Answer:

Step-by-step explanation:
1. Subtract 10 from both sides. Then:

2. Divide both sides by -2. Notice that the direction of the symbol of the inequality will change. Then:

3. Add 22 to both sides. Then:

4. Divide both sides by -7. Notice that the direction of the symbol of the inequality will change. Then:

5. Subtract 30 from both sides. Then:

6. Divide both sides by -5. Notice that the direction of the symbol of the inequality will change. Then:

7. Subtract 13 from both sides. Then:

8. Add 12 to both sides. Then:

Answer:
k=42.5573 and x=0.015699
Step-by-step explanation:
Step: Solve k=35.5x+42for k:
k=35.5x+42
Step: Substitute 35.5x+42 for k in k=991x+27:
k=991x+27
35.5x+42=991x+27
35.5x+42+−991x=991x+27+−991x(Add -991x to both sides)
−955.5x+42=27
−955.5x+42+−42=27+−42(Add -42 to both sides)
−955.5x=−15
−955.5x
−955.5
=
−15
−955.5
(Divide both sides by -955.5)
x=0.015699
Step: Substitute0.015699 for x in k=35.5x+42:
k=35.5x+42
k=(35.5)(0.015699)+42
k=42.5573(Simplify both sides of the equation)
Hope this helps!
:)
Answer:
a. x = 1.2, b. A = 32.1°
Step-by-step explanation:
1.41²-.75²=x²
a. x = 1.2
sin A = 0.75/1.41
b. A = 32.1°
297/11 = 27
So we have 27 groups of 11 students. If there are 2 chaperones for every 11 students, then we can do:
27x2=54
There are 54 chaperones on the field trip.

The final result is: C) x(x - 8)(x + 8).