Answer:
The equation would be .
Allen will Run for 2 hours.
Step-by-step explanation:
Given:
Total Distance traveled = 30 miles
Average rate of walking = 3 mi/hr
Average rate of running = 9 mi/hr
Time for walking = 4 hours
W need to find the time for running.
Solution:
Let Number of hrs required for running be 'x'.
Total Distance traveled is equal Distance Traveled in walking plus Distance traveled in Running
But Distance is equal Rate multiplied by Time.
Framing in equation form we get;
Hence Total Distance Traveled = Rate of walking × Hours of walking + Rate of Running × Hours of running.
Substituting the values we get;
Hence The equation would be
Solving above equation we get;
Hence Allen will Run for 2 hours.
Answer:
Step-by-step explanation:
we know that
The area of the bedspread that is red is equal to the area of rectangle minus the area of the circle
step 1
Find the area of rectangle
The area is equal to
step 2
Find the area of the circle
we have
----> the radius is half the diameter
assume
substitute
step 3
Find the area of the bedspread that is red
Find the difference of the areas
Answer:
1) False
2) True
3) True
4) False
Step-by-step explanation:
For the first statement, we can look at a graph with the line of y = 3.69x plotted. If we check the points (7.38, 2) and (11.07,3), they do not intersect with the line. So, the first statement is false.
For the second statement, we can check the equation for the line to find the slope. The equation, y = 3.69x, is in slope-intercept form, or . In this form,
is the slope of the line.
is the y-intercept. In this line, there is no y-intercept specified, so we can take this to mean the y-intercept is 0. The slope, we can see, is 3.69. The slope, multiplied by x, shows us any point of the line. The second statement, then, is true.
The next statement can be verified by finding just how much 16 gallons will cost. Like we've seen before, the slope can be multiplied by x, the number of gallons, to see where that point will be plotted. So, we can multiply the slope by 16.
3.69 · 16 = 59.04
The (x) value, we already know, is 16. The (y) value, we've found, is 59.04. So 16 gallons will be plotted at (16, 59.04). The third statement is true.
The last statement says that if the price increases by $0.05, the slope will be 3.64. We can tell this is false by adding 0.05 to the original slope, 3.69.
3.69 + 0.05 = 3.74
3.74 ≠ 3.64, so the last statement is false.
I hope this was helpful to you ^^
Good luck