Make an algebraic expression for each plan.
For an instance, x represents the number of movies, and y represents the number of months
⇒ The expression for the digital movie plan is 3x
⇒ The expression for the DVD plan is 10y + 0.5x
A person rents movies in a month (that means the value of y equals 1), the expression of the DVD plan would be 10(1) + 0.5x = 10 + 0.5x
Find the value of x when the cost of both plan are the same
The two options will cost the same when the expression for digital movie is equal to the expression for DVD
the digital movie plan = the DVD plan
3x = 10 + 0.5x
Solve for x
3x - 0.5x = 10
2.5x = 10
x = 10/2.5
x = 4
The two options will cost the same, if the person rents 4 movies
Answer:
28
Step-by-step explanation:
There were 7 chairs in each row, now they add three more to each row so now there's 10 chairs per row. There were 56 chairs altogether previously but now they need 5 times more so 56 times 5 equals 280. so with ten chairs per row and 280 chairs in total: 280/10 = 28. You'll need 28 rows
Answer:
11
Step-by-step explanation:
-(-7)^2 + (6*-7) + 4
7^2 + (-42) + 4
49 - 42 + 4 = 11
Answer:
0,8 because it's just the y intercept
Given: 11-pound mixture of peanuts, almonds, and raisins
Cost:
peanuts - 1.5 per pound
almonds - 3 per pound
raisins - 1.5 per pound
mixture:
twice as many peanuts as almond; total cost of mixture is 21.
a + p + r = 11 lbs
a + 2a + r = 11 lbs
3a + r = 11
r = 11 - 3a
1.5(2a) + 3a + 1.5r = 21
3a + 3a + 1.5r = 21
6a + 1.5r = 21
6a + 1.5(11-3a) = 21
6a + 16.5 - 4.5a = 21
6a - 4.5a = 21 - 16.5
1.5a = 4.5
1.5a/1.5 = 4.5/1.5
a = 3
almonds = 3 lbs
peanuts = 2a = 2(3) = 6lbs
raisins = 11 - 3a = 11 - 3(3) = 11 - 9 = 2 lbs
<span>My answer is: C. 6 lbs peanuts, 3 lbs almonds, 2 lbs raisins </span>