<span>2(1+4n)+10(n-7)=2n-n
distribute
2+8n+10n-70=2n-n
combine like terms
18n-68=n
move n to other side
17n=68
divide
n=4</span>
When a negative number is subtracted from another number, the number will be added to the original. This means the equation will become -11 + 11 therefore the answer is 0
The total area of the room is 37.6376 and the no. of cans required to paint the wall is 3 cans.
The measurement of two of the walls is 2.86 metres and 3.16 metre
Area of the two walls = 2(length x breadth)
Area = 2(2.86 x 3.16) = 18.0752 m²
The measurement of the other two walls is 2.86 metres and 3.42 metres
Area of the two walls = 2(length × breadth)
Area = 2(2.86 × 3.42) = 19.5624 m²
Total area = 18.0752 + 19.5624 = 37.6376 m²
If one can of paint can cover 15 m², the no. of cans required to paint the bedroom will be
No. of cans = Total area/Area covered by one can of paint
No. of cans = 37.6376/15 = 2.5091 = 3 cans (approx.)
Answer:
73.90%
Step-by-step explanation:
Let Event D=Defective, D' = Non Defective
Let Event N=New Machine, N' = Old Machine
From the given information:
We are required to calculate the probability that a widget was manufactured by the new machine given that it is non defective.
i.e. 
Using Baye's Law of conditional Probability
Therefore given that a selected widget is non-defective, the probability that it was manufactured by the new machine is 73.9%.
Answer:
C
Step-by-step explanation:
SA=pi*r^2+pi*r*s
SA=3.14*3^2+3.14*3*8
SA=3.14*9+3.14*24
SA=103.62
SA= about 104 inches
Aubrey included the base (you can't put on a hat that has a bottom), the right work should be:
SAhat=pi*r*s
SAhat=3.14*3*8
SAhat=3.14*24
SAhat=75.36
SAhat= about 75
Thus, answer is C
