15 x 28
135 x 52
2547 x 35
1869 x 47
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a, 53 * 39 + 47 * 59 - 53 * 21 - 47 * 21 c, (43 * 52 - 43 ) : ( 4 * 42 )
= ( 53 + 47 ) * 39 - ( 53 + 47 ) * 21 = ( 64 * 25 - 64 ) : ( 4 * 16 )
= 100 * 39 - 100 * 21 = ( 1600 - 64 ) : 64
= ( 39 - 21 ) * 100 = 1536 : 64
= 18 * 100 = 24
= 1800
a) `123 - 27 + 27 + 13 - 123`
`= (123 - 123) + (27 - 27) + 13`
`= 0 + 0 + 13`
`= 13`
`---`
b) `175 + 25 + 13 + 15 - 175 - 25`
`= (175-175)+(25-25)+25+13`
`=0+0+25+13`
`=28`
`---`
c) \(53\times39+47\times39+53\times21+47\times21\)
\(=\text{[}\left(53+47\right)\times39]+\left[\left(53+47\right)\times21\right]\)
\(=\left(100\times39\right)+\left(100\times21\right)\)
\(=3900+2100\)
`=6000`
`---`
d) \(49\times35+49\times16-49\times61\)
`=` \(49\times\left(35+16-61\right)\)
`=` \(49\times\left(-10\right)\)
`=-490`
a ) x ∈ ± 23 28 . b ) x ∈ − 23 6 ; 35 6 . c ) x ∈ − 17 60 ; 97 60 . d ) x ∈ 67 140 ; 143 140 .
a) 47 – x + 15 = 21 ⇔ 47 – x − 15 = 21 ⇔ 47 − x = 21 + 15 ⇔ 7 − x = 36 ⇔ − x = 47 − 36 ⇔ − x = 11 ⇔ x = − 11.
b) – 5 – 24 – x = – 11 ⇔ − 5 − 24 + x = − 11 ⇔ − 29 + x = − 11 ⇔ x = − 11 + 29 ⇔ x = 18.
c) 11 + 15 – x = 1 ⇔ 15 − x = 1 − 11 ⇔ 15 − x = − 10 ⇔ 15 + 10 = x ⇔ x = 25.
a: =17/25(13/19+6/19)=17/25
b: \(=\dfrac{47}{19}\cdot\dfrac{32}{15}-\dfrac{47}{19}\cdot\dfrac{17}{15}=\dfrac{47}{19}\)
15 x 28 = 420
135 x 52 = 7 020
2547 x 35 = 54 145
1869 x 47 = 87 843