The Formula's for a cylinder is V=
r^2h and the volume of a Cone is V=1/3
r^2h. So you would know that the volume of a cone is 1/3 the volume of a cylinder.
Answer:
1) 28.4 miles per gallon
2) 34 miles per gallon
3) the red car
Step-by-step explanation:
We have the following information:
<em>Travels 35 1/2 miles on 1 1/4 gallons of gasoline</em>
<em>Travels 27 1/5 miles on 4/5 gallons of gasoline</em>
<em />
We want to know the unit rate for miles per hour, and to do it we have to divide the miles they travel by the gallons each car uses:
(35 1/2) / (1 1/4) = 28.4 miles per gallon
(27 1/5) / (4/5) = 34 miles per gallon
The red car travels greater distance with 1 gallon of gasoline
The number is 66.
Solution:
Let the number be x.
To find the number x using given conditions.
Start with the last condition.
It is less than 7 times 8 + 23 = 7 × 8 + 23 = 79
So, the number is less than 79 which implies x < 79.
Using condition (4),
It is greater than 5 times 4 = 5 × 4 = 20
So, the number is greater than 79 which implies x > 20.
Combining condition (4) and (7), we get 20 < x < 79.
Using condition (3) and (5),
The number is a multiple of 11 and 6.
The number which is multiplied by both 11 and 6 is 66, 132, ...
But here x lies between 20 < x < 79.
So x = 66.
66 is not odd number and the sum of the digits is divisible by 2.
Therefore condition (1) and (2) also satisfied.
Hence the number is 66.
The rate of change is 4. A linear model.
The equation of the line is y=2x+1.
We must must transform the standard form equation 3x+6y=5 into a slope-intercept form equation (y=mx+b) to find its slope.
3x+6y=5 (Subtract 3x on both sides.)
6y=−3x+5 (Divide both sides by 6.)
y=− 3/6x+ 5/6
y=− 1/2x+ 5/6
The slope of our first line is equal to − 1/2.Perpendicular lines have negative reciprocal slopes, so if the slope of one is x, the slope of the other is − 1/x
The negative reciprocal of − 1/2 is equal to 2, therefore 2 is the slope of our line.
Since the equation of line passing through the point (1,3), therefore substitute the given point in the equation y=2x+b:
3=(2×1)+b
3=2+b
b=3−2=1
Substitute this value for b in the equation y=2x+b:
y=2x+1
Hence, the equation of the line is y=2x+1.
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