A gardening company sells clay flower pots and plastic flower pots. There must be at least 2 pots in each shipment, but there cannot be more than 8 in a shipment. Additionally, the shipment must weigh less than 100 lbs. Each shipment container weighs 20 lbs., and there is 1 lb. of packing material. A clay flower pot weighs 15 lbs., whereas a plastic flower pot weighs 7.5 lbs.

(A) Write a system of inequalities that represent the constraints on the number of pots that can be included in one shipment.

Answers

Answer 1

The system of inequalities can be obtained from the given information

on the allowable weights and number of pots.

The correct responses:

The system of inequalities that represent the constraint on the number

of pots that can be included in one shipment are;

2 ≤ x + y ≤ 815·x + 7.5·y ≤ 79 lbs.

Methods used to find the system of inequalities

The inequality that represents the number total number of clay, T, in each shipment is 2 ≤ T ≤ 8

The inequality that represents weight of each shipment is w < 100 lbs

The weight of each shipment container = 20 lbs

The weight of the packing material = 1 lb

Therefore;

The maximum weight of the flower pots = 100 lbs - 21 lbs = 79 lbs

The weight of each clay flower pot = 15 lbs

The weight of each plastic flower pot = 7.5 lbs

Let "x" represent the number of clay flower pot included in one shipment

and let "y" represent the number of plastic flower pot included in one

shipment, we have;

The system of inequalities that represent the constraint on the number of pots that can be included in one shipment are as follows;

2 ≤ x + y ≤ 815·x + 7.5·y ≤ 79 lbs.

Learn more about inequalities here:

https://brainly.com/question/10868639

Answer 2

We will find the system of inequalities:

C*15 lb  + P*7.5lb < 79 lb

2  ≤ P + C ≤ 8

How to write a system of inequalities?

First, we need to define the variables that we will be using, these are:

C = number of clay pots.P = number of plastic pots.

From the first restriction, we have that:

2  ≤ P + C ≤ 8

The other restriction says that the weight must be less than 100lbs:

W < 100lbs

Where the weight is:

W = C*15 lb  + P*7.5lb + 20lb + 1lb

Where 20lb is the weight of the container and 1lb is the weight of the packing material, then we have:

C*15 lb  + P*7.5lb + 20lb + 1lb < 100lb

We can subtract 21 lb in both sides to get:

C*15 lb  + P*7.5lb < 100 lb - 21 lb

C*15 lb  + P*7.5lb < 79 lb

So we got our two inequalities, then the system is:

C*15 lb  + P*7.5lb < 79 lb

2  ≤ P + C ≤ 8

If you want to learn more about systems of inequalities, you can read:

https://brainly.com/question/9774970


Related Questions

could you help me with this

Answers

Answer: 40

Step-by-step explanation:

All you have to do is divide it. However, the actual answer is 40.5, but I'm sure that they round it.

Answer:

There would be 40

Step-by-step explanation:

b) 7+2x/3 =5
helppppp

Answers

Answer:

4

Step-by-step explanation:

7+2x/3=5

7+2x. = 15

2x. =8

x. = 4

i hope it is helpful

Answer:

[tex] \frac{3x + 4}{2} = 9.5 \\ 3x + 4 = 19 \\ 3x = 15 \\ \boxed{x = 5}[/tex]

[tex] \frac{7 + 2x}{3} = 15 \\ 2x + 7 = 45 \\ 2x = 38 \\ \boxed{x = 19}[/tex]

Kramer earns $400 a week at the bookstore plus $3 for every magazine he sells. He uses the equation y = 3x + 400 to represent his earrings, where x represents magazine sales and y represents his weekly pay.

If he needs to earn $490 next week to pay for his summer field trip, how many magazines does he need to sell?

Answers

Answer:

30

Step-by-step explanation:

490= 400 + 3x

3x=90

x=30

Please answer!! It's in the exam I'm taking!! The first correct answer gets brainliest

Answers

Answer:

Answer B, AB is parallel to CD

Step-by-step explanation:

I'm 99% sure this is the answer.

