Question

1) (2x÷1/2x) × 2 = 8 2) 0,5 - 5 + 5/2 × = 7 3) 12 яблок - составляет 5% мешка, сколько всего яблок в мешке?

Answer 1

1) (2x*2)*2=8 ведь разделить на 1/2- это умножить на перевёрнутую дробь, значит, умножить на 2
2х*4=8
2х=2
Х=1

2) 0,5-5+ 5/2х = 7
5/2х = 7+5-0,5
5/2х= 12-0,5
5/2х= 11,5 |*2/5
Х=115/10 * 2/5
Х=23/2*2/5
Х=23/5= 4,6

3) 12 - 5%
Х - 100%
Х= 12*100/5= 240

Answer 2

1. Let's solve the first equation step by step:

(2x ÷ 1/2x) × 2 = 8

First, simplify the expression inside the parentheses:

2x ÷ (1/2x) = 2x ÷ (2/x) = 2x * (x/2) = x^2

Now, substitute x^2 back into the equation:

x^2 × 2 = 8

Simplify the left side:

2x^2 = 8

Divide both sides by 2:

x^2 = 4

Take the square root of both sides (considering both positive and negative roots):

x = ±2

So, the solutions are x = 2 and x = -2.

2. Now, let's solve the second equation step by step:

0.5 - 5 + 5/2 × = 7

There seems to be a missing value at the end of the equation after the multiplication sign. Let's assume the equation is:

0.5 - 5 + 5/2 × x = 7

Now, solve for x:

0.5 - 5 + 5/2 × x = 7

Combine the terms on the left side:

-4.5 + 5/2 × x = 7

Subtract -4.5 from both sides:

5/2 × x = 11.5

Now, isolate x by dividing both sides by 5/2:

x = 11.5 / (5/2)

x = 11.5 * (2/5)

x = 4.6

So, the value of x is 4.6.

3. The third question is in Russian and seems to be asking about apples in a bag. The question appears to be: "12 яблок - составляет 5% мешка, сколько всего яблок в мешке?" This can be translated to: "12 apples constitute 5% of the bag. How many apples are there in total in the bag?"

To solve this, you can set up a proportion:

12 apples / Total apples in the bag = 5% / 100%

5% is the same as 0.05 in decimal form.

12 / Total = 0.05

Now, solve for the total number of apples (Total):

Total = 12 / 0.05

Total = 240

So, there are 240 apples in the bag.