Question

2,3 : 23/4 = 5x: 25/4​

Answer 1

Ответ:

$2,3:23/4=5x:25/4\\2,3*4/23=5x*4/25\\4/10=4/5x\\x=4/10:4/5\\x=4/10*5/4=1/2\\x=1/2=0.5$

Пошаговое объяснение:

Answer 2

To solve for 'x' in the proportion:

2/3 = 23/4 / (5x/25/4)

First, simplify the right-hand side by dividing the fractions:

2/3 = (23/4) / (5x / 25/4)

Now, let's find the reciprocal of 25/4, which is 4/25. So, the equation becomes:

2/3 = (23/4) / (5x * 4/25)

Next, multiply both sides of the equation by (5x * 4/25) to isolate 'x':

(5x * 4/25) * (2/3) = 23/4

Now, multiply the fractions:

(10x/75) * (4/25) = 23/4

Now, simplify each side:

(4/25) * (10x/75) = 23/4

(40x/1875) = 23/4

To solve for 'x', multiply both sides by 1875/40:

x = (23/4) * (1875/40)

x = (23/4) * (1875/40)

Now, calculate the value of 'x':

x = (23 * 1875) / (4 * 40)

x = 42675 / 160

x = 266.71875

So, the value of 'x' is approximately 266.72.