Darci placed two orders for flowers and bushes. The first order was for 24 flowers and 6 bushes. The total of the first order was $144. The second order was for 18 flowers and 3 bushes. The total of the second order was $90. Write a system of equations to represent this situation. Then solve the system of equations by substitution. Explain what the solution means.

Answers

Answer 1

Answer:

See below.

Step-by-step explanation:

Let f = cost of one flower, and let b = cost of one bush.

First order:

24f + 6b = 144

Second order:

18f + 3b = 90

We have a system of two equations in two unknowns.

24f + 6b = 144

18f + 3b = 90

The first equation is divisible by 6, so let's divide both sides of the first equation by 6. The second equation is divisible by 3, so let's divide both sides of the second equation by 3.

4f + b = 24

6f + b = 30

To solve by substitution, we solve the first equation for b.

b = 24 - 4f

Now we substitute b in the second equation with 24 - 4f.

6f + 24 - 4f = 30

2f + 24 = 30

2f = 6

f = 3

Now we substitute 3 for f in the equation above that is solved for b.

b = 24 - 4(3)

b = 24 - 12

b = 12

f = 3 means the price of one flower is $3.

b = 12 means the price of one bush is $12.


Related Questions

A super is having a sale on tomatoes, 4 tomatoes for $.98. How much would it cost to buy 10 tomatoes

Answers

Answer:

Step-by-step explanation:

We need to multiply 0.98 by 2 which is 1.96 now we need to divide 0.98 by two which is 0.49, so add those together and you have 2.45. Hope this helps :)

PLEASE HELP DUE AT MIDNIGHT!!!!
#3

Answers

Answer:

2787.6 (rounded to nearest tenth)

Step-by-step explanation:

The formula for the volume of a hemisphere is [tex]\frac{2}{3}[/tex] × [tex]\pi[/tex] × r³ where r is the radius of the hemisphere. You can apply the formula to answer the question.

Volume =  [tex]\frac{2}{3}[/tex] × [tex]\pi[/tex] × 11³

             = 887[tex]\frac{1}{3}[/tex][tex]\pi[/tex]

             = 2787.6 (rounded to nearest tenth)

Answer:

2878.6!!!!!

Step-by-step explanation:

the volume with the radius of 11 inches so it would be 2878.6n

what is 1.9 rounded up to the nearest tenth​

Answers

Answer:

0

Step-by-step explanation:

Answer:

1.9

Step-by-step explanation:

It stays the same. cause its Already rounded to the nearest tenth.

A company charges customers $5.25 for shipping An entire order. A customer was charged a total of $19.50 for the shipping and the items which equation will have a customer find the price P of the items

Answers

Answer:

the answer is 5.25p=19.50

Question Help
At 9.30 AM, Brianna started filling a 3.600 gallon pond. At 11:30 AM, she had filled 1,800 gallons
At what time will the pond be full?

Answers

Answer:

1:30

Step-by-step explanation:

She filled half in 2 hours. Add two hours to get ful

Answer: 1:30

Step-by-step explanation: It took two hours to fill 1,800 gallons. 1,800 x 2 = 3,600.

It would take another two hours for the pond to be full. So, 11:30 time skip to two hours is 1:30.

Find the equation of the line. Use exact numbers y=, x,+5

Answers

I can't see pictures, so I'll do my best.

y= always stays the same.

To find the slope, or x, you have to start at the y-intercept, and find the number of units up, then right.

For example, y=4/3+6

4/3 is the slope because it goes up 4 units and right 3 units from the y-intercept.

6 is the y-intercept, which is the y-coordinate. It can also be graphed as (0,6).

---

hope it helps

Which situation can be modeled by the inequality 10+8h≥50?

A). You start with 10 songs and purchase albums of 8 songs each until you have a total of 50 songs.

B). You spend $10 plus $8 per week until you have less than $50

C). You start with $10 and spend $8 every week until you have spent at most $50.

D). You start with 10 erasers and get 8 more each week until you have at least 50 erasers.

Answers

Your answer will be D

30 = 6y

A)y= 5

B)y = 6

C)y = 180

D)y = 10

Answers

Answer:

A) y = 5

Step-by-step explanation:

30 / 6 = 5

y = 5

Hope this helps! Have a nice day! Plz mark as brainliest!!!

-XxDeathshotxX

It’s A because 6*5=30 and divided 30 by 6 it equals 5

Choose all of the conversions that are true for the capacity of the pitcher of orange juice.

Pitcher filled with 3.5 litres of orange juice.
A. 0.35 kL
B. 0.035 kL
C. 0.0035 kL
D. 3,500 mL
E. 350 mL

Answers

Answer:

C and D

Step-by-step explanation:

Kil represents one thousand, and milli represents one thousandth.

2. Sheila can frame in a room in 5 hours. David can do the same job in 4 hours.
Working together, how long would it take them to frame in a room?

Answers

Answer:

4.5 hours

Step-by-step explanation:

to find the average/middle (how long it would take them when working together) you add both numbers and divide by two

4+5=9

9÷2= 4.5

hope this helps chu <3

The time take by them to the job together is 5 hours.

What is time taken?

Time Taken = 1 / Rate of Work If a piece of work is done in x number of days, then the work done in one day = 1/x Total Wok Done = Number of Days × Efficiency.

Efficiency and Time are inversely proportional to each other.

Given that, Sheila can frame in a room in 5 hours. David can do the same job in 4 hours.

We need to find the time taken by them if they work together,

So, the total hours taken by Sheila = 5 hours

So, she will do the work in 1 hour = 1/5 parts

Similarly, for David also, he will do in 1 hour = 1/4

Now, when they are working together in hour = 1/4 + 1/5

= 4+5 / 45 = 9/45 = 1/5

Since, there work in 1 hour = 1/5 units

That mean, they will do the whole work in 5 hours.

Hence, the time take by them to the job together is 5 hours.

Learn more about time taken, click;

https://brainly.com/question/16963199

#SPJ2

find the area need help on plz

Answers

Step-by-step explanation:

since a hexagon is composed of six equilateral triangles, you can use the 30 cm as the side length.

you would use this formula :

Let x be your length given

A=((3√3)/2)x^2 = (3√3)/2)30 cm^2 = 2338.26859cm^2

A card is drawn at random from a standard deck. What is the probability that it is a black card and a king ?​

Answers

Answer: we know that the probability of drawing black card is 26/52. Probability of drawing a king is 4/52. when we draw a card from a pack of 52, the card could either be a black card or a king.

Step-by-step explanation:

Hope this helps you! Have a good day!

Btw Happy april fools day! :)

If angle DCA measures 40 degrees, what does angle ACB measure?

Answers

*see attachement for the diagram that is being referred to

Answer:

m<ACB = 50°

Step-by-step explanation:

From the diagram, <DCB is a right angle = 90°

Therefore:

m<DCA + m<ACB = 90° (complementary angles)

m<DCA = 40° (given)

Thus:

40° + m<ACB = 90° (Substitution)

m<ACB = 90° - 40° (Subtraction property of equality)

m<ACB = 50°

Please help. Explanation would help :)

Answers

Answer:

Step-by-step explanation:

    - 50 + (5 / 13)p         this says negative 50 plus 5/13 times p

if p = -26                      what does this epression evaluate to?

- 50 + (5 / 13) × p      p = -26      substitute the value of p into the expression

- 50 + (5 / 13) × (-26)      

- 50 + (5 (-26) / 13)                 I just rewrote the expression to make it clearer

                                               that the -26 in -26/1 and the  5 in 5 / 13    are

                                              both in the numerator over denominator 13

 - 50 + (5 (-26) / 13)              -26 / 13  evaluates to -2

 -50  + (5)(-2)    

 -50  + (-10)

 -50 - 10

 -60                

       

Tyler has 3 times as many books as Mai. How many books does Mai have if Tyler has 21 books?

Answers

Step-by-step explanation:

Say 21 divided by 3, which gives you 7

So mai has 7 books

Answer:

Mai has 7 books

Step-by-step explanation:

Tyler has 21 books and 3 times more than Mai

21/3 = 7

A cylinder has a radius of 5 inches and height of 20 inches.which is the surface area of the cylinder?
1. 1187 square inches
2. 517 square inches
3. 3077 square inches
4. 785 square inches

Answers

Answer:

4

Step-by-step explanation:

use the formula to get the answer but i got 785.71.

Help and I will give brainliest

Don’t answer part a and part b

Answers

What do u need help on
i don’t see anything??

Select the correct answer from each drop-down menu.
A park ranger recorded the number of deer living in a state park for several years and developed the function plo) = 80(1.2)' to model the total
number of deer in the park tyears after she began recording the data.
In the ranger's function, time is the
variable and the total number of deer in the park
please help !!

Answers

Answer:

its independent and changes by constant factor per year

In the ranger's function, time is the independent variable, and the total number of deer in the park is the dependent variable.

Given data:

A park ranger recorded the number of deer living in a state park for several years and developed the function p ( t ) = 80 ( 1.2 )^t to model the total number of deer in the park "t" years after she began recording the data.

The total number of deer in the park is represented by "p(t)," which is the output of the function. As the value of "t" increases, the function calculates the total number of deer in the park based on the initial value of 80 and the growth rate of 1.2.

Hence, the time is the independent variable and number of deer is the dependent variable.

To learn more about exponential form click :

https://brainly.com/question/29337692

#SPJ2

The complete question is attached below:

A park ranger recorded the number of deer living in a state park for several years and developed the function p ( t ) = 80 ( 1.2 )^t  to model the total number of deer in the park t years after she began recording the data. In the ranger's function, time is the variable and the total number of deer in the park.


