Let x=number of hamburgers sold and y=number of hot dogs sold.
Step 1)
cost of burgers X # of burgers + cost of hotdogs X # of hotdogs=$ collected 1.5x + 1.25y=105.5
step 2)
# of burgers sold + number of hot dogs sold = total number of items sold
x + y = 78
step 3) solve for y in the second equation
y = 78 - x
step 4) substitute y = 78 - x in the first equation for the value of y and solve for x
1.5x + 1.25(78 - x)=105.50
1.5 x + 97.5 - 1.25x=105.50
.25x = 8
x = 32
step 5) plug in our value for x in the second equation and solve for y
x+y=78
32+y=78
y=46
answer 32 hamburgers and 46 hot dogs
Minus 150 meters pepega I don’t quite understand the question but that is one way to get from 400 to 350 meters.
Answer:
Step-by-step explanation:
There are 3 ways to find the other x intercept.
1) Polynomial Long Division.
Divide x^2 - 3x + 2 by the binomial x - 2, because by the Factor Theorem if a is a root of a polynomial then x - a is a factor of said polynomial.
2) Just solving for x when y = 0, by using the quadratic formula.
.
So the other x - intercept is at (1, 0)
3) Using Vietta's Theorem regarding the solutions of a quadratic
Namely, the sum of the solutions of a quadratic equation is equal to the quotient between the negative coefficient of the linear term divided by the coefficient of the quadratic term.

And the product between the solutions of a quadratic equation is just the quotient between the constant term and the coefficient of the quadratic term.

These relations between the solutions give us a brief idea of what the solutions should be like.
Nate's package is 8 kilograms. This is because, if there are 1,000 grams in 1 kilogram, 8,000/ 1,000= 8 Therefore, the mass of his package is 8 kilograms.
Have a Merry Christmas!