Which statement best explains why the sum of the areas of the two white squares in Figure 2 is the same as the area of the white square in Figure 1? a) In each triangle, the length of side a plus the length of side b equals the length of side c. That means that a^2 + b² = c^2.
b) In each figure the total area is equal and the area of the 4 triangles is equal, so the remaining white area in each figure must also be equal.

c) The combined area of the four triangles is equal to the area of the large white square. Tumble

Acompany wants to reduce the dimensions of its logo by one fourth to use on business cards. if the area of the original logo is 4 square inches, what is the area of the logo that will be used on the business cards?

Which number line correctly shows 0.8 + 0.3?

Acaterer knows he will need 60, 50, 80, 40 and 50 dinner napkins on five successive evenings. he can purchase new napkins initially at 25 cents each, after which he can have dirty napkins laundered by a fast one-day laundry service (i.e., dirty napkins given at the end of the day will be ready for use the following day) at 15 cents each, or by a slow two-day service at 8 cents each or both. the caterer wants to know how many napkins he should purchase initially and how many dirty napkins should be laundered by fast and slow service on each of the days in order to minimize his total costs. formulate the caterer’s problem as a linear program as follows (you must state any assumptions you make): a. define all variables clearly. how many are there? b. write out the constraints that must be satisfied, briefly explaining each. (do not simplify.) write out the objective function to be minimized. (do not simplify.)