Time + line - practice problems
Number of problems found: 71
- Overtime and salary
An employee earns R150 per hour and the agreed normal working hours are 45 hrs per week. Overtime is paid at 1 1/2 of the normal rate. If Dave works 52 hrs during the first week of March. What will the total earnings for that particular week be? - Human population
The populations of two cities after t years can be modeled by -150t+50,000 and 50t+75,000. What is the difference in the populations of the towns when t=4? - The midday
The midday temperature in Pensacola Beach was 84°F. For the next five hours, it changed to –2°F per hour. The expression 84 − |−2 ⋅ 5| represents the current temperature. What is the current temperature in degrees Fahrenheit? - Temperature - linear function
In the morning, at 08:00 hours, the temperature was -8°C, and in the afternoon, at 16:00 hours, the temperature was 24°C. Assuming that the temperature changes steadily, what was the temperature at 1300 hours, and what was the time when the temperature wa
- The temperature 41
The temperature drops by 5 degrees per Hour in Alaska. It is 4 degrees at 6 PM. What will the temperature be at 9 PM? - The temperature 39
The temperature outside is currently 10 degrees, dropping at an average rate of 2 degrees per hour. If the temperature continues to drop at this rate, what will the temperature be in 7 hours? - A gym
The A gym offers two packages for yearly memberships. The first plan costs $50 to be a member. Then, when you visit the gum, it is $5 to get in. The second plan costs $200, but it only costs $2 to get in each time you visit. How many visits would it take - At noon 3
At noon, the temperature was 45˚ F. For the next ten hours, the temperature fell at a steady rate. The graph represents the temperature every hour since noon. At 5:00 temperature was 20°F. At what rate did the temperature fall? - The temperature 38
The temperature has been dropping 2 degrees every hour, and the temperature at 10:00 AM was -15 degrees Fahrenheit. At what time was the temperature 0 degrees Fahrenheit?
- Passenger 18
Passenger and freight trains are operated between stations I and II, where the distance between stations is 16 km. The speed of the passenger trains is 100km/h, and the speed of the freight trains is 60km/h for a single-line railway track. The waiting tim - Acceleration 83304
The acceleration of a mass point during its rectilinear movement decreases uniformly from the initial value a0 = 10 m/s2 at time t0 = 0 to a zero value for a period of 20 s. What is the speed of the mass point at time t1 = 20 s, and what is the path of th - Hourglass 83292
The hourglass ticks three times in 5 minutes. How many times do they spill in 2 hours? - Vertex of the rectangle
Determine the coordinates of the vertex of the rectangle inscribed in the circle x²+y² -2x-4y-20=0 if you know that one of its sides lies on the line p: x+2y=0 - The tangent of the hyperbola
Write the equation of the tangent of the hyperbola 9x²−4y²=36 at the point T =[t1,4].
- Simultaneously 82583
The crane lifts the load in a uniform, straight line to a height of 8 m and simultaneously moves in a horizontal direction to a distance of 6 m. What path did the load cover? What was the resulting velocity of the load if it took 50 seconds to move it - Perpendicular 82473
In the right triangle KLM, the hypotenuse l = 9 cm and the perpendicular k = 6 cm. Calculate the size of the height vl and the line tk. - X-coordinate 81737
In triangle ABC, determine the coordinates of point B if you know that points A and B lie on the line 3x-y-5=0, points A and C lie on line 2x+3y+4=0, point C lies on the x-coordinate axis, and the angle at vertex C is right. - Straight 80603
How many hours does it take for the minute hand to travel a straight line and a right angle? - Destination 80553
The train traveled along the high-speed line at an average speed of 180 km/h. He left the starting station at 6:00 a.m. and arrived at the destination at 8:40 a.m. But halfway through the journey, he stopped at the station, where he stood for 10 minutes.
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