MATHEMATICS HIGH SCHOOL

Which linear system has the solution (6, 6)A:4x - 3y = -1 -2x + y = -3
B: x + y = 12 3x - 2y = 6
C: 3x + y = 4 4x - 3y = 1
D: 4x + 3y = 0 2x - y = 0

Answers

Answer 1
Answer: B: x+y=12 3x-2y=6
6+6=12 (3×6)-(2×6)=6
Answer 2
Answer: By substituting x = 6 and y = 6 into the options we have that the correst answer is option B.

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You earn $420 per week. You pay social security taxes of 7.65%, federal taxes of 22%, and state taxes of 5.95%. What is your take home pay?

Answers

$420 x .0765 = $32.13
$420 x .22     = $92.40
$420 x .0595  = $24.99   

The total of those three deductions comes to $149.52

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X^4-30x^2+125=0 solve the equation by making an approproate substitution

Answers

x^4-30x^2+125=0\n \n \boxed{y=x^2}\n \n y^2-30y+125=0\n \n \Delta=(-30)^2-4.1.125=900-500=400\n \n y=(30 \pm20)/(2)\n \n y_1=5\n \n y_2=25\n

x^2=5\Rightarrow x=\pm\sqrt5\n \n x_2=25 \Rightarrow x=\pm5\n \n S=\{-\sqrt5,\sqrt5,-5,5\}
x^4-30x^2+125=0 \n \nt=x^2\n\nt^2-30t+125=0\n\na=1, \ \ b=-30, \ \ t=125 \n \n\Delta =b^2-4ac = (-30)^2 -4\cdot1\cdot 125 = 900-500=400

x^(2)=t \n \nx^(2)=5 \ \ or \ \ x^2 = 25\n\nx^(2)-5=0 \ \ or \ \ x^2 - 25=0\n\n (x-√(5)) (x+√(5))=0 \ \ \ or \ \ \(x-5)(x+5)=0 \n\nx=√(5)\ \ or \ \x= -√(5)\ \ or \ \ x=5 \ \ or \ \ x=-5 \n\nAnswer : \ x=\left \{ -5,\ -√(5),\ √(5), \ 5 \right \}

What is the binary number for 14​

Answers

Answer:

Step-by-step explanation:

should be 1110

Answer:

1110

Step-by-step explanation:

2(1/2q+1)=−3(2q−1)+8q+4 .

Answers

Answer:the answer is 7

Step-by-step explanation: 7d9wid9

Gunner rides his bike 10 miles in 2 1/2 hours how many miles per hour did Andre ride

Answers

Answer: 4 miles per hour

Step-by-step explanation:

If a gas tank can hold 30 gallons, how many gallons does it contain when it is three-fifths full?

Answers

The gas tank contains 18 gallons when the gas tank is three-fifths full.

We are given that,

A gastank can hold 30 gallons.

We need to find how many gallons it contains when it is three-fifthsfull.

What is a fraction?

A fraction has two parts :

- Numerator

- Denominator.

The numerator is the number of required parts from the total number of parts in the denominator.

We have,

"A gas tank can hold 30 gallons"

This means that when the gas tank is full it can hold 30 gallons.

We can write it as,

Full tank = 30 gallons ----------------(A)

Since we need to find three-fifths full, we need to multiply 3/5 in (A).

We have,

3/5 x full tank = 3/5 x 30 gallons

3/5 full tank = 3 x 6 gallons

3/5 fulltank = 18 gallons.

Thus the gas tank can hold 18 gallons when the gas tank is three-fifths full.

Learn more about fraction word problems here:

brainly.com/question/1301963

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3/5 of 30 is 90/5 
3/5 of 30  is 18 

so when it is 3/5 full then it has 18 gallons 
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