A motercycle can travel 60 miles per gallon. approximently how many gallons of fuel will the motercycle need to travel 40 km [1 mile = 1.6km]

a: 0.04
b: 0.08
c: 0.20
d: 0.42

D. 0.42

Step-by-step explanation:

First, convert 40 km to miles by dividing it by 1.6:

40/1.6

= 25

Create a proportion where x is the number of gallons the motorcycle will need to travel 40 km (25 miles):

=

60x = 25

x = 0.4166

Round this to the nearest hundredth:

x = 0.42

So, to travel 40 km, the motorcycle will need 0.42 gallons of fuel.

The correct answer is D. 0.42

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

addition

step-by-step explanation: