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
pentagon [3]
3 years ago
11

Robert ran a race that was 2/3 of a mile in length. If he has completed 5/6 of the race, how far has he run in miles?

Mathematics
1 answer:
Darina [25.2K]3 years ago
7 0

Answer:

5/9

Step-by-step explanation:

Let's begin by determining the factors of the problem. We know that Robert ran a race that is 2/3 of a mile long. Therefore, we know that 2/3 is a factor in the equation. We also know that, of the 2/3 mile, he ran 5/6 of it. Now the tricky part is deciding how the two fractions are related.

To make this easier, let's substitute a different number for 5/6. We'll say 2.

If he has completed TWICE the length of the race, how would you determine how far he ran?

You would multiply 2/3 by 2! This same principle can be applied to the problem.

To determine the total distance run in miles, we can write it as 2/3 * 5/6

(NOTE that * is known as "times" or "multiplied by")

With this, you multiply the numerators (2 * 5 = 10) and the denominators (3 * 6 = 18) and then make your fraction... 10/18!

But you're not done yet. Always remember to simplify when possible. Both terms are divisible by 2. Therefore, it can be written as 5/9.

Hope this helped!

You might be interested in
Helppp plzzzzzz help me right now plz i need help
Bond [772]

Answer:

the third one is the correct answer

5 0
3 years ago
At 8:00 a.m., there were t inches of snow on the ground. At 5:00 p.m., there were 3t inches of snow on the ground. How many more
Anastaziya [24]

we conclude that at 5:00 p.m. there are 8 more inches of snow than at 8:00 a.m.

<h3>How many more inches of snow were on the ground at 5:00 p.m. than at 8:00 a.m.?</h3>

We know that at 8:00 a.m. there were t inches of snow in the ground.

At 5:00 p.m. there were 3t inches of snow in the ground.

Then the difference between the heights of the snow is:

3t- t = 2t

And we know that at 5:00 p.m. there were 12 inches of snow then we can solve the linear equation for t:

3t = 12in

t = (12in)/3 = 4 in

Replacing that in the difference of heights:

2t = 2*4in = 8in

From this, we conclude that at 5:00 p.m. there are 8 more inches of snow than at 8:00 a.m.

If you want to learn more about linear equations:

brainly.com/question/1884491

#SPJ1

3 0
2 years ago
When surveyed,the student who preferred science class to English class was 5:4 if 90 students were surveyed how many students ch
svp [43]
50. i’m sure you’re learning the proper mathematical way to do that, but my brain went ‘4+5 is 9. that’s 10 times less than 90’
7 0
3 years ago
Which of the following values are solutions to the inequality x-8&lt; -2?
avanturin [10]

Answer:

r=8 is a solution. Explanation: To tell whether the given value is a solution to the inequality, we have to solve the inequality. r−3≤9

r=8 is a solution. Explanation: To tell whether the given value is a solution to the inequality, we have to solve the inequality. r−3≤9 Add 3 ... More

Step-by-step explanation:

r=8 is a solution. Explanation: To tell whether the given value is a solution to the inequality, we have to solve the inequality. r−3≤9

r=8 is a solution. Explanation: To tell whether the given value is a solution to the inequality, we have to solve the inequality. r−3≤9 Add 3 ... Morep

5 0
3 years ago
What situations would solve by graphing be your preferred choice? Give an example.
Damm [24]

Answer:

1) The solve by graphing will the preferred choice when the equation is complex to be easily solved by the other means

Example;

y = x⁵ + 4·x⁴ + 3·x³ + 2·x² + x + 3

2) Solving by substitution is suitable where we have two or more variables in two or more (equal number) of equations

2x + 6y = 16

x + y = 6

We can substitute the value of x = 6 - y, into the first equation and solve from there

3) Solving an equation be Elimination, is suitable when there are two or more equations with coefficients of the form, 2·x + 6·y = 23 and x + y = 16

Multiplying the second equation by 2 and subtracting it from the first equation as follows

2·x + 6·y - 2×(x + y) = 23 - 2 × 16

2·x - 2·x + 6·y - 2·y = 23 - 32

0 + 4·y = -9

4) An example of a linear system that can be solved by all three methods is given as follows;

2·x + 6·y = 23

x + y = 16

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Create a graph showing the equations y=1/4x and y=1/4x-5. Explain how the graphs are the same and how their different
    9·1 answer
  • Use the substitution method to solve this
    8·1 answer
  • What tupe of group number is 3/4. A. Real, B. Rational, C. Irrational, D. Integer, E. Whole, F. Counting
    11·2 answers
  • Can anyone help with the second part, please
    13·1 answer
  • The mixed number of 31/6
    12·2 answers
  • 2) -88, 93, 4, 91, -15, 6
    6·1 answer
  • A drink contains 20% mango juice and the rest is apple juice. What is the ration of mango juice to apple juice
    9·2 answers
  • Evaluate the expression shown below and write your answer as a fraction in simplest form. Please
    10·2 answers
  • Determine the longest distance inside a rectangular prism with dimensions of 8 ft x 3 ft by 9 ft
    11·1 answer
  • Garcia is modeling the equation 5x
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!