Any solution x will mod 23 will also have x+23n as a solution, for some integer n. Since 900/23 = 39 3/23, we know there are 39 or 40 three-digit integers of this form.

As it happens, 100 is the smallest 3-digit solution. So, there are 40 three-digit numbers that are of the form 100 +23n, hence 40 solutions to the equation.

_____

The equation reduces, mod 23, to ...

10x = 11

Its solutions are x = 23n +8.

3 0

3 years ago

Henry was thinking of a number Henry halves it and gets a an answer of 12.4 what was the original number

jeka94

Answer: 24.8
Explanation: If Henry is halving a number, that means he's dividing it by 2, getting two halves. You would get the original number by undoing that division, or multiplying the product by 2.
2 x 12.4 = 24.8

3 0

2 years ago

∠EFG and ∠GFH are a linear pair, m∠EFG=3n+19, and m∠GFH=55+33 What are m∠EFG and m∠GFH?

romanna [79]

A linear pair is a pair of angles that form a straight line and are therefore, equal to 180 degrees

3n + 19 + 55 + 33 = 180
3n + 107 = 180
3n = 180 - 107
3n = 73
n = 73/3

so < EFG = 3n + 19 = 3(73/3) + 19 = 73 + 19 = 92
and < GFH = 55 + 33 = 88

5 0

3 years ago

Plot 8i in the complex plane

dusya [7]

Answer:

The coordinates of 8i on the a complex plane are

(0, 8i)

4 0

2 years ago

A chef at a restaurant cooks 90 meals in one day. 35% of the 90 meals were vegetarian. How many meals were vegetarian?​

A chef at a restaurant cooks 90 meals in one day. 35% of the 90 meals were vegetarian. How many meals were vegetarian?