If bobby has three more than double the amount of jelly beans that marcus has and if marcus has 30 jelly beans, then bobby will have 63 jelly beans.
The value of y can be calculated by translating the equation such that we solve y in terms of x.
-3x - 8y = 10
-8y = 10 + 3x
y = (10 + 3x) / -8
Then, we substitute 2 to the x in the equation.
y = (10 + 3(2)) / - 8 = 16/-8
y = -2
Thus, the value of y in the equation is -2.
For this case, the full length of the log is equal to 1.
Therefore, the remaining length, we can obtain it by means of the following expression:
Rewriting we have:
Then, subtracting both numbers we have:
Answer:
The remaining amount of log is given by:
Before we solve, let's define what a scale factor is. A scale factor is a certain number that can be multiplied or divided by to get a smaller or bigger image that's similar to the current image.
We have 48 by 36 as our original.
It has been reduced to an 8 by 6.
This means we must divide.
Before we get into any complicated ideas, if any, let's try a simple trick.
Divide 48 by 8 and 36 by 6. This should give us a scale factor if they give us the same quotients.
48 / 8 = 6
36 / 6 = 6
It turns out our scale factor is 1/6 (the same as dividing by 6).
The answer cannot be 1/8 because 36 / 8 doesn't give us 8 as a quotient.
The answer also cannot be 6 because we'd have to mutliply our current sides by 6 to get the new image, which it was the opposite.
By elimination and work shown, A.) 1/6 is the correct answer.
I hope this helps!
