Answer:
The discount is 29.95
Step-by-step explanation:
599 x .05= 29.95
Answer:
It’s a 1/2 chance it’s heads.
Step-by-step explanation:
Because there’s two sides
Answer:
The system has one solution
Step-by-step explanation:
we have the system of equations
----> equation A
----> equation B
Solve the system by substitution
substitute equation A in equation B
Solve for x
Multiply by 3 both sides to remove the fraction
Combine like terms
Simplify
<em>Find the value of y</em>
Simplify
The solution of the system is the point 
therefore
The system has one solution
Hey there!
First, let's look at what perpendicular means. Imagine a cross, where there's all 90 degree angles. That's exactly what we're talking about when we say perpendicular. The given equation is in slope-intercept form, where we have:
y = mx + b
where m is the slope and b is the y-intercept.
When we're writing an equation with a perpendicular slope, we use the negative reciprocal of the given slope. Thus, we can make 0.3 1/3, and take the reciprocal to make 3, and make it negative 3 as it's the negative reciprocal. Now, we know we have a line with the slope of -3 and goes through (-3, 8). We can use the x and y values in this set of points, along with the slope, to create an equation to solve for b. That gives us:
8 = -3(-3) + b
8 = -9 + b
17 = b
Now, since we have slope and y-intercept, we can write our equation as:
y = -3x + 17
Hope this helps!
Answer:
The student ticket is 200 and the adults is 550
Step-by-step explanation:
So the set up is :
750 = x + y
5300 = 8x + 4.5 y
x will be adults and y will be students
Assuming you don't have calculator then you want to be able to eliminate either x or y from this system. The easiest is X cause its a whole number.
So multiply all the numbers from the first equation by 8 which gives
6000 = 8x + 8 y
5300 = 8x + 4.5 y
Then subtract the numbers (6000-5300 and 8x-8x and 8y-4.5y)
which gives :
700 = 3.5y
Solve for y = 200
and plug 200 back into any equation to solve for X
750 = x + 200
x = 550
