Bosco

   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     

   _.     

   Divide £48 in the ratio 7:5     

   When you see 7:5, you know there are 12 parts,     

   with 7 of them over here and 5 of them over there.     

   48 / 12 gives you that each of the 12 parts is 4.     

   7 • 4 : 5 • 4  =  28 : 20     

   _.     

   determine the slope of a line that contain the given points 6,3 and 8,8     

             y₂ – y₁         8 – 3         5     

   m  =  –––––––  =  –––––  =  –––  =  2.5     

             x₂ – x₁         8 – 6         2     

   _.     

   What is a mean     

   The mean is just another word for the average.     

   You add a bunch of numbers together to get the total,     

   then divide the total by how many numbers there were.     

   example:  the mean of  2, 3, 5, 7, 11, 13, & 17     

                                        2 + 3 + 5 + 7 + 11 + 13 + 17 = 58     

                                        58 / 7 = 8.2857     

   The mean is different from the median, in that the median is     

   just the number that there are the same number of numbers     

   less than it as there are more than it.  In the above example,     

   the median is 7 because there are three numbers to the left     

   and three numbers to the right.     

   _.     

   what is .16 in fraction     

   0.16 = 16 / 100     Do you need help reducing it?     

           =   4 / 25     

   _.     

   44/48 = n/36     

    44         n     

   –––  =  –––     

    48        36     

   cross multiply     

   36 • 44  =  48 • n     

         48n  =  1584     

             n  =  1584 / 48     

             n  =  33     

   _.     

   Fill in the blanks to make the equation true.     

   (___)^{-1/3} = (___)^{-1/2}     

    -72 -45 -9 -4 -18 -27 -64 -16 -25     

   Okay, the cube root of 64 is 4     

   and the square root of 16 is 4     

   but I can't make the square root of –16 work     

   with the negative sign inside the parentheses.     

   .     

   Fill in the blanks to make the equation true.     

   sqrt(___) + sqrt(___) = sqrt(___)     

   12 28 42 60 4 9 18 27 56 8 16 50 25 40 1 44     

   One solution is sqrt(4) + sqrt(9) = sqrt(25)     

   There might be other solutions.     

    I stopped looking when I found one.  

   edited to add another:  sqrt(1) + sqrt(16) = sqrt(25)     

_.     

The formula for the area of a trapezoid is A=1/2h(b1+b2) if teh area of the trapezoid is 847 square centimeters and it's height is 60.5 centimeters. Which of the following could be the length of one of the bases?     

A  26 cm        B  29 cm        C  32 cm        D  35 cm     

Area  =  (¹/₂) • h • (b₁ + b₂)     

  847  =  (¹/₂) • 60.5 • (b₁ + b₂)     

  847  =  (30.25) • (b₁ + b₂)     

(b₁ + b₂)  =  847 / (30.25)     

(b₁ + b₂)  =  28     

The answer has to be A because     

all the other answers are too large     

to add the other base to.     

check answer     

Area  =  (¹/₂) • h • (b₁ + b₂)     

          =  (¹/₂) • 60.5 • (26 + 2)     

          =  (¹/₂) • 60.5 • (28)     

          =  847   True     

   _.     

   How do I do the perimeter of a rectangle which has square roots in the length and width, for example:     

   Length = 8 + sqr(3) and Width = sqr(6).     

   The same as the usual way.  Don't let funny looking numbers scare you.     

   P  =  2L + 2W     

   P  =  (2 • (8 + sqrt(3) ) )  +  (2 • sqrt(6) )     

   P  =  16 + 2sqrt(3) + 2sqrt(6)     

   P  =  16 + (2 • (sqrt(3) + sqrt(6) )     

   Or you can use the square root function on a calculator to get the values.     

   P  =  (2 • (8 + 1.732) )  + (2 • 2.449)     

   P  =  (2 • 9.732) + (2 • 2.449)     

   P  =  19.464 + 4.898     

   P  =  24.362     

   _.