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

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.

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Answers

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Answers

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Answers

Answer:

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Answers

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Answers

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Answers

Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Answer:

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Answers

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Answers

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Answers

Answer:

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Answer:

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Answers

Answer:

7x + 2

Step-by-step explanation:

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First, we distribute the negative sign:

= 3x + (−1) (−2−4x)

=3x + (−1)(−2) + (−1)(−4x)

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

Combining like terms, we get:

= (3x + 4x) + 2

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Answers

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AC, AB, BC

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Answers

Answer:

117

Step-by-step explanation:

Given the expression

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= 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]

Jamie burned 480 calories in an exercise
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the next day and burned as many
calories as she did on Monday. How many
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Answers

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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.
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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 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)

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0 = 4x -8

8 = 4x

2 = x

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

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