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CaHeK987 [17]
3 years ago
7

Daniel runs laps every day at the community track. He ran 45 minutes each day, 5 days each week, for 12 weeks. In that time, he

ran 1,800 laps. What was his average rate in laps per hour?
Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
5 0

1800 laps in 12 weeks

1800/12 = 150 laps in 1 week

150/5 = 30 laps a day

30 laps in 45 minutes

x laps in 60 minutes

x = (30*60)/45 = 40 laps per hour

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PLEASE HELP ME!!!!!!!!!!!!!!!!!!
lilavasa [31]

Answer:

a) 4 - vt - d = \frac{1}{2} at^{2}

b) 1 - 2(vt - d) = at^{2}

c) 6 - \frac{2(vt - d)}{t^{2}} = a

Step-by-step explanation:

It simply asks the steps to go from the original displacement formula to isolate a (the acceleration).  It's just a matter of moving items around.

We start with:

d = vt - \frac{1}{2} at^{2}

We then move the vt part on the left side, then multiply each side by -1 (to get rid of the negative on the at side and to match answer choice #4):

vt - d = \frac{1}{2} at^{2}

Then we multiply each side by 2 to get rid of the 1/2, answer #1:

2(vt - d) = at^{2}

Finally, we divide each side by t^2 to isolate a (answer #6):

\frac{2(vt - d)}{t^{2}} = a

4 0
3 years ago
Solve for x. Show each step of the solution. 4.5(4 − x ) + 36 = 202 − 2.5(3x + 28)
Xelga [282]

Answer:

drdh

Step-by-step explanation:


7 0
4 years ago
Suppose a poker hand contains seven cards rather than five. Compute the probabilities of the following poker hands: (a) a seven-
geniusboy [140]

Answer:

a) 0.00031

b)  0.0017

c)  0.31

d) 0.00018

Step-by-step explanation:

attached below is the detailed solution

Total number of 7-poker cards are 52P7 = 133784560

A) Determine the probabilities of Seven-card straight

probability of seven-card straight = 0.00031

B) Determine the probability of four cards of one rank and three of a different rank

P( four cards of one rank and three of different rank ) = 0.0017

C) Determine probability of three cards of one rank and two cards of each two different ranks

P( three cards one rank and two cards of two different ranks ) = 0.31

D) Determine probability of two cards of each of three different ranks and a card of a fourth rank

P ( two cards of each of three different ranks and a card of fourth rank ) =  0.00018

8 0
3 years ago
PLEASE ANSWER!!!
love history [14]
Answer:

Answers in decimal form:
2.848 , -16.848

Answers in radical form:
-7 + sqrt(97) , -7 - sqrt(97)
3 0
3 years ago
IM GIVING BRAINLIEST
pychu [463]

See Below (Process and answer)

3 0
3 years ago
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