Answer:
OPTION D: NEITHER
Step-by-step explanation:
The given equation is: 7x - 2y = - 5
To find a solution to this, we substitute the options and compare LHS and RHS.
OPTION A: (1, 5)
LHS = 7(1) - 2(5) = 7 - 10 = -3
RHS = - 5
LHS
RHS.
So, this option is eliminated.
OPTION B: (-1, 1)
LHS = 7(-1) - 2(1) = -7 - 2 = - 9
RHS = - 5
Again, LHS
RHS.
So, this Option is eliminated as well.
OPTION C: It says both A and B. Clearly, this is eliminated as well.
Therefore, the answer is: OPTION D: NEITHER.
NOTE: This is a two variable equation. So, we need a minimum of two equations to determine the solution. Since, only one equation is given here, we use the help of options.
Answer: G
Step-by-step explanation: the rate of change is constant, making it a proportional relationship
The answer is B:31 inches, 37-6 is 31, therefore your answer
5(2x - 8) + 15 = -15
-15 -15 subtract 15 from each side
5(2x - 8) = -30
÷5 ÷5 divide both sides by 5
2x - 8 = -6
+8 +8 add 8 to each side
2x=2
÷2 ÷2 divide both sides by 3
x = 1
Checking:
5(2(1)-8) + 15 = -15
5(-6) + 15 = -15
-30 + 15 = -15
-15 = -15 Correct! x=1
Answer:
The correct answer is third option. 994
Step-by-step explanation:
<u>Points to remember</u>
Volume of cylinder = πr²h
Where 'r' is the radius and 'h' is the height of cylinder
From the given question we get the cylinder height and radius
The height h = 3 times the diameter of one ball
= 3 * 7.5 = 22.5 cm
Radius = half of the diameter of a ball
= 7.5/2 = 3.75 cm
<u>To find the volume of cylinder</u>
Volume of cylinder = πr²h
= 3.14 * 3.75² * 22.5
= 993.515 ≈ 994
The correct answer is third option. 994