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AnnyKZ [126]
3 years ago
5

Five hundred tickets were sold for a play the tickets cost $7.50 for adults and $4.00 for children A total of $3,312.50 was rece

ived for all the tickets sold on that Sunday party how many adults and children attended the play
Mathematics
1 answer:
kotykmax [81]3 years ago
4 0
Hi there :-)
4c+7.5a=3312.50
Let
C=x
A=500-x
4x+7.5 (500-x)=3312.50
Solve for x
4x+3750-7.5x=3312.50
4x-7.5x=3312.5-3750
-3.5x=-437.5
X=437.5/3.5
X=125 of children

A=500-125=375 of adults

Hope it helps
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Consider the following equation: f(x)=x^2+4\4x^2-4x-8 name the vertical asymptote(s)
zhenek [66]

ANSWER

The vertical asymptotes are


\Rightarrow x=2\:or\:x=-1

<u>EXPLANATION</u>

We have

f(x)=\frac{x^2+4}{4x^2-4x-8}


For vertical asymptotes we set the denominator to zero and solve the quadratic equation;

4x^2-4x-8=0


\Rightarrow x^2-x-2=0

We split the middle term to obtain,

x^2+x-2x-2=0

\Rightarrow x(x+1)-2(x+1)=0


\Rightarrow (x-2)(x+1)=0


\Rightarrow x=2\:or\:x=-1


Therefore the vertical asymptotes are


x=2\:or\:x=-1





3 0
3 years ago
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These tables of value represent continuous functions. In which table do the values represent an exponential function?
oksano4ka [1.4K]

Answer:

B.

Step-by-step explanation:

A goes up by 1

C goes up by 8

D goes up by 5

But B increments by 2x (2 times)

5 0
3 years ago
Cheryl plans to bake cookies tomorrow and needs to purchase chocolate chips and pecans for no more than $25 total. Chocolate chi
boyakko [2]

The inequality that correctly represents this scenario is given as follows:

2x + 5y \leq 25

The graph is given at the end of the question.

<h3>What is a system of inequalities?</h3>

A system of inequalities is when two or more variables are related, and inequalities are built to find the values of each variable.

In this problem, the variables are given as follows:

  • Variable x: number of chocolate chips purchased.
  • Variable y: number of pecans sold.

Chocolate chips are $2 per pound and pecans are $5 per pound. She wants to spend at most $25, hence:

2x + 5y \leq 25

More can be learned about a system of inequalities at brainly.com/question/3656398

#SPJ1

6 0
2 years ago
What is the fully factored form of the expression 16x^2 - 49y^2
podryga [215]

Answer:

(4x + 7y)(4x - 7y)

Step-by-step explanation:

Rewrite 16 as 4^2

= 4^2x^2 - 49y^2

Rewrite 49 as 7^2

= 4^2x^2 - 7^2y^2

Apply the Exponent Rule Pt 1  ((a^m*b^m =(ab)^m))

= (4x)^2 - 7^2y^2

Apply the Exponent Rule Pt 2

= (4x)^2 - (7y)^2

Apply Difference of Squares Formula (( x^2-y^2 = (x + y)(x - y)

= (4x + 7y) (4x - 7y)

6 0
3 years ago
22<br> g(x) =<br> *+<br> +7<br> What is the average rate of change of g over the interval —2, 4):
kobusy [5.1K]

Answer:

Rate = 1

Step-by-step explanation:

Given

g(x) = x + 7

Interval: (-2,4)

Required

Determine the average rate of change

This is calculated using:

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So, we have:

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Rate = \frac{g(4) - g(-2)}{4+2}

Rate = \frac{g(4) - g(-2)}{6}

Calculate g(4) and g(-2)

g(4) = 4 + 7 = 11

g(-2) = -2 + 7 = 5

So:

Rate = \frac{11 - 5}{6}

Rate = \frac{6}{6}

Rate = 1

<em>Hence, the average rate of change is 1</em>

8 0
3 years ago
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