Answer: x = 40.5
Step-by-step explanation:
Simply divide 27/(2/3) to get 40.5
<em>Hope it helps <3</em>
Answer:
<em>Colin spends 1/8 of an hour practicing each song</em>
Step-by-step explanation:
Colin's piano lesson is 3/4 of an hour, long.
In that period, he practices 6 different songs, spending an equal amount of time on each one.
This means that each song gets the sixth part of the lesson duration. The fraction that expresses that amount is:

Colin spends 1/8 of an hour practicing each song
Mike's withdrawals will be treated as negative numbers.
Since Mike withdrew $60 three times, use the following equation to find the change in his balance:

The change in Mike's account balance will be
-$180.
Answer:
The answer to your question is 14° and 76°
Step-by-step explanation:
Data
leg 1 = x
leg 2 = x/4
angle 1 = ?
angle 2 = ?
Process
To solve problem use trigonometric functions. We must use the trigonometric function that relates both legs (tangent).
tangent Ф = Opposite side / Adjacent side
-Substitution
tan Ф = (x/4) / x
-Simplification
tan Ф = x / 4x
tan Ф = 1/4
- Find Ф
Ф = tan⁻¹(1/4) = 14°
- Find the other acute angle
The sum of the internal angles in a triangles equals 180°
Ф + Ф₁ + 90° = 180
-Solve for Ф₁
Ф₁ = 180 - 90 - 14
-Result
Ф₁ = 76°
I hope this helps you
9/9+18=x/x+10
9/27=x/x+10
1/3=x/x+10
3x=x+10
x=5