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Nutka1998 [239]

2 years ago

15

The sum of the quotient of a number and and 3 and 8 is 16 what is the number

1 answer:

zhuklara [117]2 years ago

5 0

After having done this on paper:

$\frac{n}{3} + 8 = 16$

We want to isolate the variable, and the first step is to subtract the 8.

$\frac{n}{3} = 8$

Since the <em>n</em> is being multiplied by 3, and that = 8, we can multiply both sides by 3.

<em>n</em> = 24

Let me know if this helped you understand better.

Also, you can check this by substituting in 24 for <em>n</em>.

You might be interested in

Consider the circle of radius 5 centered at (0, 0). Find an equation of the line tangent to the circle at the point (3, 4) in sl

Wittaler [7]

Answer:

$\displaystyle y= -\frac{3}{4} x + \frac{25}{4}$ .

Step-by-step explanation:

The equation of a circle of radius $5$ centered at $(0,0)$ is:

$x^{2} + y^{2} = 5^{2}$ .

$x^{2} + y^{2} = 25$ .

Differentiate implicitly with respect to $x$ to find the slope of tangents to this circle.

$\displaystyle \frac{d}{dx}[x^{2} + y^{2}] = \frac{d}{dx}[25]$

$\displaystyle \frac{d}{dx}(x^{2}) + \frac{d}{dx}(y^{2}) = 0$ .

Apply the power rule and the chain rule. Treat $y$ as a function of $x$ , $f(x)$ .

$\displaystyle \frac{d}{dx}(x^{2}) + \frac{d}{dx}(f(x))^{2} = 0$ .

$\displaystyle \frac{d}{dx}(2x) + \frac{d}{dx}(2f(x)\cdot f^{\prime}(x)) = 0$ .

That is:

$\displaystyle \frac{d}{dx}(2x) + \frac{d}{dx}\left(2y \cdot \frac{dy}{dx}\right) = 0$ .

Solve this equation for $\displaystyle \frac{dy}{dx}$ :

$\displaystyle \frac{dy}{dx} = -\frac{x}{y}$ .

The slope of the tangent to this circle at point $(3, 4)$ will thus equal

$\displaystyle \frac{dy}{dx} = -\frac{3}{4}$ .

Apply the slope-point of a line in a cartesian plane:

$y - y_0 = m(x - x_0)$ , where

$m$ is the gradient of this line, and
$(x_0, y_0)$ are the coordinates of a point on that line.

For the tangent line in this question:

$\displaystyle m = -\frac{3}{4}$ ,
$(x_0, y_0) = (3, 4)$ .

The equation of this tangent line will thus be:

$\displaystyle y - 4 = -\frac{3}{4} (x - 3)$ .

That simplifies to

$\displaystyle y= -\frac{3}{4} x + \frac{25}{4}$ .

3 0

2 years ago

you have at most $20.25 to spend at a store. Shirts cost $11.50 each, and pants cost $16 each. Let s be numbers of shirts and p

Readme [11.4K]

is this an algebra class? if so it just

11.50x + 16y = 20.25

4 0

2 years ago

Would someone plz tell me what these are

AVprozaik [17]

Answer:

The little lines mean the sides are the same. Like length.

8 0

2 years ago

Please help with this, I'm stuck.

photoshop1234 [79]

Answer:

18/5 = 3.6 (note that 3/2 = 1.5 )

the actual division is 3.387

Step-by-step explanation:

5 0

2 years ago

Point B is on line segment AC. If AB = x + 6, BC = x + 8 and AC = 10, then find the value of x.

kumpel [21]

Step-by-step explanation:

this simply means that the sum of both short segments must be the same as the length of the whole line.

so,

x + 6 + x + 8 = 10

2x + 14 = 10

x + 7 = 5

x = 5 - 7 = -2

7 0

1 year ago