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Define length and width
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Let the width be x
Width = x
Length = 3x
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Form equation and solve for x
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x(3x) = 48
3x² = 48
x² = 48 ÷ 3
x² = 16
x = √16
x = 4
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Find length and width
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Width = x = 4
Length = 3x = 3(4) = 12
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Answer: Width = 4cm, Length = 12cm
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We have 55% and 80% antifreeze. We need 90 gallons of 75%.
F - 55% and E - 80%
A) F + E = 90
B) .55 F + .80 E = 67.50 (which is .75 * 90) Multiplying A) by -.55
A) -.55 F -.55 E = -49.50 (which is -.55 * 90) then adding A) & B)
.25 E = 18
E = 72 gallons of 80% and
F = 18 gallons of 55%
********* DOUBLE CHECK ******************
72 * .80 = 57.60 and 18 * .55 = 9.90
57.60 + 9.90 = 67.50 gallons of antifreeze and we have 90 total gallons
(67.50 / 90) * 100 = 75% correct!
Source: 1728.com/mixture.htm
Answer:
Aidan is 2 miles far from the ending point when he reaches the water station.
Step-by-step explanation:
The locations of the starting point, water station and ending point are (3, 1), (3, 7) and (3, 9), all expressed in miles. First we determine the distances between starting and ending points and between starting point and water station by the Pythagorean Theorem:
From starting point to ending point:
(Eq. 1)
From starting point to water station:
(Eq. 2)
The distance between the water station and the ending point is:
(Eq. 3)
Hence, Aidan is 2 miles far from the ending point when he reaches the water station.
Answer:
10
Step-by-step explanation:
The absolute value of 10 is 10. Algebraically speaking, the absolute value of a number x takes x and makes it positive.
