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Nitella [24]
3 years ago
5

Find the greatest possible error for the measurement 4.7 cm. 0.05 cm 0.5 cm 1.0 cm

Mathematics
1 answer:
NeTakaya3 years ago
5 0

Answer:

  0.05 cm

Step-by-step explanation:

The least-significant digit in the given measurement is the one in the 0.1 cm number place. The "greatest possible error" is half the value of that number place, so is ...

  (0.1 cm)/2 = 0.05 cm . . . . "greatest possible error"

_____

For questions of this sort, we make the (not always practical) assumption that the measurement is rounded perfectly to the nearest 0.1 cm.

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Simplify the expression 3/2 (5/3) -1 1/4 + 1/2 Given the answer as a simplified fraction. The simplified expression is a/b.
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<h2>Hello!</h2>

The answer is:

The simplified fraction is:

\frac{7}{4}

<h2>Why?</h2>

To solve this problem we must remember the following:

- Addition or subtraction of fractions, we add or subtract fractions by the following way:

\frac{a}{b}(+-)\frac{c}{d}=\frac{ad(+-)bc}{bd}

- Product of fractions, the multiplication of fraction is linear, meaning that we should multiply the numerator by the numerator and denominator by denominator, so:

\frac{a}{b}*\frac{c}{d}=\frac{ac}{bd}

- Convert mixed number to fraction,

a\frac{b}{c}=a+\frac{b}{c}=\frac{ac+b}{c}

So, solving we have:

\frac{3}{2}*\frac{5}{3}-1\frac{1}{4}+\frac{1}{2}=\frac{3*5}{2*3} -1\frac{1}{4}+\frac{1}{2}\\\\\frac{3*5}{2*3} -1\frac{1}{4}+\frac{1}{2}=\frac{15}{6} -1\frac{1}{4}+\frac{1}{2}\\\\\frac{15}{6} -1\frac{1}{4}+\frac{1}{2}=\frac{15}{6} -(1+\frac{1}{4})+\frac{1}{2}\\\\\frac{15}{6} -(1+\frac{1}{4})+\frac{1}{2}=\frac{15}{6}-(\frac{4+1}{1*4})+\frac{1}{2}\\\\\frac{15}{6}-(\frac{4+1}{4})+\frac{1}{2}=\frac{15}{6}-\frac{5}{4}+\frac{1}{2}

\frac{15}{6}-\frac{5}{4}+\frac{1}{2}=(\frac{5}{2}-\frac{5}{4})+\frac{1}{2}\\\\(\frac{5}{2}-\frac{5}{4})+\frac{1}{2}=(\frac{(4*5)-(2*5)}{8})+\frac{1}{2}\\\\(\frac{(4*5)-(2*5)}{8})+\frac{1}{2}=(\frac{20-10}{8})+\frac{1}{2}\\\\(\frac{20-10}{8})+\frac{1}{2}=(\frac{10}{8})+\frac{1}{2}\\\\(\frac{10}{8})+\frac{1}{2}=\frac{5}{4}+\frac{1}{2}\\\\\frac{5}{4}+\frac{1}{2}=\frac{(5*2)+(4*1)}{2*4}\\\\\frac{(5*2)+(4*1)}{2*4}=\frac{10+4}{8}=\frac{14}{8}\\\\\frac{14}{8}=\frac{7}{4}

Hence, the simplified fraction is:

\frac{7}{4}

Have a nice day!

8 0
3 years ago
Read 2 more answers
A total of 715 tickets were sold for the school play. They were either adult tickets or student tickets. There were 65 more stud
Sergeeva-Olga [200]

Answer:

There were 423 adult tickets sold.

Step-by-step explanation:

Let x = the number of adult tickets sold

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x + x + 65 = 715

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6 0
3 years ago
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Is 16.275 greater then 16.28
Svetlanka [38]

Answer:

no

Step-by-step explanation:

16.28 can also be written 16.280 (you could add as many zeros to the end as you want its still the same number)

280 is bigger than 275

8 0
3 years ago
Mr adams spent $36.25 on 12.5 pounds of nestle crunch. determine the cost per pound of nestele crunch, showing each step in the
Mkey [24]
What you know:

Mr. Adams spent $36.25 on 12.5 pounds.

All you do to find the cost per each pound is:

36.25/12.5

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8 0
3 years ago
Please help me....I really need help!!
scoundrel [369]

\dfrac{c^2-4}{6c^4+15c^3}\div\dfrac{c^2+4c+4}{12c^3+30c^2}=\dfrac{c^2-2^2}{3c^3(2c+5)}\div\dfrac{c^2+2(c)(2)+2^2}{6c^2(2c+5)}\\\\_{\text{use}\ a^2-b^2=(a-b)(a+b)\ \text{and}\ (a+b)^2=a^2+2ab+b^2}\\\\=\dfrac{(c-2)(c+2)}{3c^3(2c+5)}\cdot\dfrac{6c^2(2c+5)}{(c+2)^2}=\dfrac{(c-2)}{c}\cdot\dfrac{2}{(c+2)}=\boxed{\dfrac{2(c-2)}{c(c+2)}}

6 0
3 years ago
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