The trail around the lake is 7 kilometer long. It takes Manuel 35 minutes to run the trail. What is his unit rate?

Answers

Answer 1
Answer: His basic unit rate would be one kilometer per five minutes, I hope this helped.  If you have more questions please feel free to ask, and have a nice day! =)

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Find the tenth term in each sequence. -1,2/3,7/3,4,17/3

Answers

It'a an arithmetic sequence:

a_1=-1\n\na_2=-1+(5)/(3)=-(3)/(3)+(5)/(3)=(2)/(3)\n\na_3=(2)/(3)+(5)/(3)=(7)/(3)\n\na_4=(7)/(3)+(5)/(3)=(12)/(3)=4\n\na_5=4+(5)/(3)=(12)/(3)+(5)/(3)=(17)/(3)\n\vdots\n\n\text{The general formula for nth term of an arithmetic sequence}\n\na_n=a_1+(n-1)d\n\n\text{We have}\ a_1=-1\ \text{and}\ d=(5)/(3).\n\n\text{Substitute}\n\na_n=-1+(n-1)\left((5)/(3)\right)=-1+(5)/(3)n-(5)/(3)=(5)/(3)n-(3)/(3)-(5)/(3)

\boxed{a_n=(5)/(3)n-(8)/(3)}

To the nearest 10 thousand the population of vermont was estimated to be about 620,000 in 2008. what might have been the exact population of vermont in 2008?

Answers


the answer is still 620,000 and I had this question before

Andrew jogs for 3 miles each day on the weekdays and for 6.5 miles each day over the weekend. What is the average distance that Andrew covers everyday? mi

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3 miles x 5 week days = 15 miles

6.5 miles x 2 days over the weekend= 13

13 miles + 15 miles = 28

28 miles/ 7 days of the week= 4 miles on average per day


Is 19cm, 12cm, and 9cm a obtuse?​

Answers

I believe not, has to be more than 90° and less than 180°.

The Alan Company bought 80 tickets for a jazz company. After giving away 20 tickets to customers, the company sold the rest to the employees for half of the purchase price. If the company absorbed a $1,000 loss on all tickets , how much did an employee pay for a ticket.

Answers

Each employ paid 166.67 for each ticket

PLEASE HELP.....................

Answers

Answer:

I believe the answers are C, D, and E. Sorry if I am wrong.

2 answers: choice B, choice F

Explanation:

The discriminant is

D = b^2 - 4ac

D = (-5)^2 - 4(3)(-1)

D = 25 + 12

D = 37

This means 37 is under the square root, and we know the answers are B and F due to this. Also note with these two answer choices, they are in the form (-b \pm √(D))/(2a) where...

  • a = 3, so 2a = 2*3 = 6
  • b = -5, so -b = -(-5) = 5

Choices A, C, D, and E can be eliminated as the discriminant for these is D = 13.