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3 years ago

Mrs. Jones has a local bakery. Last week this expression shows how many peanut butter cupcakes she baked. 5 (2x -4) + 3(3 + 4x)

Mathematics

1 answer:

Natasha_Volkova [10]3 years ago

7 0

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:

$5(2x -4) + 3(3 + 4x)$

Applying distributive property:

$10x-20+9+12x$

Grouping similar terms:

$22x-11$

Applying common factor $11$ :

$11(2x-1)$ 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 $x=6$ :

$11(2(6)-1)$

$11(12-1)=11(11)=121$ Hence, Mrs. Jones baked 121 cupcakes last week

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Step-by-step explanation:

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The easiest method to solve this problem is to use the Pythagorean theorem to find the height of the cone. Then one can substitute the values given and found on the cone into the formula to find the surface area in order to solve for the surface area of the given cone.

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It sounds like everything is being described in reference to angle A, so a good starting point is to pick a variable to represent the measure of angle A. I'm going to use "a" for that.

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