Answer:
x axis: -1, 0, -3
Step-by-step explanation:
No, the geometric sequence is when the number is multiplied by a value that increases.
Answer:
13 or 13.125 you have to look at your notes to see which it is. Personally I would take 13. Try that first.
Step-by-step explanation:
Be careful how you interpret this question. It reads like this.
3:8 :: x:35
In other words, the 8 and 35 females goes together.
Set this up as a proportion
3/8 = x / 35 Cross multiply
3*35 = 8x Combine the left
105 = 8x Switch
8x = 105 Divide by 8
x = 105 / 8 get the answer
x = 13.125 You cannot have 1/8 of a person. So what are you going to do?
You have to round down. x = 13. How close is this
13/35 = 0.371 as apposed to 0.375 which is what 3/8 is.
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.
