It took 30 1-foot square tiles to cover the floor of the Henderson's entry. The length and width of their family room is three times the length and width of their entry. If 10 tiles come in a box, how many boxes will it take to tile the family room?

27 boxes

Step-by-step explanation:

Number of tiles required to cover the entry floor = 30

Since the size of each tile is 1-foot square, then;

area of Henderson's entry = area of each tile x 30

                                            = 1 x 1 x 30

                                            = 30

Let the length of the entry be represented by x, and its width by y.

So that;

length of the family room = 3x

width of the family room = 3y

Area of Henderson's family room = length x width

                                                       = 3x x 3y

                                                       = 9xy

But,

xy = Area of Henderson's entry = 30

So that;

Area of Henderson's family room = 9 x 30

                                                       = 270

Therefore, 270 numbers of 1-foot square tiles would be required to tile the Henderson's family room.

Given that: 10 tiles come in a box number of box to tile the family room can be determined by;

number of box =

                         = 27

The number of boxes required is 27.

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

~