( 20 \times 4 + 30 \times 2 ) ( 1 + 16 \% ) = 5 \times 20 + 30 x
x uchun yechish
x = \frac{52}{25} = 2\frac{2}{25} = 2,08
Grafik
Viktorina
Linear Equation
5xshash muammolar:
( 20 \times 4 + 30 \times 2 ) ( 1 + 16 \% ) = 5 \times 20 + 30 x
Baham ko'rish
Klipbordga nusxa olish
\left(80+60\right)\left(1+\frac{16}{100}\right)=5\times 20+30x
80 hosil qilish uchun 20 va 4 ni ko'paytirish. 60 hosil qilish uchun 30 va 2 ni ko'paytirish.
140\left(1+\frac{16}{100}\right)=5\times 20+30x
140 olish uchun 80 va 60'ni qo'shing.
140\left(1+\frac{4}{25}\right)=5\times 20+30x
\frac{16}{100} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.
140\left(\frac{25}{25}+\frac{4}{25}\right)=5\times 20+30x
1 ni \frac{25}{25} kasrga o‘giring.
140\times \frac{25+4}{25}=5\times 20+30x
\frac{25}{25} va \frac{4}{25} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
140\times \frac{29}{25}=5\times 20+30x
29 olish uchun 25 va 4'ni qo'shing.
\frac{140\times 29}{25}=5\times 20+30x
140\times \frac{29}{25} ni yagona kasrga aylantiring.
\frac{4060}{25}=5\times 20+30x
4060 hosil qilish uchun 140 va 29 ni ko'paytirish.
\frac{812}{5}=5\times 20+30x
\frac{4060}{25} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.
\frac{812}{5}=100+30x
100 hosil qilish uchun 5 va 20 ni ko'paytirish.
100+30x=\frac{812}{5}
Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.
30x=\frac{812}{5}-100
Ikkala tarafdan 100 ni ayirish.
30x=\frac{812}{5}-\frac{500}{5}
100 ni \frac{500}{5} kasrga o‘giring.
30x=\frac{812-500}{5}
\frac{812}{5} va \frac{500}{5} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
30x=\frac{312}{5}
312 olish uchun 812 dan 500 ni ayirish.
x=\frac{\frac{312}{5}}{30}
Ikki tarafini 30 ga bo‘ling.
x=\frac{312}{5\times 30}
\frac{\frac{312}{5}}{30} ni yagona kasrga aylantiring.
x=\frac{312}{150}
150 hosil qilish uchun 5 va 30 ni ko'paytirish.
x=\frac{52}{25}
\frac{312}{150} ulushini 6 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.
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