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

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.

The total surface area is 1,350 sq. cm. Find the surface area ofone side and then multiply by six because a cube has six equal
faces. The surface area of one side is 225,

15(2) = 15x 15 = 225, for a total of 1,350,6 x 225 = 1,350.

The tax for this purchase is calculated by multiplying the pre-tax price by the percent of tax written in decimal form;
$20x0.0715 = $1.43. Then, add the tax to the original sales amount for the total, $20+ $1.43 = $21.43; $21.43 is the total.

Matt needs a profit of $3,870 and he has purchasing costs of: $2,900,100 x $29 = $2,900
For a total of $6,770 that he needs to collect from sales. He is guaranteed to sell at least 80 faucets, so the money should be distributed among the 80 faucets by dividing $6,770/80 = $84,625, and rounding up to the nearest penny. Even though the exact value is not on the list, choose the price that is close and a little above to guarantee the profit.

ake the fractions that Mark has already worked and add them together by finding a common denominator,
1/6 + 2/5 = 1(5)/30+2(6)/30 = (5 + 12)730 = 17/30.

First convert yards to feet. Since there are 3 ft. in a yard, the customer wants to buy 6 ft of rope: 2 yds x 3 ft/yd = 6 ft. Multiply 6 ft by the cost of rope per foot to get the total price; 6 ft x $0.75/ft = $4.50.

The volume of a cylinder is the area of the base, a circle, times its height. The diameter is 4 ft. so the radius is 4 ft./2 = 2 ft. The area of the base is pi times r(2), or approximately 3.14 x (2 ft) (2) = 12.56 sq.ft. The volume = area of base x height = 12.56 sq. ft. x 10 ft = 125.6 cu.ft.

To find the cost of renting equipment, start with the weekly rate, $45, and add that to the additional cost of the miles traveled. There is a charge of 5 cents per mile, and since we have m miles in this problem, .05m represents the additional charge. Make sure to put 5 cents into dollar form so that all the information is in the same unit, the weekly charge is already in terms of dollars so it is easier to transfer everything into dollars. The total charge is found by adding the parts together 45 +.05m.

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 find the cost per grinder, divide the total cost, $900, by the number of grinders, 120; $900+ 120 = $7.50.

A circle will provide the largest area. In order to find the area of the circle, you must find the radius using the circumference
(perimeter), which is 12.73 ft,
C = 3.14x2xr,80 = 3.14x2xr;
r = 12.
73. The area of a circle is calculated by A=3.14r(2), giving a total of 509.8 sq. ft. If a square shape were built, the sides would be 20 x 20 (8% = 20) giving an area of only 400 sq. ft., 20 x 20 = 400. Playing around with numbers for a rectangle will show that the area would not be able to exceed the circle.

There are 14 stairs with a ratio of 3:7. The total depth is 210 in, 14 * 15 = 210 and using a simple proportion will help find the height. 3/7 = x/10;
7x = 3(210); (7x)/7 = 630/7;x= 90.
90 inches is the same as 7.5 ft, 9°/iz = 7.5.

The length of the plot is 60 yards. Convert this to feet by multiplying by 3. The length of the plot is 180 feet. Break this
up into 20 foot sections, since each tree must be 20 feet apart; 180/20 = 9 sections. Make a picture of the plot of land with the trees drawn in to determine the maximum number of trees. There can be a maximum of 8 trees, since each tree must be 20 feet from the edge.

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