Step-by-step explanation:
$21=per hour mowling
$17=per hour gardening
only work 16 hours per week
Goals =$275 per week
$275÷16 hours=<u>$</u><u>17.1875</u><u>(</u><u>Each</u><u> </u><u>hour</u><u> </u><u>in</u><u> </u><u>a</u><u> </u><u>week</u><u>)</u>
<u>mow</u><u> </u><u>lawns</u><u>=</u><u> </u><u>$</u><u>17.1875</u><u> </u><u>×</u><u>$</u><u>12</u><u>=</u><u>$</u><u>206.25</u><u>(</u><u>for</u><u> </u><u>16</u><u> </u><u>hours</u><u>)</u>
<u>gardening</u><u>=</u><u>$</u><u>17.1875 </u><u>×</u><u>$17=$292.1875</u><u>(</u><u>for</u><u> </u><u>16</u><u> </u><u>hours</u><u>)</u>
<u>m</u><u>o</u><u>w</u><u>l</u><u>i</u><u>n</u><u>g</u><u> </u><u>lawns</u><u>=</u><u>$</u><u>275</u><u>÷</u><u>$</u><u>21</u><u>=</u><u>13.0952380952</u><u>(</u><u>13</u><u> </u><u>hours</u><u>,</u><u>12</u><u> </u><u>minutes</u><u> </u><u>and</u><u> </u><u>30</u><u> </u><u>seconds</u><u>)</u>
<u>Gardening</u><u> </u><u>=</u><u>$</u><u>275</u><u>÷</u><u>$</u><u>17</u><u>=</u><u> </u><u>$</u><u>16.1764705882</u><u> </u><u>(</u><u>970</u><u> </u><u>hours</u><u>,</u><u>9</u><u> </u><u>minutes</u><u>,</u><u>80</u><u> </u><u>seconds</u><u>)</u>
<u>A</u><u> </u><u>little</u><u> </u><u>help</u><u> </u><u>not</u><u> </u><u>fully</u><u> </u><u>answered</u>
<u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u>
Answer:
27/2
Step-by-step explanation:
Given
Vertices (0, 0), (3, 0), and (0, 3)
Since the base of the equilateral in the plane perpendicular to the x-axis goes from the x-axis to the line y = 3 - x.
So, the length of each side of the triangle is (3-x)
Calculating the area;
Area = ½bh
Where b = base = 3 - x
height is calculated as;
h² = (3-x)² + (½(3-x))² --- from Pythagoras
h² = 9 - 6x + x² + (3/2 - ½x)²
Let h² = 0
0 = 9 - 6x + x² + (9/4 - 6/4x + ¼x²)
0 = 9 + 9/4 - 6x - 6/4 + x² + ¼x²
0 = 45/4 - 30x/4 + 5x²/4
0. = 5x²/4 - 30x/4 + 45/4
0 = 5x² - 15x/4 - 15x/4 + 45/4
0 = 5x(x/4-¾) - 15(x/4 - ¾)
0 = (5x - 15)(x/4 - ¾)
5x = 15 or x/4 = 3/4
x = 3 or x = 3
So, h = 3
Area = ½bh
Area = ½ * (3-x) * 3
Area = ½(9-3x)
Volume= Integral of ½(9-3x) {3,0}
V = 9/2 - 3x/2 {3,0}
V = 9x/2 - 3x²/4 {3,0}
V = 9(3)/2 - 3(3)²/4
V = 27/2 - 27/4
V = 27/2
158................….....
Answer:
k = 5
Step-by-step explanation:
Given y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 20 when x = 4, then
20 = 4k ( divide both sides by 4 )
5 = k
Answer:
-8 < x, the answer is B
Step-by-step explanation:
Since its starting from -8 and your going to the greater side of the numberline teh variable will be greater than -8, whenever the circle is filled it just means greater than or equal to depending on which side its going. If its filled in, it means that its greater than or equal to or less than or equal to depending on which side its going towards.
Reminder:
<--------------- Negative side/Lower -----------------------> Positive side/Greater