Jessica pays a membership fee of $40
so that's given to us
<span>Jessica has a membership fee of $40 (given)
Nancy has a membership fee of $30 (y intercept of the equation)
</span>so how much is jessica going to pay is $10 more than Nancy
Answer:
No solution.
Step-by-step explanation:
Step 1: Write equation
-3(-x + 4) = 5 + 3(x + 1)
Step 2: Solve for <em>x</em>
- Distribute: 3x - 12 = 5 + 3x + 3
- Combine like terms: 3x - 12 = 3x + 8
- Subtract 3x on both sides: -12 ≠ 8
Here, we see that <em>x</em> has to equal no solution. No value of <em>x</em> would make the equation true.
Answer:
9 is an rational number because it is a whole number
Step-by-step explanation:
Slope-intercept form:
y = mx + b "m" is the slope
First i would isolate the "y" in the equation.
2x + y = 4 Subtract 2x on both sides
2x - 2x + y = 4 - 2x
y = 4 - 2x or y = -2x + 4
The given line's slope is -2.
For lines to be perpendicular, their slopes have to be the opposite/negative reciprocals (flipped sign and number)
For example:
slope is 2
perpendicular line's slope is -1/2
slope is -2/3
perpendicular line's slope is 3/2
The given line's slope is -2, so the perpendicular line's slope is 1/2.
The 3rd option is your answer
Answer:
4 pitches
Step-by-step explanation:
if a cylinder with height 9 inches and radius r is filled with water, it can fill a certain pitcher. how many of these pitchers can a cylinder with height 9 inches and radius 2r fill? explain how you know.
Solution:
The volume of a cylinder is given by:
V = πr²h;
where V is the volume, r is the radius of the cylinder and h is the height of the cylinder.
A cylinder with height 9 inches and radius r can fill a certain pitcher. Therefore the volume of the cylinder is:
V = πr²h = πr²(9) = 9πr²
V = volume of pitcher = volume of cylinder with radius r = 9πr²
For a cylinder with height 9 inches and radius 2r its volume is:
V2 = πr²h = π(2r)²(9) = 36πr²
Therefore, the number of pitchers a cylinder with height 9 inches and radius 2r can fill is:
number of pitches = 36πr² / 9πr² = 4
Therefore a cylinder with height 9 inches and radius 2r can fill 4 pitches.
