Answer:
12
Step-by-step explanation:
12 x 10 = 120
Answer:
d. 3/2r+2c ≤ 10
Step-by-step explanation:
The amount of flour Molly needs for r batches of oatmeal raisin cookies is ...
3/2r
The amount of flour Molly needs for c batches of chocolate chip cookies is ...
2c
The total amount of flour Molly can use for cookies cannot exceed the amount available, so ...
3/2r + 2c ≤ 10
_____
<em>Comment on the question</em>
The wording is a bit odd. It asks for the amount of flour available—after it tells you the amount available is 10 cups. (I might write that as <em>f ≤ 10</em>.) The answer choices clearly suggest that what is wanted is a representation of the possible mix of batches of cookies for which Molly could use the available flour. IMO, this is another instance of poor editing of math problem wording.
In a direct variation relationship the values must satisfy that y = kx. This si y is always a constant value (k) times x.
So, you can find multiple values that meet this:
y = kx => k = y / x = 11 / 18
=> y = (11/18)x
Now you can give any value to x and fint the value of x that satisfy the relationship:
x y = (11/18)x
1 11/18
2 11/18 * 2 = 11/9
18 11/18 * 18 = 11
36 11/18 * 36 = 22
So, there you have several additional values for x and y in the same relationship that y = 11 and x = 18, and you can find many more using the same rule: y = (11/18)*x
Answer:
B
Step-by-step explanation:
Given the 2 equations
- 2x = 4y + 6 → (1)
2(2y + 3) = 3x - 5 → (2)
Distribute left side of (2)
4y + 6 = 3x - 5 → (2)
Substitute 4y + 6 = - 2x into (2)
- 2x = 3x - 5 ( subtract 3x from both sides )
- 5x = - 5 ( divide both sides by - 5 )
x = 1
Substitute x = 1 into either of the 2 equations and solve for y
Substituting into (1)
- 2(1) = 4y + 6
- 2 = 4y + 6 ( subtract 6 from both sides )
- 8 = 4y ( divide both sides by 4 )
y = - 2
Solution is (1, - 2 ) → B
