1). Multiply (5400 inches) by (1 foot / 12 inch) then by (1 mile / 5280 foot).

(See explanation at the bottom)

= (5400 inch) x (1 foot / 12 inch) x (1 mile / 5280 foot)

= (5400 x 1 x 1 / 12 x 5280) (inch - foot - mile / inch - foot)

= 0.0852 mile

2). Multiply (16 week) by (7 day/week) then by (24 hour/day)
then by (60 minute/hour) then by (60 sec/minute).

3). Multiply (54 yards) by (3 foot/yard) then by (1 meter/3.28 foot)
and then by (1000 mm/meter)

4). Multiply (36 cm/second) by (3600 second/hour) then by (1 meter/100 cm)
then by (1 mile/1609.3 meter).

5). Look up how many grams in a pound ('P')
Look up how many mL in a gallon ('G')

Multiply (1.09 g/mL) by ( 1 pound/ P gram) then by (1 gallon/ G mL)

6). Multiply (32 foot/sec) by (1 meter / 3.28 foot) then by (60 sec/minute).

Each time I told you to multiply by something, it was always a fraction
where the numerator and denominator are equal, like (60 seconds/minute)
or (1 foot / 12 inch). Since the top and bottom of the fraction are equal, the
value of the fraction is ' 1 ' , and multiplying by it doesn't change the value,
it only changes the units ... that's what this whole exercise is about.
When you multiply, KEEP the units in the product, and then, after you multiply, you can 'cancel' units out of the top and bottom of the product.
Like if you have 'feet' on top and bottom, just cross them out. When you're done, if you did it correctly, the last unit you end up with will be the one you want.

4 0

3 years ago

A diagram of Eric pool as shown below. He plans to fill this pool to a depth of 4ft with a garden hose that flows at 80ft expone

Alex777 [14]

The Volume of a Cylinder = π • r² • height
radius = 13.5 feet
volume = PI * 13.5^2 * 4 feet (the problem states it is to be filled to a depth of 4 feet)
volume = PI * 182.25 * 4
volume = 2,290 cubic feet
The hose delivers 80 cubic feet per hour so it will take:
2,290 / 80 = 28.625 hours
**************************************************************************
The volume of the pool is:
volume = PI * 182.25 * 4.5
= 2,576.5 cubic feet

6 0

3 years ago