A woman is walking at the rate of 90 yards per minute. How fast is she going in feet per second?
1 answer:
Answer:
She is going at the rate of 4.5 feet per second.
Step-by-step explanation:
Given:
The rate of walking is 90 yards per minute.
Now, to find the rate in feet per second.
1 yard = 3 foot.
1 minute = 60 seconds.
So, first we find the rate of walking per second in yard =
Therefore by dividing we get =
Now, we find the rate of walking per second in feet =
So, by multiplying we get =
Therefore, she is going at the rate of 4.5 feet per second.
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The equasion has only one solution.
Answer:
The equation of the line with slope 6 and containing the point (0, 4) will be:
The graph of the line y = 6x+4 is attached below.
Step-by-step explanation:
The slope-intercept form of the line equation
where
- m is the slope
- b is the y-intercept
Given
- The slope m = 6
- The point (0, 4)
The y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
The point (0, 4) indicates that:
at x = 0, y = 4
Thus, the y-intercept b = 4
now substituting b = 4 and m = 6 in the slope-intercept form of the line equation
Thus, the equation of the line with slope 6 and containing the point (0, 4) will be:
The graph of the line y = 6x+4 is attached below.
Answer:
answer a
Step-by-step explanation:
<
- Let's isolate
on one side of the equation. Ignore the inequality for now. We'll deal with that later.
- Now, I'm going to bring back the inequality or < symbol. I only removed it when simplifying and isolating
<
- On a number line, this would include every number <em>less than </em>
, due to the < (less than) symbol. This disqualifies answers b and d because they are showing every number <em>greater than </em>
- If a line has point at its beginning,