Answer:
The ones that can be used are (B and A)
The ones that cannot be used are (C and D)
Step-by-step explanation:
Because the panthers got 6 less and the tigers got 22…
b+6 would make 22 (panthers plus 6 makes tigers)
22-b would also be 6 because 6+b makes 22, so subtracting b from 22 makes 6
Answer:
Option A: 2338.3 cm² is the correct answer.
Step-by-step explanation:
Given that:
The given figure is a regular hexagon.
Length of side = 30 cm
Area of a hexagon is given by;
Area = 
Putting a=30 in the formula
Area = 
Area = 
Area = 
Area = 2338.26 cm²
Rounding off to one decimal place,
Area = 2338.3 cm²
Hence,
Option A: 2338.3 cm² is the correct answer.
Answer:
X =30/7
Step-by-step explanation:
The first way would be something like:
-7x + 10 = -20. The first thing we would do is to subtract 10 from both sides.
Therefore,
-7x+10-10=-20-10
Simplified, we get
-7x=-30
Remove the negative symbols
7x =30
x=30/7
Second example:
10=7x - 20
Add 20 to both sides.
10+20=7x-20+20
Simplified,
30=7x
x = 30/7
Answer:
0.29
Step-by-step explanation:
We are given that there are 4 couples i.e. 8 people
They decide to play as teams of two and to select the teams randomly
Now we are asked How likely is it that every person will be teamed with someone other than the person he or she came to the party with
For people 1 , there are 6 options for pairing Since he or she cannot pair with his /her own partner
So, Choices For people 1 will be 6 person
So, Probability that person 1 will be teamed with someone other than the person he or she came to the party with = 
So, Probability that every person (=8 person) will be teamed with someone other than the person he or she came to the party with =
Hence Probability that every person will be teamed with someone other than the person he or she came to the party with is 0.29
Since this is multiple choice ...
• check if B is correct:
x = 0, y = 4, z = 1 ⇒ 3x - y + 4z = -4 + 4 = 0 ≠ -10
(it's not)
• check if C is correct:
x = -2, y = 4, z = 0
⇒ 3x - y + 4z = -6 - 4 + 0 = -10
⇒ 3x - y + 4z = 2 + 4 + 0 = 6
⇒ 3x - y + 4z = -4 - 4 + 0 = -8
While this solution does satisfy the system, it can still have infinitely many other solutions that would work.
• check if D is correct:
Eliminate one of the variables from each equation. For instance,
(3x - y + 4z) + (-x + y + 2z) = -10 + 6
2x + 6z = -4
x + 3z = -2
and
(2x - y + z) + (-x + y + 2z) = -8 + 6
x + 3z = -2
but now it's impossible to eliminate one of the variables.
Therefore there are infinitely many solutions to the system [D].