Savannah sells character images online. Small images take one hour to make and she sells them for $15. Large images sell for $25 and take two hours to make. Each week, Savannah can work up to 20 hours making images, and she wants to earn at least $400. Let x represent the number of small images Savannah makes in a week, and let y represent the number of large images. Which of the following systems of inequalities models the constraints of this situation?

15x + 25y ≥ 400

x + 2y ≤ 20

x ≥ 0, y ≥ 0

Step-by-step explanation:

Here, we are modelling the total number of hours she can use in making images in a week and the total amount that can be earned in a week, considering the given constraints.

Number of small images in a week = x

Number of hrs in making images if it takes 1 hr to make 1 = 1*x = x

Number of large images in a week = y

Number of hrs in making large images if it takes 2 hrs to make 1 = 2*y = 2y

Given that she has up to 20 hrs to make the images, therefore, the inequality that models this situation would be:

x + 2y ≤ 20

This implies that, the hours spent altogether can be less than or equal to 20hrs

Amount for small images = $15

Amount in total for all images made in a week = $15*x = 15x

Amount for large images = $25

Amount in total for all images made in a week = $25*y = 25y

Given that she can earn AT LEAST $400 in a week, therefore, the inequality that models this situation would be:

15x + 25y ≥ 400

This implies that, the amount she wants to make in a week would be $400 or more.

The system of inequalities would be:

x + 2y ≤ 20

15x + 25y ≥ 400

x ≥ 0, y ≥ 0

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

the answer is a i belaeve atleast thats what my calculator just gfave me

step-by-step explanation: