Here's a way to do it.
Let 4e +2 = 5n +1 . . . . . . for some integer n
Then e = (5n -1)/4 = n + (n -1)/4
We want (n-1)/4 to be an integer, so let it be integer m.
... m = (n -1)/4
... 4m = n -1
... 4m +1 = n
Substituting this into our expression for e gives
... e = (5(4m+1) -1)/4 = (20m +4)/4 = 5m +1
e = 5m+1 for any integer m
The GCF of 40 16 and 24 is 8
<h3>How to determine the GCF of 40 16 and 24?</h3>
The numbers are given as:
40 16 and 24
Start by listing out the factors of the numbers:
This is done as follows:
- The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40
- The factors of 16 are: 1, 2, 4, 8, 16
- The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24
Then the greatest common factor in the above list is 8.
Hence, the GCF of 40 16 and 24 is 8
Read more about GCF at:
brainly.com/question/219464
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Step-by-step explanation: We can write a ratio using the word "to", using a colon, or using a fraction bar.
Here, since we want our ratio in simplest form,
I would use a fraction bar.
Now, the problem asks us to compare
the number of boys to the number of girls.
We know that there are 12 boys
and we know that there are 15 girls.
So our ratio is 12/15.
However, this can be reduced to 4/5.
Answer:
3/2 or 1.5
Step-by-step explanation:
Multiply 3/5 by 2 to make the denominator of both fractions equal.
2 x 3/5 = 6/10
Now that the denominators are equal, add the two fractions together
6/10 + 9/10 = 15/10 = 3/2 or 1.5
<span>Simplifying
3x + -8 = 31
Reorder the terms:
-8 + 3x = 31
Solving
-8 + 3x = 31
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '8' to each side of the equation.
-8 + 8 + 3x = 31 + 8
Combine like terms: -8 + 8 = 0
0 + 3x = 31 + 8
3x = 31 + 8
Combine like terms: 31 + 8 = 39
3x = 39
Divide each side by '3'.
x = 13
Simplifying
x = 13</span>
