Remove parentheses and combine like terms...
then subtract constants from both sides
isolate variables and constants
use the division property and solve for x
Answer:
1. is the last one.
2. is the 3rd one.
3. is the first one.
4. is the 2nd one.
Step-by-step explanation:
What you do is you have to get the letter by itself and it all depends on the less than or greater than signs.
For #1. -m+8>6. What you do is you minus 8 from both sides to get -m>-2. You still have a -m so you need to divide both sides by a -1. (<em><u>one thing to remember is when you divide by a negative you have to switch the sign.</u></em>) So your answer will be m<2. That will make the last graph the answer.
For #2. -2p< or equal to -10. What you do is divide by -2. and you need to remember to switch the sign. So your answer is p> or equal to 5.
You will do the same for the other two equations but your answers are.
#1. is the last one graph.
#2. is the 3rd one graph.
#3. is the first one graph.
#4. is the 2nd one graph.
Answer:
1) 9:14
2)4:1
Step-by-step explanation:
You have to have all of the teachers compared to all of the adults (teachers included)
You have to simplify 12:3 and you get 4:1.
<h3>
Answer: 120 different ways</h3>
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Explanation:
There are...
- 6 ways to select the first place winner
- 5 ways to pick the second place winner
- 4 ways to pick the third place winner
We start with 6, and count down by 1 each time we fill up a slot. We stop once the third slot is filled or accounted for. The countdown is to ensure that we don't pick the same person twice. From here, multiply those values: 6*5*4 = 30*4 = 120
Interestingly, this is equal to 5! = 5*4*3*2*1 = 120 because the 3*2 becomes 6 and that *1 at the end doesn't affect things. Though usually results of permutation problems don't always end up like this. The order matters because a result like ABC is different from BAC, where A,B,C,D,E,F are the six school organizations.
As a slightly longer way to do the problem, you can use the nPr formula which is 
where n = 6 and r = 3 in this case. The exclamation marks indicate factorial. If you go this route, you should find that one of the steps will involve 6*5*4.
Answer:
1134.1 [cm²]
Step-by-step explanation:
A=πr2
Circle area = π * r² = π * 361 [cm²] ≈ 1134.1 [cm²]
π ≈ 3.14159265 ≈ 3.14
d = r * 2 = 19 [cm] * 2 = 38 [cm]
