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2 years ago

5

For a birthday party, a skating rink charges a $20 fee and $5 per person. The equation y=5x + 20 represents the total amount cha

rged for a birthday party for x number of guests. How much would it cost to have a birthday party with 9 guests?

1 answer:

EastWind [94]2 years ago

8 0

Answer:

Y= 65

Step-by-step explanation:

Y= 5(9)+20

Y=45+20

Y=65

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Solve the following equations.<br> √3 ⋅ 3^3x = 9

GREYUIT [131]

Answer:

The solution is $x = 0.5$

Step-by-step explanation:

We need to write everything as a power of 3.

We know that:

$\sqrt{a} = a^{0.5}$

So

$\sqrt{3} = 3^{0.5}$

And

$9 = 3^{2}$

This following property is also important:

$\frac{a^{b}}{a^{c}} = a^{b-c}$

To solve, the first step is putting everything with the variable x on one side and everything without the variable x on the other side

$\sqrt{3}.3^{3x} = 9$

$3^{0.5}.3^{3x} = 3^{2}$

$3^{3x} = \frac{3^{2}}{3^{0.5}}$

$3^{3x} = 3^{2-0.5}$

$3^{3x} = 3^{1.5}$

This means that:

$3x = 1.5$

$x = \frac{1.5}{3}$

$x = 0.5$

5 0

3 years ago

Can someone please help me with this problem!

Anna71 [15]

Answer:

11 yards

Step-by-step explanation:

The volume of a cone formula is:

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

Where V is the volume,

r is the radius (half of diameter)

h is the height

Given,

h = 15

V = 475.17

We find the radius (r) first by substituting given values:

$V=\frac{1}{3}\pi r^2 h\\475.17=\frac{1}{3}\pi r^2 (15)\\475.17=5\pi r^2\\r^2=30.25\\r=5.5$

The radius (r) is 5.5 yards

We need the diameter, which is DOUBLE THE RADIUS, so diameter would be:

Diameter = 5.5 * 2 = 11 yards

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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