Answer:
1.425
Step-by-step explanation:
b.0.76
0.76÷1000=0.076
l425÷1000=1.425
Answer:
0.33
Step-by-step explanation:
We would like to find the probability that both beads are aqua.
There are 6 aqua beads. Let's calculate the number of ways we can select 2 aqua beads from these 6. We use combinations, which is
, where the n! means n * (n - 1) * (n - 2) * ... * 2 * 1.
The value of the expression is:
![_6C_2=\frac{6!}{(6-2)!*2!}=\frac{720}{24*2} =15](https://tex.z-dn.net/?f=_6C_2%3D%5Cfrac%7B6%21%7D%7B%286-2%29%21%2A2%21%7D%3D%5Cfrac%7B720%7D%7B24%2A2%7D%20%3D15)
So there are 15 ways to choose 2 aqua beads.
Now let's calculate the number of ways we can select any 2 beads. There are 6 + 4 = 10 beads in total, so we do the same thing as before using combinations:
![_{10}C_2=\frac{10!}{(10-2)!*2!} =\frac{3628800}{40320*2} =45](https://tex.z-dn.net/?f=_%7B10%7DC_2%3D%5Cfrac%7B10%21%7D%7B%2810-2%29%21%2A2%21%7D%20%3D%5Cfrac%7B3628800%7D%7B40320%2A2%7D%20%3D45)
Our fraction is thus:
15 / 45 = 1/3 ≈ 0.33
The answer is thus 0.33.
<em>~ an aesthetics lover</em>
Expanding brackets is just your book's way of saying to use the distributive property and then simplify to solve each equation.
I'll show the work for a and b and then the answers for the rest.
a.
4(g + 5) - 4g
Multiply each part inside the parentheses by 4
4g + 4(5) - 4g
4g + 20 - 4g
Now combine like terms to simplify the equation. In this case, the 4g and - 4g cancel each other out.
4g - 4g + 20
0 + 20
20
20 is your answer.
b.
6(p + 4) + 2(p - 12)
Multiply each part of the first set of parentheses by 6 and the second set by 2
6p + 6(4) + 2p + 2(- 12)
6p + 24 + 2p - 24
Combine like terms
6p + 2p + 24 - 24
8p + 0
8p
8p is your answer
c. 6z
d. 3a + 8
e. 8a + 16 which simplifies 8(a + 2)
f. 32w + 16 which simplifies 16(2w + 1)
Answer: speed v= s/t = (460 / 5,75 )km/h
Step-by-step explanation: s= 460 km, t= 5h 45 min = 5,75 h
Answer:
there would be 40 slices of pizza
Step-by-step explanation:
If 5 pizzas each have 8 slices you multiply 5 X 8 which equals 40 slices