Answer:
Its the first option.
Step-by-step explanation:
3x + y = 5
5x - 4y = -3
From equation 1:
y = - 3x + 5
Substituting for y:
5x - 4(-3x + 5) = -3
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.
<u>Answer</u>:
A. 
<u>Step-by-step explanation:</u>
The formula for arc length is:
arc length = rθ
where:
r is the radius = 7 in
θ is the central angle in radians = 135 × 
= 3/4 π
Substituting these values into the formula:
arc length = 7 in × 3/4 π
=
30 Answer:
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