Answer:
It will take 1 5/7 hours
Step-by-step explanation:
3/4 of an hour is;
3/4 * 60 minutes = 45 minutes
3 1/2 acres is done in 45 minutes
8 acres will be done in x minutes
Thus, mathematically;
3 1/2 * x = 8 * 45
7x/2 = 360
7x = 2 * 360
7x = 720
x = 720/7 minutes
Let us convert this to hours
That will be;
720/7/60 = 720/(60 * 7) = 720/420 = 12/7
= 1 5/7 hours
Answer:
![x=9.6cm](https://tex.z-dn.net/?f=x%3D9.6cm)
Step-by-step explanation:
![x=\frac{2Area}{20}\\\\Area = \frac{16 * 12}{2} = 96 cm^{2}\\ \\x = \frac{2 * 96}{20} = \frac{192}{20} = \frac{48}{5} = 9.6 cm](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B2Area%7D%7B20%7D%5C%5C%5C%5CArea%20%3D%20%5Cfrac%7B16%20%2A%2012%7D%7B2%7D%20%3D%2096%20cm%5E%7B2%7D%5C%5C%20%20%20%5C%5Cx%20%3D%20%5Cfrac%7B2%20%2A%2096%7D%7B20%7D%20%20%3D%20%5Cfrac%7B192%7D%7B20%7D%20%20%3D%20%5Cfrac%7B48%7D%7B5%7D%20%3D%209.6%20cm)
2x + 5y = -3 ⇒ 2x + 5y = -3
1x + 8y = 4 ⇒ <u>2x + 16y = 8
</u> -<u>11y</u> = <u>-11 </u>
-11 -11
y = 1
2x + 5(1) = -3
2x + 5 = -3
<u> -5 -5</u>
<u>2x</u> = <u>-8</u>
2 2
x = -4
(x, y) = (-4, 1)
2x + 1y = 7 ⇒ 2x + 1y = 7
1x - 2y = -14 ⇒ <u>2x - 4y = -28</u>
<u>5y</u> = <u>35</u>
5 5
y = 7
2x + 7 = 7
<u> -7 -7</u>
<u>2x</u> = <u>0</u>
2 2
x = 0
(x, y) = (0, 7)
Answer:
$16,000
Step-by-step explanation:
Revenue is the product of price and the number sold. Using the given relation for number sold, the revenue as a function of price is ...
R(p) = p(-40p +1600) = -40p(p -40)
This is the equation of a quadratic that opens downward and has zeros at p=0 and p=40. The vertex is halfway between those zeros, at p=20. The revenue at this price is ...
R(20) = -40·20(20 -40) = 16,000 . . . . dollars
Answer: The fraction x = 1/2 or its equivalent decimal form x = 0.5
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Work Shown:
AE = 2*(BD)
4x+8 = 2*(4x+3)
4x+8 = 8x+6
8-6 = 8x-4x
2 = 4x
4x = 2
x = 2/4
x = 1/2
x = 0.5
note: the first equation is set up basically saying that AE is twice that of BD; put another way, BD is half as long as AE. This is one property of midsegments. Another property is that AE and BD are parallel.
another note: if x = 0.5, then AE = 4*x+8 = 4*0.5+8 = 10 while BD = 4*x+3 = 4*0.5+3 = 5, showing that AE is indeed two times longer than BD.