Answer:
c = 19
Step-by-step explanation:
a*b*c=1197
Let a =21 and b= 3
21*3*c = 1197
63c = 1197
Divide each side by 63
63c/63 = 1197/63
c =19
Answer:
3c - 12
Step-by-step explanation:
3(c-4), you have to distribute the number that is outside.
3*C - 3*4 = 3c - 12
<span>
the speed of the car decreases from 4 mi/h to 2 mi/h in the first 3 second increases to 5 mi/h in the next 5 5 seconds,and then remains 5 mi/h for the last 10 seconds</span>
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.
The absolute value is the distance as to how far away the number is from 0. Ex: the absolute value of -7 is 7. Absolute value of 7 is 7.
