If Sean earns 8.50 per hour and made a total of 80.75 today,how many hours did he work?

Answers

Answer 1

Answer: 9 hours and 30 minutes

Answer 2

Answer: 107.46
try using a calculator. really helps

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What is the even number between 300 and 400 divisible by 5 and 9
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Kaynard's first step in solving this rational equation is to simplify it by multiplying both sides by a common denominator. Which is the simplest expression he can use to do this?

Answers

x^2 - 9 = (x + 3)(x -3)

3x - 9 = 3(x - 3)

and

Common denominator would be 6(x+3)(x - 3)

Answer: 6(x+3)(x - 3)

Plz i need help asap

Answers

1. x = 4

2. x = 3

3. x = 2 and x = -3

Step-by-step explanation:

solution 1

$√(3x+4)$ = 4

or, 3x+4 = 16 ( by squaring both sides)

or, 3x = 16 - 4

or, 3x = 12

or, x = 12/3

solution 2

(x+5)^(2/3) = 4

or, (x+5) = 4^(3/2) ( by the rule of index)

or, x+5 = 2^3

or, x + 5 = 8

or, x = 8 - 5 = 3

solution 3

$√(x+7)$ - x = 1

or, $√(x+7)$ = x+1

or, x + 7 = (x+1)^2 (squaring both sides)

or, x + 7 = $x^(2)$ + 2x +1

or, $x^(2)$ + x - 6 = 0

or, $x^(2)$ + 3x - 2x - 6 = 0 ( by middle term factor method)

or, (x+3) (x -2) = 0

or, x= -3 and x = 2

2x+4y=12 -2x+3y=26 elimination

Answers

2x + 4y = 12
-2x + 3y = 26

Add the two equations, and you get:

2x + (-2x) + 4y + 3y = 12 + 26

4y + 3y = 12 + 26

7y = 38

y = 38/7

Plug y = 38/7 and solve for x.

2x + 4(38/7) = 12

2x + 152/7 = 12

2x = 12 - 152/7

2x = 84/7 - 152/7

2x = (84 - 152)/7

2x = -68/7

x = -68/7 * 1/2

x = -34/7

x = -34/7
y = 38/7

x = -4 6/7
y = 5 3/7

The solution is (-4 6/7, 5 3/7) OR (-34/7, 38/7).

Both the answers are correct. It's just that in one answer, the fraction is in mixed form, and the other answer has it as an improper fraction.

True or false:Every quadrilateral is a square.
Every square is a quadrilateral.
Every rhombus with four right angles is a square.