Answer:
The easiest way I can think of to show someone who is not very mathematically inclined that the calculation is wrong (other than using a scientific calculator) is this:
Explain that one half contains four eighths - you can visualize this very simply with a pie chart.
Then tell Anna that mathematically speaking this translates to the equation:
1/2 = 4 * 1/8
Now, if ONE half is equal to four times ONE eighths, then SEVEN halves is equal to four times SEVEN eighths - basically, you just multiply both sides by 7:
7/2 = 4 * 7/8
Now, compare this to the equation proposed by Anna:
7/2 = 1½ * 7/8
I guess, at this point it will be easy to convince Anna that 1½ is not 4, and therefore her equation is faulty.
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Alternatively, if she's sound with fractions you could also tell her that to get from 7/8 to 7/2 you will need a factor which only affects the denominator as the numerator stay the same. The factor that turns 8 into 2 is 1/4 but since this takes place in the denominator we need the reciprocal to turn 1/8 into 1/2 - and the reciprocal of 1/4 is of course 4. At which point we've arrived at the same place of argumentation as before (which is that 4 ≠ 1½).
Step-by-step explanation:
hope this helps :)
4x+7=x+10
3x+7=10
3x=3
x=1
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Answer:
I think you meant to put an attachment but I don't see one
Step-by-step explanation:
Opposite sides of a parallelogram are equal therefor we can write:-
3r + 8 = 2r + 12
3r - 2r = 12 - 8
r = 4
so the lengths of the sides are each 20 ft
and the 2 shorter sides are of length 4(4) - 2 = 14 ft
so perimeter = 2*20 + 2*14 = 68 feet <---- answer