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Kevin and Randy have a jar containing
43?coins, all of which are either quarters or nickels. The total value of the coins in the jar is ?$nbsp 6.95
How many of each type of coin do they? have?
Write as a system of 2 equations in 2 unknowns. Solve each system by substitution and show each step. Perimeter of a rectangle : the length of a rectangular swimming pool is 15 feet longer than the width.
A number, a, is 11 more than twice another number, b. The sum of the numbers is 32. What is the value of the smaller number?
A plane can fly 1280 miles in the same time as it takes a car to go 400 miles. If the car travels 110 mph slower than the plane, find the speed of the plane.
A manufacturer of lightning fixtures has a daily production costs of C(x)=800-10x+0.25x^2 where C is the total cost (in dollars) and x is the number of units produced.How many fixtures should be produced each day to yield a minimum cost?
This is the corporate mission statement of Coca Cola. "To refresh the world...To inspire moments of optimism and happiness...To create value and make a difference."
consumer banker association released a report showing the lengths of automobile leases for new automobiles. the results
1) Formulate the problem as a linear problem, with the optimal solution providing the hours each consultant should be scheduled for each client to maximize the consulting firms billing. what is the schedule and what is the total billing?
Prove the quotient map π : G → G/N is a continuous group-homomorphism. Suppose π: G → G/N is the quotient map and B ⊂ G is an arbitrary set. Prove that π-1(π(B)) = BN. Thus conclude π is an open map
The complete bipartite graph Km,n is a graph with m + n vertices. These vertices are divided into a set of size m and a set of size n. We call these sets the parts of the graph. Within each of these sets there are no edges. But between each pair o..
A steep mountain is inclined 79 degree to the horizontal and rises 3100 ft above the surrounding plain. A cable car is to be installed from a point 900 ft from the base to the top of the mountain. Find the shortest length of cable needed.
Let x represent the number. Use the given conditions to write an equation. Solve the equation and find the number.
two men on opposite sides of a tv tower of height 26 m notice the angle of elevation of the top of this tower to be 45
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