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3 years ago

5

2 1/2= to another mixed number

1 answer:

horrorfan [7]3 years ago

8 0

I’m confused also but yes could be 2 2/4 but could also be 1 2/1

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Convert y + 3 = -3(x + 5) to standard form.

emmasim [6.3K]

Hi there!

$y + 3 = - 3(x + 5)$
First we need to work out the parenthesis, which can for instance be done using rainbow technique.

$y + 3 = - 3x - 15$
Now subtract 3 from both sides.

$y = - 3x - 18$
And finally add 3x to both sides.

$3x + y = - 18$
The 4th answer choice is correct.

6 0

3 years ago

What is the simplified form of the quantity of x plus 8, all over the quantity of 3x plus 7 + the quantity of x plus 7, all over

Temka [501]

$\frac{x+8}{3x+7} + \frac{x+7}{x+4} \\ = \frac{(x+8)(x+4)+(x+7)(3x+7)}{(3x+7)(x+4)} \\ = \frac{ x^{2} +12x+32+3 x^{2} +28x+49}{3 x^{2} +19x+28} \\ = \frac{4 x^{2} +40x+81}{3 x^{2} +19x+28}$

6 0

3 years ago

Read 2 more answers

Among all right circular cones with a slant height of 24, what are the dimensions (radius and height) that maximize the volum

aleksklad [387]

Answer:

5571.99

Step-by-step explanation:

We need to use the Pythagorean theorem to solve the problem.

The theorem indicates that,

$r^2+h^2=24^2 \\r^2+h^2=576\\r^2=576-h^2$

Once this is defined, we proceed to define the volume of a cone,

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

Substituting,

$v=\frac{1}{3} \pi (576-h^2)h\\v=\frac{1}{3} \pi (576h-h^3)$

We need to find the maximum height, so we proceed to calculate h, by means of its derivative and equalizing 0,

$\frac{dv}{dh} = \frac{1}{3} \pi (576-3h^2)$

$\frac{dv}{dh} = 0$ then $\rightarrow \frac{1}{3}\pi(576-3h^2)=0$

$h_1=-8\sqrt{3}\\h_2=8\sqrt{3}$

<em>We select the positiv value.</em>

We have then,

$r^2 = 576-(8\sqrt3)^2 = 384\\r=\sqrt{384}$

We can now calculate the maximum volume,

$V_{max}= \frac{1}{3}\pi r^2 h = \frac{1}{3}\pi (\sqrt{384})^2 (8\sqrt{3}) = 5571.99$

4 0

3 years ago

A fruit basket contains only apples and bananas. If there are 8 apples and 13 bananas, what is the ratio of bananas to fruit?

elena55 [62]

Your answer is 13:21

7 0

3 years ago

Can someone help please I need help

mina [271]

Answer:

C= 25n+100

Step-by-step explanation:

Let's see what's in the graph :

the image of 4 is 200 C(4)=200
C(2)= 150

let m be the slope of this function :

m= $\frac{200-150}{4-2}$ =25

The first value in the graph is 100 wich is c(0)=100

so the equation is : c=25n+100

7 0

3 years ago