The equation that describes the which gives the area of the pen, A, as a function of x, the length of fence parallel to the barn is A = 130x - x²
<h3>How to find area of a rectangle?</h3>
The pen is rectangular. Therefore,
area of a rectangle = lw
where
Therefore,
perimeter = 2w + l
perimeter = 2w + x
130 = 2w + x
130 - x = 2w
w = 65 - 1/ 2 x
A = xw
A = x(65 - 1/ 2 x)
A = 65x - 1 / 2 x²
Therefore, the function that represents A, the area of the pen is as follows:
A = 130x - x²
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We want to find miles per gallon. Another way of saying miles per gallon is miles/gallon. So we will plug the numbers into this equation:
60 miles/3 gallons = 20 miles/gallon
This is because 60/3=20.
I hope this makes sense.
-6p=48
/-6. /-6
P=-8
P equals -8
Answer:
10d - 3x
Step-by-step explanation:
Distribute the 4: 12d - 8x
Distribute the -1: -2d + 5x
Add like terms: 10d - 3x
We have been given that a company makes wax candles in the shape of a solid sphere. Each candle has a diameter of 15 cm. We are asked to find the number of candles that company can make from 70,650 cubic cm of wax.
To solve our given problem, we will divide total volume of wax by volume of one candle.
Volume of each candle will be equal to volume of sphere.
, where r represents radius of sphere.
We know that radius is half the diameter, so radius of each candle will be cm.
Now we will divide 70,650 cubic cm of wax by volume of one candle.
Therefore, 40 candles can be made from 70,650 cubic cm of wax.