Question

When 100 = 50VC + 2 is solved for c, one equation is c =( (26−2)/2 )^2. Which of the following is an equivalent equation to find c?

A. C=100−10−5
B. C = (106−10)−5
C. 25 = (105−22)2
D. (106−10)25

Answer 1

Nonce of the answer options work for 100 = 50VC + 2.

Step-by-step explanation:

100 = 50Vc + 2

The solution c =( (26−2)/2 )^2 can't work, for several reasons. There is no V and there is no reason it should be raised to the power of 2.

None of the answer options has V, so none can be correct. Is the "100 = 50VC + 2" written correctly?

Answer 2

None of the given options (A, B, C, or D) simplifies to the equivalent equation c = 144, which is derived from the original equation c = ((26 - 2) / 2)^2. It seems there might be an error in the provided options since not one of them results in the correct value for c.

Step-by-step explanation:

The question is asking which of the given equations is equivalent to c = ((26 - 2) / 2)^2 when solving for c. To simplify the original equation, first perform the subtraction in the parentheses: (26 - 2) = 24. Then divide by 2: 24 / 2 = 12. Finally, square this result: 12^2 = 144. Now, let's look at the provided options to find which one is equivalent to c = 144.

• A. C = 100 - 10 - 5 = 85 (not equivalent to 144)
• B. C = (106 - 10) - 5 = 96 - 5 = 91 (not equivalent to 144)
• C. 25 = (105 - 22)2. If this was intended to be c = 25*((105 - 22)2), the first order of operations should be the subtraction inside the parentheses which is (105 - 22) = 83, then multiply by 2 to get 166, which then is multiplied by 25, not giving us 144. Thus, it is not equivalent.
• D. (106 - 10)/25. If this was meant to signify c = (106 - 10) / 25, you would first perform the subtraction 106 - 10 = 96, and then divide by 25, which does not yield 144. Hence, this option is also not correct.

Since none of the provided options yields the same result as our simplified original equation c = 144, it appears that there could be a typo or error in the options given. If the goal is to find an equivalent equation for c, we need an equation that simplifies to c = 144, which is not present in any of the options listed as A, B, C, or D.