Answer:
Corn was planted in 24 sq.ft. of the vegetable garden.
Step-by-step explanation:
Length of garden = 9 ft
width of garden = 8 ft
Hence we will first find the total area of garden.
Total area of garden = length × width = 
He planted 1/2 of the garden with vegetables.
Hence.
Area of Vegetables garden = 
He planted tomatoes in 1/3 of the vegetable garden and corn in the rest
Area in which tomatoes was planted = 
Hence Area in which corn were planted = Area of Vegetables garden - Area in which tomatoes was planted = 
Hence Area of vegetable garden in which corn was planted is 24 sq.ft.
Answer:
The coordinates of E are
.
Step-by-step explanation:
The triangle ABC represents a right triangle as both sides AB and AC are orthogonal to each other. The side AB is in the y axis, whereas the side AC is in the x axis. The triangle is dilated with respect to the origin, in which point A is set.
Vectorially speaking, dilation is defined by the following operation:
(1)
Where:
- Point of reference.
- Original point.
- Dilated point.
- Dilation factor.
By applying this operation, point B becomes point D:
, 
![D(x,y) = (0,0) + k\cdot [(0,4)- (0,0)]](https://tex.z-dn.net/?f=D%28x%2Cy%29%20%3D%20%280%2C0%29%20%2B%20k%5Ccdot%20%5B%280%2C4%29-%20%280%2C0%29%5D)




Lastly, we transform point C into point E by applying the same operation:
,
and 
![E(x,y) = (0,0) + \frac{3}{2}\cdot [(3,0)-(0,0)]](https://tex.z-dn.net/?f=E%28x%2Cy%29%20%3D%20%280%2C0%29%20%2B%20%5Cfrac%7B3%7D%7B2%7D%5Ccdot%20%5B%283%2C0%29-%280%2C0%29%5D)

The coordinates of E are
.
40
100
or the decimal 0.40. Notice that 80 out of 200 and 10 out of 25 are also 40%, since
80
200
=
10
25
=
40
100
Answer: you will need approximately 23 grams
Step-by-step explanation: but thats approximately
Answer:
-20/7
Step-by-step explanation:
5m +72 = -2m + 52
5m + 2m = 52-72
7m = -20
m = -20/7