Mathematics, 02.12.2019 07:31 shusemann

In order to prepare for your summer bash, you go to the supermarket to buy hamburgers and
chicken. hamburgers cost $2 per pound and chicken costs $3 per pound. you have no more than
$30 to spend. you expect to purchase at least 3 pounds of hamburgers.

Answers: 1

Show answers

Answers

Answer from: sarah19Nursing

The complete question is:

In order to prepare for your summer bash, you go to the supermarket to buy hamburgers and chicken. Hamburgers cost $2 per pound and chicken costs $3 per pound. You have no more than $30 to spend. You expect to purchase at least 3 pounds of hamburgers.

Write a system of inequalities to represent this situation.Graph the system of inequalities on the grid.Give three possible combinations for buying hamburgers and chicken for your summer bash.

Justify your answers

A) System of inequalities:

2x + 3y ≤ 30x ≥ 3x ≥ 0y ≥ 0

B) Graph: see the picture attached

C) Three possible combinations:

3 pounds of hamburgers and 8 pounds of chicken3 pounds of hamburgers and 0 pounds of chicken15 pounds of hamburgers and 0 pounds of chicken

Explanation:

A) Write the system of inequalities to represent this situaction.

1. Variables:

x: number of pound of hamburgersy: number of pound of chicken

2. Costs:

x pounds of hamburgers at $2 per pound: 2xy: pounds of chicken at $3 per pound: 3ytotal cost: 2x + 3y

3. First constraint:

You have no more than $ 30 to spend: means that the cost of what you buy can be at most (less than or equal to) $ 30.2x + 3y ≤ 30

4. Second constraint:

You expect to purchase at least 3 pounds of hamburgers: means that the number of pounds of hamburgers may be greater than or equal to 3.x ≥ 3

5. Additional constraints:

Both, x and y cannot be negative: x, y ≥ 0

6. System of equations:

2x + 3y ≤ 30x ≥ 3x ≥ 0y ≥ 0

B) Graph

You have to graph all the constraints in a x-y coordinate system.

1. To graph 2x + 3y ≤ 30 graph the line 2x + 3y = 30

Choose the y-intercept and x-intercept.x = 0 ⇒ 3y = 30 ⇒ y = 10 ⇒ point (0, 10)y = 0 ⇒ 2x =30 ⇒ x = 15 ⇒ point (15, 0)With two points you can draw the lineClear y: y ≤ 10 - 2x/3. Since, the symbol is ≤ you shade the region below the line, and the line is included, so you draw it as as solid line.

2. To graph x ≥ 3 just draw the vertical line x = 3 and shade the region to the right of it. The points of the line are included (solid line).

3. The constraints x ≥ 0 and y ≥ 0 mean that the region is restricted to the first quadrant (including the positive axis).

4. The feasible solutions are the set of points inside the common regions (intersection).

With all that information the graph is the one attached. The feasible solutions is the region defined by the triangle with vertices (3,8), (3,0), and (15,0).

C) Give 3 possible combinations.

You can pick any three points inside the region, as long as the coordinates are integer numbers. For instance the 3 vertices are solutions:

(3, 8) ⇒ 3 pounds of hamburgers and 8 pounds of chicken(3,0) ⇒ 3 pounds of hamburgers and 0 pounds of chicken(15,0) ⇒ 15 pounds of hamburgers and 0 pounds of chicken

You could also prove that (5,4), 5 pounds of hamburgers and 4 pounds of chicken meet, the inequalities.

This is how you prove it:

5 ≥ 05 ≥ 34 ≥ 02(5) + 3(4) = 10 + 12 = 22 ≤ 30

And you can do the same for any pairs to verify whether they are solution or not.

In order to prepare for your summer bash, you go to the supermarket to buy hamburgers andchicken. ha

Answer from: Quest

answer: 94

step-by-step explanation: 79+91+92+94+94 = 450 divided by 5 (since there are 5 number that are being added) = 90

Can someone plz answer this last ! i will give brainliest to whoever answers it

Answer from: Quest

5x + 5

step-by-step explanation:

you should always add the diagrams and graphs we cannot see. this particular question is kind of borderline because we can make a graph for you.

(f + g)x = -x^2 +3x + 5 + x^2 + 2x

(f + g)x = 5x + 5

the graph of z = 5x + 5 is shown below. always use desmos when in doubt.

Another question on Mathematics

Mathematics, 21.06.2019 18:00

He that is measured at 220° is a reflex angle. the opposite angle is obtuse. find the measure of obtuse .

Answers: 1

Answer

Mathematics, 21.06.2019 23:50

Mariah is randomly choosing three books to read from the following: 5 mysteries, 7 biographies, and 8 science fiction novels. which of these statements are true? check all that apply. there are 20c3 possible ways to choose three books to read. there are 5c3 possible ways to choose three mysteries to read. there are 15c3 possible ways to choose three books that are not all mysteries. the probability that mariah will choose 3 mysteries can be expressed as . the probability that mariah will not choose all mysteries can be expressed as 1 −

Answers: 1

Answer

Mathematics, 22.06.2019 00:30

Given abc find the values of x and y. in your final answer, include all of your calculations.

Answers: 1

Answer

Mathematics, 22.06.2019 01:10

I'm marking the brainliest and it's 15 points

Answers: 1

Answer

You know the right answer?

In order to prepare for your summer bash, you go to the supermarket to buy hamburgers and
chick...