Answer:
100 cubic inches
Step-by-step explanation:
If she fills 3 inches of the pitcher with sugar, the height will be reduced from 7 inches to 4.
Find how many cubic inches are left for lemonade by finding the volume
Use the volume formula, V = lwh
V = lwh
V = (5)(5)(4)
V = 100
So, there are 100 cubic inches left for lemonade
9n = 81 <-- equation
n = 81/9
n = 9 <-- answer to equation
hope this helps and have a great day :)
-3x+5y=10 (add 3x on both side)
5y=3x+10 ( divide 5 to each term)
y=3/5x+2
slope is 3/5
y-intercept is 2
Answer:
{1,-4}
Step-by-step explanation:
The two equations have different slopes, so the system is possible
y = -2x - 2
y = 2x - 6
2x - 6 = -2x - 2
4x = 4
x = 1
y = 2 - 6
y = -4
Step-by-step explanation:
11.
Area of rectangle = 408 in²
Length = 3x-2 and width = x
The area of a rectangle is given by :
A = lb
(3x-2)x = 408
x = 12 inch and x = -11.33 in
Neglecting negative value,
The width of rectangle = 12 inch
The length of rectangle = 3x-2 = 3(12)-2 = 34 inch
12.
Base of triangle = 2x+2
Height = x
The area of a triangle is given by :

x = 24 cm and x = -25 cm
Neglecting negative value, x = 24 cm
Base = 2x+2 = 2(24)+2 = 50 cm
Hence, this is the required solution.