Let us assume that the number of alternative schools in the county are x in number.

It is given that the number of charter schools is 4 less than twice the number of alternative schools. So we can write, the number of charter schools is 4 less than twice of x. In equation form this can be written as:

Number of Charter Schools = 2x - 4

It is given that number of charter schools is 48. So we can write:

48 = 2x - 4
2x = 52
x = 26

x was the number of alternative schools. Therefore, there are 26 alternative schools in the county.

5 0

3 years ago

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I am thinking of a number. My number is between 20 and 30 My number and 12 have only one common factor. What number could I be t

zhannawk [14.2K]

Answer:

21, 22 and 26

Step-by-step explanation:

To answer this question first we need to know which are the factors of 12:

$12= 2^2(3)$

So, now, we need 3 numbers that are <u>between 20 and 30 and that only have one common factor with 12</u>, in other words, they need to have just a 2 or a 3 in their factorization.

Let's take number 21:

$21= (7)(3)$ , we can see that 21 only has a 3 and a prime so therefore it has only one common factor with 12

Now, let's take the number 22,

$22=11 (2)$ , thus since 22 has a 2 and a prime, it has only one common factor with 12.

Now, let's take the number 26

$26= 13 (2)$ , thus, since 26 has a 2 and a prime, it has only one common factor with 12.

Thus, the three possible answers are 21, 22 and 26

7 0

3 years ago