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The answer is 8.

   What is the answer to this problem, -3.2r + 0.57= -2.95     

   What you do to one side, do the same to the other side.     

   –3.2r + 0.57  =  –2.95     

   –3.2r + 0.57 – 0.57  =  –2.95 – 0.57    

   –3.2r             =  –3.52     

   –3.2r / –3.2   =  –3.52 / –3.2     

          r             =  +1.1     

   _.     

   what is -19 to the fifth power * -19 to the 11th power?     

   To multiply exponential expressions with the same base, keep the base and add the exponents.     

   (–19)⁵ • (–19)¹¹  =  (–19)^{(5 +11)}  =  –19¹⁶     

   _.     

I misspoke.  The opportunity to edit has already passed.     

Of course, I meant either p or (q + r) has to be positive.     

The triangle with vertices at (1,0), (0,1), and (k,k) has area 1/2. Find k.     

A triangle with vertices (1,0), (0,1), and (0,0) has area 1/2.     

So does a triangle with vertices (1,0), (0,1), and (1,1)     

That would make k equal either 0 or 1.     

  _.     

Distinct prime numbers p, q, and r satisfy the equation p(q + r) = 16.     

Which of the following prime numbers must either q or r be equal to?     
2 3 5 7 11     

For p(q + r) to produce a positive product – that is, 16 – both p and (q + r) have to be positive.     

The only way p can be positive is if it is 2.  The only way the product can be 16 is if (q + r) = 8.     

So p(q + r) is either 2(3 + 5) or 2(5 + 3).  Either q or r is either 3 or 5.     

   _.         

   3+6*5+4/2-7 add parentheses so that the value of the expression is 38     

   3  +  6  • ( 5  +  4  /  2 ) –  7     

   3  +  (6 • 7)  –  7     

   3  +  42  –  7     

   42 – 4     

   38     

   _.     

   Elita bought a jacket that was on sale for 45% off the original price.     

   If she paid $110 for the jacket when she checked out, what was the original price of the jacket?     

   OP – 0.45 OP  =  110     

            0.55 OP  =  110     

                    OP  =  110 / 0.55     

                    OP  =  200     

   _.     

   Nora and Renata had an equal number of polished stones at first.     

   After Nora received 65 more stones and Renata lost 23 stones,     

   Nora had three times as many stones as Renata.     

   How many stones did they have altogether at first?     

   N  =  R     

   N + 65 = 3 (R – 23)     —>     N + 65  =  3 (N – 23)     

                                                 N + 65  =  3N – 69     

                                                      134  =  2N     

                                                          N  =  67     

                                       N = R so     R  =  67     

                                      altogether           134     

   check answer     

              N + 65  =  3 (R – 23)     

   Does 67 + 65  =  3 (67 – 23) ?     

                  132  =  201 – 69     

                  132  =  132  True     

   _.     

   If (2x + 5)(x + 3) = 14, find the sum of the possible values of x.     

   (2x + 5) = 0     —>     2x = –5     —>     x = –2.5     

   (  x + 3) = 0     —>                                 x = –3.0     

                                 total of the two x's         –5.5     

   _.     

   What is the solution set for (2x - 7)^2 = 25?     

   (2x – 7)²  =  25     —>     2x – 7 = +5     —>     x = 6     

                                           2x – 7 = –5     —>     x = 1     

   _.     

   A list of 10 positive integers, each less than 15, has an average of 6.     

   What is the maximum number of ones (the number 1, not the digit) that could be in the list?     

   number of 1's    

        10               make the other 50 with 0 integer     -   No     

          9               make the other 51 with 1 integer     -   No     

          8               make the other 52 with 2 integers   -   No     

          7               make the other 53 with 3 integers   -   No     

          6               make the other 54 with 4 integers   -   Yes  14, 14, 14, 12     

   _.     

   Which is the following values for x will make the inequality true 5(2+n)>-10     

   By inspection we can see that when n = –4, then (5)(2 – 4) = –10     

   Therefore, any value of n greater than –4 makes (5)(2 + n) > –10     

   _.     

   The length of a room is 16.43 m, its width is 4.9 m, and its height is 3.25 m.     

   What volume does the room enclose with correct amount of significant figures?     

   V   =  16.43 m • 4.9 m • 3.25 m     

   V  =  261.64775 m³   —>   rounds to 261.6 m³     

   When multiplying several factors with varying lengths     

   of decimal fractions, the rule is to round the product to     

   the same number of decimal places as the factor with     

   the fewest decimal places.  In this case, one decimal     

   place, because the factor with the fewest is 4.9.     

   _.     

The answer is 17, 14, 9, 10, 12, 8.

   If you take a distance and divide it by a time to get the speed, how would you input 7 min, 29.49 sec in the formulation? By 7.29.49?     

   No, you've got two units there:  minutes and seconds.     

   You have to convert that to a single unit.  It could be minutes or it could be seconds,     

   but not both.  It could even be hours, but that would require additional calculations.     

   If you want hours, you can figure that up yourself; my example would guide you.     

   29.49 seconds / 60 ^seconds/_minute  would give you 0.4915 minute,     

   which you could combine with the 7 minutes, then divide 7.4915      

   into the distance to calculate the speed, feet/second or whatever.     

   _.     

The answer is x^4 + 3x + 1, x^6 + x + 1, and x^4 - x^3 + 3x.

The answer is h^2/21.

   If you divide the numerator and denominator of 42/72 by 6 you will get an Equivalent Fraction     

   That is true.     

   This process is called "reducing the fraction" and     

   sometimes is specified reducing "to lowest terms".     42/72 = 7/12     

   _.