1
You are running a concession stand at a basketball game. You are selling hot
dogs and sodas. Each hot dog costs $1.50 and each soda costs $0.50. Al the
end of the night you made a total of $78.50. You sold a total of 87 hot dogs
and sodas combined. You must report the number of hot dogs sold and the
number of sodas sold. How many hot dogs were sold and how many sodas
were sold?

Solution:

Let "x" be the number of hot dogs sold

Let "y" be the number of sodas sold

Each hot dog costs $1.50 and each soda costs $0.50

You sold a total of 87 hot dogs  and sodas combined

Therefore,

x + y = 87

y = 87 - x eqn 1

At the  end of the night you made a total of $78.50

Therefore,

1.50x + 0.50y = 78.50 eqn 2

Substitute eqn 1 in eqn 2

1.5x + 0.5(87 - x) = 78.5

1.5x + 43.5 - 0.5x = 78.5

x = 78.5 - 43.5

x = 35

Substitute x = 35 in eqn 1

y = 87 - 35

y = 52

Thus 35 hot dogs and 52 sodas were sold

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!

you forgot the options, but i found them anyways, the correct answer is "john wilson believes that words and actions based on the intellect are superior to those based on emotions".

john wilson is depicted as an extremely intelligent man. the point of the excerpt is to make a sort of distinction between emotional and rational intelligence. he happens to have both attributes, but he clearly favors his intellectual gifts. at the same time, because of his religious background, he's a little bit conflicted with this and it makes him ashamed.

hope this !