Y=24x+48
24 per hour (x) plus the 48 she already made would equal a total (y).
More than means to add.
Quotient means to divide.
4 + (12/x)
9514 1404 393
Answer:
(a) 6² +3² +1² +1² = 47
(b) 5² +4² +2² +1² +1² = 47
(c) 3³ +4² +2² = 47
Step-by-step explanation:
It can work reasonably well to start with the largest square less than the target number, repeating that approach for the remaining differences. When more squares than necessary are asked for, then the first square chosen may need to be the square of a number 1 less than the largest possible.
The approach where a cube is required can work the same way.
(a) floor(√47) = 6; floor(√(47 -6^2)) = 3; floor(√(47 -45)) = 1; floor(√(47-46)) = 1
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(b) floor(√47 -1) = 5; floor(√(47-25)) = 4; ...
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(c) floor(∛47) = 3; floor(√(47 -27)) = 4; floor(√(47 -43)) = 2
It's rational because it contains a repeating digit pattern, 743 (first option).
In particular, if
<em>x</em> = -6.743743…,
then
1000<em>x</em> = -6,743.743743… .
Subtracting, we can eliminate the trailing end and solve for <em>x</em> exactly:
1000<em>x</em> - <em>x</em> = -6,743.743743… - (-6.743743…)
999<em>x</em> = -6,737
<em>x</em> = -6,737/999
