In a student government election, 7,000 students cast a vote for the incumbent, 900 vote for the opponent, and 100 cast a protest vote. what was the ratio of the incumbent”s votes in the total number of votes?

-jarvis

The ratio of the incumbent”s votes in the total number of votes = 7:8

Step-by-step explanation:

Given:

Number of students who cast vote for the incumbent = 7,000

Number of students who cast vote for the opponent = 900

Number of protest votes = 100

To find ratio of the incumbent”s votes in the total number of votes.

Solution:

Total number of votes cast =

Number of votes for incumbent =

Ratio of incumbent”s votes in the total number of votes can be calculated as:

⇒

⇒

Simplifying to simplest fraction by dividing numerator and denominator by 1000.

⇒

⇒

Thus, ratio of the incumbent”s votes in the total number of votes = 7:8

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)