15 m l 4 m l = 100 m l x m l cross m u lt i pl y 15 x = 4 × 100 15 x = 400 ∣ d i v i d e b o t h s i d es b y 15 x = 15 400 ∣ d i v i d e a n u m er a t or an d a d e n o mina t or b y 5 x = 3 80 x = 26 3 2 ( m l ) A n s w er : 26 3 2 m l o f re d p ain t .
To mix 100 ml of yellow paint, you will need about 26.67 ml of red paint, based on the original ratio of 4 ml of red to 15 ml of yellow. This is calculated using a proportion. The final answer is shown in the fraction form of 26 2/3 ml.
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Jawaban:5. 32 1/5 + 64 2/3 - 125 1/3 x 36 1/2 : 8 2/3- Ubah ke pecahan biasa:- 32 1/5 = 161/5- 64 2/3 = 194/3- 125 1/3 = 376/3- 36 1/2 = 73/2- 8 2/3 = 26/3- Hitung perkalian dan pembagian terlebih dahulu:- (376/3) x (73/2) = 27448/6 = 13724/3- (13724/3) : (26/3) = (13724/3) x (3/26) = 13724/26 = 527.85 (kira-kira)- Hitung penjumlahan dan pengurangan:- (161/5) + (194/3) = (483 + 970) / 15 = 1453/15- (1453/15) - (13724/26) = 96.87 - 527.85 = -430.98 (kira-kira)Jadi, hasil dari soal nomor 5 adalah sekitar -430.98. 6. (61 5/6 + 81 1/2) / (125 2/3 - 32 2/5)- Ubah ke pecahan biasa:- 61 5/6 = 371/6- 81 1/2 = 163/2- 125 2/3 = 377/3- 32 2/5 = 162/5- Hitung bagian atas (penjumlahan):- (371/6) + (163/2) = (371 + 489) / 6 = 860/6 = 430/3- Hitung bagian bawah (pengurangan):- (377/3) - (162/5) = (1885 - 486) / 15 = 1399/15- Hitung pembagian:- (430/3) / (1399/15) = (430/3) x (15/1399) = (430 x 5) / 1399 = 2150/1399 = 1.54 (kira-kira)Jadi, hasil dari soal nomor 6 adalah sekitar 1.54. 7. Hasil dari rasional:Mari kita rasionalkan setiap opsi:- a) 2 / (√6 + √2)- Kalikan dengan konjugat: (2 / (√6 + √2)) x ((√6 - √2) / (√6 - √2))- = (2(√6 - √2)) / (6 - 2)- = (2(√6 - √2)) / 4- = (√6 - √2) / 2- b) (3 + √2) / (√5 + √3)- Kalikan dengan konjugat: ((3 + √2) / (√5 + √3)) x ((√5 - √3) / (√5 - √3))- = ((3 + √2)(√5 - √3)) / (5 - 3)- = (3√5 - 3√3 + √10 - √6) / 2- c) √8 / 6- Sederhanakan √8: √8 = √(4 x 2) = 2√2- = (2√2) / 6- = √2 / 3- d) (√8 + √6) / √6- Kalikan dengan √6 / √6: ((√8 + √6) / √6) x (√6 / √6)- = (√48 + 6) / 6- = (√(16 x 3) + 6) / 6- = (4√3 + 6) / 6- = (2√3 + 3) / 3