Juan buys peaches and grapefruit at the store. he writes the equations shown to model the relationship between

the number of pounds of peaches, p, and the number of pounds of grapefruit, g, that he buys.

p + g = 2.5

1.58p + 1.09g = 3.46

what is the total number of pounds of peaches and grapefruit that juan buys?

The total number of pounds of peaches is 1.5 pounds that Juan buys.

The total number of pounds of grapefruit is 1 pounds that Juan buys.  

Step-by-step explanation:

Given : Juan buys peaches and grapefruit at the store. He writes the equations shown to model the relationship between  the number of pounds of peaches, p, and the number of pounds of grapefruit, g, that he buys.

To find : What is the total number of pounds of peaches and grapefruit that Juan buys?

Solution :

The equation,

 ....(1)

....(2)

Substitute (1) in (2),

Substitute in (1),

The total number of pounds of peaches is 1.5 pounds that Juan buys.

The total number of pounds of grapefruit is 1 pounds that Juan buys.

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