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amm1812
3 years ago
12

You hate it when rabbits run into your yard and eat your garden. to prevent this you can rent a wolf to scare the rabbits at Wol

f em up they will devlier a live wolf to door for 17.50 and you can keep the liely fellow for 2.25 per day. At fangs r us they will deliver a wolf for 24.25 and you can keep it for 1.50 per day. ( at both businesses they will prorate the rental fee for partial days.a. on what day number will the number of days rented and the cost of renting a wolf be the same at both busniesses?b. what will the cost be on that day?
Mathematics
1 answer:
Natalka [10]3 years ago
3 0
At Wolf-M-Up,  Cost = 17.50 + 2.25(number of days)

At Fangs-R-Us, Cost = 24.25 + 1.5(number of days)

The costs are the same when   [ 17.50 + 2.25 D  =  24.25 + 1.5 D ].

Subtract  1.5D  from each side:  17.50 + 0.75 D  =  24.25

Subtract  17.50  from each side:  0.75 D  =  6.75

Divide each side by  0.75 :                <em>D  =  9 days</em>

Substitute  9  for the number of days at either company,
and the cost is<em>  $37.75</em> .

If you only want the wolf for a few days, then Wolf-M-Up is cheaper.

If you plan to keep it for more than 9 days, then Fangs-R-Us will cost less.

For exactly 9 days, both wolves will cost the same  $37.75 .
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The car is moving with a speed v0 = 48 mi/hr up the 4-percent grade, and the driver applies the brakes at point A, causing all w
lutik1710 [3]

Answer:

s = 0.2203 miles

Step-by-step explanation:

Given:

- The initial speed vo = 48 mi/hr

- The mass of the car m

- The coefficient of kinetic friction uk = 0.61

- The slope of the road 4-percent grade

Find:

Determine the stopping distance sAB. Repeat your calculations for the case when the car is moving downhill from B to A.

Solution:

- Apply the energy principle with work done against friction:

                             K.E_1 + P.E_1 = Wf + P_E_2 + K.E_2

- The final velocity of car is zero, K.E_2 = 0

  The initial potential energy is set as zero, P.E_1 = 0

                             K.E_1 = Wf + P_E_2

                             0.5*m*vo^2 = Ff*s + m*g*h

Where, Ff is the frictional force:

                             Ff = uk*N

Where, N is the normal contact force between car and road. By equilibrium equation we have:

                             m*g*cos(θ) - N = 0

                             N = m*g*cos(θ)

Hence,

                             Ff = uk*m*g*cos(θ)

- The vertical distance travelled h is:

                             h = s*sin(θ)

- The energy equation is:

                             0.5*m*vo^2 = uk*m*g*cos(θ)*s + m*g*s*sin(θ)

                             0.5*vo^2 = uk*g*cos(θ)*s + g*s*sin(θ)

                             s*(uk*g*cos(θ) + g*sin(θ) ) = 0.5*vo^2

                             s = [0.5*vo^2 / (uk*g*cos(θ) + g*sin(θ) ) ]

- The slope = 4 / 100,

                      s = [0.5*48^2 / (0.61*8052.97*cos(2.29) + 8052.97*sin(2.29) ) ]

                      s = 0.2203 miles

3 0
4 years ago
WILL GIVE BRAINLIEST!
Dafna11 [192]

Answer:

(a) $6550

(b) $1511.54

Step-by-step explanation:

(a) You can solve the equation

... 12 × (monthly salary) = $78,600

by dividing both sides of the equation by 12.

... (monthly salary) = $78,600/12 = $6,550

(b) You know there are 52 weeks in a year, so you know that ...

... 52 × (weekly salary) = $78,600

... (weekly salary) = $78,600/52 ≈ $1,511.54 . . . . . . . divide by 52

5 0
3 years ago
How many different lines of symmetry does a square have?
Sedaia [141]

Answer:

4

Step-by-step explanation:

8 0
2 years ago
2) The cost of renting a boat for one or more
ivann1987 [24]

Answer: 3f

Step-by-step explanation:

6 0
3 years ago
8x(5+10)= (8x5) + (5x10)
Slav-nsk [51]

Answer:

i think its x= 0.75

Step-by-step explanation:

substitute:

8x × 5 = 40x

8x × 10 = 80x

8 × 5 = 40

5 × 10 =50

40x + 80x = 40 + 50

add like terms

so it'd be:

120x = 90

now divide 90 by 120 and that would give you the value of x alone which is 0.75

7 0
3 years ago
Read 2 more answers
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