Bosco

On the graph of y=(x+2)^2-100, how many points are there whose coordinates are both negative integers?    

Let's change "points" to "integers" ... remembering that a line contains infinite points.    

Any x that is –11 < x < –1 will give a negative y.  Looks like there are 11 of them.    

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You are using cones of varying sizes to serve ice cream in the ice cream parlor where you work. One of the cones is 10 centimeters tall and has a diameter of 5 centimeters.Rounded to the nearest tenth of a cubic centimeter, how much ice cream will completely fill the ice cream cone?    

V  =  (1/3)(π r²)(h)    

V  =  (1/3)(3.14159)(2.5²)(10)    

V  =  (1/3)(3.14159)(6.25)(10)    

V  =  65.44979  rounded to the tenth is  65.4    

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1 out of 6 Nummy Cereal boxes has a bobblehead of Ricky Gervais inside. If Katie buys 3 Nummy Cereal boxes, what is the probability that at least one will have a Ricky Gervais bobblehead inside? Express your answer as a common fraction.     

(1 / 6) • 3  =  3 / 6  =  1 / 2    

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You go for a bike ride. You ride your bike straight at 10 miles-per-hour for 90 minutes.You then turn around to travel back to your original starting point. If it takes you 2 hours to get back, what was your average speed on your way back?    

(10 ^mi/_hr) • (1.5 hr)  =  15 mi    

(15 mi) / (2 hr)  =  7.5 ^mi/_hr    

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Salem is making sugar cookies. He needs 2 4 /6 cups of white sugar and 1 1/ 6 cups of brown sugar. How much total sugar does Salem need to make his sugar cookies?    

                            2 ⁴/₆   cups of white sugar    

                            1 ¹/₆   cups of brown sugar    

added together    3 ⁵/₆   cups total sugar     

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sally spins a fair spinner numbered 1-6 and flips a fair coin. what is the probability of obtaining a multiple of 2 and a tail   

probability of landing on the tail is            1 / 2    

probability of landing on a 2, 4, or 6 is     1 / 2     (it's 3 / 6 but that's the same as 1 / 2)    

probability of both happening     (1 / 2)(1 / 2)  =  1 / 4    

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For senior night, the vollyball team sold 850 tickets for the big game and made 6050 dollars. If the presale tickets were 5 dollars and the tickets at the door were 9 dollars, how many tickets were sold at the door?    

5P  +  9D  =  6050     (eq 1)     

  P  +    D  =    850     multiply both sides of this times 5    

5P  +  5D  =  4250     (eq 2)    

subtract (eq 2) from (eq 1)    

          5P  +  9D  =  6050    

          5P  +  5D  =  4250    

                     4D  =  1800    

                       D  =    450  at the door    

substitute 450 back into either equation ... pick (eq2, it's easier)    

           P  +  450  =  850    

                       P  =  850 – 450    

                       P  =  400  presale    

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How many positive integers are there whose digits strictly decrease from left to right, and the sum of the digits is 6?    

6    

5 1    

4 2    

3 2 1    

I guess that's it for me.  4    

I can't think of any more.    

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