Stephanie has started a small company making organic honey she makes large and small containers. she has found the cost of running her business to have a linear relationship which can be 5.5x + 7.5y =930. she wants to sell a small container for $12 in a large container for $15 earn $1920. that creates a linear relationship modeled by 12x + 15y = 1920. how many of each kind of organic shpyld she sell fulfill her revenue and cost projections? (hint: 7.5* -2 = -15)

Stephanie has sold 60 small containers and 80 large containers to fulfill her revenue and cost projections.

Step-by-step explanation:

Given:

Equation modelling the cost of running her business =

Also Given:

Cost of small container = $12

Cost of large container = $15

Total earnings is = $1920

Equation modelling his total earnings =

Now we need to find the number of each kind of containers she sold.

From above equation we can say that;

Number of small container is denoted by 'x'.

Number of large container is denoted by 'y'.

To find the number of each type of container she sold we will solve both the equations.

First we will will multiply equation 1 from 2 we get;

Now we will subtract equation 3 from equation 2 we get;

Now Substituting the value of 'x' in equation 1 we get;

Hence Stephanie has sold 60 small containers and 80 large containers to fulfill her revenue and cost projections.

∠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.

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step-by-step explanation: