Answer:
w/2 = 7.5/5
3kg
Here's the detailed explanation:
Remaining question below:
Which proportion could Maddy utilize to solve this issue?
a. w/2 = 7.5/5
b. w/7.5 = 5/2
Solve the proportion to determine the weight of a 2 liter jug.
_____kg
A 5-liter container of sports drink weighs 7.5kg
A 2-liter jug of this drink will weigh x kg
Finding w
Ratio of weight to volume
7.5kg: 5liters translates to 7.5/5
wkg: 2 liters means w/2
Establishing equivalent ratios
7.5 / 5 = w / 2
Cross-multiplying gives
7.5*2=5*w
15=5w
Dividing both sides by 5 results in
w=3
w=3kg
Thus, the weight of the 2-liter sports drink jug is 3kg
The two lines are perpendicular since y = -6 represents a horizontal line characterized by a slope of 0, while x = 6 depicts a vertical line with an undefined slope.
Response:
D. The sidelines are parallel because they are perpendicular to a common line.
Justification:
According to the perpendicular transversal theorem, when a line is perpendicular to one of two parallel lines, it is also perpendicular to the other line. Furthermore, the converse of the theorem states that if two lines are perpendicular to the same line, they must be parallel. Therefore, the sidelines are indeed parallel and also perpendicular to this single line.
Answer: x ≥ 3.2 OR x ≤ -0.75
Here's how to solve the compound inequality step-by-step: start by separating it into two inequalities. For the first one, 5x - 4 ≥ 12, add 4 to both sides to remove the constant, leaving 5x ≥ 16. Then divide both sides by 5 to isolate x, resulting in x ≥ 3.2.
Now for the second part, 12x + 5 ≤ -4, subtract 5 from both sides to obtain 12x ≤ -9. Dividing both sides by 12 gives x ≤ -9/12, which simplifies to x ≤ -0.75. So, combining both, the solution is x ≥ 3.2 OR x ≤ -0.75.
Each month she puts in 20......therefore annually she deposits (20 * 12) = 240 y = 240x + 200
