Let's tackle your equation step-by-step.
9x+60=10x−2
Step 1: Subtract 10x from each side.
9x+60−10x=10x−2−10x
−x+60=−2
Step 2: Subtract 60 from each side.
−x+60−60=−2−60
−x=−62
Step 3: Divide both sides by -1.
−x
/−1
=
−62
/−1
x=62
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Answer:
160/1001, 175/1001
Step-by-step explanation:
i) We calculate:
₈C₁ methods to select 1 new camera from a selection of 8
₆C₃ methods to select 3 refurbished cameras from a selection of 8
₁₄C₄ methods to select 4 cameras from the total of 14 cameras
The probability formula is:
P = ₈C₁ ₆C₃ / ₁₄C₄
P = 8×20 / 1001
P = 160 / 1001
P ≈ 0.160
ii) For at most one new camera, it means we want either one new camera or none at all. We've calculated the probability of selecting one new camera already. The probability of not selecting any new camera is equivalent to selecting 4 refurbished cameras:
P = ₆C₄ / ₁₄C₄
P = 15 / 1001
Therefore, the combined probability is:
P = 160/1001 + 15/1001
P = 175/1001
P ≈ 0.175
Initial cost = 16000
depreciation rate = 35%
remaining value = 2000
depreciation over one year = 16000*35% = 5600
5600*2 = 11200 + 5600*6\12 = 2000
The car is aged 2.5 years, accounting for two full years and an additional half year of depreciation.
For the blue marbles:
16 = 8 * 2 (8 sets containing 2 marbles each)
For the white marbles:
8 = 4 * 2 (4 sets with 2 in each)
8 + 4 = 12
Answer:
The maximum number of groups that Colton can form is 12.
