Ido not understand this type of math no matter how hard i try, and i would be so glad to recieve some with his. you!

ben is making a dessert that requires 212 lb of strawberries and 112 lb of blueberries.

strawberries cost $1 less per pound than blueberries. ben spent a total of $9.50 on the fruit.

what is the price per pound of each type of fruit?

let x equal the pounds of blueberries.

let y = the pounds of strawberries.

blueberries cost 4 dollars a pound.

strawberries cost 3 dollars a pound.

total cost has to be less than 21 dollars.

equation for that is:

4x + 3y <= 21

you need at least 3 pounds of fruit to make muffins.

equation for that is:

x + y >= 3

is it possible to buy 4 pounds of blueberries and 1 pound of strawberries in this scenario?

4 pounds of blueberries costs 4 * 4 = 16 dollars.

1 pound of strawberries costs 3 * 1 = 3 dollars.

total cost is 19 dollars which is less than the maximum amount of money than can be spent.

5 pounds of fruit is greater than the minimum amount of fruit required.

answer is yes.

all the requirements are met.

pounds of fruit need to be greater than 3.

dollars of cost need to be less than 21.

Step-by-step explanation:

You can spend at most $21 on fruit. Blueberries cost $4 per pound and strawberries cost $3 per pound. You need at least 3 pounds to make muffins.

a. Define the variables.

b. Write a system of linear inequalities that represents this situation.

c. Graph the system of linear inequalities.

d. Is it possible to buy 4 pounds of blueberries and 1 pound of strawberries in this situation? Justify your answer.

answer: the answer is c.

step-by-step explanation:

she’s dividing 1/3 of the flour into 2 jars.

hope this : )

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be