Although the problem above may look really different or much harder than any equation we have solved before, guess what?! It’s not! We still use the same properties to solve these kinds of equations. On the left side of the equation you have a fraction with a numerator of (4b+8) and a denominator of (2). The variable is in the numerator of the fraction so we will need to get rid of the denominator first. The numerator is being DIVIDED by the denominator so how do we undo division? We multiply! Multiply both sides by the denominator, 2, and simplify.

(2)4b+82=10(2)

4b+8=

Now we have a simple two-step equation. Subtract 8 from both sides.

4b=

Lastly, divide both sides by 4 to isolate the variable.

b=

As always, we can check our work by plugging our answer back into our original equation.

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.

the homeowners insurance cost for a 115,000 wood frame house is 80,500.

step-by-step explanation:

it is given that the coverage rate for wood frame house is 0.7.

the value of wood frame house is 115,000.

.

homeowners insurance cost for a 115,000 wood frame house is

therefore the homeowners insurance cost for a 115,000 wood frame house is 80,500.

step-by-step explanation: