Answer: the small bottle holds 15 ounces while the large bottle holds 23 ounces.
Step-by-step explanation:
Let x represent the number of ounces that a small bottle holds.
Let y represent the number of ounces that a large bottle holds.
He drank 2 small bottles and 2 large bottles, for a total of 76 ounces. It means that
2x + 2y = 76 - - - - - - - - - - - - 1
The day before, he drank 4 small bottles and 1 large bottle, for a total of 83 ounces. This means that
4x + y = 83 - - - - - - - - - - - - -2
Multiplying equation 1 by 2 and equation 2 by 1, it becomes
4x + 4y = 152
4x + y = 83
Subtracting, it becomes
3y = 69
y = 69/3 = 23 ounces
Substituting y = 23 into equation 1, it becomes
2x + 2 × 23 = 76
2x + 46 = 76
2x = 76 - 46 = 30
x = 30/2 = 15 ounces
Answer:
Correct answer: sa · sb = 2/3 · (- 3/2) = - 1
Step-by-step explanation:
Given:
line A - (x₁, y₁) = (3, -4) and (x₂, y₂) = (6, -2)
line B - (x₁, y₁) = (-1, 5) and (x₂, y₂) = (1, 2)
The slope is calculated using the following formula:
s = (y₂ - y₁) / (x₂ - x₁)
sa = (-2 - (-4)) / (6 - 3) = (-2 + 4) / 3 = 2 / 3
sa = 2 / 3
sb = (2 - 5) / (1 - (-1)) = -3 / 2
when lines are perpendicular to each other then the slopes are in the next relationship:
sa · sb = - 1
we will check:
sa · sb = 2/3 · (- 3/2) = - 1
God is with you!!!
Answer:
B, 21
Step-by-step explanation:
78 minus 57 is 21, thus B is the correct choice
Answer:
-9
Step-by-step explanation:
