Ask question

Ask question

All categories

3 years ago

14

There were 214 people at a concert. Main floor tickets cost $17 and balcony tickets cost $11 for a total of $2954. How may balco

ny tickets and how many main floor tickets were sold at the concert?

1 answer:

earnstyle [38]3 years ago

6 0

There is 100 $17 tickets no 114 $11 tickets

You might be interested in

A party supply store is selling balloons for $6 per dozen. What is the price per balloon? $

Tcecarenko [31]

Answer:

2 per balloon

Step-by-step explanation:

Dozen = 12

6 0

2 years ago

Read 2 more answers

Find the volume of the region between the planes x plus y plus 2 z equals 2 and 4 x plus 4 y plus z equals 8 in the first octant

Alex787 [66]

Find the intercepts for both planes.

Plane 1, <em>x</em> + <em>y</em> + 2<em>z</em> = 2:

$y=z=0\implies x=2\implies (2,0,0)$

$x=z=0\implies y=2\implies(0,2,0)$

$x=y=0\implies 2z=2\implies z=1\implies(0,0,1)$

Plane 2, 4<em>x</em> + 4<em>y</em> + <em>z</em> = 8:

$y=z=0\implies4x=8\implies x=2\implies(2,0,0)$

$x=z=0\implies4y=8\impliesy=2\implies(0,2,0)$

$x=y=0\implies z=8\implies(0,0,8)$

Both planes share the same <em>x</em>- and <em>y</em>-intercepts, but the second plane's <em>z</em>-intercept is higher, so Plane 2 acts as the roof of the bounded region.

Meanwhile, in the (<em>x</em>, <em>y</em>)-plane where <em>z</em> = 0, we see the bounded region projects down to the triangle in the first quadrant with legs <em>x</em> = 0, <em>y</em> = 0, and <em>x</em> + <em>y</em> = 2, or <em>y</em> = 2 - <em>x</em>.

So the volume of the region is

$\displaystyle\int_0^2\int_0^{2-x}\int_{\frac{2-x-y}2}^{8-4x-4y}\mathrm dz\,\mathrm dy\,\mathrm dx=\displaystyle\int_0^2\int_0^{2-x}\left(8-4x-4y-\frac{2-x-y}2\right)\,\mathrm dy\,\mathrm dx$

$=\displaystyle\int_0^2\int_0^{2-x}\left(7-\frac72(x+y)\right)\,\mathrm dy\,\mathrm dx=\int_0^2\left(7(2-x)-\frac72x(2-x)-\frac74(2-x)^2\right)\,\mathrm dx$

$=\displaystyle\int_0^2\left(7-7x+\frac74 x^2\right)\,\mathrm dx=\boxed{\frac{14}3}$

3 0

3 years ago

The charges for a delivery service are explained in the table what is the rate of change

alexandr1967 [171]

I see no table so i can’t awnser it plz post one with it thanks

4 0

3 years ago

What are the 6 multiples of 2/5

Iteru [2.4K]

Some examples of multiples of 2/5 are 4/10, 6/15, 8/20, 10/25, 12/30, and 14/35.

4 0

3 years ago

HELP ASAP! WILL MARK BRAINLIEST!!

malfutka [58]

Answer:

r = 6

Step-by-step explanation:

V(cyl) = π · r² · h

144π = π · r² · 4

144 = r² · 4

<u>144</u> = r²

4

r = $\sqrt{144}$ ÷ $\sqrt{4}$

r = 12/2

r = 6

5 0

2 years ago