Explanation:
To find the tire with the circumference that is closest to 213 cm, we need to know its tire diameter.
The quickest method is to divide 213 cm by 3.14 to arrive at a diameter of 67.8 cm, which is the closest to the answer choice of 68 cm.
Alternately, we can calculate the circumference for each response choice's indicated diameter and select the one that results in a circumference that is closest to 213 cm. This is the right response since 68 cm multiplied by 3.14 equals 213.5 cm.
Explanation:
We start by calculating the anticipated number of returned laser pointers:
6% of 772 = .06 × 772 ≈ 46.3 laser pointers
Now, we can calculate the anticipated refund sum:
46 laser pointers × $24.99 per laser pointer = $1,149.54
$1,150 is the answer closest to our calculated amount.
Explanation:
3×24 hours = 72 hours
Explanation:
First, convert 15½ to 15.5 and 18½ to 18.5 and multiply these two values to obtain the area of the room in square feet. Next, divide this number (286.75) by the area covered by one box of tiles (25 sq ft). Finally, round 11.47 boxes up to 12 boxes, as it is probably not possible to order a fraction of a box of tiles.
15½ becomes 15.5 and 18½ becomes 18.5; 15.5 x 18.5 = 286.75 sq ft;
286.75 sq ft ÷ 25 = 11.47, then rounded up to 12 boxes
Explanation:
First, calculate 40% of 8.75 hours as follows:
40% × 8.75 hours = 3.5 hours = 3 hours 30 minutes
The time spent creating the new logo can then be calculated by deducting the time spent creating the ad copy:
3 hours 30 minutes − 1 hour 15 minutes = 2 hours 15 minutes
Explanation:
Determine the price of 5 pavers first. Since the 5th brick is free when four are purchased for the standard price of $6.19, we begin by calculating the price of 4 pavers:
$4.76 x 4 pavers = $24.76. 5 pavers cost $24.76 as a set since the fifth paver is free.
Next, divide 100 by 5 to calculate the required number of sets of 5 pavers:
20 sets are produced by dividing 100 pavers by 5.
Lastly, calculate the price of 20 sets of pavers:
20 sets × $24.76 per set = $495.20
Explanation:
To calculate Quik Call's price, convert 5 hours 3 minutes to minutes(60 x 5 = 300; 300 + 3 = 303 minutes) and then multiply this by the rate of 18¢ ($0.18) per minute, which equals $54.54. To calculate Econo Phone's price, round 5 hours 3 minutes up to 5 hours 15 minutes and then convert the 15 minutes to ¼ or .25 hours. This value of 5.25 hours is multiplied by the rate of $7.90 per hour to obtain $41.48. Compare the two costs, $54.54 and $41.48, to determine the lower cost.
5.25 hr × $7.90/hr = $41.48
Explanation:
First, look up the formula for the volume of a cylinder (π r 2h). Next, divide the diameter (2.5 ft) by 2 to find the radius (1.25 ft) and calculate the volume of the cylinder (9.81 cu ft). Finally, the volume must be multiplied by 7.48, the number of gallons per cubic foot, to find the number of gallons remaining in the tank.
2.5 ÷ 2 = 1.25; 3.14 x (1.25)2 x 2 = 9.81 cu ft; 9.81 cu ft x 7.48 gal/cu ft = 73.4 gallons, then rounded down to 73
Explanation:
$16.16 = $20.00 – $3.84
Explanation:
The simplest approach is usually to figure out how much is owed to the cashier, then compare each response to see which yields the same sum. Let's start by calculating the shirt's cost once the discount has been applied:
Price after discount = Price before discount − (0.40)(Price before discount)
Price after discount = $59.00 − (0.40)($59.00)
Price after discount = $35.40
We must now calculate the shirt's ultimate price, P, which includes the 7% tax:
P = $35.40 + (0.07)($35.40)
P = $37.88 (rounded to the nearest cent)
Only the final answer choice provides the right answer of P = $37.88 if we type each answer choice precisely as it is stated.
Explanation:
You are looking for the circumference of the track, so use C=πd
C = 3.14×120 ft
C = 376.8 or, rounded, 377 ft
Explanation:
We must first calculate the width of the rear tires in inches:
Rear tires are 3.94 inches wider than front tires, according to what is said.
Rear tire width = Front tire width + 3.94 inches
Rear tire width = 10.04 inches + 3.94 inches = 13.98 inches
The width in inches must then be converted to millimeters:
13.98 inches × 25.4 mm / 1 inch
=355.092 mm
The rear tires are 355 mm wide, rounded to the nearest whole number.
Explanation:
20.00 − 12.67 = 7.33
Explanation:
To find out how much is contributed for each toy sold, first calculate 2% of $25:
0.02($25) = $0.50 donated for each toy sold
Next, calculate the quantity of toys that would have to be sold to generate a gift of $1699.50:
$1699.50 ÷ $0.50 per toy = 3,399 toys
Explanation:
We start by calculating the quantity of batteries that will be made in year four:
Year One = 10,000 batteries
Year Two = 2 × 10,000 = 20,000 batteries
Year Three = 2 × 20,000 = 40,000 batteries
Year Four = 2 × 40,000 = 80,000 batteries
Next, we need to determine how much Lithium will be required to produce 80,000 SuperPhone batteries.
To do this we set up the following equivalent proportion:
0.8 kg /100 batteries= x kg / 80,000 batteries
Cross-multiplying we have:
(0.8)(80,000) = (100)(x)
Solving, we find x = 640 kilograms.
640 kg of Lithium will be required to make the 80,000 SuperPhone batteries required in year four.
Explanation:
(8 + 7 + 9 + 5 + 7) ÷ 5 = 7.2
