Mrs. konings likes to eat nerds (the candy, not her people). there are 1,000 nerds in the box. the amount of nerds left in the box decreases by a third each time she dumps out a portion. let x represent the number of portions mrs. konings has taken and y represent the number of nerds left in the box. write an equation that represents the solution.

x=499.83

y=500.16

Step-by-step explanation:

We can solve this problem with a system of equations:

The total quantity of Nerds in the box:

(1)

The amount of Nerds left in the box:  

The number of portions Mrs. Konings has taken:  

The amount of Nerds left in the box decreases by a third each time she dumps out a portion:

(2)

Substituting (2) in (1):

(3) This is the equation

Let's find :

(4)

Now let's find by substituting (4) in (2):

(5)

answer:   expression= p+p*d%

price reduction + sale price = $625

sale price: $p+$p*d%

where d% is the percentage of discount

step-by-step explanation:

original price = p

price went down by $150 price reduction $p*d%

sale price= $ 475

therefore the price before sale is: $625

and the expression that shows the price before sale is: p+p*d%

the height of the surface increases from the center out to the sides of the road.

step-by-step explanation:

as we move out we move away from the x-axis.

and as mentioned in the problem statement that height of a road increases when we move away from the center x.

hence proved that 3rd option

the height of the surface increases from the center out to the sides of the road.

is the correct option.