-6/23
when dividing by a fraction you flip it and multiply by the reciprocal, so you get -1/4 times 24/23
-1*24
4*23
which becomes -6/23
The triangles are said to be similar, so the measures of sides in the larger triangle are proportional to the measures of sides in the smaller triangle. The measures of the two long sides have the ratio 182:65, so we expect the ratio of the shortest sides to be the same:
... ? : 45 = 182 : 65 . . . or . . . ?/45 = 182/65
Multiplying the equation by 45 gives us
... ? = 45·(182/65) = 126
The appropriate choice is ...
... C. 126
2x+1=5x-44 that would be your equation
next start to simplify
subtract 1 from both sides so you are left with 2x=5x-45
then subtract 5x from both sides and you have -3x=-45
then finally divide -3 from -45 to get x=15
Answer:
See below for answers and explanations
Step-by-step explanation:
<u>Problem 1:</u>
A standard deck of cards contains 52 cards, consisting of 13 spades. If you select only one randomly, the probability of that occurring would be 13/52 or 1/4. Since there are only 26 red cards in a standard deck, then the probability of selecting a red card would be 26/52 or 1/2. Because the two events are independent of each other, their probabilities are multiplied. Therefore, the probability of selecting a spade, and then replacing it in hopes of drawing a red card is (1/2)(1/4) = 1/8.
<u>Problem 2:</u>
We are selecting a spade and then another spade while NOT replacing the first spade (remember that these events are independent of each other also). This means that the total card count will change by picking up the second card. Therefore, the probability of selecting a spade, followed by another spade, is (13/52)(12/51) = 156/2652 = 1/17.
Is it together or different questions to the reading
