Answer:
The 8th term of the sequence is 896/2187.
Step-by-step explanation:
We want to find the 8th term of a geometric sequence whose common ratio is 2/3 and whose first term is 7.
We can write a direct formula. Recall that the direct formula of a geometric sequence is given by:

Where <em>a</em> is the initial term and <em>r</em> is the common ratio.
Substitute:

To find the 8th term, let <em>n</em> = 8. Substitute and evaluate:

In conclusion, the 8th term of the sequence is 896/2187.
Answer:
Fraction = 
Decimal = 0.38
Percent = 38%
Step-by-step explanation:
Number of shaded rectangles = 38
Total number of rectangles = 100
Fraction represented by the shaded area = 
= 
= 
= 
Decimal form of the shaded area =
= 0.38
Percent of the shaded area =
= 38%
Answer:
0.15kg
Step-by-step explanation:
Given data
We are told that
0.75 kg of cortos weights 5times the mas of the onion
We want to find the mass of 1 onion
Hence
0.75 kgcortos = 5 onions
x cortos = 1 onions
x= 0.75/5
x= 0.15kg
Hence 1 onion will weigh 0.15kg
Solve for x.
First multiply everything in the parenthesis by 3.
12 + 12x = 12 + 12x
There is an infinite amount of solutions.
Hope this helps!
Answer:
$20
Step-by-step explanation:
Easy formula for these problems is new price divided by change in percent as decimal with 1 at begining. So for this problem it is 21.05/1.0525. You can then test your answer by muliply you answer by 1.0525.