Morgan is walking her dog on an 8-meter-long leash. she is currently 500 meters from her house, so the maximum and minimum distances that the dog may be from the house can be found using the equation |x – 500| = 8. what are the minimum and maximum distances that morgan’s dog may be from the house? 496 meters and 500 meters 500 meters and 508 meters 492 meters and 508 meters 496 meters and 504 meters

The minimum and maximum distances that Morgan’s dog may be from the house are 492 meters and 508 meters.

Step-by-step explanation:

The given absolute equation is |x – 500| = 8.

To solve the absolute equation we split the equation in two parts one with positive and another with a negative sign.

For positive sign we have:

x-500=8

Adding 500 both sides x=508.

For negative sign we have :

-(x-500)=8

Or ,-x+500 =8

Or ,-x=8-500

-x= - 492.

x=492.

Hence the minimum and maximum values of x are 492 meters and 508 meters.

i think it is 18

step-by-step explanation:

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.