Answer:
- digits used once: 12
- repeated digits: 128
Step-by-step explanation:
In order for a number to be divisible by 4, its last two digits must be divisible by 4. This will be the case if either of these conditions holds:
- the ones digit is an even multiple of 2, and the tens digit is even
- the ones digit is an odd multiple of 2, and the tens digit is odd.
We must count the ways these conditions can be met with the given digits.
__
Since we only have even numbers to work with, the ones digit must be an even multiple of 2: 4 or 8. (The tens digit cannot be odd.) The digits 4 and 8 comprise half of the available digits, so half of all possible numbers made from these digits will be divisible by 4.
<h3>digits used once</h3>
If the numbers must use each digit exactly once, there will be 4! = 24 of them. 24/2 = 12 of these 4-digit numbers will be divisible by 4.
<h3>repeated digits</h3>
Each of the four digits can have any of four values, so there will be 4^4 = 256 possible 4-digit numbers. Of these, 256/2 = 128 will be divisible by 4.
Answer:
reflection from the x-axis
Answer:
45/28
Step-by-step explanation:
Convert them to mixed fractions
(2 * 4 + 1) / 4 ÷ (1 * 5 + 2) / 5
8 + 1 / 4 ÷ 5 + 2 / 5
9/4 ÷ 7/5
Flip the second fraction and flip the sign - to multiply.
9/4 × 5/7
9 × 5 = 45
4 × 7 = 28
45/28
This could be left as a fraction or converted to a number:
1.60714285714
Answer:The perimeter =12w
Step-by-step explanation:
Let the width represent W and Length represent L
Length= 5 x width
L=5W
W=W
Since perimeter =2(L+w)
Substitute for L=5w
=2(5w+w)
=2(6w)
=12w
Answer: X = 8.67
Step-by-step explanation:
