Answer:
Enter a problem...
Algebra Examples
Popular Problems Algebra Solve for x 2/3x-2=7
2
3
x
−
2
=
7
Combine
2
3
and
x
.
2
x
3
−
2
=
7
Move all terms not containing
x
to the right side of the equation.
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2
x
3
=
9
Multiply both sides of the equation by
3
2
.
3
2
⋅
2
x
3
=
3
2
⋅
9
Simplify both sides of the equation.
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x
=
27
2
The result can be shown in multiple forms.
Exact Form:
x
=
27
2
Decimal Form:
x
=
13.5
Mixed Number Form:
x
=
13
1
2
Step-by-step explanation:
Thank's………………………………
Answer: 163 pounds
Step-by-step explanation: 12 stones is 168 pounds
Answer:
<h2>F = 32.2m</h2>
Step-by-step explanation:
According to newton second law, the force of gravity on an object varies directly with its mass and it is expressed mathematically as Fαm i.e
F = mg where;
F is the force of gravity
m is the mass of the body
g is the proportionality constant known as the acceleration due to gravity.
If the constant of variation due to gravity is 32.2ft/s², the equation that represents F, the force on an object due to gravity according to m, the object’s mass can be gotten by substituting g = 32.2 into the formula above according to the law as shown;
F = m*32.2
F =32.2m
Hence the required equation is F = 32.2m
Answer:
18ft wide and 33 ft long
Step-by-step explanation:
We are told in the question that:
Cynthia Besch wants to buy a rug for a room that is 20 ft wide and 35 ft long.
The Area of the carpeting she must have = 594 ft²
To solve for this, we have:
Length × Width = Area of a rectangle
594ft² = Length × Width
594ft² = (20 - x) (35 - x)
594 = 700 - 20x - 35x + x²
594 = 700 - 55x + x²
Collect like terms
x² - 55x + 700 - 594
x² - 55x + 106
We factorise
x² - 2x - 53x + 106
(x² - 2x) -(53x + 106)
x(x - 2) -53(x - 2)
(x - 2)(x - 53)
x - 2 = 0, x = 2
x - 53 = 0, x = 53
We choose the least value for x
Hence, x = 2
Length = 20 - 2 = 18ft
Width = 35 - 2 = 33ft
The dimensions the rug should have is 18ft by 33ft, meaning 18ft wide and 33 ft long
