Answer:
Let w be the width of the rectangle. The length would be 2w+3. The area of the rectangle would be w(2w+3)=189.
So 2w2+3w-189=0 Solving for w you get w=9 or -10.5. Ignoring negative value Width of the rectangle would be 9mm and length of the rectangle would be 21mm giving you the area 189 square mm.
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Answer:
0.6
Step-by-step explanation:
A permutation is an arrangement of outcomes whereas a combination is a grouping of outcomes.
Order matters in case of permutations but does not matter in combinations.
Given:
Number of red marbles = 3
Number of white marbles = 2
Number of green marbles = 1
To find: probability of picking 4 marbles and getting one of each color
Solution:
Total number of outcomes = =
Number of favourable outcomes = 2 red, 1 white and 1 green marble + 1 red, 2 white and 1 green marble = =
So, probability of picking 4 marbles and getting one of each color = Number of favourable outcomes/Total number of outcomes =
GCF is the greatest common factor of two or more numbers
To find it factorize the numbers and find their common factor, and choose the greatest one
Let us find the factors of 35
35 = 1 * 35
35 = 5 * 7
Then the factors of 35 are 1, 5, 7, 35
Let us find the factors of 25
25 = 1 * 25
25 = 5 * 5
Then the factors of 25 are 1, 5, 25
The common factors of 35 and 25 are 1, 5
The greatest is 5
So the GCF of 35 and 25 is 5
Answer:
2 mph
Step-by-step explanation:
The relationship between time, speed, and distance is ...
time = distance/speed
If s is the speed going up the mountain, then s+1 is the speed coming down. The total trip time for 6 miles up and 6 miles down is ...
6/s +6/(s+1) = 5
6(s+1) +6s = 5(s)(s+1)
5s^2 -7x -6 = 0 . . . . subtract the left side, simplify to standard form
(s -2)(5s +3) = 0 . . . . factor
s = 2 or -3/5 . . . . values that make the factors 0
Their speed was 2 miles per hour going up the mountain.
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<em>Check</em>
It took 6/2 = 3 hours to go up the mountain, and 6/(2+1) = 2 hours to come down, for a total of 5 hours.