8 3 points
Write an equation to represent the problem and then solve. Mr. Mitchell purchased balloons at $0.45 each and a piñata for $9.50. His total bill was $17.15. Find the
number of balloons that Mr. Mitchell purchased.

0.45x + 9.50 = 17.15

He bought 17 balloons

Step-by-step explanation:

Let x represent the number of balloons that he purchased.

Since they are $0.45 each, the price from balloons can be represented by 0.45x

Add 9.50 to this, to represent the price of the pinata, and set it equal to 17.15

So, the equation will be 0.45x + 9.50 = 17.15

Now, solve for x:

0.45x + 9.50 = 17.15

0.45x + 7.65

x = 17

So, he bought 17 balloons

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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∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.