Question

Решите пропорцией: 35:x=8:24 (x-2):5=2 1/2 : 1/2 11:20=2 1/5 : (2x) 20 баллов!

Answer 1

35:х=8:24
8х=35•24
8х=840
х=840:8
х=105

(х-2):5=2 1/2:1/2
(х-2)•1/2=5•2 1/2
1/2х-1=12,5
1/2х=12,5+1
1/2х=13,5
х=13,5:1/2
х=27

11:20=2 1/5:(2х)
11•2х=20•2 1/5
22х=44
х=44:22
х=2

Answer 2

1. 35:x=8:24

To solve this proportion, we can cross-multiply:

35 * 24 = 8 * x

840 = 8x

x = 105

Therefore, the solution is x = 105.

2. (x-2):5=2 1/2 : 1/2

We can start by converting the mixed number on the right-hand side to an improper fraction:

2 1/2 = 5/2

Then, we can cross-multiply:

2(5/2) = (x-2)(1/2)

5 = (x-2)/2

Multiplying both sides by 2, we get:

10 = x-2

Adding 2 to both sides, we get:

x = 12

Therefore, the solution is x = 12.

3. 11:20=2 1/5 : (2x)

We can start by converting the mixed number on the right-hand side to an improper fraction:

2 1/5 = 11/5

Then, we can cross-multiply:

11(2x) = 20(11/5)

22x = 44

Dividing both sides by 22, we get:

x = 2

Therefore, the solution is x = 2.

Overall, the solutions are:

x = 105

x = 12

x = 2

And each of these values satisfies its corresponding proportion.