Asnack cart sells lemonade for $2 and hot dogs for $5. the vendor sold 86 items today for a total of $330. which equation is true? a.(86 – h)(h) = 86 b.(86 – h) + h = 86 c.(86 – h) + h = 2 + 5 d.[2(86 – h)](5h) = 330

The equation in B is true.

We know this in two ways. Firstly, we know since it sold 86 items, that we have the amount of hot dogs (h) and then the amount of lemonade would be (86 - h), or how ever many is left over after the hot dogs.

The second way we can know is by looking at the equation algebraically.

(86 - h) + h = 86

86 - h + h = 86

86 = 86 (TRUE)

b

step-by-step explanation:

a difference is the result of subtraction. while each of these expressions has subtraction in it, a difference will be the result when subtraction is the last operation applied in the order of operations for the expression. this means subtraction must be outside of the parenthesis. only b has this.

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)