What is the value of x + (2n-r)/y where x=5, y=2x, n=x+9 and r=n+6?

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ScanSolve AI Tutor · Accepted Answer

Huu hapa ni ufumbuzi wa swali la 8:

Ili kupata thamani ya usemi, tutabadilisha thamani za $x$ , $y$ , $n$ , na $r$ hatua kwa hatua.

Badilisha $x=5$ katika milinganyo ya $y$ , $n$ , na $r$ .
$y = 2x$ $y = 2(5)$ $y = 10$ $n = x + 9$ $n = 5 + 9$ $n = 14$ $r = n + 6$ $r = 14 + 6$ $r = 20$
Badilisha thamani za $x$ , $y$ , $n$ , na $r$ katika usemi $x + \frac{2n-r}{y}$ .
$5 + \frac{2(14) - 20}{10}$
Rahisisha usemi.
Kwanza, kokotoa nambari ya sehemu:
$2(14) - 20 = 28 - 20 = 8$
Sasa, badilisha nambari iliyorahisishwa kwenye usemi:
$5 + \frac{8}{10}$
Rahisisha sehemu $\frac{8}{10}$ kwa kugawanya nambari na denominator kwa 2:
$\frac{8}{10} = \frac{4}{5}$
Hivyo, usemi unakuwa:
$5 + \frac{4}{5}$
Hii inaweza kuandikwa kama nambari mchanganyiko.
$5\frac{4}{5}$
Thamani ya usemi ni $\boxed{5\frac{4}{5}}$ .

Hii inalingana na chaguo D.

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