Answer: 12
x
+
3
4
=
3
2
12
x
+
3
4
=
3
2
Move
3
2
3
2
to the left side of the equation by subtracting it from both sides.
12
x
+
3
4
−
3
2
=
0
12
x
+
3
4
-
3
2
=
0
Simplify
12
x
+
3
4
−
3
2
12
x
+
3
4
-
3
2
.
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12
x
−
3
4
=
0
12
x
-
3
4
=
0
To write
−
3
2
-
3
2
as a fraction with a common denominator, multiply by
2
2
2
2
.
12
x
+
3
4
−
3
2
⋅
2
2
=
0
12
x
+
3
4
-
3
2
⋅
2
2
=
0
Write each expression with a common denominator of
4
4
, by multiplying each by an appropriate factor of
1
1
.
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12
x
+
3
4
−
3
⋅
2
4
=
0
12
x
+
3
4
-
3
⋅
2
4
=
0
Combine the numerators over the common denominator.
12
x
+
3
−
3
⋅
2
4
=
0
12
x
+
3
-
3
⋅
2
4
=
0
Simplify the numerator.
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12
x
+
−
3
4
=
0
12
x
+
-
3
4
=
0
Move the negative in front of the fraction.
12
x
−
3
4
=
0
12
x
-
3
4
=
0
To write
12
x
12
x
as a fraction with a common denominator, multiply by
4
4
4
4
.
12
x
⋅
4
4
−
3
4
=
0
12
x
⋅
4
4
-
3
4
=
0
To write
−
3
4
-
3
4
as a fraction with a common denominator, multiply by
x
x
x
x
.
12
x
⋅
4
4
−
3
4
⋅
x
x
=
0
12
x
⋅
4
4
-
3
4
⋅
x
x
=
0
Write each expression with a common denominator of
x
⋅
4
x
⋅
4
, by multiplying each by an appropriate factor of
1
1
.
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12
⋅
4
4
x
−
3
x
4
x
=
0
12
⋅
4
4
x
-
3
x
4
x
=
0
Combine the numerators over the common denominator.
12
⋅
4
−
3
x
4
x
=
0
12
⋅
4
-
3
x
4
x
=
0
Simplify the numerator.
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3
(
16
−
x
)
4
x
=
0
3
(
16
-
x
)
4
x
=
0
Find the LCD of the terms in the equation.
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4
x
4
x
Multiply each term by
4
x
4
x
and simplify.
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48
−
3
x
=
0
48
-
3
x
=
0
Solve the equation.
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x
=
16
x
=
16
Answer:
$10.50
Step-by-step explanation:
The formula is Balance= Principle (starting amount) x Time x Interest rate. 350 x .03 x 1 is $10.50.
L-e3=+rere45456FXGD BDFXHGSFX
Answer:
24 units
Step-by-step explanation:
9514 1404 393
Answer:
1
Step-by-step explanation:
The right triangle is isosceles, so x = 45° and tan(x) = 1.
__
You can determine tan(x) either from your knowledge of trig function values, or from the fact that the two legs of the triangle are of equal length. The tangent is the ratio of the opposite leg to the adjacent one. When those legs are the same, the ratio is 1.
