Answer: 2p+1.50=11.50
p = 5.00
<u>Step-by-step explanation:</u>
<em>Note: the tip is calculated on top of the total so this figure is a redherring</em>
<u>2 pancakes</u> <em>plus</em> <u>1 fruit cup</u> <em>equals</em> <u>total bill</u>
2p + 1.50 = 11.50
2p + 1.50 = 11.50
<u> - 1.50 </u> <u> - 1.50 </u>
2p = 10.00
<u>÷2 </u> <u> ÷2 </u>
p = 5.00
7. previously answered in another question, but last choice is correct
8. yes a diameter is a chord. A chord is any line that connects 2 points on a circle
Subtract 4<span> from both sides
</span><span><span>y−4>−2x</span>
<span>Divide both sides by -2
</span>
x>-y-4/2
Question 2 - y>x-4
Add 4 to both sides
<span><span>y+4>x
Switch sides
</span>
<span><span>x<y+4</span><span>
</span></span></span>
</span>
The formula for an area of a regular parallelogram is:
A = l * w
Where,
l = length
w = width
We are given that the total measurement of fence is only
60 feet and one side of the house is used as one side of the pen. Therefore,
l + 2 w = 60
<span>or simplifying to make an explicit expression for
one variable, say l:</span>
l = 60 – 2 w
<span>Substituting to the 1st equation:</span>
A = (60 – 2 w) * w
A = 60 w – 2 w^2
<span>The maxima are obtained by getting the 1st
derivative then equating dA/dw = 0:</span>
dA/dw
= 60 – 4 w
60 –
4 w = 0
4 w
= 60
w =
15
Since
l = 60 - 2w
l =
60 – 30
l =
30
<span>Therefore
the dimension that will make the largest pen is 15 ft by 30 ft.</span>
<span>ANSWER: C</span>
