Eli, Freda and Geoff were given £800 to share in the ratio of their ages.
1 answer:
Initially, we will calculate the total of their ages by adding the ages of Eli, Freda, and Geoff:
The total age of Eli, Freda, and Geoff amounts to 40, thus the denominator for each ratio is 40.
Subsequently, we will apply the ratio of each individual's age to the combined age multiplied by £800:
For Eli:
For Freda:
For Geoff:
<span>
In conclusion, Eli will receive £180, Freda will receive £260, and Geoff will receive £360.</span>
The total age of Eli, Freda, and Geoff amounts to 40, thus the denominator for each ratio is 40.
Subsequently, we will apply the ratio of each individual's age to the combined age multiplied by £800:
For Eli:
For Freda:
For Geoff:
<span>
In conclusion, Eli will receive £180, Freda will receive £260, and Geoff will receive £360.</span>
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Answer:
Refer to the explanation below.
Step-by-step explanation:
We start with a small aircraft that flies 760,320 yards within a duration of 2 hours.
A)
The formula for distance is:
To isolate the rate r, we divide both sides by time:
B)
To calculate the rate in yards per hour, divide the total yards by the hours taken. Therefore:
Perform division:
Thus, the aircraft speeds at 380,160 yards every hour.
C)
There are 1,760 yards in a mile.
To compute the speed in miles per hour, we apply dimensional analysis.
We recognize the rate is 380,160 yards per hour:
To cancel "yards" from the numerator, we multiply by 1 mi/1,760 yards. Therefore:
This eliminates yards:
Now, multiply the values across:
Then divide:
The final rate for the plane is 216 miles per hour.
D)
Miles are a more appropriate measurement in this context because the distance is substantial, making it impractical to express using yards. A rate of 380,160 yards per hour is excessive, whereas 216 miles per hour provides a clearer understanding.
Answer:
Step-by-step breakdown:
The necessary formula for this problem is
which resolves to
leading to
36 + 6x = 40 + 5x, and consequently
x = 4
Thus, DG equals 5 + 4 + 3, resulting in 12