Tutors Answer Your Questions about Human-and-algebraic-language (FREE)
Question 1104702: The angle of elevation from a point on the ground to the top of a pyramid is 3434degrees°4040' The angle of elevation from a point 134134 feet farther back to the top of the pyramid is 2323degrees°4040'. Find the height of the pyramid.
Click here to see answer by Boreal(15235)  |
Question 1108097: Ileana plans to rent a boat.The boat rental costs $60 per hour,and she will also have to pay for a water safety course that costs $10. Ileana wants to spend no more than $280 for the rental and the course.If the boat rental is available only for whole number of hours,what is the maximum number of hours for which Ileana can rent the boat?
Click here to see answer by ikleyn(52780)  |
Question 1109553: A cable network offers members a Basic plan for $7.287.28 per month. For $3.003.00 more per month, the cable network offers a Standard plan, which includes HD movies. During one week, 350350 new subscribers paid a total of $2968.002968.00 for their plans. How many Basic plans and how many Standard plans were purchased?
Click here to see answer by Theo(13342)  |
Question 1109606: In country A, about five times as many cars are manufactured per day than in country B. If the total number of these cars manufactured per day is 39,642, find the number manufactured in country B and the number manufactured in country A.
Click here to see answer by jorel1380(3719)  |
Question 1111502: Hooke's Law says that the force exerted by the spring in a spring scale varies directly with the distance that the spring is stretched. If a 39 pound mass suspended on a spring scale stretches the spring 8 inches, how far will a 50 pound mass stretch the spring?
Click here to see answer by ikleyn(52780)  |
Question 1111502: Hooke's Law says that the force exerted by the spring in a spring scale varies directly with the distance that the spring is stretched. If a 39 pound mass suspended on a spring scale stretches the spring 8 inches, how far will a 50 pound mass stretch the spring?
Click here to see answer by amalm06(224)  |
Question 1111971: Megan's text messaging plan costs $14 for the first 350 messages and 25˘ for each additional text message. If she owes $72.50 for text messaging in the month of April, how many text messages did she send that month?
Click here to see answer by mananth(16946)  |
Question 965979: prove that the product of any three consecutive numbers is even.
So far I have tried , (n)(n+1)(n+2)=n^3+3n^2+2n
but there is no multiple of an even number. I'm not sure what kind of proof method it is but this would be a proof with the same method. i.e prove that the sum of three consecutive odd numbers is divisible by 3 , 2n+1+2n+3+2n+5= 6n+9 3(2n+3) is a multiple of three therefore it is divisible by three.
Any help would be appreciated, hope it is not too confusing
Thanks
Click here to see answer by amalm06(224)  |
Question 965979: prove that the product of any three consecutive numbers is even.
So far I have tried , (n)(n+1)(n+2)=n^3+3n^2+2n
but there is no multiple of an even number. I'm not sure what kind of proof method it is but this would be a proof with the same method. i.e prove that the sum of three consecutive odd numbers is divisible by 3 , 2n+1+2n+3+2n+5= 6n+9 3(2n+3) is a multiple of three therefore it is divisible by three.
Any help would be appreciated, hope it is not too confusing
Thanks
Click here to see answer by ikleyn(52780)  |
Question 1114402: A family has two cars. The first car has a fuel efficiency of 20 miles per gallon of gas and the second has a fuel efficiency of miles30 per gallon of gas. During one particular week, the two cars went a combined total of 1550 miles, for a total gas consumption of 60 gallons. How many gallons were consumed by each of the two cars that week?
Click here to see answer by josgarithmetic(39617) |
Question 1114773: An object is projected directly upward from the ground. After t seconds its distance in feet
above the ground is given by h(t) = -16t^2 + 160t.
a. How high is the projectile after 5 seconds?
b. At what time(s) is the projectile 110 feet from the ground?
Click here to see answer by MathLover1(20849)  |
Question 1115031: If a ball is thrown straight up from the top of a building that is 407 feet high, the position in feet
above the ground is given by the function s(t) = -16t^2 + 75t + 407 where t is the number of
seconds elapsed.
a. How high is the projectile after 3 seconds?
b. How long will it take for the ball to reach a height of 450 feet above the ground?
Click here to see answer by Alan3354(69443)  |
Question 1116202: A cell phone tower is 250 feet high. How long should a guy wire be if it is to be attached to the tower 15 feet from the top and to make an angle of 25° with the ground? Round your answer to the nearest foot.How far from the center of the base of the tower is the guy wire attached to the ground. Round your answer to the nearest foot.What a second guy wire was attached to the same 250 feet tall cell phone tower exactly halfway up the tower. If the guy wire is to be attached to the ground 300 feet from the center of the base of the tower what angle does the guy wire make with the ground? Round your answer to the nearest tenth degree.
Click here to see answer by ankor@dixie-net.com(22740)  |
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