Answer: the height in inches, of the pile after 3 weeks is 34 11/12 inches
Step-by-step explanation:
Each consecutive week for the next 5 weeks the height of pile increase by 8 7/12 inches. Converting 8 7/12 inches to improper fraction, it becomes 103/12 inches. The height is increasing in an arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + (n - 1)d
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = 17 3/4= 71/4 inches
d = 103/12 inches
n = 3 weeks
the height in inches, of the pile after 3 weeks, T3. Therefore,
T3 = 71/4 + (3 - 1)103/12
T3 = 71/4 + 2 × 103/12 = 71/4 + 103/6
T3 = 419/12 inches = 34 11/12 inches
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Answer:
the lines are perpendicular
Step-by-step explanation:
You can tell something by looking at the differences of coordinates:
B-A = (6-2, -11-5) = (4, -16) . . . . . Δy/Δx = -16/4 = -4
D-C = (-1-3, 9-10) = (-4, -1) . . . . . Δy/Δx = -1/-4 = 1/4
The product of the slopes of these lines is (-4)(1/4) = -1, so ...
the lines are perpendicular
Answer:
130 minutes total and 2 hours and 10 minutes
Step-by-step explanation:
Its correct
Answer:2 1/2 + 1/3 = 5/2 + 1/3 = 15/6 + 2/6 = 17/6 cup
(2/6)/(17/6) = (2/6)(6/17) = 2/17 (two parts in 17), or 11.8%
1 2/3 + 1/4 = 5/3 + 1/4 = 20/12 + 3/12 = 23/12 cup
(3/12)/(23/12) = (3/12)(12/23) = 3/23 (three parts in 23), or 13.04%
Step-by-step explanation:
Answer:12/3=4 he washed 4 cars in an hour so he earned $20 per hour since 4*5=$20
Step-by-step explanation:
