kinggodjordan
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Mrs. Jones has a local bakery. Last week this expression shows how many peanut butter cupcakes she baked. 5 (2x -4) + 3(3 + 4x)
Part A: What is the simplified form of the expression above?

Part B: If x = 6, how many cupcakes did Mrs. Jones bake last week?

Respuesta :

cryssatemp

Answers:

A: 11(2x-1)

B: 121 cupcakes

Step-by-step explanation:

Part A:

We have the following expression that models the quantity of cupcakes Mrs. Jones baked last week:

[tex]5(2x -4) + 3(3 + 4x)[/tex]

Applying distributive property:

[tex]10x-20+9+12x[/tex]

Grouping similar terms:

[tex]22x-11[/tex]

Applying common factor [tex]11[/tex]:

[tex]11(2x-1)[/tex] This is the simplified expression

Part B:

Now that we have the simplified expresion, we have to evaluate how many cupcakes did Mrs. Jones bake if [tex]x=6[/tex]:

[tex]11(2(6)-1)[/tex]

[tex]11(12-1)=11(11)=121[/tex] Hence, Mrs. Jones baked 121 cupcakes last week