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MArishka [77]
3 years ago
15

An adult ticket to a museum costs $3 more than a children’s ticket. When 200 adult tickets and 100 children’s tickets are sold,

the total revenue is $2100. What is the cost of a children’s ticket?
Mathematics
1 answer:
MrRissso [65]3 years ago
4 0

Answer:

5$

Step-by-step explanation:

Lets call the childrens ticket x and the adult (x+3).

We then have the equation

200(x+3) + 100(x) = 2100

Divide all by 200

(x+3) + 1/2(x) = 10.5

Subtract 3

x + 1/2x = 7.5

Rewrite it

1.5x = 7.5

Divide by 1.5

x = 5

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Step-by-step explanation:

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Is​ f(x) continuous at x equals 4​? Why or why​ not? A. ​No, f(x) is not continuous at x equals 4 because ModifyingBelow lim Wit
soldier1979 [14.2K]

<u>Corrected Question</u>

Is the function given by:

f(x)=\left\{\begin{array}{ccc}\frac{1}{4}x+1 &x\leq 4\\4x-11&x>4\end{array}\right ​

continuous at x=4​? Why or why​ not? Choose the correct answer below.

Answer:

(D) ​Yes, f(x) is continuous at x = 4 because Lim_{x \to 4}f(x)=f(4)

Step-by-step explanation:

Given the function:

f(x)=\left\{\begin{array}{ccc}\frac{1}{4}x+1 &x\leq 4\\4x-11&x>4\end{array}\right

A function to be continuous  at some value c in its domain if the following condition holds:

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  • f(c)=Lim_{x \to c}$ f(x)

At x=4

  • f(4)=\dfrac{1}{4}*4+1=2
  • Lim_{x \to 4}f(x)=2

Therefore: Lim_{x \to 4}f(x)=f(4)=2

By the above, the function satisfies the condition for continuity.

The correct option is D.

3 0
3 years ago
Find the domain and range of the relation. Also determine whether the relation is a function.
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Answer:

The relation is a function!

Your Domain should be...

{-1, 1, 7, 9}

Your Range should be...

{-1, 8, 9}

WHY?

Your domain is always your x-coordinates, which are the first coordinates in a pair.

Your range is always your y-coordinates, which are the second coordinates in a pair.

When listing the points, it's important to remain a relation CANNOT be a function if the x's repeat, so luckily, they do not repeat.

Also, when listing points for your range, remember, if they repeat, you should only count one of the numbers, as you can see from the answer, there was two nines, but instead I put one.

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Answer:

I think so.

Step-by-step explanation:

With letters, no, and some shapes would be reversed, like a triangle with lengths that are all different from eachother.

4 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Cboxed%7B%5Csf%202x%2B31%3D5%7D" id="TexFormula1" title="\boxed{\sf 2x+31=5}" alt="\boxed{\s
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2x + 31 = 5

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2x = -26

x = -26/2

x = -13.

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꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂

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