1 Evaluate the expression. r3 - 2s if r = 5 and s = 4​

Answers

Answer:

117

Step-by-step explanation:

Given the expression

r³ - 2s ← substitute given values into the expression

= 5³ - 2(4)

= 125 - 8

= 117

Hey there! [tex]\bold{r = 5 ; s =4}[/tex][tex]\bold{5^3 -2(4)}\\ \\ \bold{5^3=5\times5\times5 \rightarrow 25\times5 = \underline{125}}\\\\\bold{2\times4=\underline{8}}\\\\\\\bold{125-8 = \underline{117}}\\\\\\\\\boxed{\boxed{\bold{Answer: \underline{117}}}}\huge\checkmark[/tex]Good luck on your assignment and enjoy your day!~[tex]\frak{LoveYourselfFirst:)}[/tex]

Present the trigonometric relations of the ratios via,
Pythagoras Theorem

Answers

Answer:

ypotenuse squared = adjacent squared + opposite squared

Step-by-step explanation:

sin θ =opposite/hypotenuse

tan θ = opp/adjacent

cos θ = adj/hyp

Pythagoras Theorem states that hypotenuse squared = adjacent squared + opposite squared

ASAP NOW AND YOULL GET 20 and ILL ANSWER ONE OF URS

Answers

Answer:

its the second option.

Step-by-step explanation:

Identify the x- and y-intercepts of the equation
4x - y = 8

Answers

Answer:

[tex]\boxed{\boxed{\pink{\sf \leadsto The \ x - intercept \ is \ (2,0) \ \& \ the \ y \ intercept \ is \ (-8,0) }}}[/tex]

Step-by-step explanation:

A linear equation is given to us and we are required to find x and y Intercepts to it. So the given linear equation to us is ,

[tex]\bf \implies 4x - y = 8 \\\\\bf\implies \dfrac{1}{8} \bigg( 4x -y\bigg) =\frac{1}{8}\times 8 \\\\\bf\implies \dfrac{4x}{8}-\dfrac{y}{8} = \dfrac{8}{8} \\\\\bf\implies \dfrac{x}{2}-\dfrac{y}{8}=1 \\\\\bf\implies\boxed{\red{\bf \dfrac{x}{2}+\dfrac{y}{-8}=1 }}[/tex]

Hence on comparing to standard form we get

x intercept as (2 , 0 )y intercept as (0,-8)

Hence the x - intercept is ( 2 , 0 ) and the y - intercept is ( 0 , -8 ) .

Answer:

x = (2,0)

y = (0,-8)

Step-by-step explanation:

Remember than an intercept always has the other number as 0.

Let's put this in standard form of a linear equation, or y = mx + b

4x - y = 8

-y = -4x + 8

y = 4x - 8

"b" is the y intercept. The y intercept is -8, or (0,-8)

Now, to find the x intercept, all we have to do is substitute 0 for y.

0 = 4x -8

8 = 4x

2 = x

The x intercept is 2, or (2,0)

Stan worked 4 years less than Marco. This year Stan has worked 29 years. If b is how long Marco worked, the equation b – 4 = 29 represents this situation. How can you get the variable alone on one side of the equation?

Answers

by adding 4 to both side

Answer:

Add to Both sides

Step-by-step explanation:

Please help. BRAINLIEST to correct answer!!

Answers

Answer:

True

Step-by-step explanation:

This is true because these tables represent inverses of each other. I think.

(-5,2) and (1,-2) what’s the rise/run?

Answers

Answer:

m= -2/3

Step-by-step explanation:

Use the slope formula to find the slope m .

-3/2 is correctttttttttttttttt

2. What does ST TU mean? Why is
this true?

Answers

Answer:

STTU either means Specialized Tactical Training Unit  or Surrounding Thyroid Tissue Uptake

Step-by-step explanation:

ST and TU are typically used to measure a line and/or angle in a triangle or shape. This is true because I've seen it multiple times.

May I have brainliest please? :)

Is the equation y = x3 - 2 a linear equation?

Answers

Answer:

Not linear

Find the degree of the equation to determine if linear.

Which expression is equivalent to that

Answers

Answer:

3. 9x

4. D. -5v + 4

Step-by-step explanation:

3. (-3+12)v

= 9v

4. Combine like terms:

(-2v - 3v) + (8 - 4)

= -5v + 4

Hope that somehow helps.

