40 points? at a basketball game, a vender sold a combined total of 225 sodas and hot dogs. the number of sodas sold was 49 more than the number of hot dogs sold. find the number of sodas sold and the number of hot dogs sold.

They sold soda and hot dogs.

They sold 49 more sodas.

Subtract 49 from the total items sold:

225 - 49 = 176

Divide that number by 2 ( 2 different items sold)

176 / 2 = 88

They sold 88 hot dogs.

Add 49 to 88 for total sodas: 88 + 49 = 137 sodas.

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form