Answer:
D. 4r + 3(10 – r) = 37
Explanation:
Let r be the roller coaster ride. Since it costs 4 tickets, this gives us the expression 4r.
We know that there were 10 rides total; this leaves Michael 10-r for the number of times he rode the boat ride.
Each boat ride costs 3 tickets; this gives us the expression
3(10-r)
Together, this gives us
4r+3(10-r) = 37
Answer:
Step-by-step explanation:
Area=πr²
area= π(12)²
area=452.4cm²
Answer:
The graph of a linear equation is a straight line. The "solution" to a system of two linear equations is the point where the two lines cross. If the two lines are parallel, they never cross; hence parallel lines have no solution. Two lines are parallel if they have the same slope (the m value in y = mx+b). One of your equations is y = -2x + (you left the y-intercept out). The slope is -2. So any line with a slope of m = -2 will be parallel to this line and will not cross it. The second line also needs a different value of b, the y-intercept. Otherwise it is the same line and every point is a solution. So if your equation is:
y = -2x + 1
Then any equation of the form y = -2x + b, b≠1 will create a system with no solution. Hence the values of m and b are m = -2, b ≠ 1.
Answer:
x = 2
Step-by-step explanation:
(16 = 
and 8 = 
)
Since the base number is 2, the exponents must equal each other.
So:
12x = 3x+18
9x = 18
x = 2
