Express each of the following scales in the form 1: r.

(a) 1 in : 4 yd

(b) 32 yd : 1 mi

(c) 4 cm : 500 m,

(d) 0.2 cm : 0.04 km (remember 1 mile = 5280 ft)

The perimeter of a triangle is 117 inches. If one side of the triangle is four more than the shortest side, and the longest side is 11 more than the shortest side, find the lengths of the three sides?

The height (h) of a fireball launched from a Roman candle with an initial velocity of 64 feet per second is given by the equation h (t) = - 16t^2 + 64t, where t is time in seconds after launch. Use the graph of this function to answer the questions.

Rachel decided to have bouncy balls as a party favor. She determines that her ratio of bouncy ballsTwo guest is 9:3. Explain how to find the number of balls needed for30 guest

Is the product of two integers positive, negative, or zero?

What is the cube root of 10^-3

5 boxes of candles contain a total of 60 candles. Every box holds the same number of candles in each box. How many boxes does the store have if they have 8 boxes?

Which of the following is not an integer? 17 -45 0.54

Write the equation of the line whose slope is 1/3 and y-intercept is - 3. Write the answer in slope-intercept form.

Last week, Rick's Math Website had the following number of visitors: Monday = 250, Tuesday = 501, Wednesday = 260, Thursday = 490 and Friday = 711. About how many visitors came to Rick's Math Web last week?

For each cost function (given in dollars), find (a) the cost, average cost, and marginal cost at a production level of 1000units; (b) the production level that will minimize the averagecost; and c) the minimum average cost.