Roger is tiling the floor of his bathroom with ceramic squares. The floor measures 84,0 inches by 84.0 inches, and each tile covers 4.00 x 4.00 square inches. He will need
to leave a gap of 24.0 x 10,0 square inches in the tiling for the toilet. Gaps around the
edge will be covered later with trim. Assume the tiling will be done with whole tiles only.
5. How many whole tiles will Roger need for 1 row?
6. How many whole tiles would he need for the entire floor without leaving a gap?
7. How many tiles should be remove from this estimate to account for the gap?

180-142=38 for the acute angle next to the entry

90+38=128

180-128=52

a=52

step-by-step explanation:

delaney would like to make a 5lb nut mixture that is 60% peanuts and 40% almonds.

she has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds.

let 'p' represent the number of pounds of peanuts needed to make the new mixture, and  

let 'm' represent the number of pounds of the 80% almond-20% peanut mixture.

:

p + m = 5

therefore

m = (5-p)

write an equation based on the percent of peanuts

1p + .2m = .6(5)

replace m with (5-p)

p + .2(5-p) = .6(5)

p + 1 - .2p = 3

p - .2p = 3 - 1

.8p = 2

p = 2/.8

p = 2.5 lbs of peanuts required

then

5 - 2.5 = 2.5 lbs of the peanut/almond mixture required

:

a) what is the system that models this situation?

p + m = 5

1p + .2m = .6(5)