A cruise left port A and traveled towards port B 225 km away. After 1.5 hours of travel, the cruise was stopped for a half an ho
ur and then it had to increase its speed by 10 km/hour in order to reach port B on time. Find the original speed of the cruise.
1 answer:
Answer:
50
Step-by-step explanation:
v = the original speed of the cruise
d = 225 km the distance passed
t = d/v = 225/v the total time of the travel
v*1.5 + (v + 10)(d/v - 1.5 - 0.5) = d (using the formula distance = speed*time)
1.5v + (v + 10)(225/v - 2) = 225
Look at the images to see the solved equation
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Answer:
Step-by-step explanation:
To find the inverse of a function, simply switch the 'x' and 'y' variables. Substitute in 'y' in the place of f(x) for this purpose:
y = 2x - 10
Switch positions:
x = 2y - 10
Add '10' to both sides to begin simplifying:
x + 10 = 2y
Divide both sides by 2:
This can be rewritten as:
Therefore, the inverse of the function is:
In order to determine the area of the lot of land in squared yards, proceed as follow:
Convert the dimensions of the rectangle to yards, by using the given conversion factor:
Next, consider that the area of the lot is the area of a rectangle. Replace the previous values of the length and the width of the rectangle:
Hence, the area of the lot of land is 656.25 sq yd