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Klio2033 [76]
3 years ago
11

There are 2 different maps of California. The scale on the first map is 1cm to 20km. The distance from Fresno to San Francisco i

s 15km. The scale on the second map is 1 cm to 100 km. What is the distance from Fresno to San Francisco on the second map?
Mathematics
1 answer:
Oksi-84 [34.3K]3 years ago
8 0

Answer:

75 km

Step-by-step explanation:

Given the following :

Scale on first map = 1cm to 20 km

Distance fromFresno to San Francisco = 15km on first map

Scale on 2nd map = 1cm to 100 km

1cm / 20km = 15km

Let of Distance from Fresno to San Francisco on 2nd map = d

1cm / 100km = d

1 : 20 = 15

1 : 100 = d

20/ 100 = 15/d

1/5 = 15/d

d = 15 * 5

d = 75 km

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(25\times9)+(75\times9)=9(25+75)


(25\times9)+(75\times9)=9(100)


(25\times9)+(75\times9)=900


EXPLANATION


According to the distributive property,

(a\times b)+(a\times c)=a(b+c)

This implies that,

(25\times9)+(75\times9)=9(25+75)


(25\times9)+(75\times9)=9(100)

The Right Hand Side of the equation now has 2 factors.


We solve now to obtain;


(25\times9)+(75\times9)=900



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