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Dmitrij [34]
3 years ago
13

Angela works 18 hours a week for 12 weeks in the summer at the local swimming pool as a life guard. She earns $13 per hour. Her

employer takes 15 percent out of her check for federal income tax withholding and 6.2 percent for Social Security and 1.45 percent for Medicare. She will receive 12 paychecks, one for each week she works.
Mathematics
1 answer:
Musya8 [376]3 years ago
6 0
The whole 12 weeks she will make $2,172.

Her employer takes $421.2 for federal income tax.
Her employer takes $174.1 for Social Security.
Her employer takes $40.7 for Medicare.

She makes $181 a week.
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You're making cookies for a party. 1 of every 20 cookies falls apart. if you make 40 cookies how many will fall apart?
vlabodo [156]
On average, 2 will fall apart. We can tell this by making a proportion. 

1/20 = x/40 ---> cross multiply
1*40 = 20*x ---> multiply
40 = 20x ----> divide by 20
2 = x
4 0
3 years ago
Read 2 more answers
Two less than 5 times a number is the same as the number plus 6
Alex777 [14]

Answer:

3

Step-by-step explanation:

from the question,you get an expresion of

6n-5= n + 10

5n = 15

Isolate n

5n/5 = 15/5

n+3

6 0
3 years ago
Someone help me out please
uysha [10]

1 step (B): raise both sides of the equation to the power of 2.

(\sqrt{x+3}-\sqrt{2x-1})^2=(-2)^2,\\   (x+3)-2\sqrt{x+3}\cdot \sqrt{2x-1}+(2x-1)=4,\\ 3x+2-2\sqrt{x+3}\cdot \sqrt{2x-1}=4.

2 step (A): simplify to obtain the final radical term on one side of the equation.

-2\sqrt{x+3}\cdot \sqrt{2x-1}=4-3x-2,\\ -2\sqrt{x+3}\cdot \sqrt{2x-1}=2-3x,\\ 2\sqrt{x+3}\cdot \sqrt{2x-1}=3x-2.

3 step (F): raise both sides of the equation to the power of 2 again.

(2\sqrt{x+3}\cdot \sqrt{2x-1})^2=(3x-2)^2,\\ 4(x+3)(2x-1)=(3x-2)^2.

4 step (E): simplify to get a quadratic equation.

4(2x^2-x+6x-3)=(3x)^2-2\cdot 3x\cdot 2+2^2,\\ 8x^2+20x-12=9x^2-12x+4,\\ x^2-32x+16=0.

5 step (D): use the quadratic formula to find the values of x.

D=(-32)^2-4\cdot 16=1024-64=960, \\ \sqrt{D} =8\sqrt{5} ,\\ x_{1,2}=\dfrac{32\pm 8\sqrt{5}}{2} =16\pm 4\sqrt{5}.

6 step (C): apply the zero product rule.

x^2-32x+16=(x-16-4\sqrt{5}) (x-16+4\sqrt{5}) ,\\ (x-16-4\sqrt{5}) (x-16+4\sqrt{5}) =0,\\ x_1=16+4\sqrt{5} ,x_2=16-4\sqrt{5}.

Additional 7 step: check these solutions, substituting into the initial equation.

3 0
3 years ago
What’s the answer???
azamat

Answer:

C = 6.28 in.

A = 3.14 in.^2

Step-by-step explanation:

C = (pi)d

C = 3.14 * 2 in.

C = 6.28 in.

A = (pi)r^2

r = d/2 = 2 in./2 = 1 in.

A = 3.14 * (1 in.^2)

A = 3.14 in.^2

7 0
2 years ago
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Kaya rented a limousine for prom. There was a one-time charge of $100 plus an hourly rate of the total
kherson [118]

Answer:

3 hours

Step-by-step explanation:

it is $100 for 1 hour right. Ok so forget about the hourly rates. Then you are left with $300. $300 total÷100 per hour = 3 hours.

3 0
2 years ago
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