What is the combined weight of the 1/2 lb bags of trail mix?

(a)2 Pounds

(b)3 Pounds

(c)7 Pounds

Step-by-step explanation:

A clerk in a health food store makes bags of trail mix. The amount of trail mix in each bag is listed below.

(a)What is the combined weight of the 1/2 -lb bags?

(b)What is the combined weight of the 3/4 -lb bags?

(c)What is the total weight of the trail mix used in all the bags?

The amount of Trail Mix is listed below:

1/4lb,1/4lb,3/4lb,1/2lb,1/4lb,3/4lb,  

3/4lb,3/4lb,1/2lb,1/4lb,1/2lb,1/2lb

(a)There are 4 bags which weigh

Therefore:

Their Combined Weight =

(b)There are 4 bags which weigh

Therefore:

Their Combined Weight =

(c)The total Wight of all the mix is gotten as follows:

Weight of all bags + Weight of all bags + Weight of all bags

Weight of all bags =

Therefore, using the values derived in (a) and (b)

Total Weight = 2+3+2 =7 lb.

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

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!