Answer:
-197.2
Step-by-step explanation:
Since it is arithmetic series, first find the difference d between the two know series.
3.8 - 6 = - 2.2
d = -2.2
a = 6
Tn = -29.2
Looking for the n term, use the linear method.
Tn = a+( n - 1)d
Substitute all the parameters
-29.2 = 6+( n - 1 ) -2.2
-29.2 = 6 - 2.2n + 2.2
- 29.2 = 8.2 - 2.2n
-29.2 - 8.2 = - 2.2n
-37.4 = -2.2n
n = 37.4/ 2.2
n = 17 terms.
To Find the exact sum of the arithmetic series, use the sum formula below
Sm = n/2( 2a + (n - 1)d)
Sm = 17/2( 2 × 6 + ( 17 - 1 ) -2.2
Sm = 17/2(12 - 35.2)
Sm = 8.5( - 23.2)
Sm = - 197.2
Therefore, the exact sum of the arithmetic series is -197.2
Answer:
Step-by-step explanation:
The relationship between the number of popcorn and drinks is linear relationshipThe responses are;(a) Please find attached the required graph created with MS Excel(b) From the graph, we have that as the number of bags of popcorn Judy buys increases, the number of drinks decreases linearlyReasons:The given parameter are;Amount Judy took with her to spend on popcorn and drinks = $30Price of each bag of popcorn = $5Price of each drink = Half the price of a bag of popcorn∴ The price of each drink = (a) Let X represent the number of bags of popcorn Judy buys and let Y represent the number of drinks she buys, we have;5·X + 2.5·Y = 302.5·Y = 30 - 5·XWhich gives;Y = 12 - 2·XUsing the above equation, the graph of popcorn and drinks bought by Judy is plotted with MS Excel and attached here(b) The data in the graph are presented as followsThe point corresponding to the y-intercept is the point that gives the maximum number of drinks Judy can buy if she does not buy popcorn is 12 drinks. The number of drinks she can buy reduces by 2 for each bag of popcorn she buys, such that she can buy 6 bags of popcorn and no drinks which is the x-intercept.

Answer:
Step-by-step explanation:
the first one
the second one
the third one
the last one
Answer:
A. 141.4 cm
Step-by-step explanation:
The piramide is 141.4cm
Answer:
$62.9 and $98.4
Step-by-step explanation:
Let the cost of tennis shoe be x
Since a jacket cost $35.50 more than a pair of tennis shoe,
Then cost of jacket would be
= $35.50 + x
Total cost of both items would be;
x + $35.50 + x = $161.30
2x = $161.30 - $35.50
2x = $125.8
x = $62.9
Therefore, cost of pair of tennis shoe is $62.9
Jacket cost would now be
= $35.5 + x
= $35.5 + $62.9
= $98.4