Type A liquid containing 22.00% chlorine is mixed with type B liquid containing 11% chlorine to fill a 409 gallon container. The resulting liquid is to contain 15% chlorine.
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A: If we use ?a gallons of type A liquid and ?b gallons of type B liquid, write a system of two equations that determine the amounts of each that go into the mixture. Round your answers to two decimal places, if necessary.B: How much of each liquid type goes into the mixture? Round your answers to two decimal places, if necessary.
What will be an ideal response?
??
B: 148.73 gallons of type A liquid and 260.27 gallons of type B liquid
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Solve the compound inequality and graph the solution set on a number line. Except for the empty set, express the solution set in interval notation.-4x + 1 ? 9 or 3x + 3 ? -9
A. (-?, ?)
B. [-4, -2]
C. [-2,?)
D. [-4, ?)
Find the equation of the line that has the given properties. Write the equation in slope-intercept form, if possible. Contains (-5, -2); parallel to y = - x - 7
A. y = 4x + 18
B. y = 4x - 18
C. y = - x +
D. y = - x -
Determine whether the relation represents a function. If it is a function, state the domain and range.{(19, -3), (3, -2), (3, 0), (7, 2), (19, 4)}
A. function domain: {-3, -2, 0, 2, 4} range: {19, 7, 3, 19} B. function domain: {19, 7, 3, 19} range: {-3, -2, 0, 2, 4} C. not a function
Refer to the equilateral triangle shown below and its six symmetries: ? r1 : reflection with axis l1 ? r2 : reflection with axis l2 ? r3 : reflection with axis l3 ? R1 : 120° clockwise rotation with rotocenter O ? R2 : 240° clockwise rotation with rotocenter O ? I : the identity symmetry
Which symmetry results when applying the symmetry r1 followed by R2 ?
A. R1 B. r1 C. R2 D. r2 E. r3