Abattalion of 520 soldiers goes through 16,380 pounds of rations in 3 weeks. if 780 more soldiers join the battalion, how many tons (1 ton 2,000 pounds) of rations would the battalion now need to sustain its soldiers for 5 weeks?

They would need 34.125 tons of rations.

In order to find this, we first need to see how many pounds of rations a single soldier eats in a week. To do this, we take the total eaten in 3 weeks and divide by 3. Then we divide by the number of soldiers.

16,380/3 weeks= 5460 lbs per week

5460/520 soldiers = 10.5 lbs per soldier per week

Now we look to see how many soldiers we will have in total after adding. There are 520 to start and we add 780 to get 1300 total. Next we multiply that by the total per soldier per week.

10.5lbs per soldier per week * 1300 soldiers = 13,650lbs per week

Then we have to multiply by the 5 weeks that battalion will be there.

13,650lbs * 5 weeks = 68,250lbs of rations or 34.125 tons.

The amount of rations required is assumed to be proportional to both time and the number of soldiers.

The number of soldiers has increased from 520 to (520+780=) 1300. This is a factor of 1300/520 = 2.5 times the original number.

The length of time has increased from 3 weeks to 5 weeks, so is 5/3 the original length of time.

Then the amount of rations required will be (2.5)(5/3)(16,380 lb) = 68,250 lb. This number is 34.125 times 2000 lb.

34 1/8 tons of rations will be needed now to sustain the soldiers for 5 weeks.

the camry sales+accord sale=828,000. to make it so the two numbers are 18 thousand apart and still equal 828,000, you first need to find out what half of 828,000 is. 828,000/2=414,000. for the two numbers to equal 828,000, you have to add the same amount as you subtract from the middle. in this case, the number is 9,000 because it's half of 18,000. to equal 828,000, you have to add 9,000 to 414,000 for the camry and subtract 9,000 from 414,000 for the accord. 414,000+9,000=423,000.

414,000-9,000=405,000.

423,000+405,000=828,000.

423,000-405,000=18,

hope it

answer: on graphs, the open and closed circles, or vertical asymptotes drawn as dashed lines us identify discontinuities.

as before, graphs and tables allow us to estimate at best.

when working with formulas, getting zero in the denominator indicates a point of discontinuity.

when working with piecewise-defined functions, check for discontinuities at the transition points where one piece ends and the next begins.

step-by-step explanation: