Find the solution by graphing the system of equations.Juanita is having her yard landscaped. She obtained an estimate from two landscaping companies. Company A gave an estimate of $220 for materials and equipment rental plus $55 per hour for labor. Company B gave and estimate of $310 for materials and equipment rental plus $40 per hour for labor. We can represent this situation with the system of linear equations c = 220 + 55h c = 310 + 40hwhere c is the total cost and h is the number of hours of labor. Find the number of hours of labor for the two companies to have the same total cost.

A. 9 hr
B. 6 hr
C. 5 hr
D. 10 hr


Answer: B

Mathematics

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Decide whether the statement is an example of the commutative, associative, identity, inverse, or distributive property.5 ? 4 = 4 ? 5

A. Associative B. Distributive C. Identity D. Commutative

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Divide.

A. x3 - 18 B. x2 + 4 C. x - 18  D. x + 4 

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Multiply.-1000 × (-622.492794)

A. -6,224,927.94 B. -6224.92794 C. 622,492.794 D. 62,249.2794

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Translate the sentence into a mathematical equation. Be sure to identify the meaning of all symbols.The force of gravity between two objects is the gravitational constant times the product of their masses divided by the square of the distance between them.

A. If F is the force of gravity, G the gravitational constant, m1 the mass of one object, m2 the mass of the second, and d the distance between them, then 
B. If F is the force of gravity, G the gravitational constant, m1 the mass of one object, m2 the mass of the second, and d the distance between them, then 
C. If F is the force of gravity, G the gravitational constant, m1 the mass of one object, m2 the mass of the second, and d the distance between them, then 
D. If F is the force of gravity, G the gravitational constant, m1 the mass of one object, m2 the mass of the second, and d the distance between them, then 

Mathematics