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.

To know more about variable visit:

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74.2 million children under the age of 18

Step-by-step explanation:

Answer:

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Answer:

110 degrees

Step-by-step explanation:

Ok so no matter what the shape is, the exterior angles always have to add up to 360 degrees. Then, you can make the equation:

140 + 110 + x = 360

250 + x = 360

x = 110 degrees

Here's another way you can do it:

To do this, you can start by noticing that the top angle would be 40 degrees, because there's a straight line with 140 degrees and that angle, so you can do 180 - 140 = 40 degrees.

Then, the angle towards the bottom right would be 70 degrees using the same strategy:

180 - 110 = 70 degrees

The interior angles of a triangle always have to add up to 180 degrees, so you can do 180 - 40 - 70 = 70 to find the third interior angle of the triangle.

The last step is to do 180 - 70 = 110 to find the measure of the exterior angle at that point.

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Answer:

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Step-by-step explanation:

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GOOD QUESTION BRO

pa help po need lang ipasa ngayon​

Answers

1.

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

2.

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

3.

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

4.

[tex] \frac{5}{12} \times \frac{3}{8} = \frac{15}{96} = \frac{5}{32} [/tex]

5.

[tex] \frac{12}{20} \times \frac{5}{6} = \frac{60}{120} = \frac{1}{2} [/tex]

6.

[tex] \frac{4}{5} \times \frac{8}{3} = \frac{32}{15} = 2 \frac{2}{15} [/tex]

7.

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8.

[tex] \frac{11}{2} \times \frac{18}{7} = \frac{198}{14} =14 \frac{1}{7} [/tex]

9.

[tex] \frac{14}{6} \times \frac{18}{5} = \frac{252}{30} = 8 \frac{2}{5} [/tex]

10.

[tex] \frac{4}{3} \times \frac{5}{2} = \frac{20}{6} = 3 \frac{1}{3} [/tex]

School
PLEASE HELP WITH THIS QUESTION: One week Tony bought 6 soft shell tacos and 2 hard shell tacos for $12. The next week he bought 3 soft shell tacos and 1 hard shells tacos for $6. Write a system to find the cost for each type of taco. Explain your answer.

Answers

The soft shell tacos cost a dollar and the hard shell cost three dollars so in algorithm 3x2 equals 6 plus 6x1 equals 12 combined. So the hard shell cost 3$’s while the soft shell cost 3$’s

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Answers

Answer:

d

Step-by-step explanation:

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11 divided among the 5
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Answer:

When ur going down it

Step-by-step explanation:

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Equal. 4 and 5/5 is just 4 + 1, which is 5. 20/4 is also 5.

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Step-by-step explanation:

orms of volunteering can be applied to the different roles that people take within ... volunteer motivations and looks to develop a typology of sports volunteers. ... diversity for their effectiveness as a policy tool and for government support. ... International Journal of Sport Policy and Politics 4, 2, 187–200 . ... text, however. For .

(8x +3) + (-6x +11)
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Answer:

2x^2+85x+13

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I did not knew what you wanted, but I think this is what you wanted.

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Answer:

4y=48

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Answers

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p(x+y)

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p(x+y)

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Answers

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Answer:

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Answers

Answer

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Step-by-step explanation:

Answer:

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Answers

Step-by-step explanation:

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change your name

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Answers

Answer:

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Step-by-step explanation:

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