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3 years ago

What is the number between 3400 and 4400

2 answers:

7 0

First find how many numbers are between the two by subtracting
4400 - 3400 = 1000
now to find half way between the two divide 1000 by 2
1000/2 = 500
so the number between the two is 500 +3400 and 4400-500
which is 3900

Shtirlitz [24]3 years ago

3 0

To find the midway, we shall first know the difference between the two given.

4400 - 3400 = 1000

1000 is the difference, we shall divide 1000 by 2 to find its half in order to know the midway.

$\frac{1000}{2}$ = 500

500 is the half of 1000

now either add 500 to 3400 or subtract 500 from 4400, it will give us the same exact answer anyways.

3400 + 500 = 3900
4400 - 500 = 3900

so, 3900 is the number between 3400 and 4400

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Suppose that x and y vary inversely, and x = 12 when y = 8 . Write the function that models the inverse variation.

Alja [10]

Answer:

$y=\frac{96}{x}$

Step-by-step explanation:

So when x and y, vary inversely, it means that the product of x and y will remain constant such that: $xy=c$ . This means that the function can be defined as $y=\frac{c}{x}$ by dividing both sides by x. In this case x=12, and y=8, this means the constant is equal to 12 * 8 which is 96. So we have the equation: $xy = 96$ , which can be defined as $y=\frac{96}{x}$

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1 year ago

If <img src="https://tex.z-dn.net/?f=%20300cm%5E%7B2%7D%20" id="TexFormula1" title=" 300cm^{2} " alt=" 300cm^{2} " align="absmid

Artist 52 [7]

Check the picture below. Recall, is an open-top box, so, the top is not part of the surface area, of the 300 cm². Also, recall, the base is a square, thus, length = width = x.

$\bf \textit{volume of a rectangular prism}\\\\
V=lwh\quad 
\begin{cases}
l = length\\
w=width\\
h=height\\
-----\\
w=l=x
\end{cases}\implies V=xxh\implies \boxed{V=x^2h}\\\\
-------------------------------\\\\
\textit{surface area}\\\\
S=4xh+x^2\implies 300=4xh+x^2\implies \cfrac{300-x^2}{4x}=h
\\\\\\
\boxed{\cfrac{75}{x}-\cfrac{x}{4}=h}\\\\
-------------------------------\\\\
V=x^2\left( \cfrac{75}{x}-\cfrac{x}{4} \right)\implies V(x)=75x-\cfrac{1}{4}x^3$

so.. that'd be the V(x) for such box, now, where is the maximum point at?

$\bf V(x)=75x-\cfrac{1}{4}x^3\implies \cfrac{dV}{dx}=75-\cfrac{3}{4}x^2\implies 0=75-\cfrac{3}{4}x^2
\\\\\\
\cfrac{3}{4}x^2=75\implies 3x^2=300\implies x^2=\cfrac{300}{3}\implies x^2=100
\\\\\\
x=\pm10\impliedby \textit{is a length unit, so we can dismiss -10}\qquad \boxed{x=10}$

now, let's check if it's a maximum point at 10, by doing a first-derivative test on it. Check the second picture below.

so, the volume will then be at $\bf V(10)=75(10)-\cfrac{1}{4}(10)^3\implies V(10)=500 \ cm^3$

6 0

3 years ago

Describe the translation from the red figure to the blue figure

borishaifa [10]

Answer:

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5 0

3 years ago

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In a survey 27% of people chose salads over meat. In all 81 people chose salads. how many people are in the survey?

Lynna [10]

.27(x) = 81

x = 81/.27

x=300 people

7 0

3 years ago

Please help!! <br><br> (Could you please show how you get the answer!)

Anna [14]

Step-by-step explanation:

when a line intersects with 2 (or more) parallel lines. then, of course, the intersection angle is the same with every of the intersected lines. otherwise they would not be parallel.

so,

7x - 10 = 60

7x = 70

x = 10

6 0

1 year ago