Five pumps are required to fill a tank in 1 1/2 hours. How many forms of the same type are used to fill the tank in half an hour?

Five pumps are required to fill a tank in one and half hours.Here the question is how many pumps requires to fill a tank in half an hour..Here we can make an equation like thatIn 1 and 1/2 hours, requires 5 pumps to fill the tank..Therefore in 1/2 an hour, how many pumps are requires to fill the tank?=(0.5 hour×5 pumps)÷(1.5 hours)=1.6666…. PumpsBut we know that the number of pumps should be whole..So we should take near by digit of 1.66It is 2 .So we have to take atleast 2 pumps to fill the tank in half an hour…I hope my answer convinces you..And if this answer need any type of edit please message me or comment…

How long does it take to fill a swimming pool 9.5*21.0m whose average depth is 2.5m of water that flows from 1.9cm diameter hose at a speed of 1.5m/s?

You have to make sure everything is in the same units. Since we are talking about filling up a volume you have to first find the volume flow rate since all you have now is a one-dimensional velocity.Volume/Volume Flow Rate = Time to FillVolume:V = 9.5*21*2.5 = 498.75 m^3Volume Flow Rate:dV = Area_of_Hose * velocityArea of Hose Opening = pi*r^2 = 3.1459 * ((0.019m)/2)^2 = 0.000284 m^2Volume Flow Rate = A * velocity = 0.000284 m^2 * 1.5 m/s = 0.000426 m^3/sFinal Calculation:t = 498.75 m^3 / 0.000426m^3/s = 1171115 secondst =1171115 seconds * 1 hour/3600 seconds = ~ 325 hours

How many different ways can the numbers 1, 2, 4, 7 and 9 be used to form a five-digit number that is multiple of 11?

How many different ways can the numbers 1, 2, 4, 7 and 9 be used to form a five-digit number that is multiple of 11?In order for a number (ABCDE) to be a multiple of 11, the alternating sum-difference of the digits (A-B+C-D+E), or (A+C+E) – (B+D) must be a multiple of 11.If we want all five digits to be used, if we want A B C D E to be different digits, then the simplest method might be to look at every possible B+D combination, then subtract the remaining digits to see if that combination will work, then if that difference is a multiple of 11, figure out how many numbers we can create with those B D and other digits.Let’s check the first few possible sets of B+D digits:?1?2? or ?2?1? → 1+2 = 3 → others = 20 → 20–3 = 17 → no?1?2? is not divisible by 11 because (?+?+?) – (1+2) = 17, which is not divisible by 11.?1?4? or ?4?1? → 1+4 = 5 → others = 18 → 18–5 = 13 → no?1?7? or ?7?1? → 1+7 = 8 → others = 15 → 15–8 = 7 → no?1?9? or ?9?1? → 1+9 = 10 → others = 13 → 13–10 = 3 → no?2?4? or ?4?2? → 2+4 = 6 → others = 17 → 17–6 = 11 → yesFinally, we found one pair, 2 and 4, that works for the 2nd and 4th digits.?2?4? is divisible by 11 because (?+?+?) – (2+4) = 11, which is divisible by 11.There are two ways that these digits can appear in the number? 2 ? 4 ? ← and → ? 4 ? 2 ?The other three digits; 1, 7 and 9; can appear in any permutation in the remaining three positions:1?7?9, 1?9?7, 7?1?9, 7?9?1, 9?1?7, 9?7?1So far, we have two different arrangements of numbers for B and D; and six different arrangements for A, C and E.2 × 6 = 12So far, we have found 12 different numbers that are divisible by 11. One of them is 12749. You should easily be able to list the other eleven.I’m going to let you check the rest of the possible pairs of ?B?D? digits:The other pairs of 2nd an 4th digits that you need to check are:2+4 = 62+7 = 92+9 = 114+7 = 114+9 = 137+9 = 16I’m also going to let you worry about whether you need to check when you use any five digits, including repetition.

I’m a grade 12 student filling out my SAT subject test form. I plan to study engineering, should I take math 1 or math 2? What’s the difference between them, and why?

To be honest scoring higher on Math II does look better especially if you’re going to Engineering. Math I covers basic topics that all highschools usually teach.Math II also covers topics that usually all highschools teach, however they are topics that not ALL students really get taught (precalc). Especially since SATs are taken around late soph to early senior year, even if you end up taking pre calculus during senior year, it won’t help as much.

Choose 5 digits from 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 without replacement to form a five digit number. How many different ways to form an odd number are there?

Assuming the odd number can start with a zero, making it a four-digit number:5 odd digits: 1,3,5,7,9Make one of these the last digit.The other digits:9 ways to choose the first8 ways to choose the second7 ways to choose the third6 ways to choose the fourthSo you have[math]5cdot9cdot8cdot7cdot6[/math]ways.

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