At a hockey game, a vender sold a combined total of 127 sodas and hot dogs. The number of sodas sold was 43 more than the number of hot dogs sold. Find the number of sodas sold and the number of hot dogs sold. Number of sodas sold:

85 sodas

Step-by-step explanation:

Total sold was 127

The number of sodas was 43 + the number of hotdogs

Let x represent hotdogs:

x + (43 + x) = 127                (The 43 + x is the number of sodas sold.)

2x + 43 = 127

2x = 84

x = 42

42 hotdogs were sold., Since sodas are 42 + 43, 85 sodas were sold

-Chetan K

answer: 2530

hope this

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1