7.4x + 4.1(2x − 4) = −2.3(x − 6) − 21.6
1 answer:
Answer:
x =
Step-by-step explanation:
7.4x + 4.1(2x − 4) = −2.3(x − 6) − 21.6
Multiply both sides by 10:
7.4x×10+4.1(2x-4)×10=-2.3(x-6)×10-21.6×10
Refine:
74x+41(2x-4)=-23(x-6)-216
Distributive Property:
74x+82x-164=-23(x-6)-216
Combine like terms:
156x-164=-23(x-6)-216
Distributive Property:
156x-164=-23x+138-216
Combine like terms:
156x-164=-23x-78
Add 164 to both sides:
156x-164+164=-23x-78+164
Simplify:
156x=-23x+86
Add 23x to both sides:
156x+23x=-23x+86+23x
Simplify:
179x=86
Divide both sides by 179:
=
Simplify:
x =
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<h3>Solving for the measurements of Complementary Angles</h3><h3>Answer:</h3>
and
Recall that Angles that are complementary to each other add up to .
Let be the measure of the complementary angle.
If an angle is more than its complementary angle, the measure of that angle is
. The sum of both angles are expressed
but since the have to add to
as they are complementary,
.
Solving for :
Since the other angle measures , we can plug in the value of
to find the measure of the angle.
Evaluating :
The measure of the angles are and
Answer:
The sum of the money shared is $1372
Step-by-step explanation:
The given ratio is
Albert:Michael:Moses=3:5:6
The total ratio is 3+5+6=14
Let the sum of money shared be $x.
Then Albert's share = 3/14 x = 3
/ 14
Michal's Share = 5x/14
If Michael received $196 more than Albert, then the difference between their share is the $196.