Answer:
<h2>i. $97.4</h2><h2>ii. $1412.6</h2>
Step-by-step explanation:
step one:
given data
Bob's monthly salary is $1510
tax= 6.45%
Required
The deduction and his take-home salary
Step two:
let us compute the deduction
=6.45/100*1510
=0.0645*1510
=$97.4
Let us compute his take home
=monthly salary- tax deduction
=$1510-$97.4
=$1412.6
Answer:
1) 24 is <span>40%</span> of 60
<span><span>2) (.4)100x</span>=24</span>
<span><span>3) 25</span>x=24</span>
<span><span>4) 25</span>x⋅5=24⋅5</span>
<span>5) 2x=120</span>
<span><span><span>6) 2x/</span>2</span>=<span>120/2</span></span>
<span>7) x=<span>60</span></span>
Answer:
C. x = 3, y = 2
Step-by-step explanation:
If both triangles are congruent by the HL Theorem, then their hypotenuse and a corresponding leg would be equal to each other.
Thus:
x + 3 = 3y (eqn. 1) => equal hypotenuse
Also,
x = y + 1 (eqn. 2) => equal legs
✔️Substitute x = y + 1 into eqn. 1 to find y.
x + 3 = 3y (eqn. 1)
(y + 1) + 3 = 3y
y + 1 + 3 = 3y
y + 4 = 3y
y + 4 - y = 3y - y
4 = 2y
Divide both sides by 2
4/2 = 2y/2
2 = y
y = 2
✔️ Substitute y = 2 into eqn. 2 to find x.
x = y + 1 (eqn. 2)
x = 2 + 1
x = 3
Since there are 8 total, and 4 is the amount to find as a fraction, we simply divide 4 by 8 to get 4/8