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Answer:
Step-by-step explanation:
Let x = the number of $20 bills.
Then x + 6 = the number of $5 bills and
20x + 5(x + 6) = 455
x = 17 = number of $20 bills
x + 6 = 17 + 6 = 23 = number of $5 bills
Check:
OK.
Answer:
99
Step-by-step explanation:
Through some clever algebra, we can combine our first two equations using the fact that
We have the a² and the b² in the equation 
, and we <em>almost </em>have a 2ab in the equation 
. To get that 2ab, we can simply double both sides of the first equation to get 
. From there, we'll add the first two equations together, giving us the summed equation
And since , we can equivalently say that
Answer:
Each plane ticket was $189.3
Step-by-step explanation:
If all tickets were at the same price, and for five tickets the person paid $946.50, then to find out how much was each ticket, we simply have to divide this quantity by 5:
$946.5 / 5 = $189.3
Answer:
t(n)= 0.2 * 2ⁿ
Step-by-step explanation:
Thickness= 0.2 millimeters
paper = 1
n= number of folds
The exponential function will be given by
t(n)= 0.2 * 2ⁿ
so if there's a single fold
t(1)= 0.2 * 2¹
t(1)= 0.4 mm
Now for 2 folds the thickness will be
t(2) = 0.2 *2 ²
t(2)= 0.2 *4
t(2) = 0.8mm
The exponential that represents this scenario is
t(n)= 0.2 * 2ⁿ
And for 3 folds the thickness will be
t(3) = 0.2 *2 ³
t(3)= 0.2 *8
t(3) = 1.6 mm
