Answer:
25. 
26. 
Step-by-step explanation:
For 25:
(area of a trapezoid)
(substitute terms)
(collect like terms)
(reduce the fraction by crossing out 2)
(calculate)
For 26:
(equation of area of a circle)
(enter the radius)
(communtative property to reorder the terms)
I believe it is GCF because 9v^3 can be factored out of the expression, becoming:
9v^3 (4 - 3v^2)
9v^3 (-3v^2 + 4)
The quadratic in parentheses can be solved, but with the quadratic equation or by graphing.
Write the equation of the first train: x = 12t
Write the equation of the second train: y = -20t+72, assuming the train one is at the origins when t = 0.
Now solve the equation: 12t=-20t+72,
32t = 72, then t = 2.25 hours. The two train meet after 2.25 hours.
Now the equation of the <span>pigeon is like this: x = 48t.
</span>Then for t = 2.25, we get

<span>
The Hyde has flown 108 km when the trains meet.</span>
Answer:
$119
Step-by-step explanation:
Let
x -----> the number of skaters
y -----> the cost for birthday parties
we have the points
(10,107) and (15,137)
step 1
Find the slope of the linear equation
The formula to calculate the slope between two points is equal to
substitute the values
step 2
Find the equation of the line in point slope form

we have

substitute

step 3
Convert to slope intercept form



step 4
How much would a party for 12 skaters cost?
For x=12 skaters
substitute the value of x in the equation and solve for y


Given:
Number of blue marbles, twice as many red marbles as blue, and 8 yellow marbles.
She has a total of 32 marbles.
To find:
The number of red marbles.
Solution:
Let number of blue marbles be x.
Then, number of red marbles = 2x
Number of yellow marbles = 8
Total number of marbles = 32




Now,
Number of red marbles 
Therefore, there are 16 red marbles.