24 is divided into two parts such that 7 times the first part added to 5 times the second part makes 146. the first part is
a) 11 b) 13 c) 16 d ) 17

13

Step-by-step explanation:

Let the two parts are x and y

as per the question

x+y=24   -----------------(A)

Also 7 times first part (x) that is 7x ,

when added to

5 times second part (y ) that is 5y

it gives 146

Hence our second equation becomes

7x+5y=146  ------------ (B)

Now we have to solve these two equations (A) and (B) to find the values of x and y

now multiplying equation A with 5 and subtracting it from B

we get

2x=26

dividing both sides by 2 we get

x = 13

And hence our first part is 13

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5

its c