Doug wants to buy apples and oranges. he can spend up to $5; apples cost $1 per pound and oranges cost $1.25 per pound. how can doug spend the $5? if the solution to the problem is graphed, it will be an inequality with a line as the border. what does the line represent? heelpp

There are infinite ways to spend the $5

The line represents every solution in which the $5 are completely spent.

Step-by-step explanation:

Let's call

x: pounds of apples bought

y: pounds of oranges bought

Given that apples cost $1 per pound and oranges cost $1.25 per pound, then the cost is:

1*x + 1.25*y

Doug can spend up to $5, so:

x + 1.25*y ≤ 5

Given that there are two variables (x and y) and only one inequality, there are infinite solutions. For example, if he buys 1 pound of apples and spends all his money, we get:

1 + 1.25*y = 5

y = (5-1)/1.25 = 3.2

that means, he can buy 3.2 pounds of oranges.

If the inequality is graphed, the line as a border is the equation:

x + 1.25*y = 5

which represents every solution in which the $5 are completely spent.

square pyramid

step-by-step explanation:

square prism looks like nothing like that

triangular prism has a rectangular base instead of a square base

tetrahedron has a triangular base

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)