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\(\left(y+1\right)+\left(y+2\right)+\left(y+3\right)+...+\left(y+99\right)=2550\)
Có \(\left(99-1\right):1+1=99\)cặp
\(\left(y+y+y+...+y\right)+\left(1+2+3+...+99\right)=2550\)
\(99y+\left[\left(99+1\right)\times99:2\right]=2550\)
\(99y+4590=2550\)
\(99y=2550-4590\)
\(99y=-2040\)
\(y=\frac{-680}{33}\)
Đề hình như sai bạn ơi
#)Giải :
\(\left(y+1\right)+\left(y+2\right)+\left(y+3\right)+...+\left(y+99\right)=2550\)
\(\Rightarrow\left(y+y+y+...+y\right)+\left(1+2+3+...+99\right)=2550\)
\(\Rightarrow99y+\frac{\left(99+1\right).99}{2}=2550\)
\(\Rightarrow99y+4950=2550\)
\(\Leftrightarrow99y=-2400\)
\(\Leftrightarrow y=-24,2424242424.................\approx-24,24\)
P/s : Có j đó sai sai :v đề lỗi ak ?
x + y = 36 (1)
2x - y = 12
Áp dụng phương pháp cộng đại số
<=> x + 2x = 36 + 12
<=> 3x = 48
<=> x = 16
Thế x = 16 vào pt (1) => y = 20
Ta có : y x\(\frac{5}{8}+\)y x \(\frac{3}{8}\)+ y x 9=37,5
=>y x( \(\frac{5}{8}+\frac{3}{8}\)) + y x 9=37,5
=>y x 1+ y x 9 =37,5
=>y x (1+9) =37,5
=> y x 10=37,5
=> y=3,75
Vậy y cần tìm là 3,75
hiệu số phần bằng nhau là : 3 - 2 = 1
y là : 72 : 1 x 2 = 144
x là : 144 + 72 = 216
ĐS /...........................
Hiệu số phần bằng nhau là:
3 - 2 = 1 (phần)
Số bé x là:
72 : 1 x 3 = 216
Số lớn y là :
216 + 72 = 288
ĐS: x = 216 và y = 288
\(\frac{2}{3}\cdot y-\frac{12}{3}:\left(\frac{2}{3}+\frac{2}{15}+\frac{2}{35}+\frac{2}{63}+\frac{2}{99}+\frac{2}{143}\right)=\frac{1}{3}\)\(\frac{1}{3}\)
\(\frac{2}{3}\cdot y-4:\left(\frac{2}{1\cdot3}+\frac{2}{3\cdot5}+\frac{2}{5\cdot7}+\frac{2}{7\cdot9}+\frac{2}{9\cdot11}+\frac{2}{11\cdot13}\right)=\frac{1}{3}\)
\(\frac{2}{3}\cdot y-4:\left(\frac{3-1}{1\cdot3}+\frac{5-3}{3\cdot5}+\frac{7-5}{5\cdot7}+\frac{9-7}{7\cdot9}+\frac{11-9}{9\cdot11}+\frac{13-11}{11\cdot13}\right)=\frac{1}{3}\)
\(\frac{2}{3}\cdot y-4:\left(1+\frac{1}{3}-\frac{1}{3}+\frac{1}{5}-\frac{1}{5}+\frac{1}{7}-\frac{1}{7}+\frac{1}{9}-\frac{1}{9}+\frac{1}{11}-\frac{1}{11}+\frac{1}{13}\right)\)\(=\frac{1}{3}\)
\(\frac{2}{3}\cdot y-4:\left(\frac{1}{1}+\frac{1}{3}\right)=\frac{1}{3}\)
\(\frac{2}{3}\cdot y-4:\frac{4}{3}\)\(=\frac{1}{3}\)
\(\frac{2}{3}\cdot y-4\cdot\frac{3}{4}=\frac{1}{3}\)
\(\frac{2}{3}\cdot y-3=\frac{1}{3}\)
\(\frac{2}{3}\cdot y=\frac{1}{3}+3\)
\(\frac{2}{3}\cdot y=\frac{10}{3}\)
\(y=\frac{10}{3}:\frac{2}{3}\)
y=5
a, Y = (16+17,38)*42
=1401,96
b, Y = 60*17,03
=1021,8
tick nha
a, y : 42 = 16 + 17,38
y : 42 = 33,38
y = 33,38 x 42
y = 1401,96
b, y : 17,03 = 60
y = 60 x 17,03
y = 1021,8
\(1,x+4\cdot25=1000\)
\(\Rightarrow x+100=1000\)
\(\Rightarrow x=900\)
\(2,y\cdot17+y\cdot15+y\cdot1-y\cdot3=1860\)
\(\Rightarrow y\cdot\left(17+15+1-3\right)=1860\)
\(\Rightarrow30y=1860\)
\(\Rightarrow y=62\)
\(3,y\cdot33-y\cdot3=1860\)
\(\Rightarrow y\left(33-3\right)=1860\)
\(\Rightarrow30y=1860\)
\(\Rightarrow y=62\)
\(4,142-\frac{x}{2}=43\)
=?\(\frac{x}{2}=99\)
=>\(x=198\)
\(\left(\frac{1}{3}+\frac{1}{15}+\frac{1}{35}+\frac{1}{63}+\frac{1}{99}\right).y=\frac{2}{3}\)
\(\frac{1}{2}.\left(1-\frac{1}{3}\right)+\frac{1}{2}.\left(\frac{1}{3}-\frac{1}{5}\right)+\frac{1}{2}.\left(\frac{1}{5}-\frac{1}{7}\right)+\frac{1}{2}.\left(\frac{1}{7}-\frac{1}{9}\right)+\frac{1}{2}.\left(\frac{1}{9}-\frac{1}{11}\right).y=\frac{2}{3}\)
\(\frac{1}{2}.\left(1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+\frac{1}{9}-\frac{1}{11}\right).y=\frac{2}{3}\)
\(\frac{1}{2}.\left(1-\frac{1}{11}\right).y=\frac{2}{3}\)
\(\left(1-\frac{1}{11}\right).y=\frac{4}{3}\)
\(\frac{10}{11}.y=\frac{4}{3}\)
\(\Rightarrow y=\frac{22}{15}\)
\(\left(y+1\right)+\left(Y+3\right)+...+\left(y+99\right)=2550\)
\(\left(y+y+..+y\right)+\left(1+3+5+...+99\right)\)
\(50y+\frac{\left(99+1\right).50}{2}=2550\)
\(50y+2500=2550\)
\(\Rightarrow50y=50\)
\(\Rightarrow y=50:50=1\)
\(\Rightarrow y+y+...+y+1+3+...+99=2550\Rightarrow50y+\frac{\left(99+1\right)\cdot50}{2}=2550\)
\(\Rightarrow50y+2500=2550\Rightarrow50y=50\Rightarrow y=1\)