One prism with a volume of 2400 might have a rectangular base with a length of 4 and a width of 5, as well as a height of 120.
V = l x w x h
V = 4 x 5 x 120
V = 2400
This prism would essentially look like a really tall rectangle, since the height is such a large number. I wouldn't accurately represent the units on graph paper, if I were you. Just label the sides with the numbers I gave you.
Another prism with a volume of 2400 might be a rectangular prism with a length of 8, a width of 10, and a height of 30.
V = l x w x h
V= 8 x 10 x 30
V = 2400
This would also be a tall rectangle, although it isn't as tall. Keep in mind that l x w x h is only the volume formula for a rectangular prism. I only used rectangular prisms because they would be the easiest for this example. A triangular prism has a different volume formula.
3 = -(-y + 6)
First, simplify brackets. / Your problem should look like: 3 = y - 6
Second, add 6 to both sides. / Your problem should look like: 3 + 6 = y
Third, simplify 3 + 6 to 9. / Your problem should look like: 9 = y
Fourth, switch sides. / Your problem should look like: y = 9
The answer is D) 9.
Answer:
Part 1.
Juice = 8 L.
Lemonade = 32 L.
Part 2.
20 L punch Josie can make.
Part 3.
New ratio juice : lemonade = 2 : 9
Step-by-step explanation:
Part 1.
1+4 = 5 parts altogether, 1 parts for juice and 4 parts for lemonade.
40 : 5 = 8 L is 1 part.
Juice - 1 part - 8 L.
Lemonade - 4 parts - 4*8 = 32 L.
Part 2.
1 parts of juice needs 4 parts of lemonade
4 L of juice needs x L of lemonade
1 : 4 = 4 : x
x = 4*4/1 = 16 L lemonade
4+ 16 = 20 L punch Josie can make
Part 3.
It was 4 L of juice and 16 L of lemonade.
After 2 L lemonade was added, we have 4 L of juice and (16+2) = 18 L of lemonade.
4 L juice : 18 L lemonade = 4/2 L juice : 18/2 L lemonade =
= 2 L juice: 9L lemonade
New ratio juice : lemonade = 2 : 9
Note: 20 weeks = 20/52 or 5/13 of a year.
Let E = effective rate of interest
E = [1 + (r/m)]^m - 1 where r is the nominal (annual ) advertised rate; m is the number of compounding periods/year.
Let r = 0.0275
Let m = 5/13
Plug into formula and do the math.
Answer:
-18-6x=6+18x
-18-6=18x+6x
24x=-24
x=-1
Step-by-step explanation:
