Solving a word problem involving a sum and another basic relationship using a system of linear equations. At a basketball game, a vender sold a combined total of 130 sodas and hot dogs. The number of hot dogs sold was 44 less than the number of sodas sold. Find the number of sodas sold and the number of hot dogs sold.

Number of sodas sold:

Number of hot dogs sold:

y=-2.5x+12.5

step-by-step explanation:

5y=2x+10

y=0.4x+2

slope=-2.5

5=-2.5*3+b

b=12.5

arc length = 6.63311 ft.

step-by-step explanation:

the formula the arc measure is:

arc length s=2πr(c)/360

where:

c   is the central angle of the arc in degrees

r   is the radius of the arc

π   is pi, approximately 3.142

using the above formula we get

s =

thus we find that arc length of an arc for a circle of radius 20 feet and central angle 19 degrees is

6.63311 feet