Answer:
1) 6840
2) 4845
3) 1050
Step-by-step explanation:
1) How many different ways are there to choose a chairman, assistant chairman, and a treasurer department of 20 people?
As it ordered:
<u>C </u> <u> AC </u> <u> TD </u>
20 19 18 = 20.19.18 = 6840
2) How many ways are there to choose a committee of 4 people from this same committee?
Not ordered:
C₂₀,₄ = <u> 20! </u> = <u>20.19.18.17.16!</u> = <u>20.19.18.17</u> = 4845
16! 4! 16! 4.3.2.1 4.3.2.1
3) If the committee is required to be comprised of 2 women and 2 men, and there are 5 women in the department, how many different committees are possible?
5 women and 15 men
committee: 2 w and 2 m
C₁₅,₂*C₅,₂ = 105*10=1050
C₁₅,₂ = <u> 15! </u> = <u>15.14.13!</u> = <u>15.14</u> = 105
13! 2! 13! 2.1 2
C₅,₂ = <u> 5! </u> = <u>5.4.3!</u> = <u>5.4</u> = 10
3! 2! 3! 2.1 2
They must sell, 30 cups of lemonade. How I got my answer.
Since it cost $1.20 to start, and a cup of lemonade cost $0.6 to make and there selling them at $0.10 each. So we know they are making a $0.4 profit off of each cup of lemonade. We now have to multiply 4×30=120.
I hope this helps!
Answer:
Step-by-step explanation:
13x+2y=1
+ 5x-2y=-19
-------------------
18x=18
x=1
5x1-2y=-19
5-2y=-19
-2y=-19-5
-2y=14
-y=7
y=-7
x=1
y=-7
Answer: 15 inches
Step-by-step explanation:
Volume(V) = 40 cubic inches
Height (h) = 8 inches
1.) Volume of cone = (1/3) × base(B) × h
2.) 40 = (1/3) × base × 8
3.) 40 = (8/3) × base
4.) Multiply both sides by the reciprocal (3/8)
(40) × (3/8) = (8/3) × (3/8) × base
120/8 = base
15 = base
Therefore, base area of cone = 15 inches
In converting a decimal to a percent you just need to multiply it by 100.
Solution on the problem above:
3.45 x 100 = 345%
Therefore the answer is letter A.
It will be vice versa in converting percent to decimal. You just need to divide it by 100.
For example, we convert the 345% to decimal:
345%/100 = 3.45