Answer:
Step-by-step explanation:
Answer:
For t=3 sec the velocity change from positive to negative
Step-by-step explanation:
we have
This is the equation of a vertical parabola open downward (the leading coefficient is negative)
where
s(t) is the distance in feet
t is the time in seconds
We know that
To find out when the velocity change from positive to negative, we need to determine the turning point of the quadratic equation
The turning point of the quadratic equation is the vertex
so
Convert the quadratic equation into vertex form
Factor -16
Complete the square
Rewrite as perfect squares
The vertex is the point (3,244)
therefore
For t=3 sec the velocity change from positive to negative
Let m = the amount books Rachel sold on Monday.
then t = the amount books Rachel sold on Tuesday.<span>
then w = </span><span>the amount books Rachel sold on Wednesday.
On Tuesday she sold twice as she did on Monday.
t = m * 2
On Wednesday she sold 6 fewer books than she did on Tuesday
w = t - 6
Now for the fun.
t = m * 2
w = t - 6
Substitute t for real value
w = m * 2 - 6
Now solve for m.
w - 6 = m * 2 <-- Transpose the 6
(w-6)/2 = m <-- Transpose the 2.
m = (w-2)/2 < The Law of Reflexive Property of Equality</span>
Answer:
1.953125 or 2, not sure if you need to round.
Answer
925 students brought their lunch.
Explanation
First let's rewrite the equation.
You know that "of" means multiply and "is" means equal.
Okay, so let's break it down.
The question says, "At your school, 74% of students brought their lunch at the cafeteria. There are 1250 students in the school."
This means that 74% of 1250 students brought their lunch at the cafeteria.
You are trying to find how many students brought their lunch. This will be x.
So the equation would be this.
74% × 1250 = x
74% is 0.74.
0.74 × 1250 = x
0.74 × 1250 = 925
So 925 students brought their lunch.