Lan pays a semiannual premium of $650 for automobile insurance, a monthly premium of $125 for health insurance, and an annual premium of $450 for life insurance.

the monthly expense is $? with explanation

Monthly Expense = $270.83

Step-by-step explanation:

The semi-annual premium is paid twice a year so,

Automobile insurance premium for whole year = 650*2

= $1300

Monthly premium will be paid 12 times a year so,

Health insurance premium for whole year = 125*12 = $1500

Annual premium is only paid once a year.

So adding all the premiums will give us the total premiums for whole year.

Total amount of premium for a year = $1300+$1500+$450

= $3250

The premium amount for whole year is $3250. To find the monthly expense, we will divide it by 12.

So monthly expense is:

= 3250/12

= $270.83 ..

y=mx+b

step-by-step explanation:

m slope, b y-intercept

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.