Answer:
Step-by-step explanation:
- speed = distance / time
- time = distance / speed
a)
i)
<u>Time taken at the first part:</u>
ii)
<u>Time taken at the second part:</u>
- (190 - 105) / (x + 12) =
- 85/(x + 12)
b)
<u>If time is 3 hours and 15 minutes = 3 1/4 hours = 13/4 hours, the equation is:</u>
- 105/x + 85/(x + 12) = 13/4
- 4(x + 12)*105 + 4(85x) = 13x(x + 12)
- 13x² - 604x - 5040 = 0
c)
<u>Solve the equation:</u>
- 13x² - 604x - 5040 = 0
- x = [604 ± √((-604)² + 4*13*5040) ]/26 =
- [604 ± √626896]/26 =
- [604 ± 791.77]/26
- x = (604 + 791.77)/26 = 53.68 km/h (taking positive root only)
d)
- 105/x = 105/53.68 h = 1.956 h = 1 h 0.956*60 min = 1 h 57 min (rounded)
- 85/(53.68 + 12) = 85/65.68 = 1.294 h = 1 h 0.294*60 min = 1 h 18 min (rounded)
Answer:
5 units right and 2 units down
Answer:
vertex form.f(0+x)+7 -y(-6 +y)-2
Step-by-step explanation:
this is what I understand it about
This problem is all about probability. It is the study of predicting the likelihood or chances of a certain event to happen out of all the possibilities. It is always expressed as a part of a whole. Therefore, the answer is either in fraction or in percentage.
A standard deck of card consists of 52 cards all in all. There are 13 diamond cards within the deck. So, the probability of getting a diamond card is 1/52. But we are given with a conditional probability. The first draw is sure to pick a diamond. So, the probability for this is 1 or 100%. But we should multiply this to the second scenario which is the 2nd draw. If you picked a card already, that means the total number of cards is 52 less 1. Also, because you already picked a diamond in the first draw, the diamond cards left in the deck is 13 less 1. Therefore, the probability of getting a diamond card in the second draw is
Probability = 1 × 12/51
Probability = 12/51
The two triangles are similar
3x / 20 = (4x + 2) / (20 + 8)
3x / 20 = (4x + 2) / 28
28 * 3x = 20 * (4x + 2)
84x = 80x + 40
4x = 40
x = 10
answer
x = 10
