5×135? Distributive Property? 135 rounds to 100 and 200 5×1=5 5 and add 00 is 500 5×2=10 10 and add two 00's is 1000 the answer is in between 500 and 1000
Answer:
$2.79 per pound of apple.
Step-by-step explanation:
Answer:
45 minutes
Step-by-step explanation:
At 30 mph for 1/4 hour, Peter has a 7.5 mile head start. After he leaves, Mitchell closes that gap at the rate of 40-30 = 10 miles per hour. It will take him ...
t = d/s
t = (7.5 mi)/(10 mi/h) = 0.75 h
to catch Peter.
Mitchell will catch Peter in 45 minutes.
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<em>Alternate Solution</em>
Another way to look at it is that Mitchell's 10 mph advantage is 1/3 of Peter's speed, so it will take 1/(1/3) = 3 times the period of Peter's head start:
3 × 15 minutes = 45 minutes . . . for Mitchell to catch Peter
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You can write equations involving time and distance and see where the distances traveled become the same. You need to be careful choosing the time reference, since you're concerned with Mitchell's travel time. I personally prefer to work "head start" problems by considering the differences in time and speed, as above. This is where you end up using the equations approach, anyway.
Given:
Consider the given function is:
To find:
The average rate of change of the function over the interval 
.
Solution:
The average rate of change of the function f(x) over the interval [a,b] is:
We have,
At 
,
At 
,
Now, the average rate of change of the function f(x) over the interval is:
Therefore, the average rate of change of the function f(x) over the interval is -3.
Slope = Y2-Y1/X2-X1 = 7-(-3)/3-(-2)= 10/5 = 2
