Isolate The variable by dividing each side by factors that don’t contain variable
X=407 that’s if you round to the nearest whole number if you don’t want that the answer is 406.74874601
The value of this question is 43
Answer:
![8\ vegetable\ plots](https://tex.z-dn.net/?f=8%5C%20vegetable%5C%20plots)
Step-by-step explanation:
we know that
To find out how many vegetable plots Rocha has, divide the total acres of land by the fraction of each vegetable plot.
so
![\frac{2}{3} :\frac{1}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%20%3A%5Cfrac%7B1%7D%7B12%7D)
Multiply in cross
![\frac{2*12}{3*1}=\frac{24}{3}=8\ vegetable\ plots](https://tex.z-dn.net/?f=%5Cfrac%7B2%2A12%7D%7B3%2A1%7D%3D%5Cfrac%7B24%7D%7B3%7D%3D8%5C%20vegetable%5C%20plots)
First of all, let's convert all the measures to the same unit: 4 feet are 48 inches.
Now, as the wheel turns, there is a proportion between the angle and the distance travelled: for example, when the car moves forward a whole circumference, the angle will be 360°. Conversely, if the wheel turns 180°, then the car will move forward a distance which is half the circumference of the wheel, and so on.
Since the radius is 16 inches, the circumference will be
![C=2\pi r = 32\pi](https://tex.z-dn.net/?f=C%3D2%5Cpi%20r%20%3D%2032%5Cpi)
So, we have the following proportion:
![360\div 32\pi = x \div 48](https://tex.z-dn.net/?f=360%5Cdiv%2032%5Cpi%20%3D%20x%20%5Cdiv%2048)
that you can read as: "if an angle of 360 corresponds to a distance travelled of
, then the unknown angle x corresponds to a distance travelled of 48 inches.
Solving for x, we have
![x = \dfrac{360\cdot 48}{32\pi} = \dfrac{17280}{32\pi} = 171.887338539\ldots \approx 171.9](https://tex.z-dn.net/?f=x%20%3D%20%5Cdfrac%7B360%5Ccdot%2048%7D%7B32%5Cpi%7D%20%3D%20%5Cdfrac%7B17280%7D%7B32%5Cpi%7D%20%3D%20171.887338539%5Cldots%20%5Capprox%20171.9)
Answer:
D) -30x^2 -64x -18
Step-by-step explanation:
Given:
f(x) = 6x +2 and g(x) = -5x - 9
f(x).g(x) = (6x + 2) (-5x - 9)
Use distributive property
= 6x(-5x -9) + 2(-5x - 9)
= -30x^2 - 54x - 10x -18
= -30x^2 -64x - 18
Answer: d) -30x^2 -64x -18
Thank you.