Step-by-step explanation:
Distance = Speed * Time
If Maria drove to a business appointment at 30 mph, then
d = 30t where d is her distance and t is the time
If her average speed on the return trip in the afternoon was 20 mph and the return trip took 1/2 hr longer, then;
her speed s = 20mph
her time t1 = 1/2 + t
distance d = 20(1/2+t)
Since the distance both going and returnin are the same then:
30t = 20(1/2 + t)
3/2 t = 1/2 + t
3/2 t - t = 1/2
1/2 t = 1/2
t = 1 hr
Substitute t = 1hr into the first equation to get the distance
d = 30t
d = 30(1)
d = 30miles
Hence she travelled 30 miles to the appointment
<h3>Given</h3>
DP = 3x+2
DE = 10x-12
P is the midpoint of DE
<h3>Find</h3>
DP
<h3>Solution</h3>
If P is the midpoint, then PE = DP. The parts of a line segment add up to give the length of the entire line segment:
... DP + PE = DE
... DP + DP = DE . . . . . . use DP = PE
... 2(DP) = DE . . . . . . . . simplify
... 2(3x + 2) = 10x - 12 . . substitute the given in formation
... 16 = 4x . . . . . . . . . . . . add -6x +12
... 4 = x . . . . . . . . . . . . . . divide by the coefficient of x
The length of DP is 3×4 +2 = 14
<u>Check</u>
The length of DE is 10×4 - 12 = 28, which is 2 times the length of DP
A I’m pretty sure is correct answer
Answer:
7x < 60
Step-by-step explanation:
Answer:
Step-by-step explanation:
Data provided in the question:
Initial volume of water = 15 liters
Concentration of salt = 4 liters per minute
x be the amount of salt, in grams, in the fish tank after t minutes have elapsed
The unknown concentration of incoming brine c.
Now,
Salt concentration per minute = 
For x amount of salt = 
Therefore,
