Answer: 12 days
Step-by-step explanation:
Based on the question, we have to list the multiples of 3 and 4. This will be:
3 = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30
4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40.
The lowest common multiple is 12.
It will take 12 days before Korey runs and swims again on the same day.
Answer:
2. x = 47
3. x = 2
These problems involve proportions, or equivalent ratios. You can solve for 'x' in each by using cross-multiplication and division.
2. 28(7) = 4(x + 2)
Distribute = 196 = 4x + 8
Subtract 8 from both sides: 196 - 8 = 4x + 8 - 8 or 188 = 4x
Solve for x: x = 47
3. 2(2x + 7) = 11(3x - 4)
Distribute: 4x + 14 = 33x - 44
Add 44 to both sides: 4x + 14 + 44 = 33x - 44 + 44 or 4x + 58 = 33x
Subtract 4x from both sides: 4x + 58 - 4x = 33x - 4x or 58 = 29x
Solve for x: x = 2
Substitute the numbers in the equation:
Since L=5in, W=4in and H=8in:
Therefore, the volume is equal to 160 inches cubed.