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Question 1210382: Solve: 45x + 30 = 120
x = 12
x = 10
x = 6
x = 2

Click here to see answer by Edwin McCravy(20055) About Me 
Question 1210382: Solve: 45x + 30 = 120
x = 12
x = 10
x = 6
x = 2

Click here to see answer by ikleyn(52781) About Me 
Question 1210382: Solve: 45x + 30 = 120
x = 12
x = 10
x = 6
x = 2

Click here to see answer by josgarithmetic(39617) About Me 

Question 1167590: Stanley practices his running, swimming and biking every day. During these practices he runs at 9 mph, bikes at 16 mph and swims at 2.5 mph. Yesterday he ran for half an hour longer than he swam, and his biking time was twice his running time. How long did Stanley run, swim, and bike yesterday if the total distance he covered was 64 miles?
(a) If Stanley swam for t hours yesterday, what was his running time?
(b) In terms of t, how long did Stanley bike yesterday?
(c) What distance did Stanley covered while swimming?
(d) What distance did Stanley covered while running?
(e) What distance did Stanley covered while biking?
(f) What was the total distance Stanley covered during practices in terms of t?
(g) Write the equation that will allow you to find the practice time.
(h) For how long did Stanley swim, run, and bike yesterday?
I know someone else asked this but the answers were wrong

Click here to see answer by mccravyedwin(407) About Me 
Question 1167590: Stanley practices his running, swimming and biking every day. During these practices he runs at 9 mph, bikes at 16 mph and swims at 2.5 mph. Yesterday he ran for half an hour longer than he swam, and his biking time was twice his running time. How long did Stanley run, swim, and bike yesterday if the total distance he covered was 64 miles?
(a) If Stanley swam for t hours yesterday, what was his running time?
(b) In terms of t, how long did Stanley bike yesterday?
(c) What distance did Stanley covered while swimming?
(d) What distance did Stanley covered while running?
(e) What distance did Stanley covered while biking?
(f) What was the total distance Stanley covered during practices in terms of t?
(g) Write the equation that will allow you to find the practice time.
(h) For how long did Stanley swim, run, and bike yesterday?
I know someone else asked this but the answers were wrong

Click here to see answer by ikleyn(52781) About Me 
Question 1167590: Stanley practices his running, swimming and biking every day. During these practices he runs at 9 mph, bikes at 16 mph and swims at 2.5 mph. Yesterday he ran for half an hour longer than he swam, and his biking time was twice his running time. How long did Stanley run, swim, and bike yesterday if the total distance he covered was 64 miles?
(a) If Stanley swam for t hours yesterday, what was his running time?
(b) In terms of t, how long did Stanley bike yesterday?
(c) What distance did Stanley covered while swimming?
(d) What distance did Stanley covered while running?
(e) What distance did Stanley covered while biking?
(f) What was the total distance Stanley covered during practices in terms of t?
(g) Write the equation that will allow you to find the practice time.
(h) For how long did Stanley swim, run, and bike yesterday?
I know someone else asked this but the answers were wrong

Click here to see answer by Edwin McCravy(20055) About Me 
Question 1167590: Stanley practices his running, swimming and biking every day. During these practices he runs at 9 mph, bikes at 16 mph and swims at 2.5 mph. Yesterday he ran for half an hour longer than he swam, and his biking time was twice his running time. How long did Stanley run, swim, and bike yesterday if the total distance he covered was 64 miles?
(a) If Stanley swam for t hours yesterday, what was his running time?
(b) In terms of t, how long did Stanley bike yesterday?
(c) What distance did Stanley covered while swimming?
(d) What distance did Stanley covered while running?
(e) What distance did Stanley covered while biking?
(f) What was the total distance Stanley covered during practices in terms of t?
(g) Write the equation that will allow you to find the practice time.
(h) For how long did Stanley swim, run, and bike yesterday?
I know someone else asked this but the answers were wrong

