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Taya2010 [7]
3 years ago
7

Traci is running a trail in Hanna Park. She can run one mile in ten minutes. Yoni is running the same trail as Traci. Yoni can r

un a mile in five minutes but starts running 20 minutes after Traci started on the trail. If they start the trail from the same point, after how many miles will it take Yoni to catch Traci?
Mathematics
1 answer:
Mumz [18]3 years ago
3 0

Answer:

3 miles. She will have to run roughly 3-4 miles to catch up

You might be interested in
If p q r is prime numbers such that pq+r=73, what is the least possible value of p+q+r
Jobisdone [24]
The answer to this question would be: p+q+r = 2 + 17 + 39= 58

In this question, p q r is a prime number. Most of the prime number is an odd number. If p q r all odd number, it wouldn't be possible to get 73 since
odd x odd + odd= odd + odd = even
Since 73 is an odd number, it is clear that one of the p q r needs to be an even number. 

There is only one odd prime number which is 2. If you put 2 in the r the result would be:
pq+2= 73
pq= 71
There will be no solution for pq since 71 is prime number. That mean 2 must be either p or q. Let say that 2 is p, then the equation would be: 2q + r= 73

The least possible value of p+q+r would be achieved by founding the highest q since its coefficient is 2 times r. Maximum q would be 73/2= 36.5 so you can try backward from that. Since q= 31, q=29, q=23 and q=19 wouldn't result in a prime number r, the least result would be q=17
r= 73-2q
r= 73- 2(17)
r= 73-34=39

p+q+r = 2 + 17 + 39= 58
6 0
3 years ago
Read 2 more answers
It takes Ben 2 days to write reports, and it takes Kate 3 days to write reports. Bens rate, in reports per day, is how much grea
sergejj [24]

Answer:

Ben's rate is \dfrac{1}{6} greater than Kate's rate.

Step-by-step explanation:

1. If it takes Ben 2 days to write reports, then his rate is \dfrac{1}{2} of reports per day.

2. If it takes Kate 3 days to write reports, then her rate is \dfrac{1}{3} of reports per day.

3. Ben's rate is

\dfrac{1}{2}-\dfrac{1}{3}=\dfrac{3-2}{6}=\dfrac{1}{6}

greater than Kate's rate.

4 0
3 years ago
2[3(4^2 +1)] - 2^3.
Sav [38]

Answer:

94

Step-by-step explanation:

Do parentheses first, exponents inside them first. 4^2 = 16, + 1 is 17, then multiply by the 3 outside to get 51, then multiply by the 2 outside that to get 102, - 2^3 which is -8 = 94

7 0
3 years ago
Mark the points A(5, 5) and B(7.2). Draw a circle that has point A as the center and passes through point B. Measure and label t
olasank [31]

Answer:

i think 4 units im not sure though though

Step-by-step explanation:

4 0
3 years ago
A limousine company charges a fixed cost for a limousine and an hourly rate for it's driver. It cost $500 to rent a limousine fo
mr Goodwill [35]

Answer: the fixed cost to rent the limousine is $200

Step-by-step explanation:

Let x represent the fixed cost rent the limousine.

Let y represent the cost of of hiring the driver of the limousine per hour.

It cost $500 to rent a limousine for 5 hours. This means that

x + 5y = 500 - - - - - - - - - - -1

It costs 800 to rent a limousine for 10 hours. This means that

x + 10y = 800 - - - - - - - - - - -2

Subtracting equation 2 from equation 1, it becomes

- 5y = - 300

y = - 300 /- 5

y = 60

Substituting y = 60 into equation 1, it becomes

x + 5 × 60 = 500

x + 300 = 500

x = 500 - 300

x = 200

5 0
3 years ago
Read 2 more answers
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