At the shopping mall, Joaquin bought 4 pretzels and a bottle of water for 11.50 Kelly bought 3 pretzels and a bottle of water for 9.00. What is the price of a bottle of water?

the price of a bottle of water is $1.5

Step-by-step explanation:

Let x represent the price of one pretzel.

Let y represent the price of one bottle of water.

At the shopping mall, Joaquin bought 4 pretzels and a bottle of water for 11.50. It means that

4x + y = 11.5- - - - - - - - - -1

Kelly bought 3 pretzels and a bottle of water for 9.00. It means that

3x + y = 9- - - - - - - - - - - - 2

Subtracting equation 2 from equation 1, it becomes

x = 2.5

Substituting x = 2.5 into equation 1, it becomes

4 × 2.5 + y = 11.5

10 + y = 11.5

y = 11.5 - 10

y = 1.5

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