Bicycle Water Bottle Mounts

hellpp me with these math problems!!?
1.) When Joes zips down the country roads on his bicycle, it takes him 40 minutes to go 8 miles. When he drives the car, Javier travels twice as far in two-fifthsthe time. What is Javier’s speed, in miles per hour, when he drives his car?
2.) Robert and Roberta each write an equation at random. Robert writes y= 3x+6. Roberta writes 6x+2y=8. For what value of x do the two equations each give the same value for y?
3.) A hiker can choose either of two water bottles to bring on a hike to Mount Baldy. Bottle A has a base with a radius that is twice that of Bottle B, but Bottle B is twice as tall as Bottle A. Which of the two water bottles has the greater volume, and by how much? Volume of a cylinder is pi times the radius squared times the height.
Please show me how you got the answer too!
Speed is distance divided by time. Joes (Jose? Joe?) goes 8 miles in 40 minutes. The problem specifically requests the final answer in miles per hour, so we must convert our time units to hours. We may do this with ratios:
1 hr / 60 min = x hr / 40 min, giving a time of 2/3 hour.
Javier travels twice as far, i.e., 2 * 8 miles or 16 miles, in two-fifths the time, i.e., 2/5 * 2/3 hours, or 4/15 hours. We may now find Javier’s speed by dividing his distance by his time: 16 ÷ 4/15 = 16/1 * 15/4, which is 60 miles per hour.
2. Robert’s equation is y = 3x + 6. Roberta’s equation, when solved for y, becomes y = -3x + 4. Because the two expressions on the right equal the same thing, they must equal each other. This gives an equation of
3x + 6 = -3x + 4, from which you may solve for x.
3. Let us let ra be the radius of bottle a and rb be the radius of bottle b, Va the volume of bottle a, Vb the volume of bottle b, ha the height of bottle a, and hb the height of bottle b.
We know:
Va = π*ra²*ha
Vb = π*rb²*hb
ra = 2*rb
hb = 2*ha
If we take the ratios of the volumes of the two bottles, we get
Vb / Va = (rb²*hb) / (ra²*ha)
= [(1/2*ra)²*2*ha] / (ra²*ha)
= (1/4*ra² *2*ha) / (ra²*ha)
= 1/2 * (ra²*ha) / (ra²*ha)
= 1/2
Therefore, bottle B is only half the volume of bottle A, or conversely, bottle A holds twice as much as bottle B.
Custom iPhone 4 Bike Mount
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Portland Design Works Bar-Ista Coffee Cup Holder $17.00 BAR-ISTA COFFEE CUP HOLDER… |
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Park Tool Wall Mount Bottle Opener $16.26 Park Beverage EssentialsCleverly disguised as a water bottle cage, the BO-5 attaches to any wall, workbench or cabinet and includes a handy water bottle style cap catcher… |
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Bicycle Wheather Resistant Smart Phone Handle Bar Mount Bag for IPhone, BlackBerry, and HTC( with Mini Handebar Mount) $22.99 A great way to keep your iPhone* handy for communication or to use as a GPS during longer rides. This iPhone specific pack features a foam body for protection and a clear touch window for viewing phone display. Water resistant and shock protective construction…. |
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Xlab Torpedo Mount $49.95 Xlab’s carbon-plate Torpedo mount offers front-and-center hydration accessability in a lightweight (36g), simple-to-use package…. |
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iHome iH85 Bike-to-Beach Speaker System for iPod (Black) $99.99 iHome Bike Speaker System lets you listen to your docking iPod at home or while biking. Features: Listen to your iPod at home or while bikingWorks with docking iPod modelsReson8 technology with passive speakers for full, rich soundIncludes handlebar-mounted wireless remote that allows user to change songs and volumeComes with mounting bracket and all hardwareTough water- and impact-resistant caseU… |
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Allen Company Pagosa Day Pack (1600 Cubic Inch Capacity, Realtree Ap) $29.02 1600 cubic inch capacity. No rattle zippers. Contoured shoulder straps. Mesh flat front pocket. 19″X13″X6″ main compartment……. |
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Delta Airzound Bike Horn $23.95 115 decibel horn with volume control switch. Mounts to most handlebars. No batteries needed. Air reservoir is easily refilled with any bike pump. Extension allows for more versatility when mounting…. |
