Answer:
The correct answer is A) 4/663.
Step-by-step explanation:
First you find the probability of drawing a queen when drawing a single card from a deck of 52 cards. Since there are 4 queens(the queen of diamond, the queen of hearts, the queen of spades, and the queen of clubs) in a deck of 52 cards, the probability of drawing a queen when drawing a single card from a deck of 52 cards is 4/52.
Next you find the probability of drawing a king when drawing a single card from a deck of 51 cards(since you did not replace the first card you drew). Since there are 4 kings(the king of diamond, the king of hearts, the king of spades, and the king of clubs) in a deck of cards, the probability of drawing a king when drawing a single card from a deck of 51 cards is 4/51.
Then you multiply the two probabilities to determine the probability of drawing a queen then a king. So,
4/52 x 4/51 =
4 x 4/52 x 51 =
16/2652
Finally, simplify the fraction. The greatest number that can go into both the numerator and denominator is 4. So divide both the numerator and denominator by 4. When you do this, you get the following:
16 divided by 4 = 4 as the numerator and
2652 divided by 4 = 663 as denominator.
So, the final answer is 4/663.
Answer:
34, D
Step-by-step explanation:
Change 4 and 1/4 to an improper fraction
4 1/4 = 17/4
Now, you would divide 17/4 by 1/8...
17/4 divided by 1/8
Reciprocate the fraction 1/8 and change the division sign to multiplication to get...
17/4 multiplied by 8/1
= 136 / 4
Simplify
136 / 4
= 34
So, you can grow 34 plants.
Hope this helps!
9514 1404 393
Answer:
B 2(−10x+2y−1)
Step-by-step explanation:
The greatest common factor is 2. Factoring that out gives the factorization shown in choice B.
2(-10x +2y -1)
__
You could factor out -2. Doing that would give ...
-2(10x -2y +1) . . . . . . . doesn't match choice C
Answer:
Graphing inequalities on a numberline:
38 > x
The point is directly on 38, the circle is hallow which means greater than or less than NOT or equal too. The arrow is pointing downwards signifying that 38 is greater than x.
10 ≤ x
This circle is filled in which means greater than or equal too or less than or equal too, in this case the arrow is pointing upwards showing that X is greater than or equal to 10.
28 ≤ X
The point is on 28 and the circle is filled in which means which means greater than or equal too or less than or equal too, in this case it is showing that x is greater than o r equal to 28 because the arrow is going up the numberline (upwards).
16 > x
This circle is NOT filled in which is hallow meaning that it is greater than or less than (also depending on where the arrow is pointing towards too). The point is on 16 and is showing the arrow going down which means 16 is greater than x.
Let, the number be "x"
Now,
according to the question,
4x -8 = x -23....................This is your equation.
Now solving it,
4x - 8 = x - 23
4x - x = -23 + 8
3x = -15
x = -15 / 3
x = -5
Checking the answer,
4 (-5) - 8 = (-5) - 23
-20 - 8 = -5 - 23
-28 = -28......................................true
