Step-by-step explanation:
The prime numbers 5 and 3 are both factors that are common to 30 and 75. The product of these factors is 3×5 = 15. Thus, the “Greatest Common Factor” of 30 and 75 is 15.
Answers:
shortest side = 20 feet
medium side = 26 feet
longest side = 34 feet
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Explanation:
x = first side
y = second side
z = third side
Assume x < y < z
y = x+6 since the second side is 6 ft longer than the shortest (first) side
z = 2x-6 because "third side that is 6 feet shorter than twice the length of the shortest side"
P = 80 is the perimeter
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x+y+z = P
x+x+6+z = P .... plug in y = x+6
2x+6+2x-6 = P ... plug in z = 2x-6
4x = P
4x = 80 ... plug in P = 80
x = 80/4 ... divide both sides by 4
x = 20
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first side = x = 20 feet
second side = y = x+6 = 20+6 = 26 feet
third side = z = 2x-6 = 2*20-6 = 34 feet
So,
x = 20, y = 26, z = 34
are the three side lengths
x+y+z = 20+26+34 = 80
and the three side lengths add to 80, so the answer checks out
Answer: 0.02257
Step-by-step explanation:
Given : Total cards in a deck = 52
Number of ways to select any 5 cards :
Since , there are total 13 kinds of card (includes Numbers from 2 to 9 and Ace , king, queen and jack).
Of each kind , there are 4 cards.
Number of ways to select three cards in a five card hand of a single kind :
Number of ways to select three cards in a five card hand of a exactly three of a kind :
Now , the required probability =
∴ The probability of being dealt exactly three of a kind (like three kings or three 7’s, etc.) in a five card hand from a deck of 52 cards= 0.02257
A. x + 5=12
7x = 21
B. b - 2/3 = 5/6
1/5m = 20
C. 45 = 3(x + 1)
D. 22.5 = 1.5x
E. Mark has $20 in his bank account. He saves $5 each week. How much money does Mark have in his account after 9 weeks? Use w to represent the number of weeks and t to represent the total amount Mark has after any number of weeks.