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Lapatulllka [165]
3 years ago
12

Complete this section.

Mathematics
2 answers:
Phoenix [80]3 years ago
6 0

Answer:

6)       \frac{8}{3} =2\frac{2}{3}

7)        \frac{16}{15}=1\frac{1}{15}

8)        -\frac{23}{9} =-2\frac{5}{9}

9)       -\frac{17}{2} =-8\frac{1}{2}

10)       -\frac{55}{12} = -4\frac{7}{12}

Step-by-step explanation:

First of all we need to know what an improper fraction is and a mixed number. An improper fraction sometimes referred to as "Top heavy fraction" because a larger number is in the numerator than the denominator. A mixed fraction is a way of writing improper fractions with 3 number, a whole number and the a usual fraction. When converting an improper fraction to a mixed fraction, the denominator multiplied by the whole number plus the numerator should give the numerator on the improper fraction so,

6)       \frac{8}{3} =2\frac{2}{3}

7)        \frac{16}{15}=1\frac{1}{15}

8)        -\frac{23}{9} =-2\frac{5}{9}

9)       -\frac{17}{2} =-8\frac{1}{2}

10)       -\frac{55}{12} = -4\frac{7}{12}

choli [55]3 years ago
3 0

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1 solution 

x = -1/2

-------------------------------------
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4 0
3 years ago
Determine whether or not 630 is a triangular number. start with the formula t n = n ( n + 1 ) 2 and then use the quadratic formu
ziro4ka [17]
Triangular sequence = n(n + 1)/2

If 630 is a triangular number, then:

n(n + 1)/2  = 630

Then n should be a positive whole number if 630 is a triangular number.

n(n + 1)/2  = 630

n(n + 1)  = 2*630

n(n + 1)  = 1260

n² + n = 1260

n² + n - 1260 = 0

By trial an error note that 1260 = 35 * 36

n² + n - 1260 = 0

Replace n with 36n - 35n

n² + 36n - 35n - 1260 = 0

n(n + 36) - 35(n + 36) = 0

(n + 36)(n - 35) = 0

n + 36 = 0   or   n - 35 = 0

n = 0 - 36,   or  n = 0 + 35

n = -36, or 35

n can not be negative. 

n = 35 is valid.

Since n is a positive whole number, that means 630 is a triangular number.

So the answer is True.
7 0
3 years ago
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