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
Answer:
534061 miles ²
Step-by-step explanation:
I did 1033x1034 and got 1068122 and then divided by 2 to get 534061 miles
Answer:
Step-by-step explanation:
Since the two triangles are similar, you can use proportions to solve for the value of 

Now, just multiply 4 and 12.

Then divide that by 3.

Therefore,
.
Answer:
x = -10
y = 13
Step-by-step explanation:
-3x + 2y = 56
-5x - 2y = 24
__________ +
-8x____ = 80
x______= 80/-8
______x = -10
-3x + 2y = 56
-3(-10) + 2y = 56
30 + 2y = 56
2y = 56 - 30
2y = 26
y = 26/2
y = 13
Answer:
0.06
Step-by-step explanation:
probability of multiple of 6= 0.2
probability of multiple of 4= 0.3
0.2 * 0.3 = 0.06