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
The case is about proportional relatioship so to slove it you have to do this.
45(V) ?
____ x ____
60(V) 15
45*15=675
60*?=60
675 DIVIDE BY 60=11.25
so the answer is 11.25
hope it help you
thank you
:)
Answer:
decrease by 50%
Step-by-step explanation:
Decreased by 60% = (100%-60%)x = 0.4x.
Decreased by 20% = (100%-20%)x = 0.8x.
initial fraction, and we can see that denominator will increase 2 times, so fraction will decrease 2 times, or decrease by 50%.
Answer:
x =4
Step-by-step explanation:
2/3(x-7)= -2
Multiply each side by 3/2 to clear the fractions
3/2 * 2/3(x-7)= -2 *3/2
x-7 = -3
Add 7 to each side
x-7+7 = -3+7
x =4
Answer:
3.0233088 x 10 raise to power 7