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3 years ago

It’s takes Kim 8 hours to travel a distance of 360 miles at this rate how many miles does Kim travel in 12 hours

Mathematics

1 answer:

olchik [2.2K]3 years ago

8 0

Answer:

540

Step-by-step explanation:

$\frac{360}{8} = \frac{x}{12} \\ \\ 45 = \frac{x}{12} \\ \\ 12(45 = \frac{x}{12} ) \\ \\ x = 540$

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What is the area of 8,2,5,4

jonny [76]

Multiplying all of the numbers together you'd get 320

4 0

3 years ago

3+x=x^2+3x Rewrite the equation by completing the square. What are the solutions to the equation?

Luda [366]

Answer:

hope this helps

Step-by-step explanation:

3+x=x²+3x

Simply the equations.

= x+3=x²+3x

Subtract x²+3x from both sides.

x+3−(x²+3x)=x2+3x−(x²+3x)

−x2−2x+3=0

Factor left side of equation.

(−x+1)(x+3)=0

−x+1=0 or x+3=0

Answer:

x=1 or x=−3

8 0

2 years ago

1000^m / 100^n can be written in the form of 10^z express z in terms of m and n

Julli [10]

Answer:

z = 3m - 2n

Step-by-step explanation:

$\frac{ {1000}^{m} }{ {100}^{n} } = {10}^{z} \\ \\ \frac{ {10}^{3m} }{ {10}^{2n} } = {10}^{z} \\ \\ {10}^{3m - 2n} = {10}^{z} \\ \\ 3m - 2n = z \\ \\ \huge \red{ \boxed{z = 3m - 2n}}$

5 0

3 years ago

Solve the equation:

PilotLPTM [1.2K]

Answer:

Step-by-step explanation:

$4\sqrt{3-\frac{1}{x} } -\sqrt{\frac{x}{3x-1} } =3\\4\sqrt{\frac{3x-1}{x} } -\sqrt{\frac{x}{3x-1} } =3\\\\put ~\sqrt{\frac{3x-1}{x}} =a\\4a-\frac{1}{a} =3\\4a^2-1-3a=0\\4a^2-4a+1a-1=0\\4a(a-1)+1(a-1)=0\\(a-1)(4a+1)=0\\a=1,-\frac{1}{4}\\$

$\sqrt{\frac{3x-1}{x} } =1\\3x-1=x\\3x-x=1\\2x=1\\x=\frac{1}{2}$

when a=-1/4

$\sqrt{\frac{3x-1}{x} } =-\frac{1}{4} \\$

$\frac{3x-1}{x} =\frac{1}{16} \\48x-16=x\\47x=16\\x=\frac{16}{47}$

$\frac{(1-2x)^2 \times (x^2-9)}{-x^2-x+6} \geq 0,\\both ~numerator ~and~denominator ~are~of~same~sign.\\\frac{(1-2x)^2(x^2-9)}{-x^2-3x+2x+6} \geq 0\\\frac{(1-2x)^2(x+3)(x-3)}{-x(x+3)+2(x+3)} \geq 0\\\frac{(1-2x)^2(x+3)(x-3)}{(x+3)(-x+2)} \geq 0\\(1-2x)^2\geq 0~(always)\\x\neq -3\\case.~1.\\both~numerator~and~denominator >0\\\frac{x-3}{-x+2} \geq 0\\x-3\geq 0\\x\geq 3\\-x+2> 0\\-x>-2\\x$