1 Imagine you throw three hoops over these cones Add together the number of each
cone you get a hoop on.
You have three throws a turn.
What different totals can you
make on each turn?
30
90
40

10 different total we can make.

Step-by-step explanation:

Consider the provided information.

It is given that we have three hoops and three cones of numbers 30, 40 and 90.

We are assuming that if we throw a hoop, it always falls on a cone.

Then the different totals are shown below:

If all three hoops fall on the same cone.

1) 30+30+30=90

2) 40+40+40=120

3) 90+90+90=270

If two out of three hoops fall on the same cone.

4) 30+40+40=110

5) 30+90+90=210

6) 40+30+30=100

7) 40+90+90=220

8) 90+30+30=150

9) 90+40+40=170

If all the hoops fall on the different cone.

10) 30+40+90=160

Hence, 10 different total we can make.

step-by-step explanation:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since     2010 0     1     2     3       4       5

profits made in 1000's   39       84     111     120   111     84

we find that profit gradually increases form 2010 to 2013 upto 120,   then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

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