If the weight of the bottom box is b then the weight of a stack of four boxes is b + b/2 + b/4 + b/8
= 8b/8 + 4b/8 + 2b/8 + 1b/8
= 15/8 b
A stack must weigh less than 100 pounds
15/8 b < 100
b < 100 x 8/15 = 53 1/3 pounds
If boxes have a minimum weight of 1 pound then
for stacks that contain 4 boxes the range of b is [8, 53 1/3)
and if stacks contain 1 to 4 boxes the range of b is [1, 53 1/3)
If the only restriction is a maximum of 100 then the range of b is [0, 53 1/3)
Amy's average speed during her whole journey from London to Newcastle (300 miles) was 51.422 miles per hour.
<h3>How to calculate the average speed?</h3>
This is calculated by taking the total distance and dividing it into the total time.
<h3>What was Amy's average speed?</h3>
First part of ther journey: 165 miles at 60mph, which is equal to 2.75 hours
- Time: distance/speed
- Time: 165 miles/ 60 mph= 2.75 hours
Second part of her journey: 135 miles in 3.083 hours (3 hours and 5 minutes)
- Total distance: 300 miles
- Total time: 2.75 hours + 3.084 = 5.834
Average speed: 300 miles / 5.834 = 51.422 miles per hour
Learn more about average speed in: brainly.com/question/12322912
Answer:
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The ideal mechanical advantage of a slope is given by the ratio between the output load, which is simply the weight of the object (), and the input force applied to move the object along the slope:
The energy conservation law states that the potential energy of the object when it reaches the final height h is equal to the work done to move the object along the distance of the slope , i.e.
From this we find
Therefore, we can substitute this into the formula of the ideal mechanical advantage and calculate its value:
Please said thanks
Answer:
44
Step-by-step explanation: