Mathematics Middle School

At a local garden shop, the price of plants includes
sales tax. The cost of 4 large plants and 8 medium
plants is $40. The cost of S large plants and 2
medium plants is $28. If / is the cost of a large
plant and m is the cost of a medium plant, write a
system of equations that models this situation.
Could the cost of one large plant be $5.50 and the
cost of one medium plant be $2.25? Justify your
answer. Determine algebraically both the cost of a
large plant and the cost of a medium plant.

Answers

Answer 1

Answer:

4L + 8 m = $40 5L + 2m = $28

Step-by-step explanation:

L = cost of a large plant

m = cost of a medium plant 4L + 8 m = $40 5L + 2m = $28

Answer 2

Equation (1) and equation (2) represent the system of equations, the cost of the large plant is $4.5, and the cost of the medium plant is $2.75

What is a linear equation?

It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.

If in the linear equation one variable is present then the equation is known as the linear equation in one variable.

We have:

l is the cost of a large plant and m is the cost of a medium plant.

The cost of 4 large plants and 8 medium plants is $40.

For the above scenario, the linear expression can be written as in two variables:

4l + 8m = 40 ...(1)

The cost of 5 large plants and 2 medium plants is $28 for this scenario, the linear expression can be written as in two variables:

5l + 2m = 28 ...(2)

Multiplying the above equation with 4 on both sides

20l + 8m = 112 ...(3)

Subtracting equation (1) from equation (2), we get:

20l - 4l = 112 - 40

16l = 72

l = $4.5

Put this value in the equation (1), we get:

4(4.5) +8m = 40

18 +8m = 40

m = $2.75

Thus, the equation (1) and equation (2) represent the system of equations, the cost of the large plant is $4.5, and the cost of the medium plant is $2.

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Related Questions

A project will take a total of 720 person-days to complete. If the project must be completed in 30 days, how many people must be employed? PLEASE HURRY

Answers

Answer:

192 hours per day / 8 hours per person per day = 24 people

Step-by-step explanation:

Assuming each person works for 8 hours a day, the total number of hours needed to complete the project is:

720 person-days x 8 hours = 5,760 hours

To complete the project in 30 days, the total number of hours needed per day is:

5,760 hours / 30 days = 192 hours per day

It’s 24!! EXPLAIN-720/30=24 because you have to divide the amount of people by days p/d= e

One out of every 9 light bulbs is defective.
What constant of proportionality relates defective bulbs to total bulbs?

Answers

The answer is very simple you can simply put it as 0.1

The constant of proportionality that relates defective bulbs to total bulbs is 1 / 9.

What is Constant Proportionality?

The ratio connecting two given numbers in what is known as a proportional relationship is the constant of proportionality. Constant ratio, constant rate, unit rate, constant of variation, and even rate of change are other names for the constant of proportionality.

Given:

One out of every 9 light bulbs is defective.

Total bulbs = 9

So, Defective bulbs = 1

Thus, Constant of proportionality = Defective bulbs / Total bulbs.

Constant of proportionality = 1 / 9

Hence, the constant of proportionality that relates defective bulbs to total bulbs is 1 / 9.

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The multiplicative inverse of -⅚ is

Answers

Answer: -6/5

Step-by-step explanation:

Multiplicative inverse simply is another word for 'reciprocal'.

A reciprocal is the fraction upside down, or inverted.

Knowing this, let's convert -5/6.

-5/6 becomes -6/5, and you don't do anything about the negative sign.

Answer: -6/5

Step-by-step explanation:

u just get the reciprocal

WILL MARK BRAINLIEST IF CORRECT
Write 0.83 as a fraction. (0.83 is repeated, it wouldn't let me put the sign)
A) 1/5
B) 3/5
C) 5/11
D) 5/6

$WILL MARK BRAINLIEST IF CORRECTWrite 0.83 as a fraction. (0.83 is repeated, it wouldn't let me put the$

Answers

Answer:

5/6

Step-by-step explanation:

Its the only fraction that has 0.833333...

Answer:

5/6

Step-by-step explanation:

2,000,000 ÷ 152 x 12 - 10,000 = ?

Answers

Answer:

147894.736842

1568947.3684210526 is the answer

Help me please il give 20 points!

