4x = (130 - 2x) so x = 65/3
(3y + 40) + (130 -2x) = 180 because the angles are supplementary
plug in x
3y + 40 + 130 - 2(65/3) = 180
so 3y = 95/3
therefore y = 95/6
Answer: 276 guests were at the wedding.
Step-by-step explanation:
Let x represent the number of guests that were at the wedding.
The guests had to choose their meal from beef,chicken or vegetarian.
1/3 of the guests chose beef. This means that the number of guests that chose beef is x/3.
If 5/12 of the guests chose chicken, it means that the number of guests that chose chicken is 5x/12. The total number of guests that chose beef and chicken is
x/3 + 5x/12 = 9x/12
The number of guests that chose vegetarian is
x - 9x/12 = 3x/12
69 of the guests chose vegetarian. This means that
3x/12 = 69
3x = 12 × 69 = 828
x = 828/3
x = 276 guests
Answer:
A. y = 31x2 + 77x + 41
which agrees with option C in your list of possible answers.
Step-by-step explanation:
Since normally functions are represented on the x-y plane, it is common to replace h(x) with the "y" variable of the vertical axis where its values will be represented (plotted). Then the expression can be also written as follows:
18/9 = 6/3 because:
6/3 = 18/9 or = 2 whole