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Rosalee Bergstrom
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What is 7x plus 13 equals 2x plus 3?
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.
How many milliliters of a 50 percent acid solution and how many milliliters of a 20 percent acid solution must be mixed to produce 36 mL of a 30 percent acid solution?
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
How do you factor 6x3 27x2 -105x?
3x(2x - 5)(x + 7)
What is the lcd of x 7 5 AND 15?
The LCD of x, 5, 7, 15 is 105x.
What is the LCM of 6x and 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 plus 32 equals 11x - 10?
5x + 32 = 11x - 105x - 11x = -10 - 32-6x = -42x = 7
What is the answer to 21x plus 452 equals 32-84x?
21x+452 = 32-84x 21x+84x = 32-452 105x = -420 x = -4
What is the height of a rectangular solid with the following dimensions length equals 7 feet width equals 5 feet and volume equals 105 cubic feet?
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.
What is 7x plus 13 equals 2x plus 3?
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.
How many earths makes the sun complete?
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
How many milliliters of a 50 percent acid solution and how many milliliters of a 20 percent acid solution must be mixed to produce 36 mL of a 30 percent acid solution?
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
What is the nth term of 104 93 82 71?
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, ...
