Kim's age is three times that of her sister's age. when you add kim's age to her sister's age, you get 40. how old is each sister? (a) write an equation that represents the situation. explain any variable used. (b) solve the equation from part (a). show your work. state your solution as a complete sentence. i do not understand how to do this. you

When solving a problem like this you will need to break down the equation. The answer is actually really simple and easy.

For Kim's age we will use X as the variable. For her sister we will use Y.

y*3=x  and   X+Y=40 and that will get us our answer.

Now we are going to break it down. Kim is three times the age of her sister. So what number under 40 can be evenly distributed into 3 parts since we need to find a number three times greater than another number that can be added one time to itself to equal 40.

The answer to that question would be x=10.

Which means her younger sister is going to be 10

So taking that and plugging it into our equation we will get the following;

10*3(y*3) = (x)30

Which now means Kim's age is 30.

Now we check to make sure. Does 30 + 10 = 40? If so then that's your answer explained and in depth.

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.