Answer:
122.5 m
Step-by-step explanation:
s = ½g.t²
= ½×9.8×5² = 122.5
Since there is no repetition allowed, there are 10 possibilities for the 1st digit, 9 for the 2nd, 8 for the 3rd, and 7 for the 4th. This gives a total of (10)(9)(8)(7) = 5040 four-digit codes.
For all odd digits to be used, there are 5 possibilities for the 1st digit (1,3,5,7,9), 4 for the 2nd, 3 for the 3rd, 2 for the 4th. This gives a total of (5)(4)(3)(2) = 120 codes that only use odd digits.
Therefore there are 5040 - 120 = 4920 codes that do not consist of all odd digits. The probability is 4920/5040 = 41/42.
Answer:
= £135
Step-by-step explanation:
Original price = 100%
Percentage increase = 20%
New price = 100% + 20% = 120%
If 120% = £162
What about 100% = ?
= (100 x 162) ÷ 120
= 16200 ÷ 120
= £135
Answer:
1st, 2nd and 6th options
Step-by-step explanation:
Given
- x +
= 6x ( multiply through by 6 to clear the fractions )
4 - 6x + 1 = 36x ← option 1 will have the same solution set
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Adding the 2 fractions on the left side gives
+
- x = 6x , that is
- x = 6x ← option 2 will have the same solution set
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From
4 - 6x + 1 = 36x ( add 6x to both sides )
5 = 42x ← option 6 will have the same solution set