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AlekseyPX
3 years ago
5

D = {x|x is a whole number}

Mathematics
1 answer:
Gemiola [76]3 years ago
6 0
D = {x|x is a whole number}
E = {4}
F = {2, 4, 6, 8}

D ∩ F = {2, 4, 6, 8}


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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Mashcka [7]

Multiplying eqn no. two with 4 we add it up with eqn 1.

4x - 5y = 10 \\  - 4x - 12y = 32 \\

- 17y = 42 \\ y =  \frac{ - 42}{17}

When

- x - 8 = 3y \\ x + 3y =  - 8

x =  - 8 -  3 \frac{ - 42}{17 }  \\ x =  - 8 +  \frac{42}{17}  \\ x =   \frac{ - 10}{17}

So, x = - 10/17 and y = - 42/17.

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3 years ago
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2 years ago
Hector has a part-time job at a garage. He gets a paycheck of $820 every for
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Answer:

<u>A. Hector pays $ 123 in taxes each paycheck.</u>

<u>B.  Hector should expect to receive $615 or 75% of his regular pay.</u>

<u>C. Hector will be paid $ 902 when he receives his next 4- week paycheck.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the questions correctly:

Paycheck Hector gets every four weeks = $ 820

2. Hector has to pay 15% of his income in taxes. How much money does he

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calculations.

Taxes = 15% of 820

Taxes = 0.15 * 820

Taxes = $ 123

Hector's paycheck: ←------------------------------820--------------------------------------→

Taxes:                       ←----123---→

3. Hector took a 1-week vacation, so his next paycheck will only be for 3

weeks of work. What percentage of his regular pay should he expect to

receive? How much is that?

We can answer this question using the Direct Rule of Three, this way:

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      4                   820

      3                     x

***********************************

4x = 820 * 3

4x = 2,460

x = 2,460/4

x = 615

615/820 = 0.75 = 75%

4. The garage owner is impressed with Hector's work and is giving him a

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Raise = 10% of 820

Raise = 0.1 * 820 = 82

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