1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Aleks [24]
3 years ago
12

A. What formula will be use to relate the data? Explain the part of the formula?

Mathematics
2 answers:
Alenkasestr [34]3 years ago
5 0

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).)

Pachacha [2.7K]3 years ago
5 0

Answer:

1. Tom's paddles his kayak at a rate of 8 mph in still water. If Tom is traveling upstream in a river with a current of 3 mph, how far would Tom travel in 30 minutes?

You might be interested in
Here is a picture of the Ferris wheel has a radius of 40 m how far does the writer travel in one complete rotation around the Fe
Valentin [98]

Answer:

I'm getting points

Step-by-step explanation:

so I can ask questionss

5 0
2 years ago
Identify the correct ways to classify ∠1 and ∠4 in the figure shown below.
lapo4ka [179]
They are adjacent and complementary.
Next to each other and add up to 90 degrees.
4 0
3 years ago
Read 2 more answers
i need the answer and if possible, can you show your work? i would like to know the steps. Please and thanks you
lisov135 [29]

Answer: The volume would be 61.261.

Step-by-step explanation: To find the volume of a sector of a cylinder use the following formula and fill in the variables with the appropriate data.  V = π r² h * Θ / 360°

7 0
3 years ago
The sequence follows a minus 3 pattern: 12, 9, 6, 3, ....
hram777 [196]
X times -3= a
i think thats it
3 0
3 years ago
Type the correct answer in each box. Use numerals instead of words.
IceJOKER [234]

Answer:

Theo worked for 12 hours and Kade worked for 15

Step-by-step explanation:

if kade worked for 10 hours Theo works for 7 so in total they worked for 17 hours together. So what you do is you just continue counting kades hours, subtracting 3 then add those number together till you get the total of 27 hours.

3 0
2 years ago
Other questions:
  • What is the vertex form of the equation y equals negative x squared + 12 x - 4
    7·2 answers
  • Sarah is paid $20 an hour at her new job. She wishes to graph her total pay T, as a function of the number of hours, h. She want
    14·1 answer
  • The FitnessGram™ Pacer Test is a multistage aerobic capacity test that progressively gets more difficult as it continues. The 20
    12·2 answers
  • 46 cents is what fraction of a dollar
    15·2 answers
  • 3. If 30 is 50% of a value, what is that value?
    12·1 answer
  • There are four identical quadrants which is 15in.
    6·1 answer
  • Where is this trying to show?
    13·2 answers
  • PLEASE ANSWER ASAP
    6·1 answer
  • Factorise x + x - 30
    5·2 answers
  • Álgebra 1. <br> Calculate the slope
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!