7x + 13 = 2x + 3 First, subtract 3 from both sides.7x + 13 - 3 = 2x + 3 - 3Simplify both sides.7x + 10 = 2xNow, subtract 2x from both sides.7x - 2x + 10 = 2x - 2xSimplify again.5x + 10 = 0Finally, subtract 10 from both sides, simplify, and divide both sides by 5.5x + 10 - 10 = 0 - 105x = -10x = -2So the answer is x = -2.
Answer:12mL of 50% solution and 24mL of 20% solution must be mixed to produce 36mL of a 30% acid solutionLet x = 50% acid solutiony = 20% acid solution Equations:x + y = 36mL ----equation (1)0.5x + 0.2y = 0.3 * 360.5x + 0.2y = 10.8multiplying by 105x + 2y = 108 ----equation (2)eliminating equations (1) and (2)-2(x + y = 36)-2-2x -2y = -725x +2y = 108=========3x = 36x=12substitute x=12 to equation (1)12 + y = 36y = 36 - 12y = 24thus 12mL of 50% solution and 24mL of 20% solution must be mixed to produce 36mL of a 30% acid solution
3x(2x - 5)(x + 7)
The LCD of x, 5, 7, 15 is 105x.
To find the LCM of two numbers, you first split them down into their prime factors: 6x = 2, 3 and x 105x = 3, 5, 7 and x The next step is to cross off any duplicates. In this case, both have a prime factor of 3 and both have a prime factor of x. That leaves us with 2, 3, 5, 7 and x Multiply these together and you get 210x. Thus the LCM of 6x and 105x is 210x.
5x + 32 = 11x - 105x - 11x = -10 - 32-6x = -42x = 7
21x+452 = 32-84x 21x+84x = 32-452 105x = -420 x = -4
The volume is found by multiply the length, width and height together. So our equation is:7 * 5 * x = 10535 * x = 105x = 105 / 35x = 3The height is 3 feet.
7x + 13 = 2x + 3 First, subtract 3 from both sides.7x + 13 - 3 = 2x + 3 - 3Simplify both sides.7x + 10 = 2xNow, subtract 2x from both sides.7x - 2x + 10 = 2x - 2xSimplify again.5x + 10 = 0Finally, subtract 10 from both sides, simplify, and divide both sides by 5.5x + 10 - 10 = 0 - 105x = -10x = -2So the answer is x = -2.
The formula for the volume of a sphere is 4/3Πr3.The sun's diameter is about 864,000, and its radius is thus 432,000.So its volume is (4/3) x 3.14 x 4.32 x 4.32 x 4.32 x 105x 105 x 105,which is equal to338 x 1015 or3.4 x 1017 This is in cubic miles, the earth is 2.59875256 x 10^11 miles cubed. Therefore the sun's volume divided by the earths volume gives you; 1,300,624 1.3 million earth's could fit inside the sun. (Solely based on volume) approx. 1 million earthsabu musa
Answer:12mL of 50% solution and 24mL of 20% solution must be mixed to produce 36mL of a 30% acid solutionLet x = 50% acid solutiony = 20% acid solution Equations:x + y = 36mL ----equation (1)0.5x + 0.2y = 0.3 * 360.5x + 0.2y = 10.8multiplying by 105x + 2y = 108 ----equation (2)eliminating equations (1) and (2)-2(x + y = 36)-2-2x -2y = -725x +2y = 108=========3x = 36x=12substitute x=12 to equation (1)12 + y = 36y = 36 - 12y = 24thus 12mL of 50% solution and 24mL of 20% solution must be mixed to produce 36mL of a 30% acid solution
The nth term is given by: t{n} = (-3x⁴ + 30x³ - 105x² + 106x + 388)/4 for n = 1, 2, 3, 4. Alternatively, your teacher may be expecting a much simpler (also valid) solution: Each term is obtained by subtracting 11 from the previous term: t{n+1} = t{n} - 11 Which means that t0 = t1 + 11 = 104 + 11 = 115 → t{n} = 115 - 11x for n = 1, 2, 3, 4 That formula is NOT valid for any other value of n The first formula gives t1 = 104, t2 = 93, t3 = 82, t4 = 71 and gives t5 = 42, continuing with -41, -232, -603, -1244, -2263,... The second formula gives t1 = 104, t2 = 93, t3 = 82, t4 = 71 (the same first 4 terms) but gives t5 = 60 and continues with 49, 38, 27, 16, 5, ...