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3 years ago

Solve for n: (n+5)/(-16)=(-1)

Mathematics

2 answers:

Marat540 [252]3 years ago

5 0

Answer:

n = 11

Step-by-step explanation:

$\frac{n + 5}{-16} = -1$

We want to solve for n.

Currently, it is in a fraction.

Let's get rid of the denominator by multiplying both sides by -16.

(n + 5) = (-1)(-16)

(n + 5) = 16

Isolate n further by subtracting 5 from both sides.

n = 16 - 5

n = 11

Let's check our answer by plugging n = 11 back into the original equation.

$\frac{n + 5}{-16} = -1$

Plug n = 11 in.

$\frac{11 + 5}{-16} = -1$

Add.

$\frac{16}{-16} = -1$

Simplify.

-1 = -1

Your answer is correct!

Hope this helps!

RideAnS [48]3 years ago

4 0

Answer:

Step-by-step explanation:

11+5=16

16/-16=-1

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Solve for m

MakcuM [25]

Answer:

m = 29/48

Step-by-step explanation:

Given that

x₂ = (y₂-y₁) +10 →(1

y₂ = y₁-x₁ → (2

y₁= 37

x₁ = 29

Now substitute the value of x₁ and y₁ into equation 2

y₂ = 37-29

y₂ = 8

Now substitute the value of y₂ and y₁ into equation 1

x₂ = (8-37) +10

x₂ = -19

As we know the slope (m) can be calculated as follows

m =(y₂ - y₁)/(x₂ - x₁)

m = (8- 37)/(-19 - 29)

m = (-29)/(-48)

m = 29/48

So our slope is 29/48

3 0

3 years ago

How do I simplify this 5a + 3b - 6a - b

BigorU [14]

Take the as together and take the bs together.

5a + 3b - 6a - b.
5a - 6a + 3b - b. Then simplify.
-a + 2b.

That's it.

3 0

3 years ago

A candle in the shape of a circular cone has a base of radius r and a height of h that is the same length as the radius. which e

ladessa [460]

Answer:

$\frac{r(1-\sqrt{2})}{-3}$

Step-by-step explanation:

Volume of cone = $\frac{1}{3} \pi r^{2} h$

Since we are given that a circular cone has a base of radius r and a height of h that is the same length as the radius

= $\frac{1}{3} \pi r^{2} \times r$

= $\frac{1}{3} \pi r^{3}$

Surface area of cone including 1 base = $\pi r^{2} +\pi\times r \times \sqrt{r^2+h^2}$

Since r = h

So, area = $\pi r^{2} +\pi\times r \times \sqrt{r^2+r^2}$

= $\pi r^{2} +\pi\times r \times \sqrt{2r^2}$

= $\pi r^{2} +\pi\times r^2 \times \sqrt{2}$

Ratio of volume of cone to its surface area including base :

$\frac{\frac{1}{3} \pi r^{3}}{\pi r^{2} +\pi\times r^2 \times \sqrt{2}}$

$\frac{\frac{1}{3}r}{1+\sqrt{2}}$

$\frac{r}{3(1+\sqrt{2})}$

Rationalizing

$\frac{r}{3(1+\sqrt{2})} \times \frac{1-\sqrt{2}}{1-\sqrt{2}}$

$\frac{r(1-\sqrt{2})}{-3}$

Hence the ratio the ratio of the volume of the candle to its surface area(including the base) is $\frac{r(1-\sqrt{2})}{-3}$

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pantera1 [17]

Answer:

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Sean walks ¾ of a mile in 15 minutes. At the same pace, how far can Sean walk in 1 hour and 20 minutes? Explain

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