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katovenus [111]
3 years ago
9

You are filling a bookcase with books. The bookcase is 3 feet wide. Your hardcover books are 1 1/2 inches wide and your paperbac

k books are 3⁄4 inches wide. If you have already placed 8 hardcover books on the shelf, what is the maximum number of paperback books you can also fit on the shelf?
Mathematics
1 answer:
katrin [286]3 years ago
4 0

Answer:

32 paperback books

Step-by-step explanation:

Given that :

Width of hardcover books = 1 1/2 inches

Width of paperback books = 3/4 inches

Number of hardcover books already on shelf = 8

Total width of shelf = 3 feets

1 foot = 12 inches

Hence, total shelf width in inches = (12 * 3) = 36 inches

Total width of hardcover books = (8 * 1 1/2) = 12 inches

Total shelf width left = (36 - 12) inches = 24 inches

Maximum number of paperback books :

Total shelf width left / paperback width

24 inches / (3/4)inches = 32 paperback books

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Complete Question

Jessica pays a flat rate of $70 for her cell phone and is charged $0.05 for every text she sends. Jessica wants to spend less than $80.00 per month on her cell phone. Write and solve an inequality that shows how many text messages Jessica must limit herself to in order to keep her monthly bill less than $80.00.

Answer:

<em>Inequality: </em>70 + 0.05x < 80

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Let x represents the minimum number of SMS.

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Considering that she pays a flat rate of $70.

The inequality to represent the minimum number of SMS she needs to send is:

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