Thirteen less than eight times a number is equal to 11 more than six times the number

Step-by-step explanation:

8x - 13 = 6x + 11

Subtract 6x from both sides

8x - 6x = 13 + 11

Add 13 to both sides

2x = 24

divide both sides by 2

x = 12

Check solution in original equation;

8(12) - 13 = 6(12) + 11

96 - 13 = 72 + 11

83 = 83

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.

final total: 63

step-by-step explanation:

60 times sales tax

60 times 0.05

3

60 + 3

63