Provide an appropriate response.Evaluate the following: 4(6) - 7 + 27 ÷ 3

Fill in the blank(s) with the appropriate word(s).


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Mathematics

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Factor.3x(6x + 5) - 2(6x + 5)

A. (18x - 2)(x + 5) B. (3x - 2)(6x + 5) C. (18x + 2)(x - 5) D. (3x + 2)(6x - 5)

Mathematics

Solve the problem.A chemist needs 12 liters of a 50% salt solution. All she has available is a 20% salt solution and a 70% salt solution. How much of each of the two solutions should she mix to obtain her desired solution?

A. 4.8 L of 20% ; 7.2 L of 70% B. 6 L of 20%; 6 L of 70% C. 3.6 L of 20%; 8.4 L of 70% D. 2.4 L of 20%; 9.6 L of 70%

Mathematics

Use a graphing utility to solve the system of equations. Round answers to two decimal places.

A. x = 4.56, y = -22.55, z = -6.06; (4.56, -22.55, -6.06) B. x =-22.55, y = 4.56, z = -6.06; (-22.55, 4.56, -6.06) C. x = -22.55, y = -6.06, z = 4.56; (-22.55, -6.06, 4.56) D. x = 4.56, y = -6.06, z = -22.55; (4.56, -6.06, -22.55)

Mathematics

Use an algebraic approach to solve the problem:Find a number such that one-half of the number is 4 less than two-thirds of the number. 

A. 12 B. 24 C. 20 D. 28 E. 16

Mathematics