This is a problem disguised with confusing information. The 2:5 ratio must be held in a proportion similar to this, where x represents the real height of the house: 2/5 = 10.2/x;2x = 51;x= 25.5

1. Calculate the effective length of rebar.
a. 30D indicates to multiply 30 x diameter of the rebar.
Convert the 3/4" fraction to a decimal.
3/4" = 0.75"
30 x 0.75 = 22.5"
b. Convert inches to feet. 22.5" / 12" = 1.875' (loss)
c. Subtract the loss from the length of the bar.
20' - 1.875' = 18.125'
2. Use the formula: Quantity x Length / Effective Length = # Rebars Needed
4 x 440' / 18.125' = 97.1 rebars (Round up to 98)

To calculate the perimeter, add up all four sides of the rectangle. The length of the frame will be the length of the poster, 32 in, plus two more inches on each side;
32 in+2 in+2 in = 36 in.
The width of the frame is the width of the poster, 24 in, plus two inches on each side;
24 in+2 in+2 in = 28 in.
To find the perimeter add the two widths and two lengths together;
28 in + 28 in +36 in +36 in = 128 in.

To find out how many are left, subtract the original amount by the amount that was sold: 37 - 9 = 28.

To find the total weight, add up the pounds and ounces separately. The sum of the pounds is 5 lbs+7 lbs +14 lbs = 26 lbs. Next, add the ounces from each bin, 6oz + 12oz + 4oz = 22 oz. Since there are 16 oz in 1 lb, 22 oz is equal to 1 lb and 6 oz. Add
this number to the total pounds from the first step; 26 lbs + 1 lb 6 oz = 27 lbs 6 oz.

1. Convert the thickness from inches to feet. 8”/12 = 0.67’
2. Find the area of the pad.
Use the formula: L’ x W’ x D’ / 27 = CY
18 x 10 x .67 /27 = 4.46666 CY

1. Find the lengths and widths of the top of the retention pond:
Multiply the Depth by the Slope
(1.5 x 6 = 9) Since the pond is a rectangle, we now know that on every side of the pond there will be 9’ between the interior and the exterior.
Multiply that length by 2 to gain the full amount to add to the length and width.
(9 x 2 = 18)
Add 18 to the Length and Width of the Bottom dimensions to get the top dimensions.
Top of the Retention Pond:
L = 75 + 18 = 93
W = 40 + 18 = 58
2. Find the average length and width of the retention pond.
Add lengths of the top and bottom together and divide by 2.
75 + 93 = 168/2 = 84
Add the widths of the top and bottom together and divide by 2.
40 + 58 = 98/2 = 493
Calculate the total volume of the soil to be excavated:
V = [(Avg. L x W) x D] / 27
V = [(84 x 49) x 6] / 27
V = (4,116 x 6) / 27
V = 914.67 cu. yds.

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.

First, start by converting % to a decimal;
4 + 5 = 0.8.
Since each can weighs 0.8 lbs and the shelf can hold 30 lbs, divide 30 by 0.8 to calculate how many cans can be placed; 30 lbs/0.8 Ibs/can = 37.5 cans. Since you can't put 0.5 of a can on the shelf, the maximum number of cans that can be set on the shelf without exceeding the 30 pound weight limit is 37 cans.

To convert inches into feet you must divide by 12 because there are 12 inches for every foot, 274.%2 = 22.9; 22.9 ft.

To solve I = E/R for E, multiply both sides of the equation by R. The Rs cancel each other out on the right side of the equation,
so the equation becomes IR = E. The equation can be flipped ’ around to become E = IR, which is Answer A..

100 x 8 (L x H) = 800 square feet x 14 (brick per square foot) = 11,200 (brick) / 200 (brick per hour) = 56 (hours of labor) x $42.50 (labor per hour) = $2,380.

The customer has been overcharged by $7.80, so subtract this mistake from the total bill: $37.24-$7.80 = $29.44.

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.

Answer D. can be eliminated because the dimensions do not make a perimeter of 24 feet, 10 + 10 +14 +14 = 48. The other choices do make a perimeter of 24 feet. Determine which dimensions create the greatest area by multiplying the length by the width;

6x6 = 36,8x4 = 32, and2x10 = 20.

Therefore a 6-foot by 6-foot pen has the greatest area.