Answer:
2.4
Step-by-step explanation:
⅝ of the votes were for blue. That leaves ⅜ of the votes remaining. 5/9 of the remaining ⅜ votes were for green, so you multiply 5/9 x ⅜ = 15/72 votes for green. ⅝ of the votes were for blue, so you can multiply the fraction by 9/9 to get 45/72. So 45/72 votes were for blue, and 15/72 votes were for green. That leaves 12/72 votes remaining, which were for red. Since the question says 48 votes out of the total number of votes were for red, this means 48/v = 12/72 (v = the total number of votes). Cross multiply and solve for v to get v = 288. The fraction for blue is ⅝, so you can say x/288 = ⅝ (x = the number of votes for blue). Cross multiply and solve for x to get x = 180 votes for blue.
Answer:
A(x) = 3x² + 43x + 14
Step-by-step explanation:
Area of a rectangle = length × width
length = x + 14
width = 3x + 1
Area of a rectangle = length × width
= (x + 14)(3x + 1)
= 3x² + x + 42x + 14
= 3x² + 43x + 14
express the area of each rectangle as a single polynomial in terms of x.
A(x) = 3x² + 43x + 14
No because he only surveyed the members of the chess club
Answer:
Remember that the slope of perpendicular lines are negative reciprocals of each other.Step-by-step explanation:y = 1 - 2x the slope is -2 the value of the x term.So the slope of the new line using point (- 1, 2) is 1/2.Now use y = mx + b where y = -1, x = 2, and m = 1/2 .y = mx + b-1 = 1/2(2) + b solve for "b", the y-intersect-1 = 1 + b-2 = bThe line that is perpendicular to y = 1 - 2x is y = 1/2x - 2
Step-by-step explanation:
