hanz73

15.07.2020 • 

Mathematics

Help Quick !! Michelle has $8 and wants to buy a combination of dog food to feed at least two dogs at the animal shelter. A serving of dry food costs $1, and a serving of wet food costs $3. This system of inequalities models the scenario: x + 3y ≤ 8 x + y ≥ 2 Part A: Describe the graph of the system of inequalities, including shading and the types of lines graphed. Provide a description of the solution set. (4 points) Part B: Is the point (8, 2) included in the solution area for the system? Justify your answer mathematically. (3 points) Part C: Choose a point in the solution set and interpret what it means in terms of the real-world context. (3 points) A: With x= the number of servings of dry food and y= the number of servings of wet food The first inequality B: Yes, because the point completes both inequalities, with x=8, and y=2 both make the inequalities true. C: The point (3,1) in the real world would mean Michelle buys 3 servings of of dry food and 1 serving of wet food. Michelle has $8 and wants to buy a combination of dog food to feed at least two dogs at the animal shelter. A serving of dry food costs $1, and a serving of wet food costs $3. This system of inequalities models the scenario: x + 3y ≤ 8 x + y ≥ 2 Part A: Describe the graph of the system of inequalities, including shading and the types of lines graphed. Provide a description of the solution set. (4 points) Part B: Is the point (8, 2) included in the solution area for the system? Justify your answer mathematically. (3 points) Part C: Choose a point in the solution set and interpret what it means in terms of the real-world context. (3 points) A: With x= the number of servings of dry food and y= the number of servings of wet food The first inequality B: Yes, because the point completes both inequalities, with x=8, and y=2 both make the inequalities true. C: The point (3,1) in the real world would mean Michelle buys 3 servings of of dry food and 1 serving of wet food.

Ответ:

mbragg2005

09.10.2020

Mathematics

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Here's what I get.

Step-by-step explanation:

(a) x + 3y ≤ 8

(b) x +   y ≥ 2

Part A

(i) Inequality (a)

Solve for y

The graph of y ≥ ⅓(8-x) is represented by the upper red line and all points in the shaded area below it. The line is solid because points on the line satisfy the condition.

ii) Inequality (b)

Solve for y

The graph of y ≥ 2 - x is represented by the lower blue line and all points in the shaded area above it. The line is solid because points on the line satisfy the condition.

The solution set lies in the purple area. It consists of all combinations of x and y that make y ≥ ⅓(8 - x) and y ≥ 2 - x.

A practical but not a mathematical condition is that all values of x and y must be zero or positive numbers (for example, you can't have -2 servings of food), so I have plotted only the numbers in the first quadrant.

Part B

Substitute (8,2)into each inequality

(i) Inequality (a)

FALSE.

ii) Inequality (b)

TRUE.

The point (8, 2) satisfies one inequality but not the other.

It is in the blue area but not the purple area of the graph, so it is not in the solution area for the system.

Part C

I will choose the point (2, 1).

x + 3y = 2 + 3×1 =2 + 3 = 5

x + y = 3

x represents a serving of dry food and y represents a serving of wet food.

The point (2, 1) means that she can buy three servings of food (> 2) —  two of dry and one of wet) —  for $5 (< $8).

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Ответ:

Jesseniapacheco31

04.05.2020

Mathematics

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Complete question :

Jelena has a piece of fabric in the shape of a parallelogram the height is 10 feet and its base is 16 feet because the fabric into four equal parallelograms by current base and the height in half what is the area of each new parallelogram?

40 ft²

Step-by-step explanation:

Given that:

Height = 10 feets

Base = 16 feets

Area of parallelogram = height * base

Area of parallelogram = 10 * 16 = 160 ft²

Area of each new parallelogram :

Area of parallelogram / number of divisions

= 160ft² / 4

= 40 ft²

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