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A school group charters three identical buses and occupies $4 over 5$ of the seats. After $1 fourth$ of the passengers leave, the remaining passengers use only two of the buses. The fraction of the seats on the two buses that are now occupied is

$8 over 9$
$7 over 10$
$7 over 9$
$7 over 9$

525 Views

22.

Find the value of:
$square root of 30 plus square root of 30 plus square root of 30 plus....... end root end root end root$

5
$3 square root of 10$
6
6

116 Views

23.
The value of $fraction numerator left parenthesis 8.3 right parenthesis to the power of 3.6 end exponent cross times space left parenthesis 9 right parenthesis to the power of 2.7 end exponent over denominator left parenthesis 81 right parenthesis to the power of 4.2 end exponent space cross times space left parenthesis 3 right parenthesis end fraction$ is

3

6

9

9

fraction numerator left parenthesis 81 right parenthesis to the power of 3.6 end exponent space cross times space left parenthesis 9 right parenthesis to the power of 2.7 end exponent over denominator left parenthesis 81 right parenthesis to the power of 4.2 end exponent space cross times space 3 end fraction equals space fraction numerator left parenthesis 3 to the power of 4 right parenthesis to the power of 3.6 end exponent space cross times space left parenthesis 3 squared right parenthesis to the power of 2.7 end exponent over denominator left parenthesis 3 to the power of 4 right parenthesis to the power of 4.2 end exponent cross times 3 end fraction equals space fraction numerator 3 to the power of 14.4 end exponent cross times 3 to the power of 5.4 end exponent over denominator 3 to the power of 16.8 end exponent cross times 3 end fraction

open square brackets because space straight a to the power of straight m space cross times space straight a to the power of straight n space equals space straight a to the power of straight m plus straight n end exponent comma space space straight a to the power of straight m over straight a to the power of straight n space equals space straight a to the power of straight m minus straight n end exponent close square brackets

equals space 3 to the power of 14.4 plus 5.4 end exponent over 3 to the power of 16.8 plus 1 end exponent space equals space 3 to the power of 19.8 end exponent over 3 to the power of 17.8 end exponent equals space 3 to the power of 19.8 minus 17.8 end exponent space equals space 3 squared space equals space 9

126 Views

24.

square root of 6 plus square root of 6 plus 6 plus.... end root end root

is equal to

116 Views

25.

open square brackets fraction numerator 1 over denominator 1 space cross times space 2 end fraction space plus space fraction numerator 1 over denominator 2 space cross times 3 end fraction space plus space fraction numerator 1 over denominator 3 space cross times space 4 end fraction space plus.... space plus space fraction numerator 1 over denominator 99 space cross times space 100 end fraction close square brackets

is equal to

$1 over 9900$
$99 over 100$
$100 over 99$
$100 over 99$

146 Views

26.

fraction numerator 0.1 space cross times space 0.1 space cross times space 0.1 space plus space 0.02 space cross times space 0.02 space cross times space 0.02 over denominator 0.2 space cross times space 0.2 space cross times space 0.2 space plus space 0.04 space cross times space 0.04 space cross times space 0.04 end fraction

is equal to

0.125
0.250
0.500
0.500

153 Views

27.

fraction numerator left parenthesis 0.87 right parenthesis cubed space plus space left parenthesis 0.13 right parenthesis cubed over denominator left parenthesis 0.87 right parenthesis squared space plus space left parenthesis 0.13 right parenthesis squared space minus space left parenthesis 0.87 right parenthesis space cross times space left parenthesis 0.13 right parenthesis space end fraction

$1 half$
2
1
1

102 Views

28.

3 over 4 open parentheses 1 plus 1 third close parentheses space open parentheses 1 plus 2 over 3 close parentheses space open parentheses 1 minus 2 over 5 close parentheses space open parentheses 1 plus 6 over 7 close parentheses space open parentheses 1 minus 12 over 13 close parentheses

is equal to

$2 over 13$
$1 over 7$
$1 over 6$
$1 over 6$

95 Views

29.

The value of:
$fraction numerator left parenthesis 0.67 space cross times space 0.67 space cross times space 0.67 right parenthesis space minus space left parenthesis 0.33 space cross times space 0.33 space cross times space 0.33 right parenthesis over denominator left parenthesis 0.67 space cross times space 0.67 right parenthesis space plus space left parenthesis 0.67 space cross times space 0.33 right parenthesis space plus space left parenthesis 0.33 space cross times space 0.33 right parenthesis end fraction$ is

128 Views

30.

The value of :
$4 minus fraction numerator 1 over denominator 1 plus begin display style fraction numerator 1 over denominator 3 plus begin display style fraction numerator 1 over denominator begin display style fraction numerator 8 plus 1 over denominator 4 end fraction end style end fraction end style end fraction end style end fraction$ is