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guapka [62]
2 years ago
12

1/4 plus 1/6 in simplest terms

Mathematics
2 answers:
bonufazy [111]2 years ago
8 0

Answer:

1/4 + 1/6 = 5/12 ≅ 0.4166667

Step-by-step explanation:

1. Add 1/4+1/6=1*3/4*3+1*2/6*2=3/12+2/12=3+2/12=5/12

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(4, 6) = 12. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 4 × 6 = 24. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - one quarter plus one sixth = five twelfths.

Tasya [4]2 years ago
7 0

Answer:

\frac{5}{12}

Step-by-step explanation:

\frac{1}{4}+\frac{1}{6}\\\\=\frac{3}{12}+\frac{2}{12}\\\\=\frac{5}{12}

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A quantity P is an exponential function of time I, such that P = 160 when t = 6 and P = 150 when I = 4. Use the given informatio
Klio2033 [76]

Answer:

  • k = 0.032
  • P0 = 131.836

Step-by-step explanation:

Perhaps you want to use the points (t, P) = (4, 150) and (6, 160) to find the parameters P0 and k in the equation ...

  P(t)=P_0\cdot e^{kt}

We know from the given points that we can write the equation as ...

  P(t)=150\left(\dfrac{160}{150}\right)^{(t-4)/(6-4)}=150\left(\dfrac{16}{15}\right)^{\frac{t}{2}-2}\\\\=150\left(\dfrac{16}{15}\right)^{-2}\times\left(\left(\dfrac{16}{15}\right)^{\frac{1}{2}}\right)^t

Comparing this to the desired form, we see that ...

  P_0=150\left(\dfrac{16}{15}\right)^{-2}\approx 131.836\\\\e^{k}=\left(\dfrac{16}{15}\right)^{1/2}\rightarrow k=\dfrac{1}{2}(\ln{16}-\ln{15})\approx 0.0322693

So, the approximate equation for P is ...

  P(t)=131.836\cdote^{0.032t}

And the parameters of interest are ...

  • k = 0.032
  • P0 = 131.836
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Step-by-step explanation:

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