4 5/2 is 6 1/2 in simplest form!
Answer:
95
Step-by-step explanation:
Let x represent the ones digit. The tens digit will be higher, because reversing the digits results in a lower number. Its value is (14 -x). The given relation is ...
(10(14-x) +x) -(10x +(14 -x)) = 36 . . . . reversing the digits gives 36 less
140 -9x -9x -14 = 36 . . . . eliminate parentheses
90 = 18x . . . . . . . . add 18x-36
5 = x . . . . . . ones digit
14-5 = 9 . . . tens digit
The original number is 95.
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<em>Check</em>
95 -59 = 36
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<em>Additional comment</em>
The difference in value when the digits of a 2-digit number are reversed is always 9 times the difference in the digits. This means the difference in the digits is 36/9 = 4. Since the sum of digits is 14, the two digits are (14+4)/2 = 9 and (14-4)/2 = 5. 95 is the number of interest.
The solutions to a "sum and difference" problem are half the sum and half the difference of the given sum and difference. That is how we know the larger digit is (1/2)(14 + 4), for example.
We worked this "the hard way" using the above equation. It can actually be worked in your head if you're familiar with these generic solutions.
(Le français n'est pas ma langue maternelle, alors je m'excuse d'avance si quelque chose n'est pas clair!)
Il me semble que le triangle MNP devrait ressembler à celui que j’ai attaché.
Les triangles MNP et MQR sont similaires, les côtés correspondants sont donc proportionnels:
Answer:
58.9 miles per hour
Step-by-step explanation:
Step 1: Convert 95 Kilometers per hour to miles per hour
1 Kilometer = 0.62 miles
95 Km x 
cancel Km
95 Km x = 
x 
= 
or 58.9 miles
Change it into speed
58.9 miles per hour (59 miles per hour (Round off))
(Note: I don't know if I should round off because the instructions aren't that clear. This solution might or might not have been thought to you by your lecturer.)
Answer:
m=6
Step-by-step explanation:
For this figure to be a parallelogram, the sides must be the same length
4m+2 = 3m+8
Subtract 3m from each side
4m+2-3m = 3m+8-3m
m+2 =8
Subtract 2 from each side
m+2-2 =8-2
m=6