Answers

Answer: 1. a. 15 b. 11 c. 2 d. 7 e. 5.5

2. Stem: Leaf:

1 9

2 5, 9

3 3, 3, 8

4 0, 7, 9

5 4, 5

6 1, 5

7 2, 7

8 1

3. a. 13 inches b. I'm pretty sure that it is the second quarter because there is more snow. c. The first quarter because it's section is more spread out among the numbers.

Step-by-step explanation:

Answer: 1. a. 15 b. 11 c. 2 d.7 e. 5.5
2. Stem:
Leaf:
9
2
5, 9
3
3, 3, 8
4
0, 7, 9
5
4, 5
6
1,5
7
2, 7
8
1
3. a. 13 inches
b. I'm pretty sure that it is
the second quarter because there is more show.
c. The first quarter because it's
section is more spread out among the numbers.
Step-by-step explanation:

Jake has three different colored pens in his book bag: blue, green and purple. The probability of randomly choosing a blue pen from Jake’s book bag is 60%. The probability of randomly choosing a green pen from Jake’s book bag is 0.10. The probability of drawing a purple pen is 3/10. Determine how likely it is, in relation to 0, for Jake's to randomly choose a red pen from his book bag?

Answers

Answer:

the Pearson above me is right

Step-by-step explanation:

HELP PLEASE I REALLY NEED HELP

Answers

-3.121875

First step is take it out of fractions and into decimals, they are easier to work with.

(0.5x1.125)x(2.66x3.33)x7.5

Then PEMDAS

Parentheses
0.625x-0.66x7.5

Then multiply

-0.41625x7.5

Answer
-3.121875

Hi how has your day been

Carla rode her bicycle 4 miles to the park and it took her 50 minutes. What is her speed in miles per hour?

Answers

Answer:

12.5 miles per hr. hope this helps

12.5 miles per hour

Suppose that the volume of a right circular cylinder is 288 cubic meters and the area of its base is 16 square meters. What is the height of the cylinder?

A. 12 m
B. 16 m
C. 18 m
D. 14 m

Answers

Hello:

--> find the height of the cylinder

Let's find the equation for finding the volume of the cylinder:

$\text{Volume}=\pi r^2*h$

- -> now $\pi r^2$ is the area of the base, which is a circle that is 16

- -> the volume is 288

- -> let's plug in all the known values

$288=16*h\\\\h=\dfrac{288}{16} \\\\h=18$

Thus the height is 18 meters

Answer: 18 m

The answer is 18 I don’t have a fancy explanation but I wrote everything out on paper and I got 18 I hope this helped! (I’m sorry if this is the wrong answer)

The drama club has 14 members. They need to raise $952.00 to attend a play at the Fox Theater. They already have $126 in their account. What is the least amount of money each student needs to raise in order to go to the play?

A- m ≥ 59
B- m ≥ 60
C- m ≥ 64
D- m ≥ 68

Answers

Answer:

A- m is greater that or equal to 59

Step-by-step explanation:

So, they need to raise at least $(952-126)=826.

826/14=59. So each member has to raise at least $59.

952-126=826
826/14=59
The answer is A

The sum of a number and ten is eighteen. What is the number?

Which statements are true? Check all that apply.
The words “a number” are represented by the variable, n, as the unknown value.
The unknown number and 10 together make 18.
9 + 9 = 18
8 + 10 = 18
n = 8

Answers

Answer:

9 + 9 = 18, 8 + 10 = 18, n = 8 are all correct, but if you want the value of n its 8.

Step-by-step explanation:

8 + 10 = 18

Hope this helps! Please leave any questions or concerns in the comments byeee <3

The solution is, 9 + 9 = 18, 8 + 10 = 18, n = 8 are all correct,

but if you want the value of n its 8.

What is addition?

Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.

here, we have,

The sum of a number and ten is eighteen,

i.e. if the number is n , then,

we get,

sum of n & 10

i.e. n+ 10

ATQ, sum of a number and ten is eighteen

so, n+ 10 = 18

i.e. n = 8

so, we get,

n= 8

this gives ,

8 + 10 = 18

Hence, The solution is, 9 + 9 = 18, 8 + 10 = 18, n = 8 are all correct,

but if you want the value of n its 8.

