On her birthday, Sonia distributed chocolates in an orphanage. She gave 5 chocolates to each child and 20 chocolates to adults.
1 answer:
Answer with explanation:
Total number of children = x
Total chocolates shared = y
In total, the chocolates distributed to the children equals 5 times the number of children, or 5 x.
Chocolates received by adults equal 20.
Let the number of adults be z.
Expressing this situation as an equation:
y = 5 x + 20 z
⇒Number of adults = z
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Answer : y>0
f(x) = 9*2^x
This function is exponential in form
Substituting positive numbers for x yields positive y values
Substituting negative numbers for x also results in positive y values
Therefore, y remains positive regardless of the value of x.
The range comprises all possible y outputs of the function
Since y is always positive, the range is y > 0
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.