Bosco

The 6th graders at RWMS are going to Stars and Strikes.     

60% of the 120 students want to go bowling first.     

How many students want to go bowling first?     

60% of 120  =  0.60 x 120  =  72     

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A school is preparing a field trip for its 450 students and teachers, utilizing its school buses for transportation. But the school only has 3 buses, each of which can carry up to 68 people. So the school is borrowing buses from a nearby school that operates smaller 42- seats buses. At least how many small buses should the school borrow?     
 

6.62     

5.85     

5     

6     

450 – (3)(68)  =  450 – 204  =  246     

246 / 42  =  5.857     

You can't have 0.857 of a bus, so the answer should be 6.     

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rectangle ABCD has vertices a(-1,3) and b(3,0) whats the slope of BC     

m  =  (0 – 3) / (3 – (–1))  =  –3 / 4     

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Alex is selling t-shirts for a school fundraiser, it will cost him $300 to start but will earn $7.50 for each t-shirt he sells.     

Let P represent the profit and let n represent the number of t-shirts.     

Write the equation of the line that represent the situation.     

Profit is income minus expenses.     P  =  7.50 n – 300     

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A line and a circle intersect at A and B as shown below. Find the distance between A and B.     
The circle is x^2 + y^2 = 1, and the line is y = x.     

x² + y² = 1 is a circle, centered on the origin, and radius 1.    

y = x is a straight line, that passes through the origin.    

Since the straight line passes through the center of the circle,    

it creates a diameter through the intersection points A and B.    

The radius of the circle is 1, so its diameter is twice that.    

So, the distance between A & B ( i.e., the diameter ) is 2.    

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What is the largest value of k such that the equation 6x-x^2=k has at least one real solution?     

                         6x – x²  =  k     

                         6x – x²  – k  =  0     

times –1             x² – 6x + k  =  0     

discriminant        (–6)² – (4)(1)(k)  must be > 0 to have real solution(s)     

                            36 – 4k  >  0     

                                      k  <  9     

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How do you solve this equation     

Find all values of c such that 3*(2c + 1) = 28*(3*c) - 9.  If you find more than one value of c, then list your values in increasing order, separated by commas.     

Just remember PEMDAS.            3 • (2c + 1)  =  28 • (3 • c) – 9     

                                                            6c + 3   =  84c – 9     

                                                                   12  =  78c     

                                                                      c  =  12 / 78     

reduces to                                                     c  =  6 / 39     

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