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liberstina [14]
2 years ago
13

How many solutions exist for the given equation? 0.75(x 40) = 0.35(x 20) 0.35(x 20) zero one two infinitely many

Mathematics
1 answer:
zimovet [89]2 years ago
7 0

Answer:

One solution

Step-by-step explanation:

0.75 (x + 40) = 0.35 (x + 20) + 0.35 (x + 20)

0.75x + 30 = 0.35x + 7 + 0.35x + 7

0.75x + 30 = 0.7x + 14

0.05x + 30 = 14

0.05x = -16

x = -320

Hope this helps!

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Chloe has enough sand to fill a sandbox with an area of 36 square units. She wants the outer edges of the sandbox to use as litt
sergiy2304 [10]

Answer:

The dimensions of the box is 6 × 6 units.

Step-by-step explanation:

Chloe fill a sand box whose area is 36 square units.

Let length be x units and width be y units.

Area of box = 36

xy=36\\y=\dfrac{36}{x}\ \ \ ...(i)

Perimeter of box, P=2(x+y)

P=2(x+\dfrac{36}{x})\ \ \ \ \ \ \ \ [\text{ From }(i)]

Differentiate w.r to x

\dfrac{dP}{dx}=2(1-\dfrac{36}{x^2})

For critical point, \dfrac{dP}{dx}=0

\therefore 2(1-\dfrac{36}{x^2})=0

\Rightarrow x=\pm6

x can't be negative.

\dfrac{d^2P}{dx^2}=\dfrac{144}{x^3}\\\dfrac{d^2P}{dx^2}|_{x=6}=\dfrac{144}{216}>0(\text{min})

P_{min}=24 units

Hence, Length = 6 units and width = 6 units

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3 years ago
Betty likes to skate at a skate park that is due south of her school and due west of her
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“The output is 5 less than the input.” Let x x be the input and let y y be the output.
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Y = x - 5 is the equation, i dont really know what question youre trying to ask.
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Read 2 more answers
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