If a car is traveling at 120 km/s within 120 min, what is its distance? (Remember: 60 seconds = 1 min. 120 km = 120,000 m) *
1 answer:
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Answer:
(i) 30
(ii) 8
Step-by-step explanation:
Start by drawing 3 rings for the Venn diagram. Each ring represents either Audi, BMW, or Citroën.
Next, add the information provided in the problem statement. We know that 20 choose BMW only. Another 20 choose Citroën only.
We know the number who choose all 3 is the same as the number that choose BMW and Citroën, but not Audi. We'll call this number x.
Similarly, we know that the number who choose all 3 is half of those choose Audi and BMW, but not Citroën. So we'll say that number is 2x.
We know the total number of Audi votes is 48, the total number of BMW votes is 36, and the total number of Citroën votes is 34.
Finally, we know the total number of voters is 100, including those who voted for no favorites (we'll call that number n).
We know that BMW got 36 votes, so:
20 + x + x + 2x = 36
20 + 4x = 36
4x = 16
x = 4
We know that Citroën got 34 votes, so:
20 + x + x + z = 34
20 + 4 + 4 + z = 34
28 + z = 34
z = 6
We know that Audi got 48 votes:
y + 2x + x + z = 48
y + 2(4) + 4 + 6 = 48
y + 18 = 48
y = 30
Finally, we know that the total number of voters is 100.
20 + 20 + x + x + 2x + y + z + n = 100
20 + 20 + 4 + 4 + 2(4) + 30 + 6 + n = 100
92 + n = 100
n = 8
Answer:
An equation of the line that passes through the point(2,−5) and is parallel to the line 6x+y=6 is:
Step-by-step explanation:
The slope-intercept form of the line equation
where m is the slope and b is the y-intercept
Given the equation
Writing in the slope-intercept form of the line equation
comparing with the slope-intercept form of the line equation
y = mx+b
Thus, the slope of line = m = -6
We know that the parallel lines have the same slopes.
Thus, the slope of the parallel line is also -6.
As the line passes through the point (2,−5).
Thus, using the point-slope form of the line equation
where m is the slope and (x₁, x₂) is the point
substituting the values m = -6 and the point (2,−5)
subtract 5 from both sides
Therefore, an equation of the line that passes through the point(2,−5) and is parallel to the line 6x+y=6 is: