Answer:
- x + y ≤ 600
- 5x +7y ≥ 3500
- it is possible
Step-by-step explanation:
a) We can write two inequalities, one for the number of tickets, and one for the necessary revenue.
x + y ≤ 600 . . . . . . . limit imposed by available seating
5x +7y ≥ 3500 . . . . required revenue to meet expenses
__
b) For x = 330, the first inequality puts one limit on y:
330 +y ≤ 600
y ≤ 270
And the second inequality puts another limit on y:
5(330) +7y ≥ 3500
7y ≥ 1850 . . . . subtract 1650
y ≥ 264.3 . . . . divide by 7
The number of tickets that must be sold to meet expenses is 265, which is less than the number that can be sold, 270. It is possible to meet expenses.
Answer:
The equation in the standard form of the line through the given points is;
y = 3x - 17
Step-by-step explanation:
We start by getting the slope of the line;
m = (y2-y1)/(x2-x1)
m = (7-10)/(8-9) = -3/-1 = 3
The stands equation form is;
y = mx + b
m is slope, b is the y-intercept
so we have
y = 3x + b
To get b, we substitute the coordinates of any of the points
10 = 3(9) + b
10 = 27 + b
b = 10-27
b = -17
So the equation is;
y = 3x - 17
The equation which is results from taking the square root of both sides of the provided equation is,

<h3>What is the square root?</h3>
A square root of a number is the value which is when multiplicand by itself gives the same value as the number posses.
Let a number is <em>a. </em>Then this number in the form of square root can be written as,
The given algebraic equation in the problem is,

Take the square root, in both sides,

Cancel out the square root with the square of the number as,

Hence, the equation which is results from taking the square root of both sides of the provided equation is,

Learn more about the square root of number here;
brainly.com/question/664132
Answer:

Step-by-step explanation:
we know that
The circumference of a circle is equal to

we have

Convert to an improper fraction

substitute

