3 years ago

Explain why 1/3 + 1/4 equals 7/12 and not 2/7

Mathematics

1 answer:

KIM [24]3 years ago

4 0

Answer:

7/12

Step-by-step explanation:

1/3 = 4/12

1/4 = 3/12

3/12 + 4/12 = 7/12

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3 years ago

Determine the value of x to the nearest thousandth in the equation 8(2)^x+3=48

solong [7]

You probably mean either

$8\cdot2^x + 3 = 48$

$8\cdot2^{x+3} = 48$

Write 8 = 2³, so that in the first interpretation,

$8\cdot2^x = 2^3 \cdot 2^x = 2^{x + 3}$

and in the second,

$8\cdot2^{x+3} = 2^3 \cdot 2^{x+3} = 2^{x + 6}$

Then in the first interpretation, we have

$2^{x + 3} + 3 = 48 \implies 2^{x + 3} = 45 \implies x + 3 = \log_2(45) \implies x = \log_2(45) - 3 \approx \boxed{2.492}$

Otherwise, the second interpretation gives

$2^{x + 6} = 48 \implies x + 6 = \log_2(48) \implies x = \log_2(48) - 6 \approx -0.415$

8 0

3 years ago