Lời giải:

a. $5\times (4+6x)=290$

$4+6x=290:5=58$
$6x=58-4=54$

$x=54:6=9$

b. $x\times 3,7+x\times 6,3=120$

$x\times (3,7+6,3)=120$

$x\times 10=120$

$x=120:10=12$

c. 

$(15\times 24-x):0,25=100:\frac{1}{4}=100:0,25$

$15\times 24-x=100$

$360-x=100$

$x=360-100=260$
 

d.

$128\times x-12\times x-16\times x=5208000$

$x\times (128-12-16)=5208000$

$x\times 100=5208000$
$x=5208000:100=52080$

e.

$5\times x+3,75\times x+1,25\times x=20$

$x\times (5+3,75+1,25)=20$
$x\times 10=20$

$x=20:10=2$

g.

$(84,6-2\times x):3,02=5,1$

$84,6-2\times x=5,1\times 3,02=15,402$
$2\times x=84,6-15,402=69,198$

$x=69,198:2=34,599$

2015 x 23 + 55 x 2015 + 11 x 2015 x 2

= 2015 x (23 + 55 + 11 x 2)

= 2015 x (23 + 55 + 22)

= 2015 x (78 + 22)

= 2015 x 100

= 201500

\(2015x23+55x2015+11x2015x2\)

\(=2015x\left(23+55+11x2\right)\)

\(=2015x\left(23+55+22\right)\)

\(=2015x100\)

\(=201500\)

giúp mình với ạ

cầu xin :((

Lời giải:
Chiều rộng hình hộp: $1,8\times \frac{1}{3}=0,6$ (m)

Chiều cao hình hộp: $0,432:1,8:0,6=0,4$ (m)

5.(2⁵ - 10) : 2³

= 5.22 : 8

= 110 : 8

= 13,75

Cả 4 đáp án đều sai

\(5.\left(2^5-10\right):2^3\\ =5.\left(32-10\right):8\\ =5.22:8\\ =110:8\\ =13,75\)

Vậy không có đáp án nào đúng

\(\left(-27\right)^5:32^3\)

\(=\left[\left(-3\right)^3\right]^5:\left(2^5\right)^3\)

\(=\left(-3\right)^{15}:2^{15}\)

\(=\left(-3:2\right)^{15}\)

\(=\left(-\dfrac{3}{2}\right)^{15}\)

\(\left(-27\right)^5\):\(32^3\)

=-14348907:32768

=-437,8938904

(0,8)⁵ : (0,4)⁶

= (4/5)⁵ : (2/5)⁶

= 1024/3125 : 64/15625

= 16 . 5

= 80

\(\left(0,8\right)^5:\left(0,4\right)^6\\ =\left(\dfrac{4}{5}\right)^5:\left(\dfrac{2}{5}\right)^6\\ =\dfrac{1024}{3125}:\dfrac{64}{15625}\\ =16.5\\ =80\)

\(\left(\dfrac{11}{4}\right)^{12}:\left(-\dfrac{11}{4}\right)^{11}\)

\(=\left(-\dfrac{11}{4}\right)^{12}:\left(-\dfrac{11}{4}\right)^{11}\)

\(=\left(-\dfrac{11}{4}\right)^{12-11}\)

\(=\left(-\dfrac{11}{4}\right)^1\)

\(=-\dfrac{11}{4}\)

(11/4)^12:(-11/4)^11

(3/7)² . (-7)⁴

= (3/7)² . 7⁴

= (3/7)² . 7² . 7²

= 9 . 49

= 441

\(\left(\dfrac{3}{7}\right)^2.\left(-7\right)^4\\ =\left(\dfrac{3}{7}\right)^2.7^4\\ =\left(\dfrac{3}{7}\right)^2.7^2.7^2\\ =9.49\\ =441\)

Bài 4

4a, 12,48 x 3,47 - 3,47 x 2,48

= 3,47 x ( 12,48 - 2,48)

= 3,47 x 10

= 34,7

4b, 128 x 68 + 16 x 256

= 128 x 68 + 16 x 2 x 128

= 128 x (68 + 32)

= 128 x 100

 12800

4c, (7,29 + 9,34 + 8,27) - (7,34 + 6,27 + 5,29)

= 7,29 + 9,34 + 8,27 - 7,34 - 6,27 - 5,29

= (7,29 - 5,29) + (9,34 - 7,34) + (8,27 - 6,27)

= 2 + 2 + 2

= 6