This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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Hizi hapa suluhisho za maswali yako: 7. What is the final result when you calculate the square root of the mixed fraction sqrt((6 (1)/(4)))? Step 1: Badilisha namba mchanganyiko kuwa sehemu isiyofaa. 6 (1)/(4) = ((6 × 4) + 1)/(4) = (24 + 1)/(4) = (25)/(4) Step 2: Tafuta mzizi wa mraba wa sehemu isiyofaa. sqrt((25)/(4)) = sqrt(25)sqrt(4) Step 3: Tafuta mizizi ya mraba ya namba ya juu na namba ya chini. sqrt(25)sqrt(4) = (5)/(2) Step 4: Badilisha sehemu isiyofaa kurudi kuwa namba mchanganyiko. (5)/(2) = 2 (1)/(2) Jibu sahihi ni A. 2 (1)/(2). 8. A farmer has n cows and m goats in his farm. If he sells 5 of his cows, which algebraic expression represents the total remaining animals? Step 1: Tambua idadi ya awali ya ng'ombe na mbuzi. Idadi ya ng'ombe = n Idadi ya mbuzi = m Step 2: Pata idadi ya ng'ombe waliobaki baada ya kuuza 5. Ng'ombe waliobaki = n - 5 Step 3: Andika usemi wa aljebra unaowakilisha jumla ya wanyama waliobaki. Jumla ya wanyama waliobaki = (Ng'ombe waliobaki) + (Idadi ya mbuzi) Jumla ya wanyama waliobaki = (n - 5) + m Jumla ya wanyama waliobaki = n - 5 + m Jibu sahihi ni B. n - 5 + m. 9. Convert the decimal number 0.45 into a fraction and then reduce it to its simplest form. Step 1: Badilisha desimali kuwa sehemu. Desimali 0.45 inamaanisha arobaini na tano ya mia. 0.45 = (45)/(100) Step 2: Rahisisha sehemu kwa kutafuta kigawanyo kikubwa zaidi (GCD) cha namba ya juu na namba ya chini. GCD ya 45 na 100 ni 5. Step 3: Gawanya namba ya juu na namba ya chini kwa GCD yao. (45 ÷ 5)/(100 ÷ 5) = (9)/(20) Jibu sahihi ni B. (9)/(20). Tuma swali linalofuata 📸