Thats four questions, but okay :) 1.) 1 16/32 is just an hour and a half, and 1 2/8 is a hour and 15 minutes. that adds up to 2 hours and 3/4 or 2 hours and 45 minutes. 6-2 3/4 =3 1/4 hours, or 3 hours 15 minutes. 2.) convert the 1/3 and 2/5 into 10/30 and 12/30 so they have the same denominator, add them. that equals 22/30. now convert the 9/10 into 27/30 for easy subtraction. 27/30 minus 22/30 is 5/30, simplify that and it is 1/6. so betty needs a 1/6 of a gallon more. 3.) 32 6/12 is just 32 and 1/2. and thats 1/5 of his stuff. so take 32.5 and multiply it by 5, which equals 162.5 minutes. that is 2 hours 42 minutes, and 30 seconds. 4.) take 6 3/8 and multipy that by three for one week. that is 19.125. now multipy that by three since there are three weeks. that equals 57.375 which as a fraction is 57 3/8. so he would run 57 and 3/8 miles in three weeks of training. sorry about my spelling, im ust trying to type fast so you can get this fast. :)
The triangles are simiar by AAA, so
Step-by-step explanation:
Hello there!
Use the formula for the volume of a sphere:
There is your answer!
:)
1 lb ≈ 0.454 kg
1 in ≈ 2.54 cm
I'm not sure I understand the "do not" part of this question. What does it mean to convert from cubic inches (volume) to inches (length), and from centimeter to cubic centimeters?
In any case, you have
(1 lb)/(32.375 in³) ≈ (1 lb)/(3.19 in)³
… ≈ (1 lb)/(3.19 in)³ × (0.454 kg)/(1 lb) × ((1 in)/(2.54 cm))³
… ≈ (0.454 kg)/(3.19 in)³ × ((1 in)/(2.54 cm))³
… ≈ (0.454 kg) × ((1 in)/((3.19 in) × (2.54 cm))³
… ≈ (0.454 kg) × (1/(8.10 cm))³
… ≈ (0.454 kg) × 1/(530.531 cm³)
… ≈ (0.454 kg)/(530.531 cm³)
… ≈ 0.000856 kg/cm³
