A 100-point test has x questions worth 2 points apiece and y questions worth 4 points apiece. Write an equation in Standard Form that would model this situation. Provide at least three combinations of 2-point questions x and 4-point questions y.

Step-by-step explanation:

Total number of points in the test = 100points

If the test has x questions worth 2 points apiece, then the total number of points for x questions with 2 points each will be 2 * x i.e 2x  1

Also, if y questions worth 4 points apiece then the total number of points for y questions with 4 points each will be 4 * x i.e 4x 2

Total points = eqn 1 + eqn 2

100 = 2x+ 2y

Rearrange

2x+2y = 100

Hence an equation in Standard Form that would model this situation is 2x+2y = 100

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi