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olya-2409 [2.1K]

3 years ago

8

At the city museum, child admission is $5.80 and adult admission is $9.60. On Friday, three times as many adult tickets as child

tickets were sold, for a total sales of $899.60. How many child tickets were sold that day?

1 answer:

noname [10]3 years ago

7 0

Its 74 and if its wrong im sorry but hi

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At a point on the ground 35 ft from a base of a tree, the distance to the top of the tree is 1 ft more than 3 times the height o

tamaranim1 [39]

I would say that the tree is 12 feet high.

And to find out the answer you could use the quadratic formula :)

7 0

3 years ago

Select the story problem that this division problem represent 1/2 2/5

Diano4ka-milaya [45]

The story that the fraction given represents is that A. A whiteboard is 2/5 Meyer long and has na area of 1/3 square meter. How wide is the whiteboard?

<h3>How to illustrate the fraction?</h3>

From the information given, it should be noted that the fraction given is 1/2 ÷ 2/5.

Therefore, this is represented by the story that a whiteboard is 2/5 Meyer long and has na area of 1/3 square meter. How wide is the whiteboard?

In conclusion, the correct option is A.

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6 0

2 years ago

Read 2 more answers

What is the difference of the rational expressions below? 4/x^3 - 2x-1/3x

Paul [167]

Answer:

C

Step-by-step explanation:

Given

$\frac{4}{x^3}$ - $\frac{2x-1}{3x}$

Multiplying the numerator/ denominator of the first fraction by 3 and the numerator/denominator of the second fraction by x² will ensure that the fractions have a common denominator.

= $\frac{3(4)}{3x^3}$ - $\frac{x^2(2x-1)}{3x^3}$

= $\frac{12}{3x^3}$ - $\frac{2x^3-x^2}{3x^3}$ ← combine terms on numerator

= $\frac{12-2x^3+x^2}{3x^3}$

= $\frac{-2x^3+x^2+12}{3x^3}$ → C

3 0

3 years ago

Is it true that (x^2–3x+2)/(x –1) = x – 2, for all values of x? Justify your answer.

Nimfa-mama [501]

Answer:

x²-3x+2=0

x²-2x-x+2=0

(x²-2x)(-x+2)=0

x(x-2)-1(x-2)=0

(x-2)(x-1)=0

x-2=0 or x-1=0

x=2 or x=1

6 0

3 years ago

The price p (in dollars) and the demand x for a particular steam iron are related by the equation x=1000-2p.

maxonik [38]

Answer:

Marginal revenue at max revenue = 0

Instantaneous rate of change of revenue at 400 steam irons is 100

Step-by-step explanation:

We have the price-demand equation as

$x = 1000-2p$

Express p in terms of x

Adding 2p on both sides and subtracting x from both sides yields

$2p = 1000-x$

Dividing by 2 on both sides gives us

$p = 500-\frac{x}{2}$

The total revenue from selling x steam irons is given by

$R(x) = px = (500-\frac{x}{2})x = 500x - \frac{x^2}{2}$ (1)

This revenue is maximized when the first differential is zero

First differential of $R(x)$ = $R'(x) = \frac{d}{dx} (500x - \frac{x^2}{2}) = 500 - \frac{2x}{2} = 500 - x$ (2)

Setting this equal to zero and solving for $x$ will give us the value of $x$ at which the revenue is maximum and therefore the marginal revenue

Setting $500-x = 0$

gives

x = 500

At this demand level marginal revenue is 0

ie the number of steam irons to be sold to maximize revenue

The revenue at this demand level is given by plugging in this value into equation (1)

$R_{max} = 500(500) - \frac{500^2}{2} = 500^2 - \frac{500^2}{2} = \frac{500^2}{2} = 125,000$

At x = 400, the instantaneous rate of change is given by plugging in this value into Equation (2)

$R'(400) = 500-400 = 100$

and the revenue at x = 400 is obtained by plugging in 400 for the value of x in Eq 1

$R(400) = (500)(400) - \frac{400^2}{2} = 200,000 - 80,000 = 120,000$

Hope that helps

8 0

2 years ago