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Schwinn Bicycle Seat Post Rack $19.02 Featuring the Schwinn brand Americans have trusted for over one hundred years this seat post rack utilizes the frame of the bicycle as a mount by which to store goods and transport for a bicyclist. Rather than relying on a basket or bag, a flat surface is offered to allow for larger bulky items or objects of unusual size to be strapped down and carried along behind and off the rider – where inte… |
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Ventura Plastic Water Bottle Cage $16.95 The Ventura Plastic Water Bottle Cage helps keep your water bottle close at hand while riding. This 22 gram bicycle water bottle cage is constructed of durable plastic and attaches with clamps or screws. It can be used with any standard biking water bottle. |
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Reduce Reuse Bicycle Health Sigg Water Bottle 0.6L by CafePress $24 Carry this reusable Sigg water bottle on your bicycle Health Sigg Water Bottle 0.6L Help save the planet while you rehydrate in style with an eye-catching water bottle from SIGG. Made from a single piece of aluminum, it’s ultra-lightweight yet rugged and crack-resistant. To minimize unwanted tastes and scents, the inside is lined with a |
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M-Wave 700 ml Plastic Water Bottle $16.95 The M-Wave 700 ml Plastic Water Bottle is constructed of high quality plastic. This bicycle water bottle is black with a red straw. The M-Wave water bottle is perfect for everyday use or slipping into your bike’s water bottle cage. |
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M-Wave Alloy Water Bottle Cage $16.95 The M-Wave Alloy Water Bottle Cage helps keep your water bottle close at hand while riding. This 54 gram bicycle water bottle cage is constructed of durable aluminum alloy and includes rubber grip knobs to secure your water bottle while riding. The Alloy Water Bottle Cage can be used with any standard biking water bottle. It is available in black or silver. |
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M-Wave Pro Alloy Water Bottle Cage $19.95 The M-Wave Pro Alloy Water Bottle Cage is designed to get a better grip on your water bottle for a more secure hold. This bicycle water bottle cage is constructed of durable aluminum alloy and features rubber knobs. This 54 gram bike cage easily bolts onto your bicycle frame and is available in black or silver. |
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Mighty 500 ml Insulated Plastic Water Bottle $20.95 The Mighty 500 ml Insulated Plastic Water Bottle keeps your beverage hot or cold much longer than regular water bottles! This bike water bottle is constructed of high quality plastic. It includes a clear plastic protection cap. The Mighty silver bicycle water bottle is perfect for everyday use or slipping into your bike’s water bottle cage. |
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Mighty Full Carbon Water Bottle Cage $52.95 The Mighty Full Carbon Water Bottle Cage weighs only 24 grams, so it won’t slow you down when your racing or riding your road cycle. The bicycle cage is fully constructed of carbon and bolts onto your bike’s frame. |
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Bicycle Art Sports Sigg Water Bottle 1.0L by CafePress $28 Linked bicycles result in a cool sketch like art form. Perfect gift for cycling and biking, outdoors sports lovers. See the cycling design on apparel, t-shirts, cards and more. Sports Sigg Water Bottle 1.0L Help save the planet while you rehydrate in style with an eye-catching water bottle from SIGG. Made from a single piece of aluminum, it’s ultra-lightweight yet rugged and crack-resistant. To minimize unwanted tastes and scents, the inside is lined with a |
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Triton Aluminum Bike Water Bottle Holder $6.49 Stay hydrated during your ride by attaching this aluminum water bottle holder to your bicycle. This convenient and easy-to-use water bottle holder works with standard sized water bottles and will make your cycling experience that much more refreshing. Works perfectly with Triton brand and many other bicycles. |
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Mighty 700 ml Non-Slip Plastic Water Bottle $18.95 The Mighty 700 ml Non-Slip Plastic Water Bottle is constructed of high quality plastic. This bicycle water bottle features a black non-slip inlay for improved grip. It also includes a clear plastic protection cap. The Mighty silver water bottle is perfect for everyday use or slipping into your bike’s water bottle cage. |


