anonymous
  • anonymous
if janet walks 1.5 km on Monday night how many cm. map shows 1;30000
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
mathstudent55
  • mathstudent55
1:30,000 means that for each 1 cm of map distance, there are 30,000 cm of real distance.
anonymous
  • anonymous
okay well i'm not totally sure here but if its asking how many cm did she walk on monday night then the answer would be 150000 because theirs 100000 cm every 1 km
mathstudent55
  • mathstudent55
\(\dfrac{real~distance}{map~distance} ~~~~~~~\dfrac{1.5~km}{x} = \dfrac{30,000~cm}{1~cm} \)

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

mathstudent55
  • mathstudent55
We are looking for a map distance, so x has to be in cm. Since the denominator of the second fraction is in cm, the second denominator stays as is. We need to have the two numerators in the same units. The units don't have to be cm or km. They can be any units as long as both numerators have the same units. An easy unit to use is meters. Let's keep this same proportion, but change both numerators to meters. \(\dfrac{1.5~km \times \frac{1000~m}{1~km}}{x} = \dfrac{30,000~cm \times \frac{1~m}{100~cm}}{1~cm} \) \(\dfrac{1500~m}{x} = \dfrac{300~m}{1~cm} \) Now that we have the same units of real distance and the same units for map distance, we just solve the proportion. \(x = \dfrac{1500~m \times 1~cm}{300~m} \) \(x = 5 ~cm\)
mathstudent55
  • mathstudent55
Let's check our answer. We got 5 cm map distance. She walked 1.5 km. We get 5 cm on the map. Since the scale is 1:30,000, 1 cm on the map is 30,000 cm real distance, so 5 cm on the map = 5 * 30,000 cm real distance. 5* 30,000 = 150,000 cm \(150,000 ~cm \times \dfrac{1~m}{100~cm} \times \dfrac{1~km}{1000~m} = 1.5~km \) We do get 1.5 km real distance from 5 cm map distance, so our answer is correct.

Looking for something else?

Not the answer you are looking for? Search for more explanations.