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AH
Akai Haruma
Giáo viên
13 tháng 4 2024

Lời giải:

Gọi độ dài quãng đường lên dốc là $a$ (km), quãng đường xuống dốc là $b$ km, quãng đường bằng là $c$ km

Độ dài quãng đường $AB$ là: $a+b+c$ (km) 

Thời gian đi: $\frac{a}{3}+\frac{b}{6}+\frac{c}{4}$ (giờ)

Thời gian về: $\frac{c}{4}+\frac{b}{3}+\frac{c}{6}$ (giờ)

Tổng thời gian đi lẫn về:

$\frac{a}{3}+\frac{b}{6}+\frac{c}{4}+\frac{c}{4}+\frac{b}{3}+\frac{c}{6}=5$

$a\times (\frac{1}{3}+\frac{1}{6})+b\times (\frac{1}{6}+\frac{1}{3})+c\times (\frac{1}{4}+\frac{1}{4})=5$

$a\times \frac{1}{2}+b\times \frac{1}{2}+c\times \frac{1}{2}=5$

$\frac{1}{2}\times (a+b+c)=5$

$a+b+c=5:\frac{1}{2}=10$ (km)

Vậy độ dài quãng đường AB là $10$ km.

12 tháng 4 2024

Lúc bạn đăng câu hỏi là bạn đang ở trên diễn đàn rồi đó.

Bạn vào hỏi đáp thì đó là diễn đàn mà.

cảm ơn ạ

 

12 tháng 4 2024

\(\dfrac{9}{5}:\dfrac{7}{6}+\dfrac{3}{2}:\dfrac{7}{6}-\dfrac{8}{5}\times\dfrac{6}{7}\\ =\dfrac{9}{5}\times\dfrac{6}{7}+\dfrac{3}{2}\times\dfrac{6}{7}-\dfrac{8}{5}\times\dfrac{6}{7}\\ =\dfrac{6}{7}\times\left(\dfrac{9}{5}+\dfrac{3}{2}-\dfrac{8}{5}\right)\\ =\dfrac{6}{7}\times\dfrac{17}{10}\\ =\dfrac{51}{35}.\)

12 tháng 4 2024

\(\dfrac{9}{5}\) : \(\dfrac{7}{6}\) + \(\dfrac{3}{2}\) : \(\dfrac{7}{6}\) - \(\dfrac{8}{5}\) x \(\dfrac{6}{7}\)

\(\dfrac{9}{5}\times\dfrac{6}{7}+\dfrac{3}{2}\times\dfrac{6}{7}\) - \(\dfrac{8}{5}\times\dfrac{6}{7}\)

\(\dfrac{6}{7}\times\) (\(\dfrac{9}{5}\) + \(\dfrac{3}{2}\) - \(\dfrac{8}{5}\))

\(\dfrac{6}{7}\) x (\(\dfrac{9}{5}\) - \(\dfrac{8}{5}+\dfrac{3}{2}\))

=  \(\dfrac{6}{7}\) x (\(\dfrac{1}{5}\) + \(\dfrac{3}{2}\))

 = \(\dfrac{6}{7}\) x \(\dfrac{17}{10}\)

\(\dfrac{51}{35}\)

12 tháng 4 2024

9/12 : 6 + 5/12 : 6

= (9/12 + 5/12) : 6

= 7/6 : 6

= 7/36

\(\dfrac{9}{12}:6+\dfrac{5}{12}:6\)

\(=\left(\dfrac{9}{12}+\dfrac{5}{12}\right):6=\dfrac{14}{12}:6=\dfrac{14}{72}=\dfrac{7}{36}\)

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1
21 tháng 4 2024

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2
14 tháng 4 2024

????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????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AH
Akai Haruma
Giáo viên
11 tháng 4 2024

Bài 5:

Thể tích hình lập phương lớn:

$196:5\times 8=313,6$ (cm3)

 

AH
Akai Haruma
Giáo viên
11 tháng 4 2024

Bài 6:

Thời gian ô tô đi quãng đường AB (không kể thời gian nghỉ):

15 giờ 57 phút - 10 giờ 35 phút - 1 giờ 22 phút = 4 giờ

Vận tốc của ô tô là:

$180:4=45$ (km/h)

11 tháng 4 2024

Đây bạn nhé!

11 tháng 4 2024

Em chỉ con chuột vào tên người muốn kết bạn rồi nhấn vào biểu tượng có hình người là được em nhé.

AH
Akai Haruma
Giáo viên
11 tháng 4 2024

Lời giải:

$P=\frac{1}{\frac{2\times 3}{2}}+\frac{1}{\frac{3\times 4}{2}}+\frac{1}{\frac{4\times 5}{2}}+....+\frac{1}{\frac{2023\times 2024}{2}}$

$=2\times (\frac{1}{2\times 3}+\frac{1}{3\times 4}+\frac{1}{4\times 5}+...+\frac{1}{2023\times 2024})$

$=2\times (\frac{3-2}{2\times 3}+\frac{4-3}{3\times 4}+\frac{5-4}{4\times 5}+...+\frac{2024-2023}{2023\times 2024})$

$=2\times (\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{2023}-\frac{1}{2024})$

$=2\times (\frac{1}{2}-\frac{1}{2024})=\frac{1011}{1012}$