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:
Length of the line segment with endpoints (11,−4) and (−12,−4) is 23 units
Step-by-step explanation:
Given:
Endpoints are (11,−4) and (−12,−4)
To Find:
The length of the line = ?
Solution:
The length of the line can be found by using the distance formula

Here
= 11
= -12
= -4
= -4
Substituting the values
Length of the line
=>
=>
=>
=>
=>23
1) 3.8x + 5.2x - 6.7 = 11.3
9x = 11.3 + 6.7
9x = 18
x = 18/9
x = 2
2) 7.8y - 4.9 - 5.4y = 2.3
2.4y = 7.2
y = 7.2/2.4
y = 3
3)



Multiply by 3 by both sides:

Simplify:
2x = 18
x = 18/2
x = 9
4)

Do lowest common denominator:



Simplify by 5 by both sides:


Answer:
The first equation should be multiplied by 9 and the second equation by −4
Step-by-step explanation:
Given the simultaneous equation
First Equation: 5x − 4y = 28
Second equation: 3x - 9y = 30
In order to eliminate y, we must make the coefficient of x in both expression to be equal.
To do that the first equation should be multiplied by 9 (negative value of the coefficient of y in equation 2)and the second equation by -4( (coefficient of y in equation 1)