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AURORKA [14]
2 years ago
8

Solve for the indicated variable. Include all of your work in your answer. Submit your solution.

Mathematics
1 answer:
zysi [14]2 years ago
6 0
P=3r + 2s       you need to get all the numbers and variables on the other side                               of the equation so that s is alone. 
P -3r = 2s          Subtract the 3r from both sides. 
P- 3r /2 =s         now divide the whole amount P-3r by 2 and you've got your                                answer! 
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35 points please help!!!!! :(
Allisa [31]
1. m = (y2 - y1) / (x2 - x1)
2. negative
3. y = 2
4. 0 slope
5. line A has steepest slope
6. (5,5)(-5,-1)...slope = -6/-10 = 3/5
7. Line B has a slope of -5
8. (1989,3)(1999,5.5) = 2.50/10 = 0.25
9. not sure
10. -1/4 inches per month
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
2 years ago
Read 2 more answers
What is the percent of change from 6,000 to 60?
Thepotemich [5.8K]

Answer: 99% decrease

Step-by-step explanation: Since the number changes from 6,000 to 60, we know that it's decreasing. Now to find the percent decrease, we divide the amount of change by the original number.

The amount of change is the difference between 6,000 and 60 and the original number is 6,000.

6,000 - 60 is 5,940 so we are left with \frac{5,940}{6,000} and dividing 6,000 into 5,940 gives us 0<em>.</em>99.

Finally, since the problem is asking us for the <em>percent</em>, we write 0.999 as a percent by moving the decimal point 2 places to the right to get 99%.

So when a number changes from 6,000 to 60, it has decreased by 99%.

6 0
3 years ago
Can someone help with this?
aleksklad [387]

Answer:

Its the second one

Step-by-step explanation

the reason why is because

<= less than- so it goes to the left and since its not less than or equal to its an open circle instead of a closed circle.

4 0
2 years ago
Given a term in a geometric sequence and the common ratio, find the explicit formula, a11=5120 ans r=-2
sweet-ann [11.9K]

Answer:

U_n=5(-2)^{n-1}

Step-by-step explanation:

Given a geometric sequence, the nth term of the geometric sequence is obtained by using the formula:

U_n=ar^{n-1}

If the eleventh term, a_{11}=5120

and the common ratio, r=-2.

Then:

5120=a(-2)^{11-1}\\a=\frac{5120}{2^{10}} =5

The explicit formula for the sequence is:

U_n=5(-2)^{n-1}

5 0
2 years ago
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