The country of Mathlandia is holding its presidential election this week. There are three candidates (A, B, C), and each eligible voter can vote for two of them. The candidate with the most total votes wins the election. Here is a summary of the results:
Half of the eligible voters vote for candidate A, and divide their second vote among B and C in the ratio of 6:3.
Half of the other eligible voters cast their vote for candidate B, and divide their second vote between A and C in the ratio of 1:4.
Two-thirds of the remaining eligible voters vote for C and divide their second vote between A and B in the ratio of 1:1.
540 of the eligible voters do not vote at all.
Questions:
How many votes does each candidate receive?
How many eligible voters are there in Mathlandia?

Aheated piece of metal cools according to the function c(x) = (.5)x ? 7, where x is measured in hours. a device is added that aids in cooling according to the function h(x) = ? x ? 2. what will be the temperature of the metal after two hours?

You have learned about the six trigonometric functions, their definitions, how to use them, and how to represent them graphically. the sine, cosine, and tangent trigonometric functions can be paired with their reciprocal functions, cosecant, secant, and cotangent, respectively. think about how each function is related to its reciprocal function.how are the graphs of the reciprocal functions related to their corresponding original functions? what happens to the graphs of the reciprocal functions as x approaches the zeros of the original functions? describe how you would teach friends with different learning styles (visual-spatial, aural-auditory, verbal-linguistic, physical-bodily-kinesthetic, logical-mathematical, social-interpersonal, and solitary-intrapersonal) how to graph the reciprocal functions

Identify the expression equivalent to 4(x + x + 7) − 2x + 8 − 4 by substituting x = 1 and x = 2.