Answer:
Step-by-step explanation:
Slope-intercept formula requires us to isolate the y variable. We can do this in just a couple of steps.
1) Move 5x from the left to the right side by subtracting 5x from both sides. This cancels out the 5x on the left side, and remember, what we do to one side we must do to the other to keep the equation balanced.
2) Divide both sides by 6. Again, we are cancelling out the 6 on the left but we must also divide on the right. This would mean dividing -5 and 42 by 6 to get:
Answer:
cost of one medium drink = $3.80
cost of one large popcorn = $6.25
Step-by-step explanation:
Let D = cost of one medium drink
Let P = cost of one large popcorn
If a couple bought 2 medium drinks and a large popcorn for $13.85:
⇒ 2D + P = 13.85
If a family bought 3 medium drinks and 2 large popcorn for a total of $23.90:
⇒ 3D + 2P = 23.90
Rewrite 2D + P = 13.85 to make P the subject:
⇒ P = 13.85 - 2D
Substitute into 3D + 2P = 23.90 and solve for D:
⇒ 3D + 2(13.85 - 2D) = 23.90
⇒ 3D + 27.7 - 4D = 23.90
⇒ D = 3.8
Substitute found value of D into P = 13.85 - 2D to find P:
⇒ P = 13.85 - (2 x 3.8) = 6.25
Therefore,
cost of one medium drink = $3.80
cost of one large popcorn = $6.25
Step-by-step explanation:
60x + 3300 = 24000
60x = 24000 - 3300
60x = 20700
x = 20700 ÷ 60
x = 345
x ≤345
Answer:
Step-by-step explanation:
There are 6 ways we can roll doubles out of a possible 36 rolls (6 x 6), for a probability of 6/36, or 1/6, on any roll of two fair dice. So you have a 16.7% probability of rolling doubles with 2 fair six-sided dice.
Answer:
10x^8 is the sum
Step-by-step explanation:
