We have the equations d=55t and d=20g. The left sides match, as do the right sides. First, we derive the equation: 55t=20g. Then, we can deduce that g=(55/20)t. If t=6 hours, then g=(55/20) *6 = 165/10=16.5 gallons. The distance can be calculated as d= 55t= 55*6=330 miles, which is also equal to d=20g=20*16.5=330 miles.
I believe the correct responses are AB and AE, but I would need an image to confirm.
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Step-by-step explanation: Generally, during the roll of two fair 6-sided dice, the doubles result in (1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6). Therefore, the total for doubles is N = 6. The outcome of rolling two fair 6-sided dice yields n = 36. Thus, the probability of rolling doubles (matching numbers on both dice) is calculated mathematically. When rolling two fair dice, outcomes that sum to 4 or less are (1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (3, 1). Observing this, we see two doubles present. Consequently, the conditional probability of rolling doubles is represented mathematically. Lastly, when rolling the two fair dice, outcomes that show different numbers result in L = 30, while outcomes where at least one die shows a 1 give W = 10. Hence, the conditional probability of having at least one die show a 1 is presented mathematically.
To tackle this issue, we need to clarify what each variable stands for. Here, n indicates the number of pencil packages purchased by Yolanda, while m represents the number of paper pads she buys. We calculate the total cost by multiplying these variables by their individual prices, which helps us determine the expense for both pencil packages and pads of paper.
The expression "1.4n" indicates the overall cost for n pencil packages.
On the other hand, "1.2m" signifies the complete expense for m pads of paper.
As we sum these two expressions, the resulting total reflects the overall expenditure for both items.
The equation "1.4n + 1.2m" summarizes this calculation.
I hope this provides clarity!