y * 3/5 + y * 2/5 = 700
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#)Giải :
\(\left(y+1\right)+\left(y+3\right)+\left(y+5\right)+...+\left(y+49\right)=700\)
\(\left(y+y+y+...+y\right)+\left(1+3+5+...+49\right)=700\)(có 25 số hạng trong các ngoặc)
\(25y+\frac{\left(49+1\right)25}{2}=700\)
\(25y+625=700\)
\(\Rightarrow25y=75\)
\(\Rightarrow y=3\)
(y+1)+(y+3)+(y+5)+...+(y+49)=700
=>(y+y+y+...+y)+(1+3+5+...+49)=700
-> y=(49-1):2+1=25 số hạng
=>25y+[(49+1)×25÷2]=700
=>25y+625=700
=>25y=75
=>y=3
\(a.16307:y=45\left(dư\text{ }17\right)\)\(\Leftrightarrow45\text{×}y+17=16307\)
\(45\text{×}y=16307-17\)
\(45\text{×}y=16290\)
\(y=16290:45\)
\(y=362\)
\(b.y\text{×}52+y\text{×}48=36700\)
\(y\text{×}\left(52+48\right)=36700\)
\(y\text{×}100=36700\)
\(y=36700:100\)
\(y=367\)
a) 16307= 45*y+17 -> y=(16307-17)/45= 362
b) y*(52+48)= 36700 -> y=36700/100= 367
\(A=5+5^2+5^3+...+5^{700}\)
\(\Rightarrow5A=5^2+5^3+5^4+...+5^{701}\)
\(\Rightarrow5A-A=\left(5^2+5^3+5^4+...+5^{701}\right)-\left(5+5^2+5^3+...+5^{700}\right)\)
\(\Rightarrow4A=5^{701}-5\)
\(\Rightarrow A=\frac{5^{701}-5}{4}\)
4000 : (x : 8 - 700) = 5
<=> x : 8 - 700 = 800
<=> x : 8 = 1500
<=> x = 12000
@Sunin Quất
4000 ÷ ((x ÷ 8)-700)=5
(x ÷ 8)-700=4000÷5
(x÷8)-700= 800
x ÷ 8 = 1500
x=12000
Câu 3:
\(\dfrac{x}{y}=\dfrac{5}{9}\Rightarrow\dfrac{x}{5}=\dfrac{y}{9}\)
Áp dụng tính chất dãy tỉ số bằng nhau ta có:
\(\dfrac{x}{5}=\dfrac{y}{9}=\dfrac{x-y}{5-9}=\dfrac{-40}{-4}=10\)
\(\dfrac{x}{5}=10\Rightarrow x=5\\ \dfrac{y}{9}=10\Rightarrow y=90\)
Câu b:
Áp dụng tính chất dãy tỉ số bằng nhau ta có:
\(\dfrac{x}{2}=\dfrac{y}{3}=\dfrac{5x-2y}{10-6}=\dfrac{28}{4}=7\)
\(\dfrac{x}{2}=7\Rightarrow x=14\\ \dfrac{y}{3}=7\Rightarrow y=21\)
Câu c:
Áp dụng tính chất dãy tỉ số bằng nhau ta có:
\(\dfrac{x}{5}=\dfrac{y}{7}=\dfrac{z}{10}=\dfrac{x+y-1}{5+7-10}=\dfrac{20}{2}=10\)
\(\dfrac{x}{5}=10\Rightarrow x=50\\ \dfrac{y}{7}=10\Rightarrow y=70\\ \dfrac{z}{10}=10\Rightarrow z=100\)
Câu d:
Áp dụng tính chất dãy tỉ số bằng nhau ta có:
\(\dfrac{x}{3}=\dfrac{y}{4}=\dfrac{z}{5}=\dfrac{3x-2y+2z}{9-8+10}=\dfrac{121}{11}=11\)
\(\dfrac{x}{3}=11\Rightarrow x=3\\ \dfrac{y}{4}=11\Rightarrow y=44\\ \dfrac{z}{5}=11\Rightarrow z=55\)
Câu e:
\(\dfrac{x}{4}=\dfrac{y}{2}\Rightarrow\dfrac{x}{8}=\dfrac{y}{6}\\\dfrac{y}{3}=\dfrac{z}{5}\Rightarrow\dfrac{y}{6}=\dfrac{z}{10}\\ \Rightarrow\dfrac{x}{8}=\dfrac{y}{6}=\dfrac{z}{10} \)
Áp dụng tính chất dãy tỉ số bằng nhau ta có:
\(\dfrac{x}{8}=\dfrac{y}{6}=\dfrac{z}{10}=\dfrac{x+y-z}{8+6-10}=\dfrac{20}{4}=5\)
\(\dfrac{x}{8}=5\Rightarrow x=40\\ \dfrac{y}{6}=5\Rightarrow y=30\\ \dfrac{z}{10}=5\Rightarrow z=50\)
3) \(\Rightarrow\dfrac{x}{5}=\dfrac{y}{9}=\dfrac{x-y}{5-9}=\dfrac{-40}{-4}=10\)
\(\Rightarrow\left\{{}\begin{matrix}x=10.5=50\\y=10.9=90\end{matrix}\right.\)
4) \(\dfrac{x}{2}=\dfrac{y}{3}=\dfrac{5x}{10}=\dfrac{2y}{6}=\dfrac{5x-2y}{10-6}=\dfrac{28}{4}=7\)
\(\Rightarrow\left\{{}\begin{matrix}x=7.2=14\\y=7.3=21\end{matrix}\right.\)
5) \(\dfrac{x}{5}=\dfrac{y}{7}=\dfrac{z}{10}=\dfrac{x+y-z}{5+7-10}=\dfrac{20}{2}=10\)
\(\Rightarrow\left\{{}\begin{matrix}x=10.5=50\\y=10.7=70\\z=10.10=100\end{matrix}\right.\)
6) \(\dfrac{x}{3}=\dfrac{y}{4}=\dfrac{z}{5}=\dfrac{3x}{9}=\dfrac{2y}{8}=\dfrac{2z}{10}=\dfrac{3x-2y+2z}{9-8+10}=\dfrac{121}{11}=11\)
\(\Rightarrow\left\{{}\begin{matrix}x=11.3=33\\y=11.4=44\\z=11.5=55\end{matrix}\right.\)
7) \(\Rightarrow\dfrac{x}{12}=\dfrac{y}{6}=\dfrac{z}{10}=\dfrac{x+y-z}{12+6-10}=\dfrac{20}{8}=\dfrac{5}{2}\)
\(\Rightarrow\left\{{}\begin{matrix}x=\dfrac{5}{2}.12=30\\y=\dfrac{5}{2}.6=15\\z=\dfrac{5}{2}.10=25\end{matrix}\right.\)
a) 608 292 = 600 000 + 8 000 + 200 + 90 + 2
815 036 = 800 000 + 10 000 + 5 000 + 30 + 6
5 240 601 = 5 000 000 + 200 000 + 40 000 + 600 + 1
b)
50 000 + 6 000 + 300 + 20 + 7 = 56 327
800 000 + 2 000 + 100 + 40 + 5 = 802 145
3 000 000 + 700 000 + 5 000 + 90 = 3 705 090
a) y × 2/5 + y × 3/5 = 5/7
y x ( 2/5 + 3/5) = 5/7
y x 5/5 = 5/7
y x 1 = 5/7
y = 5/7 : 1
y = 5/7
b) y × 7/2 - y × 3/2 = 3/4
y x ( 7/2 - 3/2) = 3/4
y x 4/2 = 3/4
y x 2 = 3/4
y = 3/4 : 2
y = 3/4 x 1/2
y = 3/8
`a,yxx(2/5+3/5)=5/7`
`y xx1=5/7`
`y=5/7:1`
`y=5/7`
`b,y xx(7/2-3/2)=3/4`
`y xx2=3/4`
`y =3/4:2`
`y=3/2`
y x ( 3/5 + 2/5 ) = 700
y x ? =700
y = 700 : ?
y = ?
tự lm đi nha tui giúp thế thui á
y x ( 3/5 + 2/5 ) = 700
y x 1 =700
y = 700 : 1
y = 700