Answer:
and

Step-by-step explanation:
Assume that Mike bought only cookies and hot dogs.
The total can be represented as:
--- (1)
And the amount spent can be represented as:
--- (2)
Required
Determine the system of equation
Let c represents the number of cookies and h, number of hot dogs.
implies 
And
Cost of cookies = 0.75 * c
Cost of hot dogs = 1.10 * h
So, we have:

Hence, the equations are:
and

Solving for c and h
Make c the subject in 

Substitute 5 - h for c in 



Collect Like Terms


Solve for h


-- approximated
Recall that:



Answer:
x = 0.5 to the nearest 1/10.
Step-by-step explanation:
3^-x = x^3 + x
y = x^3 - 3^-x + x = 0
Using a graphing calculator to draw the graph of the above:
The graph crosses the x-axis at x = 0.4798
Area of the figure = 806.5 in²
Solution:
Length of the rectangle = 16 in
Breadth of the rectangle = 9 in
Area of the rectangle = length × breadth
= 16 × 9
Area of the rectangle = 144 in²
Base of the triangle = 31 in
Height of the triangle = 20 in
Area of the triangle = 

Area of the triangle = 310 in²
Parallel sides of the trapezium = 16 in and 31 in
Height of the trapezium = 35 – 20 = 15 in
Area of the trapezium = 


Area of the trapezium = 352.5 in²
Area of the figure = Area of rectangle + Area of triangle + Area of trapezium
= 144 in² + 310 in² + 352.5 in²
Area of the figure = 806.5 in²
Some things to know
point slope form: for a line passing through (x1,y1) and the slope is m
y-y1=m(x-x1)
horizontal lines are y=constant
y=mx+b, m is slope and b is y intercept
the slope of the line that passes through the points (x1,y1) and (x2,y2) is
(y2-y1)/(x2-x1)
1.
y-2=2/3(x-(-3))
y-2=2/3(x+3)
2.
find slope
(-2-3)/(6-(-4))=(-5)/(6+4)=-5/10=-1/2
a point isi (-4,3) and slope is -1/2
y-3=-1/2(x-(-4))
y-3=-1/2(x+4)
3.
yintercept of 2 means (0,2) is a point
find slope between (0,2) and (12,4)
(4-2)/(12-0)=2/12=1/6
a point is (12,4)
y-4=1/6(x-12)
4.
horizontal is y=something
(x,y)
(-2,-9)
we have y=-9
y=-9 is the equaiton
5.
y=-2x+3
y=mx+b
-2 is slope
a point is (-6,2)
y-2=-2(x-(-6))
y-2=-2(x+6)