Click here to see answer by MathTherapy(10552) About Me 

Question 1168000: A certain airplane can maintain a speed, without the presence of wind, of 210 mi/h and goes in the direction N 30° E. A wind is blowing west at 30 mi/h. Determine the final bearing of the plane and its ground speed. Calculate the speed in mi/h and the bearing in degrees.
Click here to see answer by ikleyn(52781) About Me 
Question 1168000: A certain airplane can maintain a speed, without the presence of wind, of 210 mi/h and goes in the direction N 30° E. A wind is blowing west at 30 mi/h. Determine the final bearing of the plane and its ground speed. Calculate the speed in mi/h and the bearing in degrees.
Click here to see answer by CPhill(1959) About Me 

Question 1170221: The volume and the total surface area of a spherical cone are 766 cu. cm. and 470 sq. cm., respectively. Find the vertex angle

Click here to see answer by ikleyn(52781) About Me 
Question 1170221: The volume and the total surface area of a spherical cone are 766 cu. cm. and 470 sq. cm., respectively. Find the vertex angle

Click here to see answer by CPhill(1959) About Me 

Question 1165646: An object is dropped from rest at a height of 118 m. Find the distance it falls during its final second in the air.
Click here to see answer by ikleyn(52781) About Me 

Question 1168291: The world record for the 10,000 m run has been decreasing steadily since 1940. the function R(t)=30.18-0.06t estimates the record R, in minutes, as a function of t, the time in years since 1940. estimate the record for 2012
Click here to see answer by ikleyn(52781) About Me 

Question 1165530: An engineer in a locomotive sees a car stuck
on the track at a railroad crossing in front of
the train. When the engineer first sees the
car, the locomotive is 160 m from the crossing
and its speed is 29 m/s.
If the engineer’s reaction time is 0.22 s,
what should be the magnitude of the minimum deceleration to avoid an accident?
Answer in units of m/s^2
.

Click here to see answer by ikleyn(52781) About Me 

Question 1171404: Hi
Town P and town Q are 720km apart.Maggie & Andrew left town P at the same time. The average speed of Andrew was 40km per hour, Maggies was 60km per hour. As soon as they passed Point K which was 1/3 of the total distance,Maggie began to travel at a speed of 80km per hour. Both of them took the same number of hours to travel from town P to town Q.
How long did Maggie take to travel from town P to Point K.
What was Andrews speed from Point K to town Q.
Thanks

Click here to see answer by MathTherapy(10552) About Me 
Question 1171404: Hi
Town P and town Q are 720km apart.Maggie & Andrew left town P at the same time. The average speed of Andrew was 40km per hour, Maggies was 60km per hour. As soon as they passed Point K which was 1/3 of the total distance,Maggie began to travel at a speed of 80km per hour. Both of them took the same number of hours to travel from town P to town Q.
How long did Maggie take to travel from town P to Point K.
What was Andrews speed from Point K to town Q.
Thanks

Click here to see answer by josgarithmetic(39617) About Me 

Question 1171450: The CN Tower in Toronto, Canada, is the tallest free-standing structure in North America. A woman on the observation deck, 1150 ft abouve the ground, wants to determine the distance between two landmarks on the ground below. She observes that the angle formed by the lines of sight to these two landmarks is 43°. She also observes that the angle between the vertical and the line of sight to one of the landmarks is 62° and that to the other landmark is 54°. Find the distance between the two landmarks.
Click here to see answer by CPhill(1959) About Me 

Question 1171451: A water tower 30 m tall is located at the top of a hill. From a distance of 120 m down the hill it is observed that
the angle formed between the top and base of the tower is 8°. Find the angle of inclination of the hill; that is, the
angle that the slope of the hill makes with the horizontal.

Click here to see answer by ikleyn(52781) About Me 

Question 1209809: Mark is involved in a cross country run and starts down the path at his normal pace; he usually covers 12 m in 2.0 s. After tying his shoelace for 15 s, Frank discovers that he has just given Mark a large lead. Nonetheless, Frank is faster at 6.5 m/s. Determine:
How long does it take Frank to catch Mark? (180 s)
If the race is 3 km in length, who finishes first and by what distance? (Frank, 140 m)

Click here to see answer by ikleyn(52781) About Me 

Question 1177526: 1) At what Chicago local time is the chicago-frankfurt flight due to arrive in Frankfurt.
2)If it is 11:45am in Adelaide, what time is it in Moscow?
3) If it is 11:20am in Caracas what time is it in Auckland?
Departure Arrival City Time zone
Chicago 7:05pm* 2:45pm Chicago ST -6
Frankfurt ST +1
Caracas ST -4
Auckland ST 11
Adelaide ST 8.5
Moscow ST 3
*Previous Day ST: Summer Time

Click here to see answer by CPhill(1959) About Me 

Question 1177535: Questions:
1) At what Chicago local time is the chicago-frankfurt flight due to arrive in Frankfurt.
2)How long does the flight from Lisbon to Frankfurt take?
3) At what Shanghai local time is the Tokyo-frankfurt flight due to arrive in frankfurt?
INFO:
Leaving Departure Arrival City Time zone
Chicago 7:05pm* 2:45pm Chicago ST -6
Lisbon 7:35am 11.30am Frankfurt ST +1
Tokyo 12:30pm 8:45pm Shanghai ST +8
*Previous Day ST: Summer Time

Click here to see answer by CPhill(1959) About Me 

Question 1177536: Questions:
1) At what Chicago local time is the chicago-frankfurt flight due to arrive in Frankfurt.
2)If it is 11:45am in Adelaide, what time is it in Moscow?
3) If it is 11:20am in Caracas what time is it in Auckland?
INFO:
Leaving Departure Arrival City Time zone
Chicago 7:05pm* 2:45pm Chicago ST -6
Lisbon 7:35am 11.30am Frankfurt ST +1
Tokyo 12:30pm 8:45pm Shanghai ST +8
Auckland ST +11
Adelaide ST +8.5
*Previous Day ST: Summer Time

Click here to see answer by CPhill(1959) About Me 

Question 1178658: Find the magnitude and direction of the resultant for Vq = 5 ms and Vp 6ms. with angle 120 degrees between the two lines.
Click here to see answer by CPhill(1959) About Me 

Question 1178659: Aeroplane A has a velocity of (-10i + 10j). To a passenger on aeroplane A, an aeroplane B appears to be travelling with a velocity of (16i + 4j). Find the velocity of the aeroplane B.
Click here to see answer by CPhill(1959) About Me 

Question 1178660: A ship is sailing south west with a speed of 16√2 km/h and a submarine is travelling with velocity of (20i + 15j) km/h.
(a) Find the velocity vector of the ship.
(b) Find the velocity of the ship relative to the submarine.

Click here to see answer by CPhill(1959) About Me 

Question 1178662: A stationary observer O observes a ship S at noon, at a point whose coordinates relative to O are (20, 15); the units are kilometres. The ship is moving at a steady 10 km/h on a bearing of 150 degrees.
a) Express its velocity as a colum vector.
b) Write down in terms of t, its position after t hours.
c) Hence, find the value of t when it is due East of O. How far is it from O at this instant?

Click here to see answer by CPhill(1959) About Me 

Question 1181618: Modern oil tankers weigh more than a 1/2 million tons and have lengths up to one - fourth mile. Such massive ships require a distance of 5.0 km about (3.0 mi) and a time of 20 minutes to come to a stop from top speed of 30 km/h.what is the magnitude of such ship's average acceleration in m/s squared in coming to a stop?
B. What is the magnitude of the ship's average velocity in m/s

Click here to see answer by ikleyn(52781) About Me 
Question 1181618: Modern oil tankers weigh more than a 1/2 million tons and have lengths up to one - fourth mile. Such massive ships require a distance of 5.0 km about (3.0 mi) and a time of 20 minutes to come to a stop from top speed of 30 km/h.what is the magnitude of such ship's average acceleration in m/s squared in coming to a stop?
B. What is the magnitude of the ship's average velocity in m/s

Click here to see answer by CPhill(1959) About Me 

Question 1181762: Modern Oil tankers weigh more than a half - million tons and have a length of up to one fourth - mile. Such massive ships require a distance of 5.0 km ( about 3.0 mi ) And a time of 20 minutes to come to a stop from top speed of 30 km/h
A. What is the magnitude of such a ship's average acceleration in m/s²
and coming to a stop ?
B. What is the magnitude of the ship's average velocity in m/s ?

