Question

9:(24 1/2-2 1/2x)=3/4

Answer 1

Ответ:3*(24 1/2-2 1/2*х)=4*9=36 или 24,5-2,5*х=36/3=12 или 2,5*х=24,5-12=12,5 или х=12,5/2,5=5

Ответ х=5.

Пошаговое объяснение:

Answer 2

Відповідь:

5

Покрокове пояснення:

9:(24 1/2-2 1/2x)=3/4

9:(24,5-2,5х)=3/4

24,5-2,5х=9:3/4

24,5-2,5х=12

2,5х=24,5-12

2,5х=12,5

х=12,5:2,5

х=5

Answer 3

To solve the equation, we'll follow these steps:

Step 1: Perform the operations inside the parentheses. Step 2: Simplify the expression on the left-hand side. Step 3: Solve for x.

Let's start with Step 1:

9:(24 1/2 - 2 1/2x) = 3/4

Step 2:

First, let's convert the mixed numbers to improper fractions:

24 1/2 = 49/2 2 1/2 = 5/2

Now the equation becomes:

9:(49/2 - 5/2x) = 3/4

To simplify further, find a common denominator for (49/2 - 5/2x):

Common denominator = 2

Now, the equation becomes:

9:((49 - 5x)/2) = 3/4

To eliminate the fraction on the left-hand side, we can multiply both sides by 2:

2 * 9: (49 - 5x) = 2 * 3/4

18:(49 - 5x) = 3/2

Step 3:

Next, we can cross-multiply:

18 * 2 = 3 * (49 - 5x)

36 = 147 - 15x

Now, isolate x by bringing the constant term to the other side:

15x = 147 - 36

15x = 111

Finally, solve for x by dividing both sides by 15:

x = 111/15

Now, simplify the fraction:

x = 7 4/15

So the value of x that satisfies the equation is 7 4/15.