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Dmitry_Shevchenko [17]

2 years ago

6

If the ratio of milk cartons to juice boxes is 13:x and there are 39 milk cartons

2 answers:

max2010maxim [7]2 years ago

8 0

The answer is 6 because 39/13=3 and 18/3=6

Galina-37 [17]2 years ago

5 0

Answer:

6

Step-by-step explanation:

Just write the amount of milk cartons and juice cartons as a fraction and simplify it

39/18 the biggest common divisor for this is 3 so we divide the fraction by 3

13/6 x = 6

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1. The formula for the volume of a cone is

Andre45 [30]

Answer:

$r=\sqrt{\frac{3V}{\pi\ h}}$

Step-by-step explanation:

The volume of cone is given by:

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

where $r$ is the radius of the base and $h$ is the height of the cone.

We need to solve for $r$

we have $V=\frac{1}{3}\ \pi\ r^2\ h$

Multiplying both sides by 3 to remove $\frac{1}{3}$

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

⇒ $3V=\pi\ r^2\ h$

dividing both sides by $\pi\ h$

⇒ $\frac{3V}{\pi\ h}=\frac{\pi r^2 h}{\pi\ h}$

⇒ $\frac{3V}{\pi\ h}=r^2$

Taking square root both sides:

⇒ $\sqrt{\frac{3V}{\pi\ h}}=\sqrt{r^2}$

⇒ $\sqrt{\frac{3V}{\pi\ h}}=r$

∴ $r=\sqrt{\frac{3V}{\pi\ h}}$

3 0

2 years ago

Read 2 more answers

Find the standard form of the equation of the ellipse with the given characteristics. Vertices: (4, 0), (4, 14); endpoints of th

saul85 [17]

Answer:

The standard form of the ellipse is $\frac{(x-4)^{2}}{9} + \frac{(y-7)^{2}}{49} = 1$ .

Step-by-step explanation:

The major axis of the ellipse is located in the y axis, whereas the minor axis is in the x axis. The center of the ellipse is the midpoint of the line segment between vertices, this is:

$(h, k) =\frac{1}{2}\cdot V_{1} (x,y) + \frac{1}{2}\cdot V_{2} (x,y)$ (1)

If we know that $V_{1} (x,y) = (4,0)$ and $V_{2}(x,y) = (4, 14)$ , then the coordinates of the center are, respectively:

$(h,k) = \frac{1}{2}\cdot (4, 0) + \frac{1}{2}\cdot (4,14)$

$(h,k) = (2,0) + (2, 7)$

$(h, k) = (4, 7)$

The length of each semiaxis is, respectively:

$a = \sqrt{(1 - 4)^{2}+(7-7)^{2}}$

$a = 3$

$b = \sqrt{(4-4)^{2}+(0-7)^{2}}$

$b = 7$

The standard equation of the ellipse is described by the following formula:

$\frac{(x-h)^{2}}{a^{2}}+ \frac{(y-k)^{2}}{b^{2}} = 1$

Where:

$h$ , $k$ - Coordinates of the center of the ellipse.

$a$ , $b$ - Length of the orthogonal semiaxes.

If we know that $h = 4$ , $k = 7$ , $a = 3$ and $b = 7$ , then the standard form of the ellipse is:

$\frac{(x-4)^{2}}{9} + \frac{(y-7)^{2}}{49} = 1$

4 0

2 years ago

Charles is doing renovations on his house. He has budgeted 25% of the cost for new

Rama09 [41]

Answer:

$14,400

<em>Brainliest, please!</em>

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Step-by-step explanation:

25% is furniture, and furniture costs $3600.

So, 3600 x 4 is the total cost, which equals 14400

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Nastasia [14]

Answer:

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Step-by-step explanation:

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Cloud [144]

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3 years ago