A baker must spend no more than $400 to order eggs for cookies and cupcakes. Supplies for each batch of cookies costs $2, and su
pplies for each batch of cupcakes costs $10. This relationship is shown in the graph. The baker needs to make at least 20 more batches of cookies than cupcakes. Which choice is a reasonable solution?
A.)60 batches of cookies and 40 batches of cupcakes B.)20 batches of cookies and 40 batches of cupcakes C.)40 batches of cookies and 20 batches of cupcakes D.)30 batches of cookies and 30 batches of cupcakes
A.)60 batches of cookies and 40 batches of cupcakes B.)20 batches of cookies and 40 batches of cupcakes C.)40 batches of cookies and 20 batches of cupcakes D.)30 batches of cookies and 30 batches of cupcakes
2 answers:
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Answer:
The width of the walkway is 4 feet.
Step-by-step explanation:
The garden and a walkway around its perimeter have an area of 460 square feet.
The length of the garden = 15 feet
The width of the garden = 12 feet
Assuming that walkway is of uniform width, we can solve the following equation.
Expanding this we get;
We will solve this using quadratic equation formula:
Here a = 4 , b = 54 , c = -280
We get the roots as x = 4 and x =
Neglecting the negative value, we will take x = 4 feet.
Hence, the width of the walkway is 4 feet.