1.1
LKR
(2)
1.2
R
(2)
1.3
N
[6]​

Answers

9514 1404 393

Answer:

  1.1 ∠LKR = 90°

  1.2 ∠R = 32°

  1.3 ∠N = 32°

Step-by-step explanation:

1.1 An inscribed angle is half the measure of the arc it subtends. Angle LKR is half the measure of the arc of semicircle LNR, so is 90°.

  ∠LKR = 90°

__

1.2 ΔLKR is a right triangle with angles L1 = 58°, ∠K = 90°, so ∠R is ...

  ∠R = 90° -58°

  ∠R = 32°

__

1.3 ∠N subtends the same arc LK that ∠R does, so it has the same measure.

  ∠R = ∠N = 32°

What is the measure of angle RTV?

Answers

Answer:

25 degrees

Step-by-step explanation:

70 degrees times 2 to get 140 for the outside arc on the left, then add 140 plus 90 plus 80 to get 310, then do 360-310 to get 50, then divide that by 2 to get angle RTV which is 25 degrees.

how many variables are in the following expression 3x+4y+z

Answers

Answer:

3

Step-by-step explanation:

Answer: 3

Step-by-step explanation:

X,Y,Z

A clothing store sells all of their jeans for one price and all of their t-shirts for another price. Marisol purchased 2 pairs of jeans and 6 t-shirts for $60. Ernestine purchased 4 pairs of jeans and 3 t-shirts for $75. What is the cost of one pair of jeans and one t-shirt?

Answers

Answer:

j = $15

t = $5

Step-by-step explanation:

This question can be solved using simultaneous equation

let the price of t-shirt be represented with t

let the price of jeans be represented with j

From the question, these two equations can be derived

2j + 6t = 60  eqn 1

4j + 3t = 75  eqn 2

multiply eqn 1 by 2

4j + 12t = 120  eqn 3

Subtract eqn 2 from 3

9t = 45

divide both sides by 5

t = 5

Substitute for t in eqn 1

2j + 6(5) = 60

2j = 30

j = 15

A bag contains 20 pink candies, 8 red candies, and 12
green candies. Without looking, Sarah pulls out a piece of
candy. Which color of candy is least likely to be pulled
out?

Answers

Answer:

red candies

Step-by-step explanation:

Statistically:

• 2/3 (20/30) times the candy will be pink

• 4/15 (8/30) times the candy will be red

• 2/5 (12/30) times the candy will be green

[tex] \frac{20}{30} > \frac{12}{30} > \frac{8}{30} [/tex]

Red candies will be least likely to be pulled.

Find x, y, and z in the figure.

Answers

Answer:

Since x + y + z = 180° and z = 90°, y + z = 90°

Thus x + y = z  

Step-by-step explanation:

How do you write 7.52 × 10 by the power of 4 in standard form?

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 75200

Explanation:

Because its 10^4 You just have to slide the decimal place over by 4 spaces! Leaving you with 75200

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

75200

Step-by-step explanation:

7.52 × 10^4

Calculate 10 to the power of 4.

7.52×10000

Multiply 7.52 and 10000.

75200

Therefore, your answer is 75200.

Lia brought 21 shirts and plants. Her total was $357. Pants cost $25 each, and shirts cost $14.50 each. How many of each item did she buy? Show your work
Will give points

Answers

Answer:

she brought 21 shirts and two pants

Step-by-step explanation:

shirt

21 × 14.50 = 304.50

357- 304.50 = 52.5

pants

52.5 ÷ 25 = 2.1

During a basketball game, Jeremy scored triple the number of points as Donovan. Kolby scored double the number of points as Donovan. If the three boys scored 36 points, how many points did each boy score?

Answers

Answer:

6.......................

Answer:

Jeremy scored 108 and kobly scored 72 and donvan scored 37

Step-by-step explanation:

Using factor theorem , show that (x -4) is a factor 2x3 + x2 -26x - 40 and hence factorize completely.

Answers

Step-by-step explanation:

if x-4 is a factor of 2x^3 + x^2- 26x - 40

then f(4) = 0

f(x) = 2x^3 + x^2- 26x - 40

f(4) = 2(4)^3 + (4)^2 - 26(4) - 40

f(4)= 2(64) + 16 - 104 - 40

f(4) = 128 + 16 - 104 - 40

f(4) = 0

hence factorize completely is the photo

Трикутна піраміда побудована з 10 однакових кульок так,
Як показано на малюнку 1. На кожній кульці написана
одна з букв A, B, C, D чи Е і кожна буква написана на двох
кульках. На малюнку 2 зображено вигляд цієї піраміди з
трьох різних боків. Яка буква на кульці зі знаком питання?

Answers

Answer:

Sorry I don't know this language

I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Here is the answer

Step-by-step explanation:

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