Help!!!! Stefanie has 36 eggs. She needs 3 eggs for each omelette she is planning to make. Write an expression that you could us
1 answer:
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Translate the info given into equations:
<span>A positive integer is 15 less than another -----> x = y - 15
</span><span>If 4 times the reciprocal of the smaller integer is subtracted from the reciprocal of the larger integer, then the result is − 3/4
</span>------> (1/y) - (4/x) = -3/4
Use substitution, replace 'x' with 'y-15' in 2nd equation
We know that both x and y must be positive integers, so y =-1 is not a solution.
If y=20, then x = 20-15 = 5
Final answer:
The pair of integers is (5,20)
<span>A positive integer is 15 less than another -----> x = y - 15
</span><span>If 4 times the reciprocal of the smaller integer is subtracted from the reciprocal of the larger integer, then the result is − 3/4
</span>------> (1/y) - (4/x) = -3/4
Use substitution, replace 'x' with 'y-15' in 2nd equation
We know that both x and y must be positive integers, so y =-1 is not a solution.
If y=20, then x = 20-15 = 5
Final answer:
The pair of integers is (5,20)
Answer:
length=24 inches and width=12 inches
Step-by-step explanation:
Let width of the rectangular sheet be x.
Then its length is twice as width = 2x
From each corner 3-inch square is cut to form a tray.
The length of the tray formed = l = 2x-6 (total length - length of 2 squares cut out from both ends)
The width of the tray formed = b = x-6 (total width - length of 2 squares cut out from both ends)
Height of the tray formed = h = 3 inches
Volume of the tray = l*b*h = (2x-6)*(x-6)*3 = 324 cubic inches.
The length and width of the sheet is 24 and 12 inches respectively.