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How many liters of a 7 percent solution of salt should be added to a 19 percent solution in order to obtain 456 liters of a 15 percent solution?
This is an algebra problem. There will be 2 equations and 2 unknowns. Let x = amount of 7% solution, and y = amount of 19% solution. .07x + .19y = .15*456. x + y = 456; or x = 456-y which will substitute into the first equation. .07(456-y) +.19y = .15*456. 31.92-.07y+.19y = 68.4. .12y = 36.48. y = 304L (amount of 19% solution to add). x = 456-y. x = 456 - 304. x = 152L (amount of 7% solution to add).
What is 4.414 x 109 in standard form?
4.414*109 = 4,414,000,000
What two numbers multiply together to equal -15 and add together to equal -7?
x + y = -7xy = -15y = -x - 7x(-x - 7) = -15-x^2 - 7x = -15 multiplying both sides by -1x^2 + 7x = 15 complete the square;(x^2 + 7x + 49/4) = 15 + 49/4(x + 7/2)^2 = 109/4(x + 7/2) = (plus & minus)square root of 109/41. x = -7/2 + (square root of 109)/22. x = -7/2 - (square root of 109)/2y = -x - 7y = -[-7/2 + (square root of 109)/2] - 7 = 7/2 - (square root of 109)/2 - 71. y = -7/2 - (square root of 109)/2 ory = -x - 7y = -[-7/2 - (square root of 109)/2] - 7 = 7/2 + (square root of 109)/2 - 72. y = -7/2 + (square root of 109)/2 Check it:
What is the annual interest rate if 1600 is invested for 6 years and 456 in interest is earned?
Use the formula I = P x R x TWhere I=interestP=principal investmentR=interest rateT=time in yearsIn this case, we want to know R, so re-arrange the formula to get:R = I / (P x T)=456/ (1600x6)=456/9600=0.0475=4.75%
What are the basic rules of exponents?
In order to add or subtract numbers with exponents, the exponents must be the same. In order to multiply numbers with exponents, you complete the multiplication and add the exponents. In order to divide numbers with exponents, you complete the division, and subtract the bottom exponent from the top exponent. Examples: Addition: 4.6 x 107 + 2.5 x 109 = 0.046 x 109 + 2.5 x 109 = 2.546 x 109 Subtraction: 6.7 x 108 - 2.1 x 105 = 6.7 x 108 - 0.0021 x 108 = 6.66979 x 108 Multiplication: 5.3 x 102 x 8.4 x 106 = 44.52 x 102+6 = 44.52 x 108 = 4.452 x 109 Division: 6.2 x 1012/3.1 x 106 = 2.0 x 1012-6 = 2.0 x 106
What is 123 x 456?
Oh, dude, you're hitting me with the math questions now? Alright, let me just pull out my calculator... Just kidding! 123 times 456 equals 56,088. Boom, there you go! Math wizard right here.
what is 456 x 1000?
456 x 1000 = 456000
What is the prime factorization of 456?
The prime factors of 456 are 2 x 2 x 2 x 3 x 19
What are the factors of 456?
456 = 23 x 3 x 19
Which is greater 456 X 65 or 465 X 56?
456 x 65 = 29640 and 465 x 56 = 26040 so 456 x 65 is greater.
What is 456 doubled?
456 x 2 = 912
What is 456 as the product of prime factors?
456 = 2 x 2 x 2 x 3 x 19
What is 456 times 60?
456 x 60 = 27360
What is 345 times 456?
345 x 456 = 157320
What is 456 times 12?
456 x 12 is 5,472
What is 456 times 13?
456 x 13 = 5,928
What is 456 plus X?
456 plus what equals 1242.\
