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Feliz [49]
3 years ago
5

The total annual premium for health insurances for Brooke is $8340. Her employer pay 70% of the premium and deducts the remainde

r from her paychecks. Brooke is paid weekly. How much is deducted from her paycheck for health insurance?
224.54
112.27
96.23
48.12
Mathematics
1 answer:
Ede4ka [16]3 years ago
6 0

8340 x 70% = 8340 x 0.7 = 5838 ( amount employer pays)

8340 - 5838 = 2502 ( amount she needs to pay)

2502/52 = 48.115 round off to 48.12

she pays 48.12 per week.

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The answer is: x^4+6x+6

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Help please!!! Thank you
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<u>Given</u>:

The given expression is \frac{4 d+28}{12 d+96} \cdot \frac{d^{2}+14 d+48}{d^{2}+9 d+14}

We need to multiply the terms.

<u>Multiplication of the terms:</u>

Before multiplying the terms, first we shall find the factors of the quadratic equations.

Thus, we have;

\frac{4 d+28}{12 d+96} \cdot \frac{(d+6)(d+8)}{(d+2)(d+7)}

Factor out the common terms, we get;

\frac{4 (d+7)}{12 (d+8)} \cdot \frac{(d+6)(d+8)}{(d+2)(d+7)}

Let us cancel the common terms from the above expression.

Thus, we have;

\frac{4 }{12 } \cdot \frac{(d+6)}{(d+2)}

Simplifying, the term, we get;

\frac{1}{3 } \cdot \frac{(d+6)}{(d+2)}

Now, we shall multiply the terms.

Hence, multiplying the terms, we get;

\frac{(d+6)}{3(d+2)}

Thus, the multiplied value of the given expression is \frac{(d+6)}{3(d+2)}

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On a certain hot​ summer's day, 659 people used the public swimming pool. The daily prices are $ 1.75 for children and $ 2.00 fo
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351 children and 308 adults swam at the public pool.

Step-by-step explanation:

Let,

Children = x

Adults = y

Price per children = $1.75

Price per adult = $2.00

According to given statement;

x+y=659    Eqn 1

1.75x+2y=1230.25   Eqn 2

Multiplying\ Eqn\ 1\ by\ 2\\2(x+y=659)\\2x+2y=1318 \ \ \ Eqn\ 3\\Subtracting\ Eqn\ 2\ from\ Eqn\ 3\\(2x+2y)-(1.75x+2y)=1318-1230.25\\2x+2y-1.75x-2y=87.75\\0.25x=87.75\\Dividing\ both\ sides\ by\ 0.25\\\frac{0.25x}{0.25}=\frac{87.75}{0.25}\\x=351\\Putting\ value\ of\ x\ in\ Eqn\ 1\\351+y=659\\Subtracting\ 351\ from\ both\ sides\\351-351+y=659-351\\y=308

351 children and 308 adults swam at the public pool.

Keywords: Linear equations, Division

Learn more about linear equations at:

  • brainly.com/question/10703930
  • brainly.com/question/10772025

#LearnwithBrainly

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