Answer:
Step-by-step explanation:
The given sequence is
-12,-16,-20...
The first term of this sequence is 
.
The common difference is
The nth term of this arithmetic sequence is;
We substitute the values for the first term and the common difference to obtain;
9514 1404 393
Answer:
- red division: 6 teams
- blue division: 5 teams
Step-by-step explanation:
We can let r and b represent the numbers of teams in the red and blue divisions, respectively. The total number of goals scored in each division will be the average for that division times the number of teams in that division.
r - b = 1 . . . . . . there is 1 more red team than blue
4.5r +4.2b = 48 . . . . . . total goals scored per week
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Solving by substitution, we have ...
r = b +1
4.5(b +1) +4.2b = 48 . . . . substitute for r
8.7b +4.5 = 48 . . . . . . . . simplify
8.7b = 43.5 . . . . . . . . . . subtract 4.5
b = 43.5/8.7 = 5 . . . . . divide by 8.7
r = b +1 = 6 . . . . . . . . . find r
There are 6 red teams and 5 blue teams.
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<em>Additional comment</em>
The basic idea is that you make an equation for each relation given in the problem statement. For a problem like this, you do need to have an understanding of how the average number of goals would be calculated and how that relates to the total goals.
Answer:
B. 30°
Step-by-step explanation:
It would be 27/8 = 3 3/8 next 18/5 = 3 3/5 after that 19/6 = 3 1/6 lastly 35/4 = 8 3/4
Hope this helped!
Answer:
To know how much he bought it for, let's consider the actual amount it be x.
Step-by-step explanation:
10% of x + $585 = x
x/10 + $585 = x
$585 = x-x/10
$585= 9x/10
9x=$5850
x=$5850/9
x=$650
.: the actual price was $650.
