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alexdok [17]
3 years ago
14

#6

Mathematics
1 answer:
serious [3.7K]3 years ago
3 0

Answer:

y = -1/5x + 3/10

Step-by-step explanation:

You want to organize the equation into slope-intercept form: y=mx+b

2x + 10y = 3

Subtract 2x from both sides.

10y = -2x + 3

Divide both sides by 10.

y = -2/10x + 3/10

Simplify.

y = -1/5x + 3/10

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GrogVix [38]

keeping in mind that radius is half the diameter, we know this cone has a diameter of 2 inches, so it has a radius of 1 inch, kinda small really for ice-cream, but anyhow.

\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=1\\ h=6 \end{cases}\implies V=\cfrac{\pi (1)^26}{3}\implies V=2\pi \implies \underset{\textit{rounded up}}{V\approx 6}

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Solve -2x + 6 = -20.
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Find the number if 1 2/3% of it is 4.75
Alecsey [184]
<h2>Answer:</h2>

The number is:

                      285

<h2>Step-by-step explanation:</h2>

It is given that:

1 2/3% of a number is 4.75.

Let the number be x.

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1\dfrac{2}{3}=\dfrac{1\times 3+2}{3}=\dfrac{5}{3}

This means that:

\dfrac{5}{3}\%\ of\ x=4.75

i.e.

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5 0
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Answer:

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Step-by-step explanation:

Given that

Shannon has cycled 9 kilometers this year

Let x be the number of trips that Shannon will make during the year

As she cycles 1km per trip, the total distance in trips will be: 1x

She has to cycle 50 kilometers in a year so the equation for this problem is:

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Solving this equation will give us the number of trips she has to make

9+x = 50\\x = 50-9\\x = 41

Hence,

Shannon has to make 41 trips to cycle a total of 50 kilometers.

4 0
3 years ago
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