Answer:
The original price of the coat is $ 73.5Step-by-step explanation:Let x be the original price( in dollars ) of the coat.
Step-by-step explanation:
For this case we must simplify the following expression:
Simplifying the numerator, dividing all the terms by 4, we have:
We factor by looking for two numbers that when added together give -8 and when multiplied by 12. These are: -6 and -2
So, we have to:
Simplifying the denominator:
We rewrite -17x as -18x + x:
We factor the highest common denominator of each group:
We factor the polynomial by factoring the highest common denominator (x-6):
So, we have to:
Substituting in the original expression we have:
ANswer:
Answer:
(b) (a) (d) (a) (c)
Step-by-step explanation:
(i) The probability of an even card is 1/2 because the number of even cards and odd cards are the same so there is a 50% of getting an even card. (b)
(ii) Since the card is replaced, there is still a card for all numbers between 1-20. There are 8 prime numbers and 20 cards so the probability of getting a prime number is 8/20 or 4/10 or 2/5. (a)
(iii) The card was not replaced so there are only 19 cards and there are only 5 numbers that are multiples of 3 and greater than 4. The probability must be 5/19. (d)
(iv) A sure event means that it will happen 100%. So P(A) = 1 since the number one represents 100%. (a)
(v) All cards have replaced and there is only one number that is a multiple of 3 and 5 which is 15. 1 card out of 20 is a desired outcome so 1/20 is the probability. (c)
