Answer:
5
Step-by-step explanation:
-x = 4 - 3x + 6
3x-x = 4 + 6
2x = 10
x = 5
Answer:
Step-by-step explanation:
Rising 30 feet for every 400 feet of track is not a very large angle of elevation. We set this up as a right triangle to use right triangle trig to solve for the missing angle. The height is 30 and the hypotenuse is 400. The height is the side opposite the angle in question, and the hypotenuse is the hypotenuse! This is the sin ratio. Setting up the ratio using our info:

When you are looking for a missing angle measure, as we are here, use the 2nd-->sin buttons to find the inverse of sin, which looks like this:

Enter in the fraction 30/400 after the parenthesis and then hit enter to get the angle measure of 4.3 degrees.
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.
I believe it would be 12 because 9 min divided by .75 a rotation gets 12 rotations
Answer: OPTION C
Step-by-step explanation:
A positive number must be greater than (>) 0, so lets check which fits this condition.
--------------------------------------------
A.
7.09+(-7.28)=-0.19 NEGATIVE
B.
-12+11.5=-0.5 NEGATIVE
C.
-4.8-(-6.1)=1.3 POSITIVE
D.
-21-(-18.5)=2.5 NEGATIVE
--------------------------------------------
C represents positive number
Hope this helps!! :)
Please let me know if you have any question