What is the product of -4 and 2 3/5​

Answers

Answer:

[tex]( - 4) \times 2 \frac{3}{5} =(- 4) \times \frac{13}{5} = \frac{ (- 52)}{5} \\ = \boxed{ - 10.4}[/tex]

-10.4 is the right answer.

Answer:

-12/5

Step-by-step explanation:

2 and 3/5 can be changed to 13/5

multiply -4 by 3/5 to get -12/5

Please help!! Thank you so much!!

Answers

Answer:

AC, AB, BC

Step-by-step explanation:

3x-13+2x-20+x+15=180

6x-18=180

6x=198

x=33

<a 86

<b 46

<c48

these are the choices
10
8.7
8
8.5

Answers

Answer:

8.7

Step-by-step explanation:

Answer:

8.7

Step-by-step explanation:

the sides are 1 red line, which means congruent.

Since they are congruent, DF~=EG, which means that EG is 8.7

Hope this helps plz hit the crown :D

can you explain this to me ​

Answers

Answer:

The answer is D. 20%

please help and please explain

Answers

Answer:

D

Step-by-step explanation:

Quadrant II is the top right corner.  Both of the values are positive there so the only correct answer is D.

Hope this helps!

Jamie burned 480 calories in an exercise
class on Monday. She took a different class
the next day and burned as many
calories as she did on Monday. How many
calories did she burn on Tuesday?

Answers

480? I mean she burned as many as Monday and Monday she burned 480..

Which equation is equivalent to
f(x) = 16x4 – 81 = 0?
(4x2 - 9)(4x2 - 9) = 0
(4x2 + 9)(4x2 - 9) = 0
(4x - 9)(4x - 9) = 0
(4x + 9)(4x - 9) = 0

Answers

Answer:(4x2+9)(4x2-9)=0

Step-by-step explanation:(4x2+9)(4x2-9)=0

Your welcome

A random survey of the quality of city parks is taken. Sixty-five percent of the people surveyed were pleased with the condition of the parks. If 182 people were pleased, then how many were surveyed? (sorry if its not a lot of points I just made an account ^ ^)

Answers

118.3
65% of 182 people is 118.3

Find the product.
-3( -12)

-3( -12) =

Answers

36 because -3x-12 = 36

Is this table a function?

Yes, because every y is matched with only one x
Yes, because every x is matched with only one y.
No, because the table does not include the point (0, 0)
No, because the table is not proportional.

Answers

B is the correct answer because -3 is the only value x is multiplied by.

Identify the terms, like terms, coefficients,
and constants in 5n - 2n – 3 + n.

Answers

Answer:

5n - 2n - 3 + n

3n - 3 + n

3n + n = 3

4n = 3

N= 4 ➗ 3

N = 1.33

Step-by-step explanation:

PLEASE I NEED HELP!!!!!!!!!

Answers

Answer: Its 5 1/12 hope this helped!!!

Answer

Answer = 278/63 as in the pic

3x -(-2-4x)=
What does this equals??

Answers

Answer:

7x + 2

Step-by-step explanation:

Original Equation: 3x − ( −2 − 4x)

First, we distribute the negative sign:

= 3x + (−1) (−2−4x)

=3x + (−1)(−2) + (−1)(−4x)

= 3x + 2 + 4x

Using the communitive property of addition, we can write:

= 3x + 4x + 2  (Instead of 3x + 2 + 4x)

Combining like terms, we get:

= (3x + 4x) + 2

= 7x + 2

solve for X, each figure is a parallelogram

Answers

LKJ= 360
L and J are congruent
360-64-36= 260
X=260-80
260-80 =180
X=180

Step-by-step explanation:

[tex]x + 80 = 180 - (64 + 36) \\ x + 80 = 180 - 100 \\ x + 80 = 80 \\ \boxed{x = 0}[/tex]

0 is the right answer.

Find the slope of the line graphed below.

Answers

Answer:

m=3/5 rise:3 run:5

anyone know the answer to this

Answers

Answer:

s = 2

Step-by-step explanation:

6 x 2 = 12

12 - 4 = 8

S=2 hope this helps! :)))
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