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:

https://brainly.com/question/15078630

#SPJ11


Related Questions

1. The fare of 12 kg of luggage for a distance of 36km is 24 rupees
How much fare will be charged for a luggage of 18kg for a distance
of 12km?​

Answers

Answer:

16 rs maybe not sure sry if wrong

Factorise fully
px + py​

Answers

Answer:

p(x+y)

Step-by-step explanation:

p(x+y)

hope that helps^^

Can someone please help me with this question?

Answers

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.

3/8 (2x - 8 / 3x) = 21 solve for x
A -66
B -70
C -84
D -96

Answers

Answer:

d

Step-by-step explanation:

11 quarts of soil are used to completely fill 5 flower pots. If each pot holds the same amount of soil, how many quarts will each pot hold?

Answers

11 divided among the 5
2 and 1/5
Or 2.2

How many kids are there in the US

Answers

Answer:

74.2 million children under the age of 18

Step-by-step explanation:

Answer:

74•2 million kids are in the usa

pls solve~~~~~~~~~~~~~~~~~~~~~~~~​

Answers

Answer:

q3

Step-by-step explanation:

P°×q3

=1×q3

=q3

Is it true dat 2+2=5

Answers

Answer:

nah you tripping the answer is *22*.

Step-by-step explanation:

That's how I end up on harvard.

No it’s 4
Because
You have 2cars and you bought 2more it’s equal 4

8. I NEED HELP ASAP!! PLEASE PUT AND ANSWER AND STEP BY STEP EQUATION!! IF YOU DON'T KNOW THE ANSWER DON'T PUT ANYTHING!!

Write a rule for the linear function in the table.


A. f(x) = 1/2x +1


B. f(x) = –2x – 1



C. f(x) = x + 5



D. f(x) = 2x + 1

Answers

Answer:

I DON'T KNOW THE ANSWER

Step-by-step explanation:

SORRY

The slope of a line is -5 and its y-intercept is 8. Discuss how you will write the equation in the slope-intercept form

Answers

Step-by-step explanation:

slope-intercept form : y = mx + b

m = slope

b = y intercept

y = -5x +8

find the missing measure ​

Answers

42 is the answerss to it

NOTE: Angles not necessarily drawn to scale.
X = ____ degrees

Answers

Answer:

x =60°

Step-by-step explanation:

GOOD QUESTION BRO

Solve for angle b and c

Answers

46 degrees for both b and c

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

since all angles must be 360, subtract 268, which is 92

using the vertical angles again, b and c are the same, and the sum must be 92

92 divided by 2 is 46

Please find what the value of x and y is!!!

Answers

Answer:

x = 3; y = 2

Step-by-step explanation:

You would just set each side equal to its opposite so for x, it'll be like:

4x+6=7x-3

and for y:

4y-3=3y+1

I attached my work below as well to help you.

12. (8x+15) + 45 + (18x+15) + 45

Answers

2 ( 13x + 60 ) or 26x + 120 is the correct answer
Yea that what I got so he’s right

What is the slope of the line that passes through the points (-2, 2), and (-4,-2)?
o
02

Answers

Answer:

2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-2-2)/(-4-(-2))

m=-4/(-4+2)=-4/-2=2

Find the area of a square with sides of length 1/3 (fraction) yard.

Answers

Answer:

A. 1/3 sq yard

*sneezes cutely

Step-by-step explanation:

change your name

DO IT. DO IT NOW. Why arent you listenin-

Combine like terms

7k + 4(k + 4)

A.8k + 16

B.11k + 16

C.7k + 1k + 16

D.27k

Answers

Answer:

B. 11k + 16

Step-by-step explanation:

We have an expression and are asked to combine like terms.

To solve this, we need to first distribute 4(k + 4). Which is to multiply four by both k and 4.

(4(k) + 4(4))

4k + 16

7k + 4k + 16.

Since 7k and 4k are like terms since they end in the same variable, we can only add them.

7 + 4

11

11k + 16

Help with this please!

Answers

Answer:

47

Step-by-step explanation:

mean is found by dividing the sum of the terms by the number of terms:

(43+48+41+41+x)/5=44

173+x=220

x=220-172=47

The is answer is 47

1 Calcula de la medio aritmética, la mediana
y la moda. Se analizó el IVA que se oplico
en diversos países europeos, a la compra de
obras de arte. Los resultados obtenidos
fueron los siguientes:
PAIS
España 0,16
Holia 0,20
Belgica 0,06
Holanda 0.06
Alemania 0,07
Portugal 0,17
Luxemburgo 0,06
Finlandia 0,22.​

Answers

Answer:

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 .

