75 additional minutes were used
$61.20-$49.95=$11.25
$11.25/$0.15=75 additional minutes
Step-by-step explanation:
x = 144 ( corresponding angle)
y = 180- 144 ( linear pair)
y= 36°
Step-by-step explanation:
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Answer: x = -1 and y = 5
Step-by-step explanation:
7x + 3y = 8 ........................... equation 1
4x - y = - 9 ............................ equation 2
Solving the simultaneous linear equation by substitution method , make y the subject of the formula from equation 2 , we have
y = 4x + 9 ............................. equation 3
substitute y = 4x + 9 into equation 1 , we have;
7x + 3 ( 4x + 9 ) = 8
7x + 12x + 27 = 8
19x + 27 = 8
subtract 27 from both sides
19x = -19
divide through by 19
x = -1
substitute x = -1 into equation 3 , we have
y = 4 ( -1) + 9
y = -4 + 9
y = 5
Therefore :
x = -1 and y = 5
Answer:
55
Step-by-step explanation:
The n-th term of an arithmetic sequence is given by the formula ...
an = a1 + d(n -1)
where a1 is the first term (5.5) and d is the common difference (0.5).
So, the n-th term is ...
an = 5.5 +0.5(n -1) = 5.0 +0.5n
For n = 100, the term is ...
a100 = 5.0 +0.5(100) = 55
The 100th term of the sequence is 55.