Answer:
6,226 tiles of 9 in are needed to cover an area of 400 square feet
Step-by-step explanation:
Let
A -----> an area in square feet
t(A) ---> the total number of 9 in. tiles needed
we have
For A=400 ft^2
substitute in the equation and solve for t
That means -----> 6,226 tiles of 9 in are needed to cover an area of 400 square feet
Given parameters;
Let us solve this problem step by step;
Let us represent Simon's money by S
Kande's money by K
- Simon has more money than Kande
S > K
- if Simon gave Kande K20, they would have the same amount;
if Simon gives $20, his money will be S - 20 lesser;
When Kande receives $20, his money will increase to K + 20
S - 20 = K + 20 ------ (i)
- While if Kande gave Simon $22, Simon would then have twice as much as Kande;
if Kande gave Simon $22, his money will be K - 22
Simon's money, S + 22;
S + 22 = 2(K - 22) ------ (ii)
Now we have set up two equations, let us solve;
S - 20 = K + 20 ---- i
S + 22 = 2(K - 22) ; S + 22 = 2K - 44 ---- ii
So, S - 20 = K + 20
S + 22 = 2K - 44
subtract both equations;
-20 - 22 = (k -2k) + 64
-42 = -k + 64
k = 106
Using equation i, let us find S;
S - 20 = K + 20
S - 20 = 106 + 20
S = 106 + 20 + 20 = 146
Therefore, Kande has $106 and Simon has $146
Answer: 0.3741
Step-by-step explanation:
Poison probability ;
P(x) = [U(^x) e(^-U)] ÷ x!
Where U = mean
Note: e = exponential symbol
Number of checks that year = 171
Number of days in a year = 365
U = 171/365 = 0.468
Average checks per day = 0.4685
Probability that at least one check was written per day is can be calculated by;
P(not 0) = 1 - P(0)
Therefore,
P(x) = [U(^x) e(^-U)] ÷ x!
P(0) = [ 0.4685^0 * e^-0.4685] ÷ 0!
P(0) = [ 1 * 0.6259] ÷ 1
P(0) = 0.6259
Therefore,
P(not 0) = 1 - 0.6259 = 0.3741
First you cross multiply.
2*(b-4)=6b
Then distribute the 2.
2b-8=6b
Minus 2b from each side.
-8=4b
Divide each side by 4.
-2=b
So -2 is your answer.
