Answer:
k = 2.5
Step-by-step explanation:
2.5 (4k+2) = 12k
10k + 5 = 12k
-10k
5 = 2k
5/2
2.5
Answer:
A = (cost per cup of coffee * number of cups) + balance
$15
Step-by-step explanation:
Given that :
Cost per cup of coffee = $1.50
Number of cups purchased = 4
Balance on card = $9
Let A = worth of gift card
A = (cost per cup of coffee * number of cups) + balance
A = (1.50 * 4) + 9
A = 6 + 9
A = $15
Answer:4(3)/(5)
Step-by-step explanation:
Answer:
Step-by-step explanation:
In a geometric sequence, the consecutive terms differ by a common ratio,r. Considering the given sequence,
r = 6/- 2 = - 18/6 = - 3
Therefore, the sequence is geometric.
The formula for determining the nth term of a geometric progression is expressed as
Tn = ar^(n - 1)
Where
a represents the first term of the sequence.
r represents the common ratio.
n represents the number of terms.
From the information given,
a = - 2
r = - 3
The explicit formula is
Tn = - 2 × (- 3)^(n - 1)
To find the 8th term, T8,
T8 = - 2 × (- 3)^(8 - 1)
T8 = - 2 × (- 3)^7
T8 = - 2 × - 2187
T8 = 4374
Answer:
x = 18
Step-by-step explanation:
Given
+ 1 = 
+ 7 ( subtract 1 from both sides )
= + 6
Multiply through by 15 to clear the fractions
9x = 4x + 90 ( subtract 4x from both sides )
5x = 90 ( divide both sides by 5 )
x = 18
