Write an equation for each word problem. Then solve. 1. Nicole's Burger Barn sold 584 hamburgers today. Three times as many hamburgers were sold with cheese. How many cheeseburgers were sold?

2. Four times a number increased by 25 is 13 less than six times the number. Find the number.

3. Three times a number decreased by 8 is the same as twice the number increased by 15. What is the number?

y=mx+b

step-by-step explanation:

m slope

b y-intercept

step-by-step explanation:

the ratio of red paint to blue paint is always 9/7. that means that, whatever x's value, (4x+12)/(4x-4) has that same ratio. so, set up an equation and cross-multiply to solve for x:

9/7 = (4x+12)/(4x-4)

9(4x-4) = 7(4x+12)

36x - 36 = 28x + 84

8x - 36 = 84

8x = 120

x = 15

step-by-step explanation:

total income = price of one ticket   *   number of tickets sold

  y                 =     4                                   x

so the equation is y=4x     with x≥0   because number of tickets sold can not be negative

thus the equation is a semi -line with an end point at

(0,0)

passing through :

x=1     y=4(1) = 4   so through (1,4)

12 dolars one is cheaper becasue 3 pairs is 6 means is sock is 2 while the 12 is cheaper