Solve the problem by using two equations with two variables.A chemist needs 50 milliliters of a 48% solution but has only 42% and 57% solutions available. Find how many milliliters of each that should be mixed to get the desired solution.

A. 33 ml of 42%; 20 ml of 57%
B. 33 ml of 42%; 17 ml of 57%
C. 20 ml of 42%; 30 ml of 57%
D. 30 ml of 42%; 20 ml of 57%


Answer: D

Mathematics

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Find the particular solution to the given differential equation that satisfies the given conditions.5D2y + 3 Dy = 0; y = 0 when x = 0, and y= 3 when x = -  

A. y = -  + e3x/5 
B. y =  - e-3x/5 
C. y = -  + e
-3x/5
 
D. y =  - e3x/5 

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Factor.7x2 - 7x - 42

A. 7(x - 2)(x + 3) B. (7x + 14)(x - 3) C. 7(x + 2)(x - 3) D. 7x2 - 7x - 42

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Solve.The population of a suburb of Phoenix was 34.6 thousand in 2001. In addition, the population has been growing at a rate of 1.1% annually. Assuming that this growth rate continued, the model  represents the population (in thousands of people) in the year t.(a) According to the model what will be the population of this suburb in 2010?(b) According to the model, in what year will the population of the suburb be 50 thousand?

A. (a) 37.8 thousand (b) 2002 B. (a) 38.6 thousand (b) 2034 C. (a) 38.2 thousand (b) 2251 D. (a) 38.2 thousand (b) 2035

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Solve the problem. Assume that the minimum payment on a credit card is the greater of $27 or 3% of the unpaid balance.Find the minimum payment on an unpaid balance of $769.52.

A. $230.86 B. $27.00 C. $23.09 D. $28.09

Mathematics