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.

For the highway portion of the trip. Joe will average 65 mph for 13 miles. Since 13 is 1/5 of 65, this portion of the trip will take Joe 1/5 of an hour, or 12 minutes. For the remaining 12 miles of the trip, Joe will average 24 mph. Since 12 is half of 24, this portion of the trip will take half an hour or 30 minutes. The total time will be 12 minutes + 30 minutes = 42 minutes. To arrive by 1:30 p.m., Joe must leave no later than 12:48 p.m. since 1:30 p.m. - 42 minutes = 12:48 p.m. Therefore, the correct answer is 12:48 p.m.

The guests are refunded $13.20, which means it must be subtracted from their bill, $168.50 - $13.20 = $155.30; $155. 30 is the new charge.

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

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.

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.

The tank was 2/5 empty, which means it was % full, 1-2/5 = 5/5-2/5 = 3/5. 3/5 of the total capacity is equal to 310 gallons so the capacity of the tanker is 516.7 gallons.

(3/5)x = 310

= 310x5/3,x = 516.7.

The first stop took 2/9 of the original 310 which means 241.1 gallons remain, 2/9 x 310=68.9.

The next stop took 1/3 of the remaining 241.1 gallons, resulting in 160.7 gallons left over, 1/3 x  241.1 =80.4 =160.7.

For the fill up at the end, the truck will need 356 gallons, 516.7-160.7 = 356.

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.

Multiply 25 by the area of the lawn, 500 square feet; 25 x 500 = 12,500; 12,500 pounds are needed.

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.

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.

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'

This problem is simplified when an equation is used. Use x to represent the number of clients Mike has, (3/8)x to represent Steve's clients, and 3(3/8)(x) to represent the clients for DJ. The total number of clients is 440, so add them up and solve for x.

To find the total bill, add up the cost of the items for a total of $229.97, $12.56 +$141.08 + $76.33 = $229.97

There are 1,000 milliliters in 1 liter. To calculate how many liters 174 milliliters are, divide 174 by 1,000; 174 mL/1,000 mL/L= 0.174 L.