Click here to see answer by CPhill(1959) About Me 

Question 1181806: A motorist goes for a drive, keeping the reading on the speedometer at a constant value of 40 km h−1. The speedometer is assumed to be accurate to ± 2 km h−1. At the end of the day he wants to know how far he has travelled, but unfortunately, he forgot to look at the distance indicator when he set out. He thinks that he drove for four hours, give or take a quarter of an hour. Estimate how far he travelled and assign an error to your result.
Click here to see answer by CPhill(1959) About Me 

Question 1181807: The volume of the rectangular block in the figure is calculated from the following measurements of its dimensions: �10.00±0.10 cm, �5.00±0.06 cm and �4.00±0.04 cm. Calculate the error in the value of the volume of the block assuming: a) the errors are independent b) the errors are correlated such that they all push the estimate in the same direction.
Click here to see answer by CPhill(1959) About Me 

Question 1183038: A particle accelerates uniformly from rest at 0.15pi rad/s^2 from rest. The particle's initial position is at 45 degrees from the negative x-axis. If the particle moves a distance 15m along the arc of radius 2m for a time of 1.15 seconds, determine (a) position of the particle after 1.15 seconds from the +x-axis, (b) the initial and final angular velocity, (c) the tangential velocity and acceleration of the particle at 2 seconds.
Click here to see answer by CPhill(1959) About Me 

Question 1185336: Anne drove her car to Laguna from Manila. She was at kilometer 20 when she noted that it was 9:00 AM and his speedometer indicated 50 km/h. At 9:30 AM, she saw his speedometer at 90 km/h and he was at kilometer 55. What is her acceleration (a) in km/hr/min? (b) in m/sec?
Click here to see answer by CPhill(1959) About Me 

Question 1185380: Anne drove her car to Laguna from Manila. She was at 20 km when she noted that it was 9:00 AM and his speedometer indicated 50 km/h. At 9:30 AM, she saw his speedometer at 90 km/h and he was at 55 km. What is her acceleration (a) in km/hr/min? (b) in m/sec?
Click here to see answer by CPhill(1959) About Me 

Question 1185855: Two runners are running on circular tracks each of which has a circumference of
1320 feet. The tracks are 100 feet apart and the runners start opposite each
other and move at the same constant rate of 880 ft/min. How fast are the runners
separating when each has run 165 feet?

Click here to see answer by ikleyn(52781) About Me 
Question 1185855: Two runners are running on circular tracks each of which has a circumference of
1320 feet. The tracks are 100 feet apart and the runners start opposite each
other and move at the same constant rate of 880 ft/min. How fast are the runners
separating when each has run 165 feet?

Click here to see answer by Edwin McCravy(20055) About Me 

Question 1190090: Lara flies a helicopter over the well and drops a rope to measure her height above it. Exactly 125 m of rope is all she needs to touch the well; however, a steady wind is blowing the rope so it makes a straight line at an angle to the ground.
Meanwhile, back at the catapult, Harrison uses a rangefinder to determine that the helicopter is exactly 280 m away from the catapult, at an elevation of 15°.
Harrison radios Lara and confirms that the well, the helicopter and the catapult are all in the same vertical plane. Without making any further measurements, he now has enough information to set the distance for the catapult.
Harrison has one critical piece of information that you do not. Without it, you cannot determine the distance to the well with certainty. The information is not a measurement—Harrison will have no trouble determining it.

Click here to see answer by ikleyn(52781) About Me 
Question 1190090: Lara flies a helicopter over the well and drops a rope to measure her height above it. Exactly 125 m of rope is all she needs to touch the well; however, a steady wind is blowing the rope so it makes a straight line at an angle to the ground.
Meanwhile, back at the catapult, Harrison uses a rangefinder to determine that the helicopter is exactly 280 m away from the catapult, at an elevation of 15°.
Harrison radios Lara and confirms that the well, the helicopter and the catapult are all in the same vertical plane. Without making any further measurements, he now has enough information to set the distance for the catapult.
Harrison has one critical piece of information that you do not. Without it, you cannot determine the distance to the well with certainty. The information is not a measurement—Harrison will have no trouble determining it.

