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a) \(2075:5=\frac{x\times75}{5+40}\)
\(415=\frac{x\times75}{45}\)
\(\Rightarrow x\times75=415\times45\)
\(x\times75=18675\)
\(x=18675:75\)
\(x=249\)
b) \(x+x:5\times7,5+x:2\times9=315\)
\(x+x\times\frac{1}{5}\times7,5+x\times\frac{1}{2}\times9=315\)
\(x\times\left(1+\frac{1}{5}\times7,5+\frac{1}{2}\times9\right)=315\)
\(x\times7=315\)
\(x=315:7\)
\(x=45\)
Lưu ý mình dùng * thay cho dấu nhân và / thay cho dấu chia.
a) 2075/5 = \(\frac{x\cdot75}{5+40}\)
\(\frac{x\cdot75}{5+40}\) = \(\frac{x\cdot75}{45}\) = 415
(x * 75) / 45 = 415
x * 75 = 415 * 45 = 18675
x = 18675 / 75
x = 249
b) x + x / 5 * 7,5 + x / 2 * 9 = 315
x + x * \(\frac{7,5}{5}\)+ x * \(\frac{9}{2}\)= 315
x * 1 + x * \(\frac{7,5}{5}\)+ x * \(\frac{9}{2}\)= 315
x * (1 + \(\frac{7,5}{5}\)+ \(\frac{9}{2}\)) = 315
x * 7 = 315
x = 315 / 7
x = 45
Chúc bạn học tốt !
2075:5=(x*75:5)+40
415=(x*15)+40
x*15=415-40
x*15=375
x=375:15
x=25
\(\left(\frac{1}{3}+\frac{1}{15}+\frac{1}{35}+\frac{1}{63}+\frac{1}{99}\right).y=\frac{2}{3}\)
\(\frac{1}{2}.\left(1-\frac{1}{3}\right)+\frac{1}{2}.\left(\frac{1}{3}-\frac{1}{5}\right)+\frac{1}{2}.\left(\frac{1}{5}-\frac{1}{7}\right)+\frac{1}{2}.\left(\frac{1}{7}-\frac{1}{9}\right)+\frac{1}{2}.\left(\frac{1}{9}-\frac{1}{11}\right).y=\frac{2}{3}\)
\(\frac{1}{2}.\left(1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+\frac{1}{9}-\frac{1}{11}\right).y=\frac{2}{3}\)
\(\frac{1}{2}.\left(1-\frac{1}{11}\right).y=\frac{2}{3}\)
\(\left(1-\frac{1}{11}\right).y=\frac{4}{3}\)
\(\frac{10}{11}.y=\frac{4}{3}\)
\(\Rightarrow y=\frac{22}{15}\)
a) x : 0,125 - x = 45
x * 1/8 - x = 45
x * (1/8 - 1) = 45
x * -7/8 = 45
x = -360/7
b) x : 0,2 + x * 5 - x : 0,25 = 54,75
x * 1/5 + x * 5 - x * 1/4 = 54,75
x * (1/5 + 5 - 1/4) = 54,75
x * 99/20 = 54,75
x = 365/33
`75/20 - x = 3/2 xx 10`
`15/4 - x = 15`
`x = 15/4 - 15`
`x = -45/4`
`(12 xx 15) - X xx 1/4 = 120 xx 1/4`
`180 - X xx 1/4 = 30`
`X xx 1/4 = 180-30`
`X xx 1/4 = 150`
`X = 150 : 1/4`
`X = 600`
\(\dfrac{15}{4}-x=15\)
\(x=\dfrac{15}{4}-15\)
\(x=-\dfrac{45}{4}\)
\(\left(12\times15\right)-\dfrac{1}{4}x=120\times\dfrac{1}{4}\)
\(180-\dfrac{1}{4}x=30\)
\(-\dfrac{1}{4}x=30-180\)
\(-\dfrac{1}{4}x=-150\)
\(-x=-150:\dfrac{1}{4}\)
\(-x=-150\times4\)
\(-x=-600\)
\(x=600\)
x.(9,25+75%)=55,35
x.(9,25+3/4)=55,35
x.(9,25+3/4)=1925
x.40/4=1925
x.10/1=1925
x=1925:10/1
x=192,5
75/100+3/4x19+75%x30+0,75x50
=0,75x1+0,75x19+0,75x30+0,75x50
=0,75x(1+19+30+50)
=0,75x100
=75
75 - ( 6 . x + 7 ) = 50
6 . x + 7 = 75 - 50
6 . x + 7 = 25
6 . x = 25 - 7
6 . x = 12
x = 12 : 6
x = 2
Dấu chấm là nhân