Answer:
−
37 x+
43
Step-by-step explanation:
Answer:
Step-by-step explanation:
I think it is helpful to set this up as a proportion as it is the easiest way in my opinion.
1st step: 396/18 and x/11
This is the way you set up the proportion.
2nd Step: You would have to multiply 396 and 11 then divide the value by 18.
396x11 = 4,356
4,356/18 = 242
x=242 Dollars
Answer: 242 dollars
Therefore, Alan would make 242$ while working at the same rate for 11 hours.
She charges $15 extra for each hour increased.
15+15=30 ,30+15=45, 45+15=60.
$15 is the unit rate.
Formula of square area
a = s²
thus, area of the first square could be written as s₁² and area of the second square could be written as s₂²
First, write an expression in the form of equation system
An expression for "The combined area of two squares is 45 square centimeters" is:
⇒ s₁² + s₂² = 45 <em>(first equation)</em>
An expression for "Each side of one square is twice as long as side of the other" is:
⇒ s₁ = 2s₂ <em>(second equation)</em>
Second, solve the equation system by substitution method.
⇒ We could substitute 2s₂ to s₁ (second equation) in the first equation in order to find the value of s₂
s₁² + s₂² = 45
(2s₂)² + s₂² = 45
(2²)(s₂)² + s₂² = 45
4s₂² + s₂² = 45
5s₂² = 45
s₂² = 45/5
s₂² = 9
s₂² = 3²
s₂ = 3
⇒ Substitute the value of s₂ to the second equation in order to find the value of s₁
s₁ = 2s₂
s₁ = 2(3)
s₁ = 6
The length of each side of the larger square is 6 centimeters
<span>$15.16, FICA tax
</span><span>$29.33, income tax
</span><span>2% state tax = 215 x 0.02=$4.3
</span><span>1% city tax = 215 x 0.01 = $2.15
</span><span>3% retirement fund = 215 x 0.03 = $6.45
</span>
$15.16 + $29.33 + $4.3 + $2.15 + $6.45 = $57.39
$215 -$57.39 =$157.61
net income = $157.61
