All Answers 358402 Answers

The answer is 20/3.

The answer is 3*sqrt(2).

The answer is 28*sqrt(3).

The answer is 16.

The answer is 5*sqrt(7).

The answer is 8*sqrt(3).

Circle O and circle P, with radii 3 and 8, respectively, are both tangent to line l at H. Enter all possible lengths of OP separated by commas.     

Sketch it.  If O & P are on opposite sides of I, then OP is 8 + 3  =  11     

                 If O & P are on the same side of  I, then OP is 8 – 3  =    5     

_.     

On the graph of y = (x + 2)^2 - 10, how many points are there whose coordinates are both negative integers?     

                          y  =  x² + 4x + 4 – 10     

                          y  =  x² + 4x – 6     

                          when  x = –1,  y =   –9     

                                     x = –2,  y = –10     

                                     x = –3,  y =   –9     

                                     x = –4,  y =   –6     

                                     x = –5,  y =   –1     

                          So, there are 5 such points.     

_.     

Janice bought 30 items each priced at 30 cents, 2 dollars, or 3 dollars. If her total purchase price was $48.00, how many 30-cent items did she purchase?     

               10 @ 0.30  =    3.00     

               15 @ 2.00  =  30.00     

                 5 @ 3.00  =  15.00     

totals       30 items         48.00 dollars     

_.     

The answer is 12.

The answer is 10/7.

The answer is 8/3.

                        Area of Hexagon     

probability  =  ––––––––––––––––     

                        Area of Rectangle     

A_hexagon  =  (3)(sqrt(3))(1.8²) / 2     

                =  8.418     

A_rectangle  =  (26.2)(13)  =  340.6     

probability  =  8.418 / 340.6     

                   =  0.0247               as a percentage, approx 2.5%     

_.     

call the amount deposited in the 3% account "X"     

(0.03)(X) + (0.06)(55000 – X)  =  195.00     

         0.03X + 330.00 – 0.06X  =  195.00     

                                   – 0.03X  =  – 135.00     

                                             X  =  4500     <— amt @ 3%

                           5500 – 4500  =  1000     <— amt @ 6%     

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