At first I assumed you were asking for 3 different ratios equivalent to 1/10, which could be 2/20, 10/100, or 5/50. But it seems you are asking for ratios equivalent to 1/10 gallons to second.
For this, you could change both the 'gallons' and the 'seconds' to get different unit with the same ratio.
1/10 gallon/second * 60 seconds / 1 minute = 6 gallons/minute
1/10 gallon/second * 1 gallon / 4 quarts = 1/40 quarts/second
combining these two conversions we can do
1/10 gallon/second * 60 second / 1 minute * 1 gallon / 4 quarts = 3/2
Final answer:
1/10 gallons/second = 6 gallons/minute = 1/40 quarts/second = 3/2 quarts/minute
Hope I helped :)
To answer the problem above, we can start with the formation of the point-slope form of a line. The slope is solved through,
m = (y2 - y1)/(x2 - x1)
m = (0 - -5)/ (6 - 3) = 5/3
The point - slope form of the equation of the line is,
y - y2 = m(x - x2)
Substituting the known data,
y - 0 = (5/3)(x - 6)
This simplifies into,
y = 5x/3 - 10
Thus, the standard form of the equation is,
5x - 3y = 30
Hey there! :)
To find the equation of a line that passes through (2, -4) & (5, 13), we must first find the slope.
To find the slope, we must use the slope equation, which is : m = (y₂-y₁) / (x₂-x₁)
So, let's plug everything in!
m = (y₂ - y₁) / (x₂ - x₁)
m = (13 - (-4)) / (5 - 2)
Simplify.
m = (13 + 4) / 3
Simplify.
m = 17/3
So, our slope is 17/3!
Now, let's find the equation of the line using slope-intercept form.
Remember that slope-intercept form is : y=mx+b where m=slope, b=y-intercept.
Since we already have the slope, all we need to do is find the y-intercept.
To find the y-intercept, let's plug all of our known variables into y-intercept form, using the points (2, 4) and the slope 17/3.
y = mx + b
(4) = (17/3)(2) + b
Simplify.
4 = 24/3 + b
Simplify.
4 = 8 + b
Subtract 8 from both sides.
4 - 8 = b
Simplify.
-4 = b
So, our y-intercept is b!
Using our known variables (slope, y-intercept), we can very easily plug it into a new slope-intercept equation!
y = mx + b
So, since our slope is 17/3 and our y-intercept is -4, let's plug and chug!
y = 17/3x - 4 → our final answer
~Hope I helped!~
2x + x + 4 = -17 Given
(2x + x) + 4 = -17 Combine like terms
3x + 4 = -17
3x +4 - 4 = -17 - 4 Subtraction property of equality
3x = -21
3x/3 = -21/3 Division property of equality
x = -7
<span>obtuse angle is greater than 90 degree
acute angle is less than 90 degree</span>
