Susan drove at an average speed of 30 miles per hour for the first 30 miles of a trip and then at an average speed of 60 miles per hour for the remaining 30 miles of the trip. if she made no stops during the trip, what was susan's average speed, in miles per hour, for the entire trip?
Answers
average speed=(total distance)/(total time)
total time for the first 30 miles was:
time=distance/speed
=30/30
=1 hr
total time for the remaining 30 miles
=30/60
=0.5
hence the average speed will be:
speed=(30+30)/(1+0.5)=60/1.5=40 miles per hour
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Equation: y = 3x
Which representation has the greatest slope?
The equation has the greatest slope.
The table has the greatest slope.
The table and equation have the same slope.
Their slopes cannot be determined.
Answers
Answer:
The table and equation have the same slope
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to
Step 1
Find the slope of the table
we have
Substitute the values
Step 2
Find the slope of the equation
we have
------> the equation represent a linear direct variation
The slope is equal to
therefore
The table and equation have the same slope
Answer:
the table and equation have the same slope
Step-by-step explanation:
took the test and got a 100% :)
Answers
if 0 is a positive integer
sum=0+1+...+59=(0+59)*60/2=59*30=1770
else
sum=1+2+3+...+60=(1+60)*60/2=61*30=1830
end if
Answer D: 1830
In US, 0 is not positive, in Europe yes!!!
correct.
9.3+5 = 32
99.3 + 5 = 302
999. 3+5 = 3002
9999.3+5 = 30002
Make a conjecture by predicting the correct numbers in the line below.
0-3+5 -0
Is the conjecture correct?
O A. Yes
OB. No
Answers
Answer and explanation:
Inductive reasoning is a method of reasoning whereby conclusion of an argument is based on specific observations or evidence that forms the premise of the argument. Inductive reasoning moves from observations to general conclusion unlike deductive reasoning.
B. The conjecture 0-3+5 -0 is incorrect
Given the above sequence of computations, we use inductive reasoning to predict the next computation
The correct next conjecture is
99999.3+5= 300002
The next number in the sequence is predicted to be 300007, and the conjecture is confirmed to be correct.
To predict the next line in the sequence, we can observe that the pattern is adding a sequence of 2s at the end of each number. The first number ends with 32, the second with 302, the third with 3002, and the fourth with 30002. Following this pattern, the next number in the line would be 300002. Calculating the sum, we get 300002 + 5 - 0 = 300007.
Therefore, the conjecture for the correct numbers in the next line is 300007.
By performing the arithmetic, we can confirm that the conjecture is indeed correct, as the sum of 9.3 + 5 - 0 equals 14.3, which matches the predicted number.
Learn more about Inductive reasoning here:
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Answers
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Answers
The solution to the system of equations y = -2x + 4 and y = 1/2x + 4 is the point (0, 4)
Calculating the solution to the system
A system of equations is a set of two or more equations that are to be solved simultaneously.
The solution of a system of equations is a set of values that satisfy all the equations in the system.
Given the equations:
y = -2x + 4
y = 1/2x + 4
The question implies that we solve graphically
So, we create a plot of the equations y = -2x + 4 and y = 1/2x + 4
And we write out the coordinate of the point of intersection between the two equations
From the graph of the system of equations (see attachment), we have the point of intersection to be (0, 4)
This means that the solution to the system of equations is (0, 4)
Find more on equation at:
#SPJ1
Complete question
Solve the system of equations graphed on the coordinate axes below.
y = -2x + 4
y = 1/2x + 4