The two problems are almost identical: you have to set up a system, and then solve it.
In the first case, let 
and 
be, respectively, the number of girls and boys.
We know that 
(the number of girls in the Spanish Club is four more than twice the number of boys). Also, we know that 
(there are 61 students in total).
So, we have the system
We can use the first equation to substitute in the second
And then solve for :
For the second problem, let 
and 
be the number of pins knocked down by, respectively, Carrie and John. Just like before, we have the system
And you can solve it in the very same way we solved the previous one.
You can see that you're constantly subtracting 8 to get the next number. So, we have
So, as you can see, to get the n-th term we must subtract (n-1) times 8 from the original number.
(3,4) (9,7)
to find the slope
m = (y2-y1)/(x2-x1)
= (7-4)/(9-3)
3/6
1/2
The slope is 1/2
point slope form
y-y1 = m(x-x1)
y-4 = 1/2(x-3)
distribute
y-4 = 1/2x -3/2
add 4 to each side
y = 1/2 x -3/2 + 4
y = 1/2 x -3/2 + 8/2
y = 1/2 x + 5/2
this is in slope intercept form
Step-by-step explanation:
First, the pizza is 18 inches in diameter, so
and, because the radium is half of the diameter,
<u>Note that the units are inches.</u>
Using the equation
where a is the area of a circle, we know that the area of the whole pizza is approx.254.5 square inches. Divide by 8 to find the area of 1/8 of a pizza. Each slice will have an area of approx. 32 square inches. For a precise result, the answer is
where a(s) is the area of a slice of pizza, and s is the total number of slices, given they are equal in size.
Answer:
the one where it passes -2
Step-by-step explanation:
-2 > -3
