Let the number of miles = m
Inequality
0.75*m + 20 ≤ 65
Solution
0.75*m + 20 - 20 ≤ 65 - 20 Subtract 20 from both sides
0.75*m ≤45 Divide by 0.75
0.75*m / 0.75 ≤ 45/0.75
m ≤ 60
Conclusion
The truck can be driven up to 60 miles.
Below are the choices that can be found from other sources:
A. 42
<span>B. 45 </span>
<span>C. 47 </span>
<span>D. 48 </span>
<span>E. 49
</span>
The answer is C or 47. The object’s resultant angle of motion with the +x-axis after the collision is 47. The reason for that is f<span>rom object A’s x-momentum is 5.7 × 104 kilogram meters/second and its y-momentum is 6.2 × 104 kilogram meters/second, we know that tan of the angle from the x-axis is 6.2 / 5.7 = 1.09 and acrtan 1.09 = 47.4</span>
In order to answer the question, you have to know the formula of the volume of a sphere.
Volume = (4/3) * pi * r^3
Sphere 1 = (4/3) * 3.14 * 3^3
Sphere 1 = 113.04 cm ^3
Sphere 2 = (4/3) * 3.14 * 6^3
Sphere 2= 904.32 cm^3
Difference = Sphere 2 - Sphere 1
Difference = 904.32 - 113.04
Difference = 791.28 cm^3
The larger balloon has 791.28 cm^3 more water than the smaller one.
Expand
6 - 3x + 15 = 5x - 11
Simplify 6 - 3x + 15 to -3x + 21
-3x + 21 = 5x - 11
Add 3x to both sides
21 = 5x - 11 + 3x
Simplify 5x - 11 + 3x to 8x - 11
21 = 8x - 11
Add 11 to both sides
21 + 11 = 8x
Simplify 21 + 11 to 32
32 = 8x
Divide both sides by 8
32/8 = x
Simplify 32/8 to 4
4 = x
Switch sides
<u>x = 4</u>
X - 4y + b = 0 answer
The equation of a line parallel to a line ax + by + c = 0 is ax + by + d = 0.
In other words, the equation of two parallel lines differ by a constant.
Therefore, if the equation of the line is: x - 4y - 16 = 0, then the equation of the line parallel to this should be: x - 4y + d = 0.
If we are given a point, say (x₁, y₁) on the line then we can substitute this point on the equation to determine the value of 'd'.