I believe that would be b
This question above is incomplete
Complete Question
Jim had 103 red and blue marbles. After giving 2/5 of his blue marbles and 15 of his red marbles to Samantha, Jim had 3/7 as many red marbles as blue marbles. How many blue marbles did he have originally?
Answer:
70 Blue marbles
Step-by-step explanation:
Let red marbles = R
Blue marbles = B
Step 1
Jim had 103 red and blue marbles.
R + B = 103.......Equation 1
R = 103 - B
Step 2
After giving 2/5 of his blue marbles and 15 of his red marbles to Samantha, Jim had 3/7 as many red marbles as blue marbles
2/5 of B to Samantha
Jim has = B - 2/5B = 3/5B left
He also gave 15 red marbles to Samantha
= R - 15
The ratio of what Jim has left
= Red: Blue
= 3:7
= 3/7
Hence,
R - 15/(3/5)B = 3/7
Cross Multiply
7(R - 15) = 3(3/5B)
7R - 105 = 3(3B/5)
7R - 105 = 9B/5
Cross Multiply
5(7R - 105) = 9B
35R - 525 = 9B............ Equation 2
From Equation 1, we substitute 103 - B for R in Equation 2
35(103 - B) - 525 = 9B
3605 - 35B - 525 = 9B
Collect like terms
3605 - 525 = 9B + 35B
3080 = 44B
B = 3080/44
B = 70
Therefore, Jim originally had 70 Blue marbles.
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Number of 1/4 inches cubes length-wise:
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Number of 1/4 inch cubes width-wise:
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Number of 1/4 inch cubes height-wise:
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Total number of 1/4 inch cubes:
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16 x 32 x 9 = 4608
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Answer: 4608 cubes are needed to fill the rectangular prism-------------------------------------------------------------------------------------
Answer:
452.16 cm³
Step-by-step explanation:
I assume the shape of the volcano is a cone.
V = (1/3)πr²h
r = d/2 = 12 in./2 = 6 in.
V = (1/3)(3.14)(6 in.)²(12 in.)
V = 452.16 in.²
B is less than or equal to -11