A cash box of $1 and $5 bills is worth $45. The number of $1 bills is 3 more than the number of $5 bills. How many of each bill does it contain?

$1: 10

$5: 7

Step-by-step explanation:

To find out how many of each bill is in the cash box, create an expression

x = the dollar bills

This makes the $5 bills 5x and the $1 bills x (this can also be 1x)

When it says "The number of $1 bills is 3 more than the number of $5 bills" This means that the number of $1 is x + 3 and the number of $5 is 5x

When you put it together the expression will be x + 3 + 5x = 45

First add x and 5x, making it 6x

Next subtract 3 from each side, which makes the equation 6x = 42

Lastly, divide 6 from each side, this means that x = 7

To find out how many bills there are substitute 7 wherever there is an x

This mean that the number of $1 is 7 + 3 (10), and the number of $5 bills are 5x7 (35), but its just 7 because they are $5 each

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.