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
babunello [35]
3 years ago
8

Robert and Elaine ran around the high school track during gym class. robert ran 1/2 of the way around the track in 5/6 minute. L

ater in the day, elaina ran 3/4 of the way around the track in 9/10 minute. When they meet after school, Robert claims that he can run father in a minute than elaina. Is he correct or incorrect?Explain your reasoning.
Unpack the problem:



Make a plan:



Solution:



Look back and explain:
Mathematics
1 answer:
jok3333 [9.3K]3 years ago
5 0

<u>Answer</u>


Incorrect


<u>Explanation</u>

Unpack the problem:

Let the distance round the track to be X.

Speed is the ratio of distance to time.

Robert run a distance of (1/2)x

Elaine run a distance of (3/4)x


Make a plan:

Finding the speed of each.

Compare their speeds to determine who ran faster than who.


Solution:

Robert's speed =(1/2)x/(5/6)

=1/2×6/5x

= (3/5)x

= 0.6x

Elaine's speed = (3/4)x/(9/10)

= (3/4)×(10/9)x

= (5/6)x

= 0.83333x



<em>Elaine ran faster than Robert. </em>


<u>Look back and explain:</u>

0.83333x > 0.6x

Elaine's speed is higher than Robert's speed.

This shows that Elaine ran faster than Robert.

You might be interested in
Which equations represent the line that is perpendicular to the line 5x − 2y = −6 and passes through the point (5, −4)? Select t
nignag [31]

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

y = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

On the other hand we have that if two lines are perpendicular, then the product of their slopes is -1. So:

m_ {1} * m_ {2} = - 1

The given line is:

5x-2y = -6\\-2y = -6-5x\\2y = 5x + 6\\y = \frac {5} {2} x + \frac {6} {2}\\y = \frac {5} {2} x + 3

So we have:

m_ {1} = \frac {5} {2}

We find m_ {2}:m_ {2} = \frac {-1} {\frac {5} {2}}\\m = - \frac {2} {5}

So, a line perpendicular to the one given is of the form:

y = - \frac {2} {5} x + b

We substitute the given point to find "b":

-4 = - \frac {2} {5} (5) + b\\-4 = -2 + b\\-4 + 2 = b\\b = -2

Finally we have:

y = - \frac {2} {5} x-2

In point-slope form we have:

y - (- 4) = - \frac {2} {5} (x-5)\\y + 4 = - \frac {2} {5} (x-5)

ANswer:

y = - \frac {2} {5} x-2\\y + 4 = - \frac {2} {5} (x-5)

3 0
3 years ago
Read 2 more answers
(x³)² × x⁴ = ?<br>(it won't lemme type short)​
Alex73 [517]

Answer:

We have x^3^2 which is x^3*2 = x*6 times x*4 which is x*10

Hope this helped and brainliest please

4 0
2 years ago
Can someone help me solve this?
sdas [7]
The area of a triangle is base x height/2,
so all you have to do is multiply 6x20 to get 120 and then divide that by 2 to get 60 m squared!! :)
5 0
3 years ago
Help me pls its simple (hopefully)<br><br> pls dont guess
Rzqust [24]

Answer:

15.8 in.

Step-by-step explanation:

63.2 / 4 = 15.8

5 0
3 years ago
Valdez Company opened a special checking account. The charge for each check written was either $.55 or a $6-a-month minimum serv
masha68 [24]

Valdez Company opened a special checking account. The charge for each check written was either $.55 or a $6-a-month minimum service charge (whichever is greater). At the beginning of the month, the company checkbook balance was $695.18. Valdez Company wrote 14 checks totaling $312.88. Deposits of $188.10 and $195.10 were made during the month. What's Valdez's checkbook balance to start the next month (including the cost of check writing)?

6 0
3 years ago
Read 2 more answers
Other questions:
  • Find the measure of each angle please
    11·1 answer
  • Mathematics help please!!<br><br> Multiple questions - any help is appreciated!!
    7·1 answer
  • What is the word name for 20,004
    12·1 answer
  • HELP! Look at the figure, PQRS. Find the values of ​x and y. a) x = 5, y = 7 b)x = 6, y = 8 c)x = 6, y = 9 d)x = 7, y = 10
    15·1 answer
  • Combine like terms - 7 -3(4-2x)-10x
    7·2 answers
  • 6+4/5b=9/10b solve for b
    11·2 answers
  • What is the result of an increase by 2/3
    12·2 answers
  • 2a + 3(6a + 5z) – 4z<br> answer quickly please i gotta do this before tn
    11·1 answer
  • Simplify each of the the following expression
    7·1 answer
  • Help me pls bro bro ​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!