Answer:
13.3 seconds
Step-by-step explanation:
A team of 4 people participates in a 400 -yard relay. And each team member runs the same distance and completed the race in a total of 53.2 seconds.
If we consider that each team member takes equal time for covering his part, then the average running time for each person is 
= 13.3 seconds. ( Answer )
Answer:
The probability that a point randomly chose in the rectangle is in the triangle is 
, so the answer would be A
Step-by-step explanation:
To find the probability of a random point being in the triangle, we must find the area of the triangle and the area of the rectangle.
The area of the rectangle can be found by multiplying the width by the height, so the equation would be
The area of the the triangle can be found by the formula 
This means that the equation would look like
Now that we have both the area of the triangle and the rectangle, we can create a ration of the area of the triangle to that of the rectangle. It would look like this
This would simplify to
T=number of hours she tutors.
r=number of hours she works a receptionist.
Tori is only able to work up to 20 hours per week.
t+r≤20
She tutors for $30 per hour and works as a receptionist for $10 per hour. She must earn at least $200 per week.
30t+10r≥200
Answer: t+r less than or equal to 20; 30t+10r greater than or queal to 200.
t+r≤20
30t+10r≥200
Answer:
Step-by-step explanation:
The inequality includes -53.
The interval notation is 
Answer:
The speed of the current is 3 miles per hour
Step-by-step explanation:
The equations for rate (r), distance (d), and time (t) are ⇒ d = rt, r = d/t, = t = d/r
Let x = speed in still water
Let c = speed of the current
The main difference with these problems is rate needs to be expressed using two variables because moving upstream the current is against you and downstream it moves with you.
Distance Rate Time
Upstream x − c
Downstream x + c
The distance column with the numbers from the problem and the value for speed in still water for x.
Distance Rate Time
Upstream 4 5 − c
Downstream 16 5 + c
The column for time using the other two columns knowing that rate, distance ⇒ time = Distance Rate Time
Upstream 4 5 − c
5 − c
4
Downstream 16 5 + c
5 + c
16
“It takes as long …” from the problem means that the two times are equal to each other. So, the equation can be written as:
4/5− c = 16/5 + c ⇒ Solve by cross-multiplying ⇒ 5(4 + c) = 16 5( − c) ⇒ c = 3
