Let the distance to his office be x, then
On monday, speed = x/20 miles per minutes = 3x miles per hour
On tuesday, speed = (3x + 15) miles per hour
Time = distance / speed
(20 - 6)/60 hours = x/(3x + 15) hours
7/30 = x/(3x + 15)
7(3x + 15) = 30x
21x + 105 = 30x
30x - 21x = 105
9x = 105
x = 105/9 = 11.7 miles
Therfore he travels an average of 11.7 miles to work.
Answer:
260 gallons
Step-by-step explanation:
An estimate of 26.5% of the water used each day is for cleaning and a family uses 68.9 gallons of water a day for cleaning,
Percentage of water used for cleaning= 26.5%
Gallons of water used for cleaning= 68.9
Let the number of gallons used everyday be represented by g. This will give:
26.5% of g = 68.9
26.5/100 × g = 68.9
0.265 × g = 68.9
0.265g = 68.9
Divide both side by 0.265
0.265g/0.265 = 68.9/0.265
g= 260
260 gallons of water are used everyday
<em>Answer:</em>
<em>2</em><em>5</em><em> </em><em>units</em>
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Answer:
0.59375
Step-by-step explanation:
3f(x) - f(1/x) = x^2
x = 2: 3f(2) - f(1/2) = 2^2
x = 1/2: 3f(1/2) - f(2) = (1/2)^2
Let a = f(1/2) and b = f(2):
3b - a = 4; 3a - b = 1/4
3b - 4 = a
3(3b-4) - b = 1/4
8b = 12 + 1/4
b = 1.53125
3 * 1.53125 - 4 = a
a = 0.59375
