Answer:
1. There is a <u><em>1/5</em></u> chance you will get a blue one from both bags.
2. There is a <u><em>3/32</em></u> chance you will get a 1 and then a 2.
3. There is a <u><em>5/12</em></u> chance of rolling a factor of 12 and then an odd number.
Step-by-step explanation:
<u><em>Question 1</em></u>
Add all the marbles together.
3 + 2 = 5
4 + 2 = 6
Make a fraction.
blue/all
Use it on the numbers.
3/5
2/6
Multiply them together.
6/30
Simplify.
1/5
There is a <u><em>1/5</em></u> chance you will get a blue one from both bags.
<u><em>Question 2</em></u>
Add all the numbers together.
There are 8.
Make the two crucial fractions.
ones/all
twos/all
Use them.
3/8
2/8
Multiply them together.
6/64
Simplify.
3/32
There is a <u><em>3/32</em></u> chance you will get a 1 and then a 2.
<u><em>Question 3</em></u>
Find the factors of 12.
1, 2, 3, 4, 6
Make a fraction.
factors/all
Use the fraction.
5/6
Find the odd numbers.
1, 3, 5
Make a fraction.
odd/all
Use the fraction.
3/6
Multiply them together.
15/36
Simplify.
5/12
There is a <u><em>5/12</em></u> chance of rolling a factor of 12 and then an odd number.
Answer:
27m^6n^12
Step-by-step explanation:
(3)^3 = 27
m^2^3 = m^6
n^4^3 = n^12
Answer: 1962.4 cubic mm
Step-by-step explanation:
The volume of the larger cone is 
The volume of the smaller cone is 
.
So, the volume is 
Answer:
70 apples
Step-by-step explanation:
We can use a ratio to solve
7 apples x apples
-------------- = -------------
50 name 500 names
Using cross products
7 * 500 = 50x
Divide by 50
7 * 500/50 = 50x/50
70 =x
<span>So, the volume of a container can also be thought of as the amount of liquid that the container is capable of holding. It follows that 450=(length)(width)(height). The constraints of the problem say that the length of the box must be twice as large as the width, so it follows that j(height)=(2w)(w)(height)-450. This then implies that j(height)=(2w^2)(height)-450. In simpler terms, the height is defined as 450/(2w^2), or j(w)=450/(2w^2).</span>
