Work backwards!
282 -12 =270
270/3.6 = 75
75 + 6 =81
81 * 3= 243
He started with 243
Answer:
x = 14, y = 37.
Step-by-step explanation:
9x + 12 = 4y - 10 (exterior alternate angles are equal)
9x - 4y = -22 ..........A
The angle which is interiorly alternate to 3x is 180 - (9x + 12), so:
3x = 180 - (9x + 12) (interior alternate angles are equal)
3x + 9x = 168
12x = 168
x = 14
Substitute x = 14 into equation A:
9(14) - 4y = -22
4y = 9(14) + 22
4y = 148
y = 37.
Answer:
"13 / 204 ; No, they are dependent events
"
Step-by-step explanation:
The probability of getting a club at first throw is simply total number of clubs divided by total number of cards in the deck.
Total clubs is 13
Total cards in deck is 52
Hence, P(clubs) =
<em>Since the first card IS NOT replaced, the deck has now 51 cards. We want probability of diamond. There are still 13 diamonds, so probability of diamond now would be 13/51</em>
<em />
Hence, Probability that first card is a club and the second card is a diamond should be 13/52 MULTIPLIED by 13/51
P(1st Club, 2nd Diamond) =
<u></u>
<u>Note: </u>They are dependent events since we are calculating probability without replacement. The first draw affected the total number of cards in the 2nd draw.
2nd answer choice is right.
Step-by-step explanation:
x:180-30-25=125
y:180-125=55
x=125