The ratio of the numerator to the denominator of a fraction is 2 to 3. if both the numerator and the denominator are increased by 2, the fraction becomes 3/4. what is the original fraction? which of the following systems of equations can be used to solve the problem?
n + 4 = 3 and d + 5 = 4
3n - 2d = 0 and 4n + 2 = 3d + 2
3n = 2d and 4n + 8 = 3d + 6

3n = 2d and 4n + 8 = 3d + 6

Step-by-step explanation:

First we must solve this by cross multiplying:

3n = 2d3 (d + 2) = 4(n + 2) = > 3d + 6 = 4n + 8

then substitute d = 3/2n in the 2nd one:

9/2n - 4n = 2 = > 1/2 n = 2 = > n = 4

if n = 4

then d = 3/2*4 = 6.

So the original fraction was 4/6

Overall the answer is 3n = 2d and 4n + 8 = 3d + 6.

Please mark my answer the brainliest.

Have a nice day

step-by-step explanation:

5×5×5+2(8)÷2(2)+3(3)

15+16÷4+9

31÷13

do 31÷13 and u will get ur answer

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: