Answer:
1/2x
Step-by-step explanation:
Trust me bro lol
We can write a system of equations:
1x + 10y = 182
x + y = 56
Where 'x' is the number of $1 bills, and 'y' is the number of $10 bills.
To find this we can solve using substitution.
Re-arrange the 2nd equation:
x + y = 56
Subtract 'y' to both sides:
x = -y + 56
Now we can plug in '-y + 56' for 'x' in the first equation.
1x + 10y = 182
1(-y + 56) + 10y = 182
-y + 56 + 10y = 182
Subtract 56 to both sides:
-y + 10y = 126
Combine like terms:
9y = 126
Divide 9 to both sides:
y = 14
Now we can plug this into any of the two equations to find the 'x' value.
x + y = 56
x + 14 = 56
Subtract 14 to both sides:
x = 42
So our final answer is (42, 14).
This means that the motel clerk had 42 $1 bills, and 14 $10 bills.
Answer:
x=y−6
Step-by-step explanation:
<span>Simplifying
(7 + -2x)(11 + -2x)(x) = 0
Reorder the terms for easier multiplication:
x(7 + -2x)(11 + -2x) = 0
Multiply (7 + -2x) * (11 + -2x)
x(7(11 + -2x) + -2x * (11 + -2x)) = 0
x((11 * 7 + -2x * 7) + -2x * (11 + -2x)) = 0
x((77 + -14x) + -2x * (11 + -2x)) = 0
x(77 + -14x + (11 * -2x + -2x * -2x)) = 0
x(77 + -14x + (-22x + 4x2)) = 0
Combine like terms: -14x + -22x = -36x
x(77 + -36x + 4x2) = 0
(77 * x + -36x * x + 4x2 * x) = 0
(77x + -36x2 + 4x3) = 0
Solving
77x + -36x2 + 4x3 = 0
Solving for variable 'x'.
Factor out the Greatest Common Factor (GCF), 'x'.
x(77 + -36x + 4x2) = 0
Factor a trinomial.
x((7 + -2x)(11 + -2x)) = 0
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A must be parallel to b.
Proof:
∠3 = <span>∠13 (given)
</span>∠15 = <span>∠13 (vertically opposite angles are equal)
Since </span>∠13 = ∠3 and ∠13 = ∠15, ∠15 = <span>∠3
Then, a must be parallel to b (transverse line d cuts parallel lines producing converse alternate angles that are equal (ie </span>∠15 = <span>∠3))
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