Answer:
- the largest number that cannot be made is 23
- see below for an explanation
Step-by-step explanation:
<em>Why numbers greater than 23 can be made</em>
From any number that Larry can make that includes an appropriate number of stamps, Larry can ...
- add 1 by adding 1×9 and taking away 2×4
- add 2 by adding 2×9 and taking away 4×4
- add 3 by adding 3×9 and taking away 6×4
- add 4 by adding 1×4
- add 5 by adding 4 and 1 (add 9, take away 4)
- add 6 by adding 4 and 2 (add 2×9, take away 3×4)
- add 7 by adding 4 and 3 (add 3×9, take away 5×4)
- add 8 by adding 2×4
- add 9 by adding 1×9
Clearly, for Larry to be able to continue adding any number, he must start with a number that contains at least 6×4 cents = 24 cents.
Larry can make 24 cents from 6 4-cent stamps. Using the above table, he can add any amount to that.
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<em>Why 23 cannot be made</em>
For 23 cents, the number of stamps must include 0, 1, or 2 9-cent stamps, so there are 3 cases to try for making 23:
- 23 cannot be made from 0 9-cent stamps because 23 is not divisible by 4
- 23 cannot be made using 1 9-cent stamp, because 14 is not divisible by 4
- 23 cannot be made using 2 9-cent stamps, because 5 is not divisible by 4.
Therefore, 23 cannot be made.
Answer:
The answer is
<h2>10 units</h2>
Step-by-step explanation:
The distance between two points can be found by using the formula
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-2,1) and (-8,9)
The distance between them is
We have the final answer as
<h3>10 units</h3>
Hope this helps you
Answer:
-1
Step-by-step explanation:
Answer C : 3x^2+7xy-2y^2
equivalent to the following expression
Combine like terms
2x^2 + x^2 is 3x^2
4xy+3xy is 7xy
-y^2-y^2 is -2y^2
So expression becomes
Answer C is correct
