5.1(p+6) - 3.8p = 4.9(p+3) + 34.62 Methods to solve this problem?
81838
if your teacher told you to multiply both sides by 100 to avoid decimals, just do it: it's not absoluely necessary but it's a correct step.\n\nIn fact in any equation it is always possible to multiply the two sides by the same non-zero number to obtain another equation equivalent to the first (in this case equivalent means "which has the same solutions")\n\nSo let's multiply by 100 each term on both sides:\n510(p+6) - 380p = 490(p+3) + 3462\n\nNow this is a standard linear equation: you must first of all use the distributive property of multiplication to solve the parenthesys:\n510p + 510*6 - 380p = 490p + 490*3 + 3462\n \nNext, calculate:\n510p + 3060 - 380p = 490p + 1470 + 3462\n\nNow, all p-terms on the left, and all pure numbers on the right (change signs if you bring a term from one side to the other)\n510p - 380p - 490p = 1470 + 3462 - 3060\n\ndo the algebric sums:\n- 360p = 1872\n\ndivide both sides by the coefficient of p (pay attention to the sign):\np= - 1872/360 = - 5.2\n\n----
854222
Those are the right numbers. As you suspected they have too many decimal places, however. To have them correct to 6 decimal places, look at the 7th decimal place. If this is 5 or more, round the 6th decimal up one, otherwise leave it the same and just drop all the numbers after it.\n\nSo for a) the answer would be 1.499975 and for b) it would be 1.499997.
261181
assuming that 2x+5=0, then I deny that solution. The Pair(3,-5) workes for 6y-8=-54 only.
137569
(3/4P_ + 1/4pp) x (3/4S_ + 1/4ss)---maybe
937047
Well, there may be more solutions here than usual, but the first solution I see is:\n(3 L,5 L,8 L)\n(0/3,0/5,8/8)\n(0/3,5/5,3/8)\n(3/3,2/5,3/8)\n(0/3,2/5,6/8)\n(2/3,0/5,6/8)\n(2/3,5/5,1/8)\n(3/3,4/5,1/8)\n(0/3,4/5,4/8)
820359
3p + 7 = 9 + 8p\n\n3p + 7 - 3p = 9 + 8p - 3p\n\n7 = 9 + 5p\n\n7 - 9 = 9 + 5p - 9\n\n- 2 = 5p\n\n- 2/ 5 = 5p/5\n\n- 2/5 = p\n\nThe answer is p = - 2/5\n\nInsert the p value into the equation\n\n- - - - - - - - - - - - - - - - - - - - - - -\n\nCheck\n\n3p + 7 = 9 + 8p\n\n3(- 2/5) + 7 = 9 + 8(- 2/5)\n\n- 6/5 + 7 = 9 + (- 16/5)\n\n- 1.2 + 7 = 9 + (- 3.2)\n\n5.8 = 9 - 3.2\n\n5.8 = 5.8\n\n- - - - - - -s-
244823
The amount (A) will be doubling, so substitute "2P" in for A. Then you can drop the "P" from each side by division and solve for t.\n\nA = Pe^(rt)\n2P = Pe^(rt)\n2 = e^(rt)\nln 2 = (rt) ln e\nln 2 = .054t (ln e = 1)\n(ln 2)/.054 = t\n(approx.) 12.836 = t\n\nDoes that sound correct? (It's been awhile since I've done these kinds of problems.)
903533
ignore the decimals when u originally do the problem, then however many deciams there are in both of the decimals you're multiplying is how many there will b in the answer. i.e. if you multiply 6.78x4.234 together the answer will have 5 numbers behidnthe dceimal point
1094108
Use a calculator and raise it to the 1/3 power.\nDon't try to do it by hand...
67769
Divide 8 into 3\n.375
747036
0.12 \nP(A or B) = P(A) + P(B) - P(A and B) = P(A) + P(B) - P(A)P(B|A) = 0.1 + 0.1 - 0.1(0.8)
905619
x=-3.5 if you want it in fraction it's 3and1/2 =P
623465
Several ways you can look at this.\n\nP(double) = P(11 or 22 or 33 or 44 or 55 or 66)\n= (1/6)(1/6) + (1/6)(1/6) + (1/6)(1/6) + (1/6)(1/6) + (1/6)(1/6) + (1/6)(1/6)\n= 1/6\n\nor make a table\n\n...1 2 3 4 5 6\n-------------------\n1|X__________\n2|__X________\n3|____X______\n4|______X____\n5|________X__\n6|__________X\n\nOut of all 36 possiblities, six lead to doubles, so 6/36 = 1/6.
958757
So lets start with the first one. Make a division problem with 9.0 on the outside and 0.9 on the inside. 9.0 does not go into 0 but does go into nine. Raise the decimal and the answer is ten. It's a bit difficult to explain but here's your answers and when you go in next time ask your teacher for help::\n1. 10 \n2. 8\n3. 4.7\n4. 3.2\nOkay theres a few for you and you should be able to figure out the rest. For the next part you take what x is equal to and divide it by 1.2. So for\n13. 40.8/1.2=34\nAnd do the same for the rest!!\nGood luck!
736214
The first one is 29.16.  Divide 21.60 into 100 then multiply by 35, you get 7.56 and add that to 21.60 giving you 29.16
900395
Plug in -9.3 to see if it works out:\n\n12.8 - (-9.3) = 12.8 + 9.3 = 22.1 ≠ 3.5\n\nSo q = -9.3 is NOT a solution.
891913
15 - 3.5 = 11.5\n\n11.5 - 3.5 = 8.0\n\n8 - 3.5 = 4.5\n\n4.5 - 3.5 = 1\n\nso, you get 4 pieces at 3.5 and 1 piece leftover at 1