It depends on what the question is asking for... If the problem looks like this: (-16m)^2 would equal 256*m^2. Since they want the numerical coefficient, the answer would be 256.
To the second power means that you're multiplying each number/variable within the parenthesis two times. In essence, we have (-16m)^2 = (-16*-16*m*m). -16*-16=256 and m*m=m^2. We get 256*m^2. Good luck!
15
100%=20 questions
25%=X questions
X=25%×20=500
X=500/100
X=5
not B=20-5
not B=15 questions
Answer:
3/7
Step-by-step explanation:
1,2,3,4,5,6,7
The word problem is asking the <u>PROBABILITY</u> OF NOT SELECTING A PRIME NUMBER.
PROBABILITY: THE LIKELIHOOD OF AN EVENT.
There are 7 numbers in this data set. Of the seven numbers, four are prime numbers, three of them are not.
Therefore, the probability of not selecting a prime number is 3 in 7, or 3 out of 7 (3/7).
Step 2 was his error.
The following problem is solved by Alan:
In solving for x, you have to cross multiply between the numbers.
In that case, step 2 would look like this:
(25)(x) = (8)(200)
NOT THIS:
(8)(x) = (25)(200)
Now continue all the way.
25x = 1600
x = 1600 ÷ 25
x = 64
- Make an equation representing the number of vehicles needed.
We have six drivers so
x + y ≤ 6
That's not really an equation; it's an inequality. We want to use all our drivers so we can use the small vans, so
x + y = 6
- Make an equation representing the total number of seats in vehicles for the orchestra members.
s = 25x + 12y
That's how many seats total; it has to be at least 111 so again an inequality,
25x + 12y ≥ 111
We solve it like a system of equations.
x + y = 6
y = 6 - x
111 = 25x + 12y = 25x + 12(6-x)
111 = 25x + 72 - 12x
111 - 72 = 13 x
39 = 13 x
x = 3
Look at that, it worked out exactly. It didn't have to.
y = 6 - x = 3
Answer: 3 buses, 3 vans
