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Eva8 [605]
2 years ago
14

The Fun Committee is hosting the Annual City Festival. Jennifer is in charge of the committee and is planning a race to raise mo

ney for the Festival. The runners will earn money from donors for the number of miles they run. If the runners start at the park, run to City hall, and then run back to the park, how many total miles will each runner run? Show your work and leave your answer in simplest radical form if necessary.

Mathematics
1 answer:
Sidana [21]2 years ago
6 0
We need to find the distance between (7, 5) and (10, 11) and double it, since they run it twice. We can do this as follows: 2√(11-5)² + (10-7)² = 2√36 + 9 = 2√45 = 6√5.
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Hope this helps!
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While driving home for the holidays, you can’t seem to get Little’s Law out of your mind. You note that your average speed of tr
suter [353]

Answer:

1,200 cars per hour

Step-by-step explanation:

Let's suppose the car flow is constant and based on the observations stated in the problem.

If we set and imaginary car counter where your car is, then there are 25 cars in ¼ of a mile (including yours) going at your same speed.

Now compute how long it will take to travel ¼ mile. As your speed is constant 60 mph, we can cross multiply  

60 miles -----------> 1 hour

¼ of a mile --------> x hours

and

60/ (¼) = 1/x ---------> x = 1/240 hours.

This means that in 1/240 hours the 25 cars will be passing the counter.

Now compute how many cars will pass through our counter in 1 hour. Again, cross multiplying

1/240 hours -------> 25 cars

1 hour --------------> x cars

and

1/240 = 25/x -------> x = 25*240 = 1,200 cars.

So, the flow rate of the highway (going in your direction) in cars per hour is 1,200 cars per hour.

7 0
2 years ago
What value digit in 2,417 is ten times as value of the digit in 2,147
3241004551 [841]

Answer:

4 in 2,417

4 in 2,147

Step-by-step explanation:

the place value of 4 in 2,417 is HUNDREDS

while the place value of 4 in 2,147 is TENS

Therefore the place value of 4 in 2,417 is ten times the value of 4 in 2,147

3 0
2 years ago
An election for a new treasurer was held at a recent trade conference. In the election, Jamal received 40% of the votes, and his
Maurinko [17]

Answer:

Jamal received 2,880 votes

Step-by-step explanation:

In the election,

Jamal received 40% of all votes

Tran received 100% - 40% = 60% that is 4,320 votes

Let x be the number of votes Jamal received. Then

x - 40%

4,320 - 60%

Write a proportion:

\dfrac{x}{4,320}=\dfrac{40}{60}\\ \\\text{Cross multiply}\\ \\60\cdot x=40\cdot 4,320\\ \\x=\dfrac{40\cdot 4,320}{60}=\dfrac{2\cdot 4,320}{3}=\dfrac{2\cdot 1,440}{1}=2,880

5 0
2 years ago
The table summarizes the scoring of a football game between Team A and Team B. A touchdown (TD) is worth 6 points, a field goal
Anit [1.1K]
If you would like to find the final score, you can do this using the following steps:

Team A: 6 points * 3 + 3 points * 2 + 2 points * 1 + 1 point * 0 = 6 * 3 + 3 * 2 + 2 * 1 + 1 * 0 = 18 + 6 + 2 + 0 = 26 points
Team B: 6 points * 4 + 3 points * 4 + 2 points * 1 + 1 point * 2 = 6 * 4 + 3 * 4 + 2 * 1 + 1 * 2 = 24 + 12 + 2 + 2 = 40 points

The final score of team A is 26 points and the final score of team B is 40 points.
3 0
2 years ago
During the 2010 baseball​ season, the number of wins for three teams was three consecutive integers. Of these three​ teams, the
uysha [10]

Answer:

76075, 76076, 76077

Step-by-step explanation:

<u>There are 3 teams; Team A, Team B and Team C</u>

<em>Team A has most wins</em>

<em>Team C has least wins</em>

<em>Team B is in between</em>

<u>All these will be consecutive numbers.</u>

<em>Team B: x</em>

<em>Team A: x + 1 (most wins)</em>

<em>Team C: x - 1 (least wins)</em>

<em>Team A + Team B + Team C = Total number of wins</em>

x + x + 1 + x - 1 = 228228

3x = 228228

x = 76076

<em>Wins of Team B : x =</em> 76076

<em>Wins of Team A : x + 1 = 76076 + 1 =</em> 76077

<em>Wins of Team C : x - 1 = 76076 - 1 =</em> 76075

Therefore, in the 2010 season, Team A had 76077 wins, Team B had 76076 wins and Team C had 76075 wins.

!!

6 0
2 years ago
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