We have that El Paso is 320 miles from Tucson and 720 miles from San Diego.
You're travelling from Tucson to San Diego.
First we have to find the distance from Tucson to San Diego. We can do this by finding the difference between the distance of Tucson from San Diego and El Paso from San Diego.
That is:
720−320
400 miles
You leave by 6:00 am.
You drive for 75 miles per hour in 4 hours for the first part of the journey.
You then drive for 50 miles per hour for the rest of the journey.
The first step is to find the distance that the rest of the journey took. We can do that by first finding the distance covered in the first part of the journey and subtracting that from the total distance (400 miles).
To find the distance for the first part of the journey, we apply the formula for speed (rate of change of distance with time):
s = d/t
⇒d = s⋅t
where d= distance; t = time
Therefore:
d=75⋅4
d=300 miles
The first part of the journey covered 300 miles. This means that the rest of the journey covered:
400 - 300 = 100 miles
Now, to find the time the rest of the journey took, we have to apply the same formula for speed:
s=d/t
t=d/s
Therefore:
t=100/50
t=2 hrs
To find the total time it took to complete the journey, we have to add the times for the first part and the rest of the journey.
That is:
T=4+2
T=6 hours
Since you left home by 6:00 am, the time you will get to San Diego is 6 hours after that, i.e. 12 noon (Tucson time)
That is the answer.
First, subtract 13.24 from both sides of the equation and add -3.1t on both sides of the equation. This isolates the variable t:
-15.5t + 3.1t = -13.44 + 10.56 - 13.24
Now combine the numbers on both sides of the equation and solve for t:
-12.4t = -16. 12
t = 1.3
Hope this helps!
Answer:
Age= 15
Step-by-step explanation:
Let a be for age at the moment
(a-3)^2 =6(a+9)
a^2-6a+9=6a+54
a^2-12a-45
(a-15)(a+3)
a=15 or a=-3
Age cannot be negative (-)
Therefore
Age =15
Answer:
The ratio of AC/CB=1/3
Step-by-step explanation:
We use the section formula:
We substitute the point A(-1.5,0) and B(4.5,8).
We plug in the points to get:
This is supposed to be equal to: (0,2).
We can equate, corresponding coordinates to find m and n.
This implies that:
Therefore the ratio is m:n=1:3
Answer: If the time is 3 1/2 years (most reasonable assumption)
Her initial deposit was $160
Step-by-step explanation: The basic formula for simple interest is
<em>i = prt i </em>is interest, P is principal (deposit) r is the percentage (converted to a decimal) and t is time, the number of years.
For this question, you have to rearrange the equation to solve for p.
So divide both sides by rt and you have
p = i/rt
Substitute the values given
p = 36.40/(0.065)(3.5)