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Hurry and this is my last one I promise !!!

Answers

50 is the answer..............

Answer:

it is 50

Step-by-step explanation:

done the math

I need help really bad please help!
.

Answers

I'm Just Guessing At The Possible Answers. Please post a picture of the drop-down answers...

1. Between 3 and 8

2. Well Distrubuted???

3. One Outlier (19.86)

Here are three different views of a three-dimensional figure constructed from cubes.

Which of the following could be the figure?

Answers

I think it is the top cube.

Answer:

Answer 8!!!!!!!!!!!!! hope this helped!

Step-by-step explanation:

ILL GIVE BRAINLY
PLEASEEEE
if download doesnt work dont comment

pre-algebra

Answers

Answer: Q1) <

Q2) >

Q3) >

Q4) <

Q5) √72 and √156

Q6) √62 - 6 and √62 -2

Q7) √45 - 12 and √45 - 8

Q8) √3 - 2 , 4/15 , 3/10 , 4/5 , √2

Q9) √68 - 8 , √29 - 4 , 5 - 8/6 , 3.9 , 2√5

Q10) 2.5 , 21/8 , 3√25 , π , √19

Good morning I love me I just got off work so late and I don’t think so I just don’t have time I don’t think so I’m sorry but it’s just not boring and then I don’t have a good friend and I’m so excited for the park to be friends and I’m so sorry I just got to my grandma to get the park to go to the park I just don’t want lion and then I’m gonna be playing with my friends I just got hurt so I don’t have a lot to say I don’t want to do anything with them 25668

Jin’s mother estimates there is a half gallon of fruit punch remaining in the container. There is actually 72 ounces of fruit punch in the container. What is the percent error of Jin’s mother’s estimate, rounded to the nearest tenth?

needed help

Answers

Step-by-step explanation:

6.28% because of the sealing

the percent error of Jinn's mother's estimate is 11.12%.

What is the percentage equivalent to 16 over 20?
PLS HELP ASAP

Answers

Answer: 80%

Step-by-step explanation: IM BAD AT MATH, I JUST LOOKED IT UP. PLEASE HELP ME I HAVE A QUESTION SAVED ON MY ACC. have a great day :D

Answer:

80%

Step-by-step explanation:

percent means per 100 you have to make the denominator 100 the numerator is the percentage

you have to find the decimal

inorder to find the decimal of a fraction you devide the denominator by the number

16 ÷ 20

16/20 is as a decimal is 0.8

after finding the decimal you multiply it by 100

0.8 × 100 = 80

I don't know how else to explain

Tyler poured 15 cups of water into 2 equal-sized bottles and filled each bottle. How much water was in each bottle?

i need to use a diagram

Answers

Answer:

7.5

Step-by-step explanation:

If there are 2 bottles and 15 cups then...

15 ÷ 2 = 7.5

He poured 7.5 cups of water in each bottle.

diagram?? maybe you could do this...

Tyler poured 15 cups of water into 2 equal-sized bottles and filled each bottle. How much water was in

2 bottles and 15 cups
15 divided by 2=7.5
He poured 7.5 cups of water in each bottle

Help!!!!!!!!!!!!!!!!!!!!

Answers

It would be B and C ?

It is letter b 4w+12-2

Find the greatest common factor of the terms in the following expression: 32rt – 12t.

4t
6t
8rt
12t

Answers

Answer: 4t

Step-by-step explanation:

4t × 8r = 32rt

4t × 3 = 12t

Answer:

Step-by-step explanation:

4t is the only answer that makes sense

Please help me! Will give brainlist

Answers

First, it consistently takes exactly 3 minutes to serve a customer. Secondly, it would take (at their average rate) 30 minutes to serve exactly 90 customers!

Hope this helps, if not, comment below please!!!

Express the following sums and summation notation.

pls help me, i need this for tomorrow

Answers

For question 6 the answer is 91 just add the numbers

91 is correct for number 6

A cylinder has a radius of 14 inches and a height of 10 inches. A rectangular prism has
square bases with side lengths of 8 inches. The two figures have the same surface
area. What is the approximate height of the rectangular prism?

Answers

Answer:

61.973

Step-by-step explanation:

let the unknow side be x

surf of prism = 2*(8*8+8x+8x) = 2*(64+16x) = 128+ 32x

again, surface of cylinder = 2pi*r*(r+h) = 2 * pi * 14 * (14+10) = 672pi

now solve for x, when

128+32x = 672pi

i need help with this question please help me

Answers

Answer:

The answer is D.

Step-by-step explanation:

y = mx + b

C = 5/9 (F - 32)

C = 5/9F - 5/9 (32)

Option (D) is correct.

1) Each lunch for a school field trip has a turkey, roast beef, or bologna sandwich, an orange or apple for a fruit, and a cookie or muffin for dessert. Amanda and Zack would like to…

-know the number of possible lunch options.

-P of having any meal with NO COOKIE.

(use sample space, tree diagram, and counting principle)

Answers

1) there are 12 possible lunch options. 2) the probability of having any meal with no cookie is 1/2 or 0.5.

How to find the number of possible lunch options.

1) Number of possible lunch options:

To determine the number of possible lunch options, we need to consider the choices for each component of the lunch.

- Sandwich: There are 3 options (turkey, roast beef, or bologna).

- Fruit: There are 2 options (orange or apple).

- Dessert: There are 2 options (cookie or muffin).

Using the counting principle, we multiply the number of options for each component together:

Number of possible lunch options = 3 (sandwich options) × 2 (fruit options) × 2 (dessert options) = 12.

Therefore, there are 12 possible lunch options.

2) Let's examine the favorable outcomes for each component:

- Sandwich: There are still 3 options (turkey, roast beef, or bologna).

- Fruit: There are 2 options (orange or apple).

- Dessert: There is 1 option (muffin, as we want to exclude cookies).

Using the counting principle, we multiply the number of options for each component together:

Number of favorable outcomes (no cookie) = 3 (sandwich options) × 2 (fruit options) × 1 (muffin option) = 6.

The total number of possible outcomes is still 12 (as calculated in the previous step).

Therefore, the probability of having any meal with no cookie is:

P(No cookie) = Number of favorable outcomes / Total number of possible outcomes = 6 / 12 = 1/2 or 0.5.

Hence, the probability of having any meal with no cookie is 1/2 or 0.5.

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Answer:

1) there are 12 possible lunch options. 2) the probability of having any meal with no cookie is 1/2 or 0.5.

Step-by-step explanation:

the questions is on the attached screenshot file.

Answers

Answer:

1N2+3H2 ----> 2NH3

2KClO3 ----> 2KCl + 3O2

Step-by-step explanation:

well... this is chemistry but...

1N2+3H2 ----> 2NH3

2KClO3 ----> 2KCl + 3O2

do some lcm stuff i don't know how to explain

Randy has 53 inches of ribbon that he cuts into 8 pieces of equal length. What is the length of each piece of ribbon, in inches? Use paper to show your work. Enter your answer in the box.
The length of each piece of ribbon is
inches.
Question 2
Select from the drop-down lists to describe the length of each piece of Randy’s ribbon.
The length of each piece of Randy’s ribbon is between ? and ? inches

Answers

Answer:

6.625 inches or 6 5/8 inches

and the drop down hopefully will let you choose "between 6 and 7 inches"

Step-by-step explanation:

53/8 = 6.625

0.625 = 5/8

Let me know if you have questions about this. Have a good night.

$\frac{3x+1}{x} X \frac{21}{4}$

Answers

Answer:

$\frac{63x+21}{4x}$

Step-by-step explanation:

(3x+1)/x * 21/4 =

(3x+1)*21 / (x*4)=

21(3x+1) / (4x) = ==> simplify

(21*3x + 21*1) / (4x) = ==> distribute 21 to 3x and 1

(63x + 21) / (4x) = ==> simplify

(63x + 21) / (4x) ==> $\frac{63x+21}{4x}$

During a certain period of time, a car can cover the distance of 120 miles, going at an average speed of 55 mph. What distance over the same period of time would cover a truck, going at an average speed of 44 mph
please answer

Answers

Answer: 96 miles

Step-by-step explanation: 120 divide by 55= 2.18. So you multiply 44 by 2.18

Shid I wish I knew lol

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