Calculate the number of risers required.
1. Convert height from feet to inches.
Multiply feet by 12"
12’ x 12” = 144”
2. Divide by 7”
144" / 7" = 20.57 risers
3. Subtract 1 riser for the top floor
20.57 - 1.00 = 19.57 Round up to 20 risers

The fraction 1/10 is the same as 10%, 1/10 x 100 = 10%. 10% is the amount that is used; so 90% is available,
100%-10% = 90%.

Note: m2 = sq. meter. The pebble walkway is acting like a border around the pool. There is now a larger rectangle around the pool with an additional 5 m on each side, 2.5 + 2.5 = 5. If you find the area of the larger rectangle and subtract away the area inside,
you are left with the area of the border. It is almost like cutting out the middle of the big rectangle. The area of the large rectangle is: 3,400 m2, |xw = A, 85x40 = 3,400. The area of the pool is only 2,800 m2,80 x 35 = 2,800. Subtract the two areas to find that the is 600 m2,3,400-2,800 = 600.

The final calculation is for two houses, so it may be easier to find out how much it costs to clean one house and then double it at the end. One room in the house costs $25 so the additional six rooms will cost $27,6 x $4.50 = $27, so the total for one house is $52, $25 + $27 = $52. We are trying to find the cost for two houses, so by doubling the cost for one house we find the total cost is $104, $52x2 = $104.

When mixing products together to end up with a new product, you must take into account the contribution of the parts. Aggregate
cost $5.25/Ib, but we do not know how many pounds, x, are being mixed, so aggregate can be represented by 5.25x The pre-made mixture costs $3.25/lb and there are 5 lbs of it, so the mixture can be represented by 3.25(5). These first two parts are being added together to make a new mixture worth $4.50/lb, and there will be a total of 5 + x lbs in the end (pre-made mixture + aggregate). So (5 + x) 4.50 = 5.25x + 3.25 (5). Solving for x,x = 8.33.

1. Calculate the material costs and labor savings for Type A Doors.
$400 x 6 = $2,400: material cost $20 x 6 = $120: labor savings
2. Calculate the material costs for Type B Doors.
$180 x 6 = $1,080: material cost
3. Calculate the total savings for Type A over Type B doors.
a. Subtract the labor from the material costs for Type A doors.
$2,400 - $120 = $2,280
b. Subtract the cost of Type B doors from Type A doors.
$2,280 – $1,080 = $1,200

1. Find the excavation depth. It is the difference in site readings .85.
25' - 83.75' = 1.5'
2. Use the formula:
Excavation Depth (difference between the site readings) x Soil Slope
1.5 x 1.5 = 2.25'

The 1,400 ft2 home costs about $14.29 per ft2:
$20,000 +1,400 square feet = $14.29 per ft2.
The 2,200 ft2 home costs about $12.23 per ft2:
$28,000 + 2,200 square feet = $12.73 per ft2.
The 2,500 ft2 home costs about $14 per ft2:
$35,000 + 2,500 square feet = $14 per ft2.
The cheapest price perft2 is $12.73 by Smithco. If this company is
hired to construct 2,800 ft2 homes, it will cost $35,644 per home:
2,800 square feet times $12.73 per ft2 = $35,644.
Rounded to the nearest thousand, the answer is $36,000.

Since a post is needed for every four feet of fencing, divide the number of feet of fencing, f, by four to find the number of posts needed. The expression is f/4.

Find the area of the four walls. Two of the walls are 15 feet by 8 feet. The other two walls are 12 feet by 8 feet; 15 x 8 = 120 square feet; 12 x 8 = 96 ft2. The total area of the walls in the room is 120 +120 + 96 + 96 = 432 square feet. Next, find the number of gallons of paint that must be purchased. Each gallon covers 300 square feet, so two gallons will be needed. Last, calculate the cost of those two
gallons of paint; 2 x $25.50 = $51.00.

One package and 16 individual switches costs $49.70, $26.50 +16($1.45) = $26.50 +$23.20 = $49.70.
The first option, 2 packages, costs $53.00,2 x $26.50 = $53. Purchasing 36 individual switches is not economical and costs ’ $52.20,36 x $1.45 = $52.20. The last option has too many switches and also costs more, 20 x $1.45 + $26.50 = $29 + $26.50 = $55.50.

Divide the length of the single top plate by the spacing of the rafters.
12' / 1' = 12
Add one for the end. 12 + 1 = 13

The first step is to find out what 4/5 is as a decimal, 4/5 = .8. A decimal can be converted to a fraction by multiplying it by 100, 8 x 100 = 80; 80%.

Subtract 10% of the original price, p, from the original price. To find 10% of the original price, multiply the decimal equivalent of 10%, 0.10, by the original price, p, 0.10p. Subtract this amount 76. from the original price, p - 0.1 Op.

Divide the length of the single top plate by the spacing of the rafters.
14' / 2' = 7
Add one for the end. 7 + 1 = 8