Answer:
Step-by-step explanation:
<em>See attachment for number line</em>
From the attachment, we have the following details:
The first shade of blue covered 10 blocks
The second shade of blue covered 5 further blocks which totaled to 15
So, the fraction of the blue blocks is:
Divide fraction by 5/5
Also from the attachment:
The shaded block stopped at the fraction:
So, the expression that represents this scenario is:
<em>Option (c) answers the question</em>
5(x+4)+16
5x+20+16
And then the solution is 5x+36
ANSWER
EXPLANATION
Recall that,
That is why
is equivalent to
This implies that,
This is the same as,
When we are dividing by
we move the decimal point backwards two times.
This implies that,
800 different sets of digits
Since the first digit is a factor of 20, the factors of 20 are 1,2,4,5,10,20. We only need the single digit factors which are 1,2,4 and 5. These 4 numbers can be permuted in 1 way for the first digit, so we have ⁴P₁.
For the second digit, we have 10 digits permuted in 1 way, ¹⁰P₁ and also for the third digit, we have 10 digits permuted in 1 way, ¹⁰P₁ and for the last digit, which is divisible by 5, it is either a 0 or 5, so we have two digits permuted in 1 way, ²P₁.
So, the number of different 4 digit number that Zara'2 4-digit PIN code could be is ⁴P₁ × ¹⁰P₁ × ¹⁰P₁ × ²P₁ = 4 × 10 × 10 × 2 = 800 different sets of digits
