Answer:
An equation that represents the given situation is 
and the additional number of students that can be seated is 47
Step-by-step explanation:
Number of students already seated in school cafeteria = 203
Let x be the additional number of students that can be seated
So, Total number of seats available in school cafeteria = 203+x
We are given that the school cafeteria seats 250 students
So, 203+x=250
Hence an equation that represents the given situation is and the additional number of students that can be seated is 47
There are different ways to solve a quadratic equation, the main ones that i'm thinking about right now are:
1) factor the equation as a product:
ex: x^2+ 4x + 3 =0
(x+3) (x+1) = 0
x=-3 and x=-1 are the solutions.
To find (x+p) and (x+q) you have to think that (p+q )have to be equal to the number that is multiplied by x, in my example it was 4 (3+1=4), (p times q) have to be equal to the last number of the quadratic equation, the one that is not multiplied by any x, that in my example is 3 (3 x 1= 3)
2) The other way to solve a quadratic function is by using a formula:
given: ax^2 +bx +c=0
x= (-b +/- <span>√(b^2 -</span> 4ac)) / 2a
ex: 3x^2 + 4x -2=0
x= (-4 +/- √16-4(3)(-2)) / 6= (-4 +/- √16+24)/6= (-4 +/- <span>√40) / 6
now there are 2 possibilities: x= (-4+</span><span>√40) /6
and
x= (-4 - </span><span>√40) / 6
I hope the examples were clear enough also if i did't get very nice numbers. Look closely to the sings + and -, they are very important</span>
Answer:
To do this you must first determine what fraction of the circle is represented by the central angle 30°. Since there are 360° in a full circle, you can find the fraction of a circle by simplifying . The sector represents of the circle. To find the arc length, you now need to find the circumference of the entire circle.
Step-by-step explanation:
hope this helped. brainliest?
Answer:
5
Step-by-step explanation:
Answer:
The <em>required probability</em> is 
.
Step-by-step explanation:
Let <em>A </em>be the event of rolling the number cube.
Let <em>B</em> be the event of tossing the coin.
Total number of possibilities of rolling the number cube and tossing the coin are <em>12 </em>here.
where <em>H</em> means Head on toss of coin and <em>T</em> means Tails on toss of coin.
Formula for probability of an event <em>E</em> is:
Here, we have to find the probability of event 'E' i.e. getting a 6 on number cube and heads on coin.
Number of favorable cases are <em>1 </em>and total cases are <em>12</em>.
