Please helpp middle school mathsuppose 4<a<7. find all the possible values of 15-2a
1 answer:
9514 1404 393
Answer:
1 < 15 -2a < 7
Step-by-step explanation:
There are a couple of ways you can do this.
1) Put the minimum and maximum values of a into the expression to see what its corresponding values are:
15-2a for a=4:
15-2(4) = 7
15-2a for a=7:
15-2(7) = 1
Then ...
1 < 15-2a < 7
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2) Solve for a in terms of the value of 15-2a, then impose the limits on a.
x = 15 -2a
2a = 15 -x
a = (15 -x)/2
Now, impose the given limits:
4 < (15 -x)/2 < 7
8 < 15 -x < 14 . . . multiply by 2
-7 < -x < -1 . . . . . . subtract 15
7 > x > 1 . . . . . . . . multiply by -1
1 < 15-2a < 7 . . . . . use x=15-2a
_____
The vertical extent of the attached graph is the range of possible values of 15-2a. It goes from 1 to 7.
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Answer:
The distance bicycle tire travels is <u>1946.8 cm</u>.
Step-by-step explanation:
Given:
Diameter of bicycle tire = 62 cm.
The bicycle tire travels in 10 revolutions.
Now, to find the distance the bicycle tire travels in 10 revolutions.
Diameter = 62 cm.
Radius (r) =
So, we get the circumference first by putting formula:
Thus, we get the <u><em>circumference of tire 194.68 cm.</em></u>
<u><em>Number of revolutions the tire travels = 10.</em></u>
Now, to get the distance the bicycle tire travels we multiply circumference of tire by number of revolutions the tire travels:
Therefore, the distance bicycle tire travels is 1946.8 cm.