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.

[tex] \frac{3}{8} \times \frac{16}{7} = \frac{6}{7} [/tex]

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]

can someone please help me find the value of y

Answers

Answer:

4y=48

y=48/4

y=12

therefore,the value of y is 12

6. Simplify the expression.
3n+5-12n-8+6p

Answers

Answer

-9n-3+6p

Step-by-step explanation:

Answer:

-9n - 3 + 6p

Step-by-step explanation:

You have to remember that you can add or subtract only LIKE terms. In other words, you can't add 3n + 5, so separate them.

In this equation: 3n + 5 - 12n - 8 + 6p,

1. 3n - 12n

2. 5 - 8

3. 6p

= -9n - 3 + 6p

PLEASE HELPPPPPPPP I BEGGGG YOU

Answers

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

(8x +3) + (-6x +11)
Cebirsel iladerin terim Soyisini
Sabit terimini bulalum​

Answers

Answer:

2x^2+85x+13

Step-by-step explanation:

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

Find the 11th term of the following sequence:-8, 24, -72,....

Answers

Answer:

125

Step-by-step explanation:

Its pretty simple

I need help quick I'll give brainliest!

Answers

Answer:

I'm pretty sure its a bridge, hopefully that's right <3

Step-by-step explanation:

Solve for x. −9x+2>18 AND 13x+15≤−4

Answers

Answer:

-16/9

Step-by-step explanation:

in real life when do you think it would br helpful to know to calculate slope​

Answers

Answer:

When ur going down it

Step-by-step explanation:

Personally, I don’t. My grandma has never had to calculate slope in her entire life outside of school.

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
Other Questions
Snow is falling at a rate of r(t)=2e-0.1t inches per hour, where t is the time in hours since the beginning of the snowfall. Which of the following expressions gives the amount of snow, in inches, that falls from time t = 0 to time t = 5 hours?2e-0.5 - 2Answer A: 2e -0.5 - 2A0.2 - 0.2e-0.5Answer B: 0.2 - 0.2e -0.5B4 - 4e-0.5Answer C: 4 - 4e -0.5C20 - 20e-0.5 What is majority minority districts? Fred borrowed $38,000 for 5 years at an APR of 4%a) find the monthly payment.b) What is the total payment?c) Find the Finance Charge Which statement is true for rows A, C, and E?r (^q)Or-(pvq)(q^r)-p(qvr)-p A bird species gains a new trait from a neutral mutation. After many generations, the trait becomes beneficial. What could have caused the change in the mutations effect? The original price of a toaster is $20.00. If Horace uses a coupon and the price is decreased 10%, what is the price Horace will pay? If you apply a force of 10 n to a box and push it 10 m in 10 s, how much power did you deliver?. in what year did the us last experience double digit inflation? 82310611121. C'est l'action de nettoyer quand on n'utilise pas de balai.2. On met sa tte dessus pour dormir.3. Quand votre chambre est en dsordre, il faut la...4. Utiliser un balai, c'est...5. On le fait au moins une fois par semaine quand il y a beaucoup d'ordures (garbage).6. Aprs la lessive, on l'utilise.7. C'est le contraire de sale.8. On l'utilise pour conserver (keep) longtemps la nourriture.9. On l'utilise pour faire du caf.10. C'est le contraire de mettre la table.11. Quand vous avez fait la vaisselle, il faut l'...12. Si vous n'aimez pas avoir de plis (folds) sur vos vtements, vous l'utilisez. Please help!! i included a picture as well not sure if it would help !Write the equation of a quadratic function given the transformations given below: Opens upwardsA = Horizontal shift right 5 Vertical shift down 2 What response did American citizens have to news reports about the Cuban rebellion? Why is it important for a nursing assistant to recognize myths about aging?Myths about aging can help nursing assistants determine what symptoms to ignore in patients.Myths about aging provide nursing assistants with insight into a patients religious beliefs.Myths offer powerful and instructive stories about providing care to older adult patients.Myths about aging can obscure symptoms of illness in patients that should be treated. If the length of a rectangle increases 2 times and the width decreses 3 times, then its area decreased by :a) 66.6%b) 66.(6)%c) 33.(3)%d) 33.3%e) 30% help pleaseee i cant get it right which statement about aerobic exercise is true Which trigonometric ratio is used to find the cosine of a right triangle? What is a infinitely many solution? How many children can you predict a family has if the amount spent on groceries per week is $169.47? write the six types of noun and example. Which number makes the equation true?