Frederick is working on a number puzzle and discovers that the product of the two base numbers is exactly twice as large as the sum of those same base numbers. on this, ?

Lance lived in portugal and brazil for a total of 14 months to learn portuguese. he learned an average of 130 new words per month when he lived in portugal, and an average of 150 new words per month when he lived in brazil. in total he learned 1920 new words. write a system of equations to represent the situation. use x to represent portugal, and y to represent brazil

Which expression is equivalent to (5x^7+7x^8) − (4x^4−2x^8)? a. 9x^8 + 5x^7−4x^4 b. 3x^8 + 7x^7 c. 12x^8 − 2x^4 d. 5x^8 + 5x^7 + 4x^4

Woodland bicycles makes two models of off-road bicycles: the explorer, which sells for $250, and the grande expedition, which sells for $350. both models use the same frame, but the painting and assembly time required for the explorer is 2 hours, while the time is 3 hours for the grande expedition. there are 375 frames and 450 hours of labor available for production. how many of each model should be produced to maximize revenue? a. 200 explorers 50 grande expeditions c. 225 explorers 0 grande expeditions b. 150 explorers 10 grande expeditions d. 325 explorers 50 grande expeditions