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Nat2105 [25]
3 years ago
12

10/16 divided by 5/15!! Plz help plz plz plz plz

Mathematics
1 answer:
qaws [65]3 years ago
8 0

Answer: 1 and 7/8

Step-by-step explanation: In this problem, we have 10/16 divided by 5/15. Dividing by a fraction is the same as multiplying by its reciprocal. In other words, we can change the division sign to multiplication and flip the second fraction.

So, 10/16 ÷ 5/15 can be rewritten as 10/16 × 15/5.

Now, we are simply multiplying fractions. To multiply fractions, we multiply across the numerators and multiply across the denominators.

(\frac{10}{16}) (\frac{5}{5}) = \frac{150}{80}

Since the fraction 150/8 is not in lowest terms, we need to divide both the numerator and denominator by 10 to get 15/8.

Since 15/8 is an improper fraction, we can change this to a mixed number by dividing the denominator into the numerator.

Image provided.

Therefore, 10/16 divided by 5/15 = 1 and 7/8.

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Step-by-step explanation:

Given\ (8x+3k)(9x-2)=0\\\\Product\ of\ two\ expressions\ is\ zero\ then\ one\ of\ them\ must\ be\ zero.\\\\If\ (9x-2)=0\\\\Add\ 2\ both\ the\ sides\\\\9x-2+2=0+2\\\\9x=2\\\\divide\ both\ sides\ by\ 9.\\\\\frac{9x}{9}=\frac{2}{9}\\\\x=\frac{2}{9}\\\\When\ (8x+3k)=0\\\\8x=-3k\\\\x=\frac{-3k}{8}\\\\

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Other Method:

Product of solutions: Product of the roots of the polynomial ax^2+bx+c=0 is given by \frac{c}{a}

(8x+3k)(9x-2)=0\\\\(72x^2+27kx-16x-6k)=0\\\\72x^2+(27k-16)x-6k=0\\\\Here\ a=72,\ b=(27k-16),\ c=-6k\\\\\frac{c}{a}=\frac{-6k}{72}\\\\Product\ is\ given=-3\\\\-\frac{6k}{72}=-3\\\\6k=72\times 3\\\\k=\frac{72\times 3}{6}\\\\k=36

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3 years ago
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