The part of the us government that interprets laws is the

Final answer:

There were 81 new houses. Initially, 1/3 of them were sold, leaving 54 houses. Later on, 2/3 of the remaining houses were sold, leaving a total of 18 houses left to be sold.

Explanation:

The subject of this question is Mathematics and it appears to be suitable for a Middle School level. The problem is about understanding fractions applied to a real-life situation, specifically the sales of new houses in a neighborhood.

Let's begin by working out how many of the 81 houses were sold last month. Because the question states that '1 over 3' were sold, this equates to 81 divided by 3, which is 27 houses. We then deduct this number from the total of 81 to find the remaining houses. So, 81 - 27= 54 houses remained.

In this month, '2 over 3' of the remaining houses were sold. So, we calculate 2/3 of 54. Multiply 54 by 2 and then divide this by 3 to get 36 houses being sold this month.

Subtracting these 36 houses from the remaining 54 (i.e., 54 - 36), we find that there are 18 houses left to be sold.

Learn more about Fraction Calculation here:

brainly.com/question/33261284

#SPJ2

Answer:

50

Step-by-step explanation:

m<1+m<2+m<3 = 180    this forms a straight line

m<2 = 90 degrees

m<1 + 90 + m<3 = 180

Subtract 90 from each side

m<1 + 90-90 + m<3 = 180-90

m<1 + m<3 = 90

70 +m<1+m<2 = 180    this forms a straight line

70 + m<1 + 90 = 180

Combine like terms

160 + m<1 = 180

Subtract 160 from each side

160-160 + m<1 = 180-160

m<1 = 20

m<1 + m<3 = 90

20 + m<3 = 90

Subtract 20 from each side

20-20 +m<3=90=20

m<3 = 70

We want to find m<3 - m<1

m<3 - m<1

70 -20

50

Answer:

.272727.... = .27/(1 - .01) = .27/.99 = 27/99 = 3/11

Final answer:

To convert a repeating decimal to a rational number in simplest form, multiply the decimal by a power of 10 to eliminate the repeating part. Then, divide the result by the appropriate power of 10. For 0.27¯¯¯¯¯, the simplest form is 27/100.

Explanation:

To convert a repeating decimal to a rational number in simplest form, we can use the algebraic technique. Let x be the repeating decimal. Multiply x by a power of 10 so that all the repeating digits are to the left of the decimal point. Subtract x from the result to eliminate the repeating part. Finally, divide the result by the appropriate power of 10 to get the rational number in simplest form.

In this case, 0.27¯¯¯¯¯ is equal to 27¯¯¯¯¯/100¯¯¯¯¯. Now, let's simplify it by dividing both the numerator and denominator by their greatest common divisor, which is 1. The simplified form of 27¯¯¯¯¯/100¯¯¯¯¯ is 27/100.

Learn more about Converting repeating decimals to rational numbers here:

brainly.com/question/20104287

#SPJ2