Answer:
The scale used on his map is <u>150 miles : 2 inches</u>.
Step-by-step explanation:
Given:
Ted knows the actual distance between two cities is 150 miles. His map shows a distance of 2 inches between these cities.
Now, to find the scale Ted used on his map.
The actual distance Ted know between two cities = 150 miles.
The distance on map between these cities = 2 inches.
So, to get the scale used on his map:



Therefore, the scale used on his map is 150 miles : 2 inches.
ASA..........................
Given:
The number is
.
To find:
The a+bi form of given number.
Solution:
We have,

It can be written as

![[\because \sqrt{ab}=\sqrt{a}\sqrt{b}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Csqrt%7Bab%7D%3D%5Csqrt%7Ba%7D%5Csqrt%7Bb%7D%5D)
![[\because \sqrt{-1}=i]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Csqrt%7B-1%7D%3Di%5D)

Here, real part is missing. So, it can be taken as 0.

So, a = 0 and
.
Therefore, the a+bi form of given number is
.
Answer:
The value of 2 in the first digit is 100,000 times greater than the value of 2 in the second digit
Step-by-step explanation:
Firstly, we need to know the value of the 2 in 234,567 and that is 200,000
The value of the 2 in 765,432 is simply 2
So the number of times the value of the first 2 is greater than the value of the second 2 is;
200,000/2 = 100,000
So the value of 2 in the first digit is 100,000 times greater than the value of 2 in the second digit
Answer:
The answer is x = -17/6.
Step-by-step explanation:
Given:
5 1/3 + x = 2 1/2 . Using least common denominator.
Now, to solve the equation:


Subtracting both sides from 16/3 we get:

Now, the least common denominator of 2 and 3 is 6.
So, we using this we calculate:


Therefore, the answer is x = -17/6.