We have been given that the scale on a map is 1 cm:30 mi. The distance on the map between San Francisco, CA, and Chicago, IL, is 61.9 cm. We are asked to find the actual distance between San Francisco and Chicago.

We will use proportions to solve our given problem.

$\frac{\text{Actual distance}}{\text{Map distance}}=\frac{30\text{ miles}}{1\text{ cm}}$

Upon substituting map distance between San Francisco and Chicago, we will get:

$\frac{\text{Actual distance}}{61.9\text{ cm}}=\frac{30\text{ miles}}{1\text{ cm}}$

$\frac{\text{Actual distance}}{61.9\text{ cm}}\cdot 61.9\text{ cm}=\frac{30\text{ miles}}{1\text{ cm}}\cdot 61.9\text{ cm}$

$\text{Actual distance}=30\text{ miles}\cdot 61.9$

$\text{Actual distance}=1857\text{ miles}$

Therefore, the actual distance between San Francisco and Chicago is 1857 miles.

4 0

4 years ago

SOMEONE PLEASE HELP ME Geometry Lesson 1.1 Practice

otez555 [7]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Suppose that P(A) = 0.25 and P(B) = 0.40 . If P(A|B)=0.20 , what is P(B|A) ?

Ket [755]

Answer:

0.32

Step-by-step explanation:

Use of formula:

P(A and B) = P(A)*P(B|A) and
P(A and B) = P(B)*P(A|B)

According to above and based on given:

P(A)P(B|A) = P(B)P(A|B)
P(B|A) = P(A|B)*P(B)/P(A)
P(B|A) = 0.20*0.40/0.25 = 0.32

8 0

3 years ago

I need help with a chapter quiz

Lostsunrise [7]

Answer:

hjhjkjhhu

Step-by-step explanation:

7 0

3 years ago