Jazzy T.

asked • 01/05/15

Measurement with Speed

Ray and Marlene are driving to work together, when Marlene notices that the speedometer is broken. And to make matters worse, they don't have time to stop and get it fixed. In order to get to work on time, they have to maintain a constant speed of 55 mph. If there is a clock in the car, and if Ray knows that the white stripes in the broken line on the road are six feet long, with six feet of space between the stripes, how can he calculate the car's speed? What will the car's optimum speed be, if expressed in the units with which Ray is calculating the car's speed?

1 Expert Answer

By:

Jazzy T.

I don't get how this fits into how can he calculate the cars speed and the speed for the units he is calculating is?
It just seems really confuses to me.
Would you add the 24,200 stripes and 24,200 spaces together for the speed?
Report

01/07/15

David W.

tutor
In an hour, they should see 24,200 lines and spaces if they maintain 55 mph. That's a lot to count, so we can break it down. In half an hour, they should see 12,100 lines and spaces. In 15 minutes, they should see 6, 050 lines and spaces. In 7 1/2 minutes, they should see 3,025 lines and spaces.
 
Keep going, and 7 1/2 minutes is 450 seconds. We can divide the 450 seconds and 3,025 lines and spaces by 25. They should then see 121 lines and spaces every 18 seconds.
 
So, the way to calculate the speed is by counting the lines and spaces. Their new speed should be 121 lines and spaces per 18 seconds.
Report

01/07/15

Jazzy T.

I realize that, but is the 24,200 stripes and spaces separate or is it that there are 24,200 stripes and also 24,200 spaces. 
 
Then would the final answer be the car's optimum speed is 24,200 stripes and spaces per hour?
Report

01/07/15

David W.

tutor
Using the clock in the car, the 18 seconds may not work, since most car clocks don't count the seconds. If we go back to the 6050 lines and spaces in 15 minutes, we can divide each by 5, so their speed will be 1210 lines and spaces per 3 minutes.
Report

01/07/15

Jazzy T.

and another completely different question:
with finding slope=m;
 
given A(5,3) and O(0,0), find a point B that makes the following true:
 
First question: m(A,B)=m(O,B)
Second question: m(A,B)= 3/4 and the distance between points A and B is 5
 
Report

01/07/15

David W.

tutor
Yes, they can count the lines and spaces together, so one line and the following space OR the space and following line can count as one. When they get to 24,200 in an hour, they are going 55 mph. This is easier than counting one line, one space, two lines, two spaces, etc. Technically, if they reach the start of the 24,201st line in an hour, they are maintaining speed.
 
Give me a minute to work on your new problem.
 
 
Report

01/07/15

David W.

tutor
Remember that the slope is the difference in y's / the difference in x's, also known as rise/run.
 
For question 1, the point B would have to fall on the same line formed by O and A. 
 
m(O,A) = 3/5. If we go up another 3 and over another 5 from A, we get (10,6).
 
(6-0)/(10-0) = (6-3)/(10-5)
6/10 = 3/5. True.
 
For question 2, we go up 3 and over 4 from A and get (9,6). Now, using the Pythagorean Theorem, we see that 32 + 42 = 52. 9 + 16 = 25. True.
Report

01/07/15

Jazzy T.

Thank you for all of your help. 
 
I have another completely different question:
 
USE ATTRIBUTE BLOCKS
Take the large thick red triangle, the large thick blue circle, the small thin yellow square, the large thin blue hexagon, the small thick yellow circle, the small thin blue hexagon, the large thick red square, the small thick red rectangle, and the large thick blue rectangle. How many different ways can you find to arrange the blocks in a three-by-three grid, using the following rules?
 
Rules:
  • no similar shapes can share the same row- horizontal, vertical, or diagonal
  • one row has to be all the same color.
  • all red blocks have to be next to each other
Report

01/08/15

Jazzy T.

FOUR MORE QUESTIONS! I REALLY NEED HELP ON THESE! I DONT UNDERSTAND EACH ONE AT ALL! PLEASE TAKE ME TO THE PROCESS OF ANSWERING IT AND GIVE THE FINAL ANSWER!
 
1) Use two regular 6-sided dice and a coin.
Spalding and his sister want cheeseburgers, but neither wants to get up and cook them. Thinking quickly, Spalding proposes that they flip a coin to determine who does the cooking. He says whoever gets heads does the cooking. His sister wants to roll two dice and add the numbers. She says whoever gets an even sum does the cooking. Spalding says that his sister's method is unfair. Which method is fairer to both? Which method would give Spalding a greater chance of winning? Experiment to find out. Explain your answer with a table of your results and in words.
 
2) Use a protractor.
The woodworking class is making clocks. If the radius of the circle on each clock face is 10 inches, approximately how much space should be between the hour marks? How much between the minute marks?
 
3) The women's fitness center offers a special daily walk-in rate of $7 per visit, or a yearly membership of $295. Make a graph that will most accurately and efficiently allow you to figure out which plan is a better deal for someone who works out ever fifth day, every third day, or once a week. Explain why you chose to make your graph as you did, and demonstrate that it gives you accurate answers.
(for this one, im just not sure what the best kind of way of showing the information is) 
 
4) Griselda wants to buy an elephant, so she needs to get a loan. One bank offers loans at 19.5% interest per month. A second bank offers for 17.4% per month plus a one-time fee of 10% of the amount of the loan. A third bank charges no interest for the first two months, 1% for each of the second two months, and doubles the percentage of interest for each of the two months thereafter. If Griselda needs to borrow $60,000 and can pay $600 per month, which loan should she take? Estimate first, then check your answwer by calculating the total amounts Griselda would have to pay for each of the three loans.
Report

01/12/15

Still looking for help? Get the right answer, fast.

Ask a question for free

Get a free answer to a quick problem.
Most questions answered within 4 hours.

OR

Find an Online Tutor Now

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.