If 32 yd of knitted material is made from 6 lb of yarn, how many yards will be made from 55 lb? convert 67.5 cu ft to cubic yards. add 25 min (minutes), 30 min, 18 min, and 35 min. then convert the sum to hours and minutes. al drives from york toward benton at 45 mph, and ben drives from benton toward york at 55 mph. if york and benton are 210 miles apart, how long will it take them to meet? a package weighing 5.4 lb is to be shipped to europe. how many kilograms does this package weigh?

1.

6 lb or pounds of yarn makes = 32 yards

So, 55 lb of yarn will make = = 293.33 yards

Hence, 293.33 yards of knitted material is made from 55 lb of yarn.

2.

Convert 67.5 cu ft to cubic yards.

1 cu ft = 0.037 cu yards

67.5 cu ft = = 2.497 cubic yards

3.

minutes

Converting into hours we get

hours

4.

The total speed of both the boys is = 45 mph+55 mph= 100 mph

The distance will be shortened by 100 miles per hour.

The given distance is 210 miles.

Then the time when they meet should be:

time=distance/total velocity

=210m/100mph= 2.1 hours 

5.

Weight of the package in pounds = 5.4

1 pound = 0.453 kg

5.4 pounds = kg

Hence the weight of the package is 2.446 kg.

1 lb makes 32⁄6 yd (unit yardage).  

55 × 32⁄6 = 2931⁄3 yd

1 cu yd = 27 cu ft

67.5 cu ft = 67.5⁄27 = 2.5 cu yd

25 + 30 + 18 + 35 = 108 min  

108 ÷ 60 = 1 hr and 48 min

Time = Distance ÷ Rate

210 ÷ 100 = 2.1 hr, or 2 hr and 6 min

5.4 lb × 0.4536 = 2.45 kg

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4