Grade - math word problems - page 187 of 946
Number of problems found: 18901
- Coefficient 80516
An aluminum wire has a resistance of 4.25 ohms at 0 degrees. Determine its resistance at a temperature of 200 degrees Celsius. The temperature coefficient of the electrical resistance of aluminum is 4.4·10-3 1/K. - Coefficient 80515
A tractor pulls a tree trunk weighing 1.5 t for a distance of 2 km along a horizontal road at a constant speed. What mechanical work does it do if the coefficient of sliding friction is 0.6? - Coefficient 80514
The resistance of a platinum wire at a temperature of 20°C is 20 Ω, and when heated to 500°C, it increases to 59 Ω. Determine the mean temperature coefficient of platinum - Temperature 80513
A copper wire coil winding has a resistance of 10 Ω at a temperature of 14°C. The passing current by the coil heats up, and its resistance increases to 12.2 Ω. To what temperature did the coil winding heat up? α = 3.92 * 10-3 1/K. - Two tariffs
You pay $20 and $0.05 per minute, and somebody else spends $15 and $0.25 per minute. How long would it take for both of you to spend the same amount? - Swimming pool 7
The perimeter of a rectangular swimming pool is 20 4/5 meters. Its length is thrice its width. What is the length of the pool? What is its width? - Arlene
Arlene weighs 55.8 kg. Tina is two times heavier than Arlene. Together with Karen, the three of them weigh 210.09 kg. How many kilograms does Karen weigh? - Centimeters to inches
How many inches are there in 70.32 centimeters when 1 inch equals 2.54 centimeters? Round off your answer to the nearest thousandth place. - Compare two fractions
Find which is the larger of the two fractions: 11/32, 7/24, by expressing the numbers as a) fractions with the same denominator, b) decimals. - An electrician 3 In setting up a wiring job, an electrician ran the following lengths of wire: 340 m, 203 m, 74 m, and 99 m. Find the total length of wire used.
- Sleeping time
Nicholas took a nap for 4/5 hours, played video games for 3/4 hours, and then took another nap for 2/5 hours. How many hours did Nicholas sleep? - Quotient of two numbers
Find the quotient of 11/8 correct to the first place of the decimal. - Consider 6
Consider the following word problem: The temperature readings for 20 days at 1 AM at a local ski resort were recorded as follows: 9° 27° −4° 1° 5° 14° 6° 28° −2° 16° 30° 4° 20° 30° −5° 15° −7° 25° −1° 5° What was the average of the recorded temperatures f - At night At night the temperature is -3 Celsius and then rises by 15 Celsius during the day. What is the temperature in the daytime?
- A marathon
Trevion is training for a marathon. In February, he ran XLVII miles for his training. In January, he was only able to run XXIV miles. How many more miles did he run in February than in January? - Line - slope intercept form
What is 2x−y= 4 in slope intercept form? - Number 80500 Which number does not belong in the number series and why? 11. . . 13 . . . 15 . . . 17 . . . 19
- Equations: 80499
In the field of real numbers, solve the system of equations: 2x + ⌊y⌋ = 2022, 3y + ⌊2x⌋ = 2023. (⌊a⌋ denotes the (lower) integer part of the real number a, i.e., the largest integer not greater than a., E.g., ⌊1.9⌋ = 1 and ⌊−1.1⌋ = −2.) - Circumscribing 80498
Given is an acute-angled triangle ABC. On the half lines opposite to BA and CA lie successively the points D and E such that |BD| = |AC| and |CE| = |AB|. Prove that the center of the circle circumscribing triangle ADE lies on the circle circumscribing tri - Calculate: 80496
Calculate: |7 − 15| + |8| − |−13| − 1 =
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