Answer:
we know that
the equation of the circle is of the form
(x-h)^2+(y-k)^2=r^2
where
(h,k) is the center of the circle
r is the radius of the circle
in this problem we have
(x+5)^2+(y-k)^2=r^2
so
the center is the point (-5,3)
the radius is 4 units
therefore
the answer is
The radius of the circle is equal to 4 units
Times the whole equation by 15 since the LCM of 3 and 5 is 15.
You get: 5p-3p-6= 60
Rearrange to get: 2p=66
p=33
40 is under the number of training hours and the $1700 is under the pay column.
So for 40 hours of training the person would make $1700.
The answer is D.
Answer:
The correct answer is b) 1100 adults and 1400 students.
Step-by-step explanation:
To find this, set up a system of equations in which x is the number of students who attend and y is the number of adults who attend.
First start by creating an equation for money made.
5x + 10y = 18,000
Now write an equation for the amount that attend.
x + y = 2,500
Now multiply the bottom equation by -5 and add the equations together.
-5x - 5y = -12,500
5x + 10y = 18,000
5y = 5,500
y = 1,100
Since this is the number of adults, we can plug into an original equation to find the number of students.
x + y = 2,500
x + 1,100 = 2,500
x = 1,400
Answer:
Step-by-step explanation:
To simplify recall exponent rules:
1. An exponent is only a short cut for multiplication. It simplifies how we write the expression.
2. When we multiply terms with the same bases, we add exponents.
3. When we divide terms with the same bases, we subtract exponents.
4. When we have a base to the exponent of 0, it is 1.
5. A negative exponent creates a fraction.
6. When we raise an exponent to an exponent, we multiply exponents.
7. When we have exponents with parenthesis, we apply it to everything in the parenthesis.
We will use these rules to simplify.
Use rule #3 to simplify inside the parenthesis first.
Now simplify the exponent of 4 using rule 6.
