Leonard needs to design a mat with an 8×10 opening for a photo that he is going to frame. He wants the mat to have the same width on all four sides, as shown in the following figure. A small, 8-inch-by-10-inch rectangle inside a larger rectangle. The distance between the outer edges of the 2 rectangles is labeled w.

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The combined area of the photo and the mat needs to be 224 square inches.

Part A: Which equation represents the combined area of the photo and the mat?

Part B: What is the factored form of the equation that represents the combined area of the photo and the mat?

Select two answers: one for Part A and one for Part B.

A: (2w−8)(2w−10)=224
B: 4(w+3)(w−12)=0
A: (8−2w)(10−2w)=224
A: (8+2w)(10+2w)=224
B: 4(w−3)(w+12)=0

Draw a tape diagram to represent each situation. for some of the situations, you need to decide what to represent with a variable andre bakes 9 pans of brownies. he donates 7 pans to the school bake sale and keeps the rest to divide equally among his class of 30 students

An energy drink company claims that its product increases students' memory levels. to support its claims, the company issues advertisements claiming that 8 out of 10 people (chosen randomly from across the country) who tried their product reported improved memory. the missing component in this study is a .

Carla was trying to decide what to do saturday evening. she has $100 available to spend for the evening. she has narrowed her choices down to these events: braves game, a concert of an artist she likes, or the georgia aquarium. admission to the braves game is $25, hot dogs cost $10, sodas cost $5. the concert costs $25 for admission, $20 for a souvernir t-shirt, and $10 for a soda. the georgia aquarium has the show of a lifetime with an all you can eat and drink that costs $100. carla does not want to take any driving chances, so in addition to the cost of the aquarium, she will also need to pay for her uber/lyft, which is $15 each way. which option should carla choose if she wants to spend the least? based on that choice, what then is carla's oppotunity cost? fully explain your answer in at least one paragraph.