Ethan surveyed 120 registered voters at random out of a total of 12,600 registered voters in town. He asked them who they planned to vote for in the upcoming election. The results of his survey conducted on Sunday are shown below.

Based on the results of this survey, what is the total number of registered voters expected to vote for Ms. Gibson in the upcoming election?

when solving can you please explain your )

Based on the results of the survey, the total number of registered voters expected to vote for Ms. Gibson in the upcoming election are 4725 votes

Step-by-step explanation:

Ms. Gibson has 45 votes of 120 votes

let Ms. Gibson vote of 12,600 be x

45      120

x        12600

cross multiply

120x = 45 x 12600

120x = 567,000

Divide all through by 120

x = 567000 / 120

x = 4725

Based on the results of the survey, the total number of registered voters expected to vote for Ms. Gibson in the upcoming election are 4725 votes

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

your answer is 228

step-by-step explanation:

add the top and bottom bases together, then divide them by 2, then multiply by the height.