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borishaifa [10]
3 years ago
12

Simplify: 27k^5m^8/(4k^3)(9m^2)

Mathematics
1 answer:
Yakvenalex [24]3 years ago
4 0
The answer to your question is 3k^2m^6/4
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Four students were discussing how to find the unit rate for a proportional relationship.Which method is valid?
jenyasd209 [6]

Answer:use a calculator

Step-by-step explanation:

6 0
3 years ago
Which of the following describes a situation in which the total distance a hockey player travels is 0 meter from his starting po
Irina-Kira [14]

Answer:

D. The player skates 12 m forward and then skates 12 m in the opposite direction.​

Step-by-step explanation:

The player skates 12 m forward then back 12 m which means he is back to his starting point. :)

6 0
3 years ago
A. What formula will be use to relate the data? Explain the part of the formula?
Alenkasestr [34]

9514 1404 393

Answer:

  2.5 miles

Step-by-step explanation:

1A. The formula that applies to time/speed/distance problems is ...

  distance = speed × time

The units of the numbers involved need to be compatible, which is to say the speed units need to be the ratio of distance units to time units.

The other applicable relationship is that the resultant speed in a body of water is the sum of the boat speed and the water speed. When they are in the same direction, the speeds add; when they are in the opposite direction, the net speed is their difference.

__

1B, C. Since Tom is traveling upstream, his net speed is the difference between his paddling speed (8 mph) and the current (3 mph). That is, he makes headway upstream at the rate of 8-3=5 mph. This difference is the "speed" in the formula.

Note that the time is given in minutes, but the units of speed have time units of hours. It is easiest in this problem to translate the time in minutes to a time in hours. (30 min = 1/2 h) This is the "time" in the formula.

We can "let 'distance' represent the distance we're being asked to find in the problem statement."

__

1D. Using the formula, we find ...

  distance = (5 mi/h)(1/2 h)

This is the "formula" equation of part A with speed and time values filled in.

The solution to the equation is simply a matter of performing the indicated arithmetic.

  distance = 2.5 mi

Tom would travel 2.5 miles in 30 minutes.

_____

<em>Additional comment</em>

You may see the above formula written a number of ways. Using single-letter variables, it is often written as ...

  d = rt

where d represents distance, r represents speed, and t represents time. By using whole words for the variable names, I find less explanation is necessary.

By using units along with the numbers in the formula, the units of the answer "fall out". If they don't, then there has been a mistake. For example, if you use 30 minutes instead of 1/2 hour, your answer would be ...

  (5 mi/h)(30 min) = 150 mi·min/h

These units are not distance units, so you know a mistake has been made. (The units multiply and/or cancel the same as any variable(s).)

5 0
3 years ago
Read 2 more answers
The price of a cd was decreased by 20% to £7.68. What was the price before the decrease?
love history [14]

Answer:

£9.6

Step-by-step explanation:

x = the original price of a CD

£x = 100% of the original price

The price of a CD was decreased by 20% to £7.68.

This means:

£7.68 = 100% - 20%

£7.68 = 80% of the original price

From this, we will find 1% of the original price.

£7.68 ÷ 80 = 1%

£0.096 = 1%

Since the original price ( x ) = 100% of the original price, we will find 100% of the original price.

£0.096 × 100 = 100%

£9.6 = 100%

Therefore, the original price of a CD = £9.6

8 0
3 years ago
What is the area of a square with a width of 6 inches and a height of 6 inches
Taya2010 [7]

Answer:

36

Step-by-step explanation:

5 0
3 years ago
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