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: x= -1
y= -2
Step-by-step explanation:
-4x+3y= -2
y=x-1
-------------------
-4x+3(x-1)= -2
-4x+3x-3= -2
-x=1
x= -1
y=-1-1
y=-2
Answer:
approximately 10
Step-by-step explanation:
Volume = 1/3h times times radius square
1570 = 1/3 x 15 x 22/7 x
1570 = 5 times times
1570 = 15.71
=
99.9 = r^2
= r
≅10
Answer:
0.062
Step-by-step explanation:
The numbers will decrease by 0.001 as you move the the left, so the list of numbers can be found as ...
3rd number: 0.064
2nd number: 0.064 -0.001 = 0.063
1st number: 0.063 -0.001 = 0.062
Answer:
Step-by-step explanation:
From the problem statement, we can set up the following two equations:
where is the number of Knicks players, and is the number of Nets players.
We can substitute the first equation into the second and solve for