Answer:
9:40 am
Step-by-step explanation:
Let time taken from when Smith left compound to when Garcia overtakes Smith's car be represented by y
After y hours, Smith has covered 48*y=48y miles
Similarly, due to a difference of 20 minutes which is 20/60=1/3 hours, Garcia moves a distance of
60(y-1/3)
Equating both distances to be the same
60y-20=48y
12y=20
y=20/12=5/3 hours
Converted to minutes
5/3*60=100 minutes= 1 hr 40 mins
Therefore, adding 100 minutes to to starting time of Smith
8:00+1:40=9:40 am
The time that Garcia overtakes Smith is 9:40am
Answer:
Hence x = 60 and y = 50
e = 85 degrees
f = 158 degrees
Step-by-step explanation:
1) The sum of the interiror angle of the triangle is equal to the exterior
Given
Interior angles = y and 70
Exterior angle = 120 degrees
According to the law;
y + 70 = 120
y = 120-70
y = 50°
Sum of angle in the triangle is 180
x + y + 70 = 180
x + 50 + 70 = 180
x + 120 = 180
x = 180-120
x = 60
Hence x = 60 and y = 50
2) The sum of angles on a straight line is 180 degrees
40 + 55 + e = 180
95 + e = 180
e = 180 - 95
x = 85 degrees
3) Sum of angle at a point is 360 degrees
Hence 130 + 36.8 + 35.2 + f= 360
130 + 72 + f = 360
202 + f = 360
f = 360 - 202
f = 158 degrees
Answer:
<h2>One solution.</h2>
Step-by-step explanation:
The given question is
<em>Does the following system have One Solution, No Solution, or Infinite Solutions.
</em>
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<em />
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To solve this system, we just need to multiply the first equation by -1, and then sum those equations.


Then, we use this value to find the other one

As you can observe, the system of equations have a unique solution.
Therefore, the answer is one solution.
Interest earned = 194.784
balance = $944.78
Answer:
hello your question lacks the required options but i will provide a general answer to your question
answer : The mean value and the standard deviation would allow us use a Z-score
Step-by-step explanation:
mean value = 231 minutes
standard deviation ( std ) = 40 minutes
sample size = 40
The parameters that would be applicable while use Z-score are : The given mean value and the standard deviation
This is because the value of a z-score gives us an information on how far we are from the mean score i.e. number of standard deviations
+Zscore means that the score is above the average value
-Zscore means that the score is below the average value