Click here to see answer by CPhill(1959) About Me 

Question 1192779: The sample space of a random experiment is {a, b, c, d, e, f}, and each outcome is equally likely. A random variable is defined as follows
Outcome a b c d e f
X 0 0 1.5 1.5 2 3
Determine the probability mass function of X.

Click here to see answer by ikleyn(52781) About Me 
Question 1192779: The sample space of a random experiment is {a, b, c, d, e, f}, and each outcome is equally likely. A random variable is defined as follows
Outcome a b c d e f
X 0 0 1.5 1.5 2 3
Determine the probability mass function of X.

Click here to see answer by CPhill(1959) About Me 

Question 1193574: One car leaves an intersection traveling north at 50 mph; another is driving west toward the intersection
at 40 mph. At one point, the north-bound car is three-tenths of a mile north of the intersection and the
west-bound car is four-tenths of a mile east of it. At this point, how fast is the distance between the
cars changing?

Click here to see answer by yurtman(42) About Me 

Question 1196088: You are in city A and need to drive to City B and then on to City C for business. You then need to drive back to city A.  You will rent a new car in each city. The distance from A to B is 250 miles, from B to C is 175 miles and from A to C is 320 miles. You must start at A and go the shortest route next to B then to C and then back to A The car rented in City A get 10 km per liter of fuel. The car rented in City B gets 18 km per liter and the car rented in city C 24 km per liter. Gas costs $ 4.25 US per gal. You drive From City A to City B at an average speed of 120 km per hr. You drive from City B to City C at an average speed of 100 km per hr. You drive from City C to City A at an average speed of 140 km per hr.  The exchange rate is   0.85 Euro per Dollar US. 

1) How far is the total distance in Kilometers? 


2) How much will you spend on gas in euros? 


3) How long will it take you to make the round trip not including any rest?  Driving time only in minutes.

4) Suppose that while you are in City B you find out that you do not need to go to city C and decide to keep your initial car and drive back to City A. How much will this trip cost for gas in euros? 

Click here to see answer by ElectricPavlov(122) About Me 

Question 1204892: A cat walks in a straight line, which we shall call the x-axis, with the positive direction to the right. As an observant physicist, you make measurements of this cat's motion and construct a graph of the feline's velocity as a function of time (Fig. E2.26). (link for the Fig. E2.26: https://i.postimg.cc/fRgY00DK/Figure-E2-26.png )
(a) Find the cat's velocity at t = 4.0s and at t = 7.0s.
(b) What is the cat's acceleration at t = 3.0s? At t = 6.0s? At t = 7.0s?
(c) What distance does the cat move during the first 4.5s? From t = 0 to t = 7.0s?
(d) Assuming that the cat started at the origin, sketch clear graphs of the cat's acceleration and position as functions of time.

Click here to see answer by textot(100) About Me 

Question 1204877: The acceleration of a bus is given by ax(t) = at, where a = 1.2m/s^3.
(a) If the bus's velocity at time t = 1.0s is 5.0 m/s, what is its velocity at time t = 20 s?
(b) If the bus's position at time t = 1.0 s is 6.0 m, what is its position at time t = 2.0 s?
(c) Sketch ay-t, vy-t and x-t graphs for the motion.
problem from Young and Freedman. University Physics with Modern Physics. Fifteenth Edition.

Click here to see answer by asinus(45) About Me 

Question 1204891: Consider the motion described by the vx-t graph of Fig. E2. 26. (see this link--> https://i.postimg.cc/SsGt7snK/Fig-E2-26.png )
(a) Calculate the area under the graph between t=0 and t=6.0s.
(b) For the time interval t=0 to t=6.0s, what is the magnitude of the average velocity of the cat?
(c) Use constant-acceleration equations to calculate the distance the cat travels in this time interval. How does your result compare to the area you calculated in part (a)?
problem from Young and Freedman. University Physics with Modern Physics Fifteenth Edition.

Click here to see answer by ElectricPavlov(122) About Me 

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