Question

1. Розв’яжіть рівняння: 1) 4896 : х = 48; 2) 8х + 2х = 250; 3) 89 + 4х =145; 4) (х + 475) – 292 = 397; 5) (х + 27) : 25 = 35

Answer 1

Ответ:

1)

$x = 102$

2)

$x = 25$

3)

$x = 14$

4)

$x = 214$

5)

$x = 848$

Пошаговое объяснение:

1)

$4896 \div x = 48$

$\frac{4896}{x} = 48$

$4896 = 48x$

$48x = 4896$

$x = 4896 \div 48$

$x = 102$

Проверка:

$\frac{4896}{102} = 48$

$48 = 48$

$48 - 48 = 0$

$0 = 0$

2)

$8x + 2x = 250$

$10x = 250$

$x = 250 \div 10$

$x = 25$

Проверка:

$8 \times 25 + 2 \times 25 = 250$

$200 + 50 = 250$

$250 = 250$

$250 - 250 = 0$

$0 = 0$

3)

$89 + 4x = 145$

$4x = 145 - 89$

$4x = 56$

$x = 56 \div 4$

$x = 14$

Проверка:

$89 + 4 \times 14 = 145$

$89 + 56 = 145$

$145 = 145$

$145 - 145 = 0$

$0 = 0$

4)

$(x + 475) - 292 = 397$

$x + 475 - 292 = 397$

$x = 397 - 475 + 292$

$x = 214$

Проверка:

$(214 + 475) - 292 = 397$

$214 + 475 - 292 = 397$

$397 = 397$

$397 - 397 = 0$

$0 = 0$

5)

$(x + 27 )\div 25 = 35$

$x + 27 = 35 \times 25$

$x + 27 = 875$

$x = 875 - 27$

$x = 848$

Проверка:

$(848 + 27) \div 25 = 35$

$875 \div 25 = 35$

$35 = 35$

$35 - 35 = 0$

$0 = 0$

Answer 2

1. $\frac{4896}{x} =48|*x\\4986=48x|:48\\102=x$

2. 10х=250| : 10

х=25

3. 4x=145-89| :4

x=14

4. x=397+292-475

x= 689-475

x=214

5. $\frac{x+27}{25} =35| *25\\x+27 =875\\x=875-27\\x=848$

Answer 3

1) 4896 ÷ x = 48 To solve for x, we can multiply both sides by x to get: 4896 = 48x Then divide both sides by 48 to get: x = 102

2) 8x + 2x = 250 Combine like terms: 10x = 250 Divide both sides by 10 to get: x = 25

3) 89 + 4x = 145 Subtract 89 from both sides: 4x = 145 - 89 4x = 56 Divide both sides by 4 to get: x = 14

4) (x + 475) - 292 = 397 Add 292 to both sides: x + 475 = 689 Subtract 475 from both sides: x = 214

5) (x + 27) ÷ 25 = 35 Multiply both sides by 25: x + 27 = 875 Subtract 27 from both sides: x = 848