Answer:
34(43+33(jg
Step-by-step explanation:
Hi! I'm happy to help!
To solve this problem, we need to divide the recipe amount in 1/6 amounts. So, we will do a fraction division problem like this:
15
÷
This problem is hard to do with mixed numbers, so we need to turn 15
into an improper fraction. To do that we need to multiply 15 by 6, because that is our denominator, then add the extra
.
(15×6)+1
90+1
91
So, our improper fraction would be
, now, let's solve.
÷
It is difficult to do division problems on their own, so we can change this into an easier problem. We can do the inverse operation and turn this into multiplication. We do this by changing it to multiplication (obviously), then flip the second fraction.
×
Now, we just multiply the top by the top, and bottom by the bottom.

We could end it here, but we want a whole number, so, we simplify the number by dividing both the top and bottom by 6.

Anything over 1, is just a whole number
91.
<u>Therefore, the recipe should require 91 uses of the 1/6 cup.</u>
I hope this was helpful, keep learning! :D
5.1% =5.1/100=0.051
Therefore Multiplying 0.051 x 90
This gives 4.59
4. To solve this problem, we must simply subtract the volume of the smaller box from the volume of the larger box. The formula for volume of a rectangular prism is length * width * height. So we know that the bigger box has a height of 20 inches, a length of 15 inches, and a height of 9 inches. We can multiply these together to get the volume.
20 * 15 = 300
300 * 9 = 2700
The bigger box has a volume of 2,700 cubic inches.
Now for the smaller box. This box has a length of 12 inches, a width of 8 inches, and a height of 4 inches. Let us multiply this together:
12 * 8 = 96
96 * 4 = 384
The smaller box has a volume of 384 cubic inches.
Now, we just need to subtract.
2700 - 384 = 2316
There are 2,316 cubic inches of space left in Jeff's bigger box.
5. Mrs. Nelson has plans for a flower box that has two constant side lengths, the length and height (5 feet and 2 feet). The width can be any whole number (counting number) only up to 5 feet, so there are 5 different volumes she could have. Those are:
5 * 2 * 1 = 10 cubic feet
5 * 2 * 2 = 20 cubic feet
5 * 2 * 3 = 30 cubic feet
5 * 2 * 4 = 40 cubic feet
and
5 * 2 * 5 = 50 cubic feet
The possible volumes for Mrs. Nelson's flower box are 10, 20, 30, 40, and 50 cubic feet.
So there you have it!
Hope that helped! =)