Jack compute the cost of covering the floor of his dining room with tile. the floor measures 15 feet 8 inches by 10 feet 4 inches. each tile covers 1 square foot. a box of 20 tiles costs $49.80. how many boxes will he need to buy and what is the cost?
a. jack will need 7 boxes; the cost is $348.60
b. jack will need 8 boxes; the cost is $398.40
c. jack will need 9 boxes; the cost is $448.20

C. Jack will need 9 boxes; the cost is $448.20

The area of the floor is the product of its length and width:

... A = LW = (15 2/3 ft)·(10 1/3 ft) = (150 +5 + 6 2/3 + 2/9) ft² = 161 8/9 ft²

8 boxes will cover 8·(20 ft²) = 160 ft², so is not enough tile.

Jack will need 9 boxes.

The cost of 9 boxes of tile is ...

... (9 boxes)·($49.80/box) = $448.20

The cost is $448.20.

Comment on this solution

The floor area calculation assumes tiles can be cut and fit without any issues. More likely, 11 rows of 16 tiles would be used, for a total of 176 tiles. Fortunately, 9 boxes contain 180 tiles, so 9 boxes is enough.

"it's not the heat, it's the humidity".   that's a partly valid phrase you may have heard in the summer, but it's actually both.   the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature.   this has important considerations for the human body's comfort.   when the body gets too hot, it begins to perspire or sweat to cool itself off.   if the perspiration is not able to evaporate, the body cannot regulate its temperature.   evaporation is a cooling process.   when perspiration is evaporated off the body, it effectively reduces the body's temperature.   when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases.   in other words, the human body feels warmer in humid conditions.   the opposite is true when the relative humidity decreases because the rate of perspiration increases.   the body actually feels cooler in arid conditions.   there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation: