First you need to find the amount of students who voted.
80 + 160 = 240
160 students out of 240 students who voted, voted for a bulldog. To find the percentage, you need to divide 160 by 240.
160/240 = .6 repeated
You need to move the decimal over two spaces to get the percentage. So then you have 66.6666%. Since it says to round to the nearest whole percent, you need to round the number right after the decimal. 6 rounds the number before it up so you get 67.
So the amount of students that voted for a bulldog is 67%.
Step-by-step explanation:
hope this helps, happy learning!!!
Answer:
(5x+3)(2x+4)=10x^2+26x+12
Step-by-step explanation:
You use FOIL (First, Outer, Inner Last)
First: 5x times 2x= 10x^2
Outer: 5x times 4= 20x
Inner: 3 times 2x= 6x
Last= 3 times 4
Combine 20x and 2x to get 26x
Answer: Option A
![y=\left \{ {{x^2 +2;\ \ x](https://tex.z-dn.net/?f=y%3D%5Cleft%20%5C%7B%20%7B%7Bx%5E2%20%2B2%3B%5C%20%5C%20x%3C1%20%5Catop%20%7B-x%2B2%3B%5C%20%5C%20x%5Cgeq1%7D%7D%20%5Cright.)
Step-by-step explanation:
In the graph we have a piecewise function composed of a parabola and a line.
The parabola has the vertex in the point (0, 2) and cuts the y-axis in y = 2.
The equation of this parabola is
Then we have an equation line![y = -x + 2 ](https://tex.z-dn.net/?f=%20y%20%3D%20-x%20%2B%202%0A)
Note that the interval in which the parabola is defined is from -∞ to x = 1. Note that the parabola does not include the point x = 1 because it is marked with an empty circle " о ."
(this is
)
Then the equation of the line goes from x = 1 to ∞ . In this case, the line includes x = 1 because the point at the end of the line is represented by a full circle
.
(this is
)
Then the function is:
![y=\left \{ {{x^2 +2;\ \ x](https://tex.z-dn.net/?f=y%3D%5Cleft%20%5C%7B%20%7B%7Bx%5E2%20%2B2%3B%5C%20%5C%20x%3C1%20%5Catop%20%7B-x%2B2%3B%5C%20%5C%20x%5Cgeq1%7D%7D%20%5Cright.)
Answer:
x = 4
y = 3
Step-by-step explanation:
<u>Given </u><u>equations </u><u>:</u><u>-</u>
<u>Second</u><u> </u><u>equation</u><u> </u><u>can </u><u>be</u><u> written</u><u> as</u><u> </u><u>,</u><u> </u>
<u>Adding</u><u> </u><u>them </u><u>:</u><u>-</u><u> </u>
- -3y + 2y = 2 -5
- -y = -3
- y = 3
<u>Put </u><u>this </u><u>in </u><u>(</u><u>ii)</u><u> </u><u>:</u><u>-</u><u> </u>
- x = 3y - 5
- x = 3*3 - 5
- x = 9 -5
- X = 4