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Tameka bought 50 cans of soda ( cola, grape, and orange) to serve at a party. She has 8 more colas than grape sodas, and 3 less orange sodas than grape sodas. How many of each type of soda did Tameka buy?
General
4 months ago
Justine swims freestyle at a pace of 150 laps per hour. Justine swims breaststroke 20 laps per hour slower than she swims butterfly. If Justine’s freestyle speed is three times faster than her butterfly speed, how fast does she swim breaststroke? Let b represent Justine’s butterfly speed in laps per hour and r represent Justine’s breaststroke speed in laps per hour.Use tape diagrams to solve the problem.
General
4 months ago
A scientist runs an experiment involving a culture of bacteria. She notices that the mass of the bacteria in the culture increases exponentially with the mass increasing by 246% per week. (a) What is the 1-week growth factor for the mass of the bacteria?(b) What is the 1-day growth factor for the mass of the bacteria?(c) By what percent does the mass of bacteria increase by each day?(d) If the mass of the bacteria instead increased by 433% per week, by what percent would the mass increase by each day?
General
4 months ago
An object of mass 20 kg is released from rest 4000 m above the ground and allowed to fall under the influence of gravity. Assuming the force due to air resistance is proportional to the velocity of the object with proportionality constant bequals50 N-sec/m, determine the equation of motion of the object. When will the object strike the ground? Assume that the acceleration due to gravity is 9.81 m divided by sec squared and let x(t) represent the distance the object has fallen in t seconds.
General
4 months ago
Let X equal the number of typos on a printed page with a mean of 4 typos per page.(a) What is the probability that a randomly selected page has at least one typo on it?(b) What is the probability that a randomly selected page has at most one typo on it?
General
4 months ago
Darnell completed 35 push-ups in one minute, which is 8 more than his previous personal best. Mia completed 6 more push-ups than Katie. If Mia completed the same amount of push-ups as Darnell completed during his previous personal best, how many push-ups did Katie complete? Let d represent the number of push-ups Darnell completed during his previous personal best and k represent the number of push-ups Katie completed.Use tape diagrams to solve the problem.
General
4 months ago
Find the dimensions of the closed rectangular box with maximum volume that can be inscribed in the unit sphere.
General
4 months ago
You have volunteered to be tested for psychic powers. There are 8 cards, 2 of which have a square on them, 2 of which have a triangle on them, 2 of which have a circle on them, and 2 of which have a star on them. The tester shuffles the cards, then looks at each card in turn, without letting you see it, and tries to send the picture psychically to you. You guess a picture randomly each time. Let X be the number of times you guess correctly. What is the probability that you will get 3 pictures right?
General
4 months ago
Class records at Rockwood College indicate that a student selected at random has probability 0.8 of passing French 101. For the student who passes French 101, the probability is 0.76 that he or she will pass French 102. What is the probability that a student selected at random will pass both French 101 and French 102?
General
4 months ago
A large industrial firm uses three local motels to provide overnight accommodations for its clients. From past experience it is known that 20% of the clients are assigned rooms at the Ramada Inn, 50% at the Sheraton, and 30% at the Lakeview Motor Lodge. If the plumbing is faulty in 5% of the rooms at the Ra- mada Inn, in 4% of the rooms at the Sheraton, and in 8% of the rooms at the Lakeview Motor Lodge, what is the probability that(a) a client will be assigned a room with faulty plumbing?(b) a person with a room having faulty plumbing was assigned accommodations at the Lakeview Motor Lodge?
General
4 months ago
Evaluate the following integral. Integral from nothing to nothing StartFraction 3 e Superscript x Over e Superscript 2 x Baseline plus 2 e Superscript x Baseline plus 1 EndFraction dx∫ 3ex e2x+2ex+1dx Integral from nothing to nothing StartFraction 3 e Superscript x Over e Superscript 2 x Baseline plus 2 e Superscript x Baseline plus 1 EndFraction dx∫ 3ex e2x+2ex+1dxequals
General
4 months ago
Select all the points that are on the line through (0,5) and (2,8) A.(5,11)B.(5,10)C.(6,14)D.(30,50)E.(40,60)
General
4 months ago
Carl has 3 1/2 cups of blueberries. He is storing them in containers that each hold 2/3 cup. How many containers can he fill? Find the answer and interpret the result
General
4 months ago
i need the numbers to the blank squares & the other questions! answer asap! it’s due tmr!!
General
4 months ago
Blake and James are planning to go on a trip. Blake already has some money saved. She earns $96 more by working overtime. James has $53 more than 4 times the amount of money that Blake has saved.If they have $2,318 in all, how much money had Blake originally saved? A. $433.80 B. $472.20 C. $493.40 D. $455.00
General
4 months ago
5x + 3y = 14x - 2y =14
General
4 months ago
What is the solution to the problems y=16x+150 and y=12x+300
General
4 months ago
A company has a policy of retiring company cars; this policy looks at number of miles driven, purpose of trips, style of car and other features. The distribution of the number of months in service for the fleet of cars is bell-shaped and has a mean of 65 months and a standard deviation of 6 months. Using the empirical rule (as presented in the book), what is the approximate percentage of cars that remain in service between 71 and 83 months?
General
4 months ago
Assume that the duration of human pregnancies can be described by a Normal model with mean 266 days and standard deviation 16 days.What percentage of pregnancies should last between 270 and 280 days?
General
4 months ago
Jason has 14 raspberry scones and 35 blackberry scones. He wants to make as many identical bags of scones as possible. Each bag should have an equal number of raspberry scones and an equal number of blackberry scones. What is the greatest number of bags Jason can fill? Explain how you know.
General
4 months ago
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