What is the final step in solving the inequality –2(5 – 4x) < 6x – 4?
1 answer:
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Answer:
Part a) The number of boxes needed will be 4
part b) The fraction of the box that is empty is
Part c) Are needed 2 cupcakes to fill the last box
Step-by-step explanation:
Part a) How many boxes will be needed for Polly to bring all the cupcakes to the party?
To find out the number of boxes needed, divide the total number of cupcakes by 4 (maximum number of cupcakes that fit in each box).
so
Round up
The number of boxes needed will be 4
Part b) If the bakery completely fills as many boxes as possible, what fraction of the last box is empty?
we know that
The maximum number of cupcakes per box is 4
The first three boxes have 4 cupcakes
The last box has
The fraction of the box that is empty is equal to the number of cupcakes missing to fill the box divided by the cupcake capacity of the box
Part c) How many more cupcakes are needed to fill this box
Subtract the number of cupcakes in the box from the cupcake capacity of the box
The last box has 2 cupcakes
The cupcake capacity of the box is 4
so
therefore
Are needed 2 cupcakes to fill the last box