Since Joe has 5/6 pounds left and he only needs 1/3 pounds
each day to feed the birds, therefore the number of remaining day’s worth of
seed is:
days = (5/6) / (1/3) = 2.5
The remaining seed can run up to 2 and half days. This also
means that after 2 days, he is remained with ½ of 1/3 pound. ½ of 1/3 pound is
equivalent to 1/6 pound. Therefore the correct rectangle model to use is:
<span>Rectangle
model divided into 3 equal sections, two sections are labeled one-third and one
section is labeled one-sixth, equaling two and one-half days.</span>
Answer:
(4x)^ 10
Step-by-step explanation:
The coordinates of the vertex that A maps to after Daniel's reflections are (3, 4) and the coordinates of the vertex that A maps to after Zachary's reflections are (3, 2)
<h3>How to determine the coordinates of the vertex that A maps to after the two reflections?</h3>
From the given figure, the coordinate of the vertex A is represented as:
A = (-5, 2)
<u>The coordinates of the vertex that A maps to after Daniel's reflections</u>
The rule of reflection across the line x = -1 is
(x, y) ⇒ (-x - 2, y)
So, we have:
A' = (5 - 2, 2)
Evaluate the difference
A' = (3, 2)
The rule of reflection across the line y = 2 is
(x, y) ⇒ (x, -y + 4)
So, we have:
A'' = (3, -2 + 4)
Evaluate the difference
A'' = (3, 4)
Hence, the coordinates of the vertex that A maps to after Daniel's reflections are (3, 4)
<u>The coordinates of the vertex that A maps to after Zachary's reflections</u>
The rule of reflection across the line y = 2 is
(x, y) ⇒ (x, -y + 4)
So, we have:
A' = (-5, -2 + 4)
Evaluate the difference
A' = (-5, 2)
The rule of reflection across the line x = -1 is
(x, y) ⇒ (-x - 2, y)
So, we have:
A'' = (5 - 2, 2)
Evaluate the difference
A'' = (3, 2)
Hence, the coordinates of the vertex that A maps to after Zachary's reflections are (3, 2)
Read more about reflection at:
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Answer:
$3952.13
Step-by-step explanation:
Annuity amount = future value / annuity factor
Annuity factor = {[(1+r)^n] - 1} / r
FV = Future value = $75,000
R = interest rate = 8%
N = number of years = 12
Annuity factor = [(1/08)^12 - 1 ] / 0.08 = 1.8977126
Annuity amount = $75,000 / 1.8977126 = $3952.13
Answer:
y ≥ -x +2
Step-by-step explanation:
The solid line has a slope of -1 and a y-intercept of 2, so its equation in slope-intercept form is ...
y = -x +2
The shaded area is above this line, and the line is part of the solution set, so we want an inequality that has "y" and the comparison symbol in this order: "y ≥" or "≤ y".
We already have an equation with "y" on the left, above, so we just need to introduce the comparison symbol:
y ≥ -x +2
Another way to write this is ...
x + y ≥ 2
