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tigry1 [53]
3 years ago
8

10 2/3 x 6 1/4 simplify or reduce

Mathematics
2 answers:
sertanlavr [38]3 years ago
7 0

Answer:

66 2/3

Step-by-step explanation:

10 2/3=32/3 as a improper fraction(multiply 10 by denominator and add to numerator to get numerator of improper fraction)

6 1/4=25/4 as a improper fraction)

32/3*25/4=32*25/3*4=800/12=66 2/3

Marta_Voda [28]3 years ago
7 0

Step-by-step explanation:

10 \frac{2}{3}  \times 6 \frac{1}{4}  \\  \\  =  \frac{10 \times 3 + 2}{3}  \times  \frac{6 \times 4 + 1}{4} \\  \\  =  \frac{30+ 2}{3}   \times  \frac{24 + 1}{4}  \\  \\  =  \frac{32}{3}  \times  \frac{25}{4}  \\  \\  =  \frac{8}{3}  \times  \frac{25}{1}  \\  \\  =  \frac{200}{3}  \\   \\  = 66 \frac{2}{3}

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krok68 [10]

(A) <em>f(x)</em> = 7 is constant, so <em>f(x</em> + <em>h)</em> = 7, too, which makes <em>f(x</em> + <em>h)</em> - <em>f(x)</em> = 0. So <em>f'(x)</em> = 0.

(B) <em>f(x)</em> = 5<em>x</em> + 1   ==>   <em>f(x</em> + <em>h)</em> = 5 (<em>x</em> + <em>h</em>) + 1 = 5<em>x</em> + 5<em>h</em> + 1

==>   <em>f(x</em> + <em>h)</em> - <em>f(x)</em> = 5<em>h</em>

Then

\displaystyle f'(x) = \lim_{h\to0}\frac{5h}h = \lim_{h\to0}5 = 5

(C) <em>f(x)</em> = <em>x</em> ² + 3   ==>   <em>f(x</em> + <em>h)</em> = (<em>x</em> + <em>h</em>)² + 3 = <em>x</em> ² + 2<em>xh</em> + <em>h</em> ² + 3

==>   <em>f(x</em> + <em>h)</em> - <em>f(x)</em> = 2<em>xh</em> + <em>h</em> ²

\implies\displaystyle f'(x) = \lim_{h\to0}\frac{2xh+h^2}h = \lim_{h\to0}(2x+h) = 2x

(D) <em>f(x)</em> = <em>x</em> ² +<em> </em>4<em>x</em> - 1   ==>   <em>f(x</em> + <em>h)</em> = (<em>x</em> + <em>h</em>)² + 4 (<em>x</em> + <em>h</em>) - 1 = <em>x</em> ² + 2<em>xh</em> + <em>h</em> ² + 4<em>x</em> + 4<em>h</em> - 1

==>   <em>f(x</em> + <em>h)</em> - <em>f(x)</em> = 2<em>xh</em> + <em>h</em> ² + 4<em>h</em>

\implies \displaystyle f'(x) = \lim_{h\to0}\frac{2xh+h^2+4h}h = \lim_{h\to0}(2x+h+4) = 2x+4

5 0
3 years ago
Which is the only fraction that must be represented by a nonterminating decimal?
Aleks04 [339]
A is incorrect - In decimal form, 7/5 is 1.4

B is incorrect - In decimal form, 7/4 is 1.75

D is incorrect - In decimal form, 7/2 is 3.5

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3 years ago
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Answer:

Moses got into the elevator at the 8th floor.

Step-by-step explanation:

Let's call the floor which Moses started at x. Going down decreases the floor number and going up increases the floor number. We then form the equation x-5+6-7=2  which is the same as x-8=0 which means x=8. Moses got in at the 8th floor.

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Dmitry_Shevchenko [17]

Since range is the difference between the highest and lowest value, simply subtract 100 from 200.

200 is the highest value in this set and 100 is the lowest value in this set.

Final answer is 100.

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