Teddy will buy at least 15 bags of ice for the graduation picnic. each large bag of ice costs $4.00, and each small bag of ice costs $2.50. he will spend up to $50 on ice. this system of inequalities is graphed below. which combination of bags of ice can teddy buy?

a) 10 large bags and 5 small bags

b) 6 large bags and 10 small bags

c) 9 large bags and 6 small bags

d) 2 large bags and 11 small bags

Step-by-step explanation:

Let number of large bags be x

Let number of large bags be x

Teddy will buy at least 15 bags of ice for the graduation picnic.

Each large bag of ice costs $4.00, and each small bag of ice costs $2.50. He will spend up to $50 on ice. The set of inequalities that describe this scenario are

4x + 2.5y lesser than or equal 50

x + y greater than 15

The combination of bags of ice that Teddy can buy is

b) 6 large bags and 10 small bags

From the option b, the total number of large and small bags is greater than 15 and the total cost is 49( it doesn't exceed 50)

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°

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