1. A rectangle has a length that is three feet more than twice its width. (a) If the width of the rectangle is represented (b) What would the perimeter of this by the variable w, give an expression for rectangle be if the width was 10 feet? the length of the rectangle in terms of w. (c) The perimeter of the rectangle is 78 feet. Set up an equation using w that models this situation. Solve it and state the values for both the width and the length of the rectangle.

Which shows the image of rectangle abcd after the rotation (x, y) → (–y, x)?

Each month, a shopkeeper spends 5x + 14 dollars on rent and electricity. if he spends 3x−5 dollars on rent, how much does he spend on electricity? for which value(s) of x is the amount the shopkeeper spends on electricity less than $100? explain how you found the value(s).

Using pert, adam munson was able to determine that the expected project completion time for the construction of a pleasure yacht is 21 months, and the project variance is 4. a) what is the probability that the project will be completed in 17 months? b) what is the probability that the project will be completed in 20 months? c) what is the probability that the project will be completed in 23 months? d) what is the probability that the project will be completed in 25 months? e) what is the due date that yields a 95% chance of completion?