Answer:
x=3 and 1/2
Step-by-step explanation:
4x+7y=-14
8x+5y=8
2(4x+7y=-14)
8x+14y=-28
8x+5y=8
9y=-36
y=-4
8x+5(-4)=8
8x-20=8
8x=28
x=3 and 1/2
Answer:
B. 39.27 in.³.
Step-by-step explanation:
✔️Volume of the taller cylindrical mug = πr²h
Where,
r = ½(5) = 2.5 in.
h = 6 in.
Volume = π × 2.5² × 6
Volume of taller mug = 117.81 in.³
✔️Volume of the shorter cylindrical mug = πr²h
Where,
r = ½(5) = 2.5 in.
h = 4 in.
Volume = π × 2.5² × 4
Volume of taller mug = 78.54 in.³
✔️Thus:
117.81 in.³ - 78.54 in.³ = 39.27 in.³.
Therefore, the taller mug is 39.27 in.³ volume more than the shorter mug.
Answer: the length of fencing that Juan needs to surround the entire garden is 6x - 4
Step-by-step explanation:
The perimeter of a plane shape is the distance round the shape. The garden is rectangular in shape.
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(L + W)
The length of the garden is (2x – 5) feet and the width of the garden is (x + 3) feet. The length of fencing that Juan would need is
2[(2x - 5) + (x + 3)]
= 2(2x + x - 5 + 3)
= 2(3x - 2)
= 6x - 4
Answer:
(-1,-1)
Step-by-step explanation:
-6x+5y=1
6x+4y=-10
Add the two equations together to eliminate x
-6x+5y=1
6x+4y=-10
---------------------
9y = -9
Divide by 9
9y/9 = -9/9
y= -1
Substitute back into one of the equations to find x
-6x+5y=1
-6x +5(-1) = 1
-6x -5 = 1
Add 5 to each side
-6x -5+5 = 1+5
-6x = 6
Divide by -6
-6x/-6 = 6/-6
x = -1
(-1,-1)
You pretty much just flip the second fraction and factor
