Answer:
-5/6
Step-by-step explanation:
Divide fractions is the same as multiplying the first by the reciprocal of the second. So this is now -(1/2)*(5/3). Then you multiply the top by the bottom to get -(5/6)
Answer:
The width of the rectangular park is 40m.
Step-by-step explanation:
We are given that the area of a square has the same area as the rectangle (the fact that they're parks doesn't matter)
We are also given one length side of the square, and since squares have all equal sides, we know all the side lengths are 60m.
To find Area, we do L * W, so it would be 60 * 60 = 3600.
That means the area of the rectangle park is 3600m. One side of the rectangle is 90m, so the formula is L * W = A. So we plug in known values of the rectangle which would be 90 * W = 3600. To find W, we do 3600/90 which is 40.
Let me know if you have any questions
Answer:
Step-by-step explanation:
Let's let B represent the amount of blue cubes, Y represent the amount of yellow cubes, and G represent the amount of green cubes.
We know that there are three times as many blue cubes as yellow cubes. In other words:
We also know that the are as five times as many green cubes as blue cubes. So:
If Sarah takes a random cube, the chance it will be a yellow cube will be the total amount of yellow cubes over the total amount of cubes. In other words:
We can simplify this. Let's substitute 5B for G. This yields:
Combine like terms:
We can then substitute 3Y for B. This gives us:
Multiply:
Again, add:
We can now cancel out the Y:
So, the chance of Sarah picking out a yellow cube is 1/19 or about 5.3% chance.
And we're done!