Question

1) (x - 2,1 ) : 3 3/5 = 2 1/12 2) 4 5/7 • (x+0,28) = 1 4/7 ДАЮ 20 БАЛЛОВ!

Answer 1

1) (x - 2,1 ) : 3 3/5 = 2 1/12

х-2.1=2 1/12*3 3/5

x-2.1=25/12*18/5

x-2.1=15/2

х-2.1=7.5

х=7.5+2.1

х=9.6

2) 4 5/7 • (x+0,28) = 1 4/7

х+0.28=1 4/7:4 5/7

x+0.28=11/7*7/33

x+0.28=1/3

x=1/3-0.28=1/3-7/25

x=25/75-21/25

x=4/25=0.16

Answer 2

To solve the equations, we'll start with each one:

1. (x - 2)/3 3/5 = 2 1/12

To solve for x, we need to isolate it on one side of the equation. Let's convert all the mixed numbers to improper fractions first:

3 3/5 = (5 * 3 + 3) / 5 = 18/5 2 1/12 = (12 * 2 + 1) / 12 = 25/12

Now, the equation becomes:

(x - 2) / (18/5) = 25/12

To get rid of the fraction in the denominator, we can multiply both sides by the reciprocal of (18/5), which is (5/18):

(x - 2) * (5/18) = 25/12

Now, distribute the multiplication:

5/18 * x - 2 * 5/18 = 25/12

Next, add 2 * 5/18 to both sides to isolate x:

5/18 * x = 25/12 + 2 * 5/18 5/18 * x = 25/12 + 5/9

Now, find the common denominator and add the fractions:

5/18 * x = (25 * 3 + 5) / 36 5/18 * x = 80 / 36

Now, solve for x by multiplying both sides by the reciprocal of 5/18, which is 18/5:

x = (80 / 36) * (18/5) x = (80 * 18) / (36 * 5) x = 1440 / 180 x = 8

So, the solution for x is x = 8.

2. 4 5/7 • (x + 0.28) = 1 4/7

Let's first convert the mixed numbers to improper fractions:

4 5/7 = (7 * 4 + 5) / 7 = 33/7 1 4/7 = (7 * 1 + 4) / 7 = 11/7

The equation becomes:

(33/7) * (x + 0.28) = 11/7

To eliminate the fraction in front of (x + 0.28), divide both sides by (33/7):

(x + 0.28) = (11/7) / (33/7)

Since dividing by a fraction is the same as multiplying by its reciprocal, we get:

(x + 0.28) = (11/7) * (7/33)

Now, the (7/7) cancels out, leaving us with:

(x + 0.28) = 11/33

To solve for x, subtract 0.28 from both sides:

x = 11/33 - 0.28

To make the subtraction possible, we need a common denominator. Convert 0.28 to a fraction with a denominator of 33:

0.28 = 28/100 = 7/25 (when divided by 4)

Now, the equation becomes:

x = 11/33 - 7/25

To add or subtract fractions, we need a common denominator, which is 33 * 25 = 825:

x = (11 * 25 - 7 * 33) / 825 x = (275 - 231) / 825 x = 44 / 825

The fraction can be simplified by dividing both numerator and denominator by their greatest common divisor, which is 11:

x = 4 / 75

So, the solution for x is x = 4/75.

You will get 20 points for this! If you have any more math problems or other questions, feel free to ask!