Answer

maddy is carrying a 5 liter jug of sports drink that weighs 7.5 kg. she wants to know how many kilograms a 2 liter jug of sports drink would weigh (w). she assumes the relationship between volume and weight is proportional.

which proportion could maddy use to model this situation?

a. w/2 = 7.5/5

b. w/7.5 = 5/2

solve the proportion to determine the weight of a 2 liter jug.

Answer

The Maddy uses the proportion for this situation be (a) .

Reason

Let us assume that the  weigh of a 2 liter jug of sports drink  be x .

As given

Maddy is carrying a 5 liter jug of sports drink that weighs 7.5 kg.

She have a 2 liter jug of sports drink .

Than

5 liter = 7.5 kg.

Now for the 2 liter jug of sports drink  .

Than  equation becomes

Or written as

solving

w = 3 kg

Therefore  3 kilograms a 2 liter jug of sports drink would weigh .

Option (a) is used .

a.

The weight of a 2 liter jug. = 3 kg

Step-by-step explanation:

Given: The weight of 5 liter jug of sports drink = 7.5 kg

Let w be the weight of 2 liter jug.

Since,  she assumes the relationship between volume and weight is proportional.

Then, by direct proportion, we have

Hence, Maddy use the proportion:

When we multiply 2 on both sides, we get

Hence, the weight of a 2 liter jug = 3 kg

the answer is d

the answer is in the first quadrant, which make the y-int positive.

since the dots are going down, therefore the correlation is negative

i hope it is right.

answer: cos [   arcsin (3/5) - arccos (1/2) ] =

step-by-step explanation: × = 3/5 = 0.6--> x = 36.87 and x = 180 - 36.87 = 143.13 deg

cos y = 1/2 --> y = +- 60 deg a. cos (x - y) = cos (143.13 - 60) = cos 83,13  

=

0.12

b. cos (36.87 - 60) = cos (-23.23) = 0.92