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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Avenir Standard U-Lock and Cable Lock Duo $18.68 Combines the Avenir Standard U-Lock with a 10mm x 4-foot flexible coated steel cable. Lock your wheels to your bike frame! Two safety keys and a QR bracket are included…. |
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OnGuard Bulldog DT 5012 Bicycle U-Lock and Extra Security Cable $29.28 The On Guard BullDog U-Locks are constructed of 13mm hardened ultra steel shackle with reinforced sleeve over crossbar and cylinder for added security. Available in key or combo lock; keyed locks include 5 laser cut keys (1 lighted) and all tube quick-release mounting bracket4.6 Tons pull strength with anti-drill and pick resistance13mm hardened ultra steel shackle with reinforced sleeve over cros… |
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RAM Mount RAM-B132R Drink Cup Holder with U-Bolt Base $27.88 Drink Cup Mount Description:A favorite world wide, the RAM self leveling drink cup holder will bring a smile to anyone’s face when they get it. The perfect accessory for any vehicle including motorcycles, ATV’s, Big Rigs, and yes, even your prized riding lawn mower. Easily installed and positions to keep your favorite beverage within reach, this gem even comes with a RAM can insulator. Take a corn… |
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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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7/8 Handlebar Mount Water Bottle Beverage Drink Bottle Cup Holder Motorcycle ATV Trike Racing Dual Sport Dirt Bike Quad Cruiser Chopper $8.99 This Listing is for Brand new Bar Mount Cup holder.Package includes one piece of Cup holder.Measurement: approx. H 6 1/2″ x W 2 3/4″ (16.5cm x 7cm)Make of High quality billet aluminum.Fine polished silver tone surfaceSuper Light weight & Adjustable.Easy installation, custom installed via adjusting the boltsFits up to 1″ handle bar. Skillfully Mounting is recommended.Very convenient and inexpensive… |
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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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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. |


