A store is having a sale on jelly beans and trail mix. For 3 pounds of jelly beans and 2 pounds of trail mix, the total cost is $11. For 5 pounds of jelly beans and 6 pounds of trail mix, the total cost is $23 . Find the cost for each pound of jelly beans and each pound of trail mix.

the cost for each of jelly beans and each pound of trail mix is $2.5 and $1.75

Step-by-step explanation:

Given A store is having a sale on jelly beans and trail mix. For 3 pounds of jelly beans and 2 pounds of trail mix, the total cost is $11. For 5 pounds of jelly beans and 6 pounds of trail mix, the total cost is $23 . We have to find the cost for each pound of trail mix and each pound of jelly beans.

Let the cost of each pound of trail mix is $y.

and  the cost of each pound of jelly beans is $x.

According to question,

For   3 pounds of jelly beans and 2 pounds of trail mix, the total cost is $11.

⇒  →  (1)

For 5 pounds of jelly beans and 6 pounds of trail mix, the total cost is $23

⇒  →  (2)

Solving (1) and (2), we get

3(1 equation)-(2 equation)=0

⇒

⇒

hence,

⇒

⇒

Putting in    we get ;

⇒  

⇒  

⇒  

⇒  

Hence, the cost for each of jelly beans and each pound of trail mix is $2.5 and $1.75 .

the thermometer is precise but not accurate

step-by-step explanation:

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.