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
crimeas [40]
3 years ago
14

Two cars travel the same distance. The first car travels 40 mph and reaches its destination in t hours.

Mathematics
1 answer:
Vesna [10]3 years ago
3 0

Answer:

<em>The first car reaches its destination at 11 hours</em>

Step-by-step explanation:

<u>Distance Traveled </u>

The distance X traveled by and object moving at constant speed is given by:

X=v.t

Where v is the speed and t is the time.

We are given some input data. Two cars travel the same distance, let's call it X. The first car travels at 40 mph and reaches its destination in t hours.

We also know the second car travels at 55 mph and reaches the destination 3 hours earlier. The time used by the second car is t-3 hours

The equation for the distance of the first car is

X=40t

The equation for the distance of the second car is

X=55(t-3)

Both distances are the same, thus

40.t=55(t-3)

Operating:

40t=55t-165

Joining like terms:

15t=165

Solving:

t=165/15

t=11 hours

The first car reaches its destination at 11 hours.

You might be interested in
25x²+0x-1<br><br> Factor completely<br><br> Please provide an explanation if able
kati45 [8]

Answer:

(5x-1)(5x+1)

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Mr gomez gave his class a test on 20 spelling words. Only one of the following percents is possible as a percent of the 20 words
yawa3891 [41]
The answer would be a I believe so
5 0
3 years ago
Read 2 more answers
If y = 12 when x = 6, determine y when x = 18 write an equation
Aleksandr [31]
If y=12 when x=6, then y=36 when x=18 by the equation y=2x.
4 0
3 years ago
Mia borrowed 5,000 from her grandparents to pay college expenses. She pays them 125 each month,and simple interest at an annual
ivanzaharov [21]
It will take her 40 months
8 0
3 years ago
HELP MATH QUESTIONS!! WILL MARK CORRECT ANSWERS BRAINLIEST!! 40 POINTS!! DUE TODAY ASAP!!
yuradex [85]

Answer:

  1. f(x) = 34.59 +3.74x
  2. 0.96
  3. very strong
  4. 8.93

Step-by-step explanation:

1. The selection of answers offers a choice of positive or negative slope, a slope of about 4 or about 35, and y-intercepts from the same set of values.

If you consider a couple of points (at the ends of the domain is usually a good choice), you see the slope is about 4 and the y-intercept is around 30.

For example, the points (5, 50) and (15, 91) have a slope of (91-50)/(15-5) = 4.1 so will give rise to the equation ...

  y -50 = 4.1(x -5)

Filling in x=0 gives y = 50 -20.5 = 29.5

So, the nearest of the offered choices is ...

  f(x) = 34.59 +3.74x

Please note that no calculator is involved. We simply estimated the parameters of the regression line based on a couple of the data points. This estimate is sufficient to allow us to find the correct answer choice.

__

2. If we look at a few other data points, we see that they have a generally upward trend that matches the above equation pretty well. That suggests a very high value of correlation, so the appropriate choices would be 0.93 or 0.96. Of course, the correlation is positive, matching the sign of the slope of the regression line. (Since the data points do not fall exactly on a line, the correlation is not 1.00. My assessment is they fall close enough to the line to rate a correlation of .96 instead of .93.)

At this point, the output of your calculator can confirm that the correlation coefficient is closer to 0.96. Mine says r = 0.9624.

  r = 0.96

__

3. We have already determined by examining the data points that the correlation is "very strong." The correlation coefficient of 0.96 confirms this.

__

4. Using the equation of part 1, we can find the number of study hours:

  68 = 34.59 +3.74x

  (68 -34.59)/3.74 = x ≈ 8.933

We expect a score of 68 is associated with about 8.93 study hours.

_____

Please note that we have used very little calculation to determine the answers to this question. The only requirement is a general understanding of what linear regression and correlation coefficients mean.

3 0
3 years ago
Other questions:
  • I really need help please.......
    9·1 answer
  • I need a answers please
    13·1 answer
  • HELP! 5/x+3 - 3/x-2 = 5/3x+6 please show your work. :)
    11·1 answer
  • What is the best classification of –14 in the real number system?
    10·1 answer
  • What is the range of this function?
    10·2 answers
  • Look at a picture of the American flag. Approximately what<br> part of the flag is blue? Explain.
    11·2 answers
  • Cosec 10 - √3 sec10 = 4 prove without calculator<br><br>​
    8·1 answer
  • Choose the system of equations to solve the following: Tickets to a movie cost $7.25 for adults and $5.50 for students. A group
    13·1 answer
  • What is the recursive formula for each arithmetic sequence. -5,-8.5,-12,-15.5,-19
    12·1 answer
  • After 8 years, what is the total amount of a compound interest investment of $25,000 at 3% interest, compounded quarterly?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!