Two friends visited a taffy shop. Rachel bought 4 pounds of strawberry taffy and 6 pounds of banana taffy for $44. Next, Pablo bought 2 pounds of strawberry taffy and 5 pounds of banana taffy for $30. How much does the candy cost?

The cost of the candy is

$5 for strawberry taffy and

$4 for banana taffy

Step-by-step explanation:

Here we have

Let the strawberry taffy  be = S and

the banana taffy = B

The system of equation becomes

4·S + 6·B = $44(1)

2·S + 5·B =$30(2)

To solve the equations, we multiply equation (2) by 2 to get

2×(2·S + 5·B) =$30. × 2

4·S +10·B = $60(3)

We subtract equation (1) from equation (3) to get

(4·S +10·B)-(4·S + 6·B) = $60 - $44

4·B = $16 or B = $16/4 = $4

Therefore, from equation (2) we have

2·S + 5×$4 =$30 or

2·S = $30 - $20 = $10

S = $10/2 = $5

The candy costs

Strawberry taffy = $5 and

Banana taffy = $4

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

can someone answer this question plz

step-by-step explanation: