Translate the sentence into algebraic symbols. If a number is increased by 27 and then the sum is multiplied by seven, the
result is 150.

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  7(x +27) = 150

Step-by-step explanation:

Let x represent the number.

  "a number increased by 27" . . . . x +27

  "the sum multiplied by 7" . . . . . 7(x +27)

  "the result is 150" . . . . . . 7(x +27) = 150

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.  

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