Answer: 5/12
Step-by-step explanation:
Step 1
Whenever you have something OF something, you just mulltiply.
1/3 of 5/8=
1/3x5/8
5/24
She used 5/24, and started with 5/8
5/8-5/24= 5/12 left
If 5x - 17 ≥ 0, then |5x - 17| = 5x - 17 and the equation reduces to
-8 - 2 (5x - 17) = -14
-8 - 10x + 34 = -14
-10x = -40
x = 4
If 5x - 17 < 0, then |5x - 17| = -(5x - 17) = -5x + 17 and we have
-8 - 2 (-5x + 17) = -14
-8 + 10x - 34 = -14
10x = 28
x = 2.8
Answer:
[2] Translation
[4]Transformation
Step-by-step explanation:
Translation is just moving the shape.
Transformation is changing the shape and tilting it changed the shape.
Answer:
1120 combinations of four teachers include exactly one of either Mrs. Vera or Mr. Jan.
Step-by-step explanation:
The order in which the teachers are chosen is not important, which means that the combinations formula is used to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this question:
1 from a set of 2(Either Mrs. Vera or Mr. Jan).
3 from a set of 18 - 2 = 16. So

1120 combinations of four teachers include exactly one of either Mrs. Vera or Mr. Jan.
Answer:
Both chords and diameters have two endpoints on a circle. Diameters must intersect the center of a circle.
Step-by-step explanation: