The distance between the earth and the moon is about 380,000 km. the radius of the earth is about 6,400 km. a. express the earth-moon distance in units of earth radil. show your work. b. express the earth-moon distance in units of lunar radii. show your work.

a) 59.375 Earth radii.

b) 237.5 Moon radii.

Step-by-step explanation:

Given : The distance between the Earth and the Moon is about 380,000 km. The radius of the Earth is about 6,400 km.

To find :

a. Express the Earth-Moon distance in units of Earth radii.

b. Express the Earth-Moon distance in units of Lunar radii.

Solution :

The radius of the Earth is about 6,400 km.

Moon is nearly th size of  earth.

So, The radius of the moon is

The distance between the Earth and the Moon is about 380,000 km.

a) Earth-Moon distance in units of Earth radii is given by

Earth radii.

b) Earth-Moon distance in units of Moon radii is given by

Moon radii.

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let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation: