Jackie works in a pet store and is in charge of feeding the cats and dogs. Each dog eats 5 cups of pet food a day and each cat eats 3 cups of pet food a day. Altogether she prepares 110 cups of food a day for the 30 cats and dogs. Which systems of equations can be used to find the value of c, the number of cats that Jackie feeds, and d, the number of dogs Jackie feeds? * 10 points
A. c+d=110 and 5c+3d=30
B. c+d=30 and 5c+3d=110
C. c+d=110 and 3c+5d=30
D. c+d=30 and 3c+5d=110

the answer is a

step-by-step explanation:

i think it is 18

step-by-step explanation:

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

this would be 35. 35 + 5 = 40. you take the known constant and subtract by the answer of the equation and you get y.