Answer:
The first prime factor we test is 2:
52 / 2 = 26
26 / 2 = 13
13 is a prime number so the prime factorization is
2 * 2 * 13 = 52
Step-by-step explanation:
Answer:
There is a 3/20 chance that a red plastic marble will be taken out on random.
Step-by-step explanation:
This is because there are 14 yellow marbles, and 6 red marbles. Along with this, half of the red marbles are made out of plastic. This leaves 3/6 of the red marbles made out of plastic. When combined with the yellow marbles, you'll add 14 to the denominator, since there are 14 yellow marbles. (Red + Yellow = Total Number Of Marbles) This leads to a total count of 3 marbles of the 20 total marbles, being red and made out of plastic.
Answer:
280 degrees
Step-by-step explanation:
To change radians to degrees, we can use the conversion factor
180/pi
14 pi/9 * 180/pi
Canceling like terms
14/9 * 180
280 degrees
9514 1404 393
Answer:
(c) BK = 65
Step-by-step explanation:
Corresponding sides are proportional in similar triangles, so ...
ZT/ZQ = KF/KB
27/(2x +7) = 45/(4x+1)
27(4x+1) = 45(2x +7) . . . cross-multiply
3(4x +1) = 5(2x +7) . . . . divide by 9
12x +3 = 10x +35 . . . . . eliminate parentheses
2x = 32 . . . . . . . . . . . . . subtract 10x+3
x = 16 . . . . . divide by 2
Then the length of BK is ...
BK = 4x+1 = 4·16 +1
BK = 65
Answer:
The expression is not equivalent to other three is 9(n-9) .
Option (B) is correct .
Step-by-step explanation:
Take first expression
= -9 -7n + 16n
= 9n-9
Take second expression
= 9(n-9)
= 9 × n - 9 × 9
= 9n - 81
Take third expression
= n-9+8n
= 9n-9
Take fourth expression
= 9n-9
Therefore expression is not equivalent to other three is 9(n-9) .
Option (B) is correct .
