Juanita and Rafael are planting gardens in their yards. They bought supplies from the same store. Juanita spent $210 on 9 rose bushes and 12 carnations. Rafael spent $40 on 3 rose bushes and 1 carnation, Write a system to represent the situation and determine what method is most efficient to solve that system.

Answers

Answer 1

Let x be the cost of one rose bush and y be the cost of one carnation.

Then we have the system of equations:

x * 9 + y * 12 = 210

x * 3 + y * 1 = 40

To determine the method that is most efficient to solve this system, we can use the fact that one of the equations has already solved for one of the variables, y.

We can use substitution to solve for the other variable, x.

Substitute y = (40 - 3x) into the first equation:

x * 9 + (40 - 3x) * 12 = 210

Simplify:

x * 9 + 480 - 36x = 210

Solve for x:

9x - 36x = 210 - 480

-27x = -270

x = 10

Substitute x = 10 into the second equation:

10 * 3 + y = 40

Solve for y:

y = 10

Therefore, one rose bush costs $10 and one carnation costs $10.

The most efficient method to solve the system was substitution, since one of the equations already solved for one of the variables.

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Answer:

46 degrees for both b and c

Step-by-step explanation:

the vertical angles postulate means that the opposite angle must be the same, so 134*2=268

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Step-by-step explanation:

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[tex] \frac{3}{5} \times \frac{5}{6} = \frac{15}{30} = \frac{1}{2} [/tex]

[tex] \frac{3}{5} \times \frac{3}{15} = \frac{9}{75} = \frac{3}{25} [/tex]

[tex] \frac{5}{8} \times \frac{4}{10} = \frac{20}{80} = \frac{1}{4} [/tex]

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Answers

Answer

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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