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user100 [1]
2 years ago
11

There were 560 people at a play. The admission price was $2 for

Mathematics
1 answer:
Flauer [41]2 years ago
5 0

Answer:

• For this one we need to split this problem into two equations:

• a (adults) + c (children) = 560

• 2a + c = $860

• Then we substitute 560 - a for c in the second equation.

  • 2a + 560 - a = 860
  • 2a + 560 = 860
  • 2a = 530
  • 2a = 265

• Then we plug this into the first equation:

  • 265 + c = 560

  • c = 295

Step-by-step explanation:

<h2>I hope this helps you !! </h2>
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I need help proving this ASAP
Ket [755]

Answer:

See explanation

Step-by-step explanation:

We want to show that:

\tan(x +  \frac{3\pi}{2} )  =  -   \cot \: x

One way is to use the basic double angle formula:

\frac{ \sin(x +  \frac{3\pi}{2} ) }{\cos(x +  \frac{3\pi}{2} )}  =  \frac{ \sin(x)  \cos( \frac{3\pi}{2} )  +   \cos(x)  \sin( \frac{3\pi}{2}) }{\cos(x)  \cos( \frac{3\pi}{2} )   -    \sin(x)  \sin( \frac{3\pi}{2}) }

\frac{ \sin(x +  \frac{3\pi}{2} ) }{\cos(x +  \frac{3\pi}{2} )}  =  \frac{ \sin(x) ( 0)  +   \cos(x) (  - 1) }{\cos(x) (0)   -    \sin(x) (  - 1) }

We simplify further to get:

\frac{ \sin(x +  \frac{3\pi}{2} ) }{\cos(x +  \frac{3\pi}{2} )}  =  \frac{ 0  -   \cos(x) }{0 +    \sin(x) }

We simplify again to get;

\frac{ \sin(x +  \frac{3\pi}{2} ) }{\cos(x +  \frac{3\pi}{2} )}  =  \frac{- \cos(x) }{ \sin(x) }

This finally gives:

\frac{ \sin(x +  \frac{3\pi}{2} ) }{\cos(x +  \frac{3\pi}{2} )}  =  -  \cot(x)

6 0
3 years ago
Simplify -4(-8x-8) in distributive property
frosja888 [35]

Answer:

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Step-by-step explanation:

In the distributive property, you have to multiply the thing outside the parenthesis to each term in the parenthesis. -4*-8x=32x and -4*-8=32, so the answer would be 32x+32

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3 years ago
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sattari [20]

Answer:

"C"

Step-by-step explanation:

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3 years ago
A gumball machine contains 2323 green gumballs, 5252 red gumballs, 3434 blue gumballs, 6161 yellow gumballs, and 3030 pink gumba
OleMash [197]
If you add all the gumballs together you get a total of 20200 gumballs now you just divide 5252 by the total number of 20200 to get the percent of 26% giving us the answer to what the percent of red there is in this container

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Novosadov [1.4K]

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Step-by-step explanation:

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