7 ¾ - 1 2/7 - 3/2 = ?????????????????????
1 answer:
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Answer:
length = 6 yards
width = 3.5 yards
Step-by-step explanation:
the length of a rectangle is 1 yard less than twice the width
LEt 'w' be the width of the rectangle
and 'l' be the length of the rectangle
length l = 2 times the width -1
so l = 2w -1
Area of the rectangle = length * width
Area = l * w
we know length is 2w-1 and given area = 21
21 = (2w-1) * w
subtract 21 on both sides
now solve for 'w'
0 = 2w(w+3)-7(w+3)
0= (2w-7)(w+3)
2w-7 = 0 and w+3 =0
w = 7/2 w=-3
width cannot be negative so we ignore w=-3
width w= 3.5
length = 2w-1= 2(3.5) - 1= 7-1=6
length = 6 yards
Given:
Number of red marbles = 5
Number of blue marbles = 4
Number of yellow marbles = 3
To find:
The probability of pulling a red marble, then pulling a blue marble, without replacement.
Solution:
Probability formula:
We have,
Number of red marbles = 5
Total number of marbles is:
Probability of getting a red marble is:
After selecting one red marble, the remaining number of marbles is 11 and the number of blue marbles is 3. So,
Now, the probability of pulling a red marble, then pulling a blue marble, without replacement is:
Therefore, the correct option is B.