inequality 30-3d\leq 20 can be used to determine the rate of temperature decrease in degrees Celsius per day, d, from Monday to Thursday.



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Step-by-step explanation:

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