2 tìm X
[ 1 + 2 + 3 + 4 + 5 + 6 + ......+ 100 ] x X = 101000
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a) \(\frac{14}{5}\div x=\frac{13}{5}-\frac{7}{5}\)
\(\frac{14}{5}\div x=\frac{6}{5}\)
\(x=\frac{14}{5}\div\frac{6}{5}\)
\(x=\frac{7}{3}\)
b) \(\frac{1}{3}\cdot x+\frac{5}{6}\cdot x=\frac{12}{5}\)
\(\left(\frac{1}{3}+\frac{5}{6}\right)\cdot x=\frac{12}{5}\)
\(\frac{7}{6}\cdot x=\frac{12}{5}\)
\(x=\frac{12}{5}\div\frac{7}{6}\)
\(x=\frac{72}{35}\)
\(\frac{14}{5}\) : X = \(\frac{13}{5}\) - \(\frac{7}{5}\)
\(\frac{14}{5}\): X = \(\frac{6}{5}\)
X = \(\frac{14}{5}\) : \(\frac{6}{5}\) ( Tìm số chia)
X = \(\frac{7}{3}\)
\(\frac{1}{3}\) x X + \(\frac{5}{6}\) x X = \(\frac{12}{5}\)
( \(\frac{1}{3}\) + \(\frac{5}{6}\)) x X = \(\frac{12}{5}\)
\(\frac{7}{6}\) x X = \(\frac{12}{5}\)
X = \(\frac{12}{5}\) : \(\frac{7}{6}\) ( Tìm thừa số)
X = \(\frac{72}{35}\)
2/3 x 3/4 x 4/5 : 1/5 = 6/12 x 4/5 :1/5 = 24/60 :1/5 = 4/10 : 1/5 = 4/10 x 5/1 = 20/10 = 2
2/5 x 3/4 x 5/6 : 3/4 = 6/20 x 5/6 : 3/4 = 3/10 x 5/6 : 3/4 = 15/60 : 3/4 = 1/4 : 3/4 = 1/4 x 4/3 = 4/12 = 1/3
k cho mk nha!
\(\frac{2}{3}\times\frac{1}{5}+\frac{3}{10}\times\frac{2}{3}+\frac{4}{6}\times\frac{1}{2}\)
\(=\frac{2}{3}\times\frac{1}{5}+\frac{3}{10}\times\frac{2}{3}+\frac{2}{3}\times\frac{1}{2}\)
\(=\frac{2}{3}\times\left(\frac{1}{5}+\frac{3}{10}+\frac{1}{2}\right)\)
\(=\frac{2}{3}\times\frac{10}{10}\)
\(=\frac{2}{3}\)
a/ x2 + (y - 3)2 = 5 . Phai hieu bai toan yeu cau phan h so 5 thanh tong cua hai so chinh phuong. Chi co mot cach duy nhat 5 = 1 + 4 Nhu vay \(x^2+\left(y-3\right)^2=5\Leftrightarrow\orbr{\begin{cases}x^2=1;\left(y-3\right)^2=4\\x^2=4;\left(y-3\right)^2=1\end{cases}}.\) cac ban giai tiep nhe.Co kho gi nua dau. b/ 3(x-1)2 + y2 = 6 . Phai hiai toan yeu cau ta s 6 thanh tong hai sduong, trong do co mot so chia het cho 3. Co cac truong hop sau: - T/h 1: 3(x-1)2 = 0 Loai vi khi do y2 = 6, khong co gia tr nguyen y nao. - T/h 2: 3(x-1)2 = 3 thi kh do y2 = 3, khong co gia tri nguyen nao cua y thoa man. T/h nay cung loai. - T/h 3: 3(x-1)2 = 6 tuc la (x-1)2 = 2, khong co gia tri nguyen nao cua x thoa man, T/h nay cung bi loai. Nhu vay: Khong co cap so nguyen (a, y) nao thoa man yeu cau bai ra.
3 x \(\frac{4}{11}\) = \(\frac{3}{1}\) x \(\frac{4}{11}\) = \(\frac{12}{11}\)
1 : \(\frac{5}{4}\) = \(\frac{1\times4}{5}\) = \(\frac{4}{5}\)
\(\frac{4}{5}\) x \(\frac{6}{7}\) + \(\frac{2}{3}\) = \(\frac{24}{35}\) + \(\frac{2}{3}\) = \(\frac{142}{105}\)
\(\frac{3}{4}\) + \(\frac{1}{2}\) : \(\frac{5}{6}\) = \(\frac{3}{4}\) + \(\frac{1}{2}\) x \(\frac{6}{5}\) = \(\frac{3}{4}\)+ \(\frac{6}{10}\) \(\frac{27}{20}\)
\(\frac{3}{4}\)+ \(\frac{1}{2}\) = \(\frac{3}{4}\) + \(\frac{2}{4}\)= \(\frac{5}{4}\)
a; 60 \(\times\) (\(\dfrac{7}{12}\) + \(\dfrac{4}{15}\))
= 60 \(\times\) \(\dfrac{7}{12}\) + 60 \(\times\) \(\dfrac{4}{15}\)
= 35 + 16
= 51
Có số các số : 100 - 1 + 1=100(số)
Có số cặp : 100 :2 =50(cặp)
Tổng 1 cặp : 100 + 1 = 101 (đơn vị )
Tổng các số trong ngoặc : 101 x 50 =5050 (đơn vị)
X là : 101000 : 5050 = 20
Ta có;
\(\left(1+2+3+.....+100\right)\times x=101000\)
\(x=101000\div\left(1+2+3+4+....+100\right)\)
\(x=101000\div\frac{101\times100}{2}\)
\(x=101000\div5050\)
\(x=20\)