Answer:
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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 slope-intercept form of a linear equation is presented as y = mx + b, where x and y denote coordinates of an ordered pair, m represents the slope, and b indicates the y-intercept. Our objective is to isolate m. Initially, we will eliminate 'b' from both sides. Next, we will reposition the terms accordingly and finally divide both sides by x. Thus, we conclude that m equals the calculated value.
The result is 10/117. We have three distinct letters and four unique non-zero digits. For letters, we have 26 options from A to Z. For digits, there are 9 choices from 1 to 9. As all selections must be distinct, we find the total number of codes as 26 × 25 × 24 × 9 × 8 × 7 × 6. For the specified code, we focus on the combinations with 5 vowels and 4 even digits, leading to a calculation of 5 × 25 × 24 × 8 × 7 × 6 × 4. Probability can thus be expressed as the ratio of these outcomes, yielding: 5 × 25 × 24 × 8 × 7 × 6 × 4 divided by 26 × 25 × 24 × 9 × 8 × 7 × 6.
