One car rental agency charges $0.29 per mile plus a $10 weekly fee. Another rental agency charges $.0.35 per mile with no fee. You need to rent the car for 3 weeks. Write and solve an equation to find the number of miles for which both agencies will charge the same.

166.67 miles.

Step-by-step explanation:

let the number of mile for which the cost for both car rental be same is x mile

For first car rental

weekly fees charged = $10

cost of 1 mile = $0.29

cost of x miles = x*cost of 1 mile = $0.29x

total money charged by first car rental = $10 + $0.29x

For other car rental

weekly fees charged = 0

cost of 1 mile = $0.35

cost of x miles = x*cost of 1 mile = $0.35x

total money charged by other car rental = $0.29x

since we have to find miles for which charges are same

thus

total money charged by first car rental  = total money charged by other car rental

10 + 0.29x = 0.35x equation required

=> 10 = 0.35x - 0.29x

=> 10 = 0.06x

=> x = 10/0.06 = 166.67

Thus, the number of miles for which both agencies will charge the same is 166.67 miles.

x=12 units bd= 10 units

step-by-step explanation:

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