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zaharov [31]
3 years ago
5

An artist sells original hand painted greeting cards. He makes $2.50 profit on a small card and $4.00 profit on a large card. He

generally sells 5 large cards for every 2 small cards. He wants to make a profit of $10000 from large and small cards this year. Find the quantity of each card the artist needs to sell to reach his goal?
Mathematics
1 answer:
Marysya12 [62]3 years ago
3 0
Since he sells 5 large cards for every 2 small, we can multiply the number of small cards he needs to sell by 2.5 to find how many large cards he needs to sell.

So let x=the number of small cards sold, and 2.5x=the number of large cards sold

The equation is:Total profit=x+(2.5x)

Since a small card is $2.5, a large card is $4, and the total profit will be $10,000 plug those in to make the equation:

10,000=2.5x+4(2.5x)

We can combine the x's to get 10,000=12.5x and then divide both sides by 12.5 to get x=800.

So he needs to sell 800 small cards.

Multiply that by that 2.5.

And he needs to sell 2000 large cards.

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Answer:

Domain: (-infinity, +infinity) since you can pick any x values.

Range: [0, +infinity) since it does not go below the x axis.

Step-by-step explanation:

The graph is a parabola given by y=x^2

lets pick a few x values:

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3 years ago
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maks197457 [2]

Answer:

4004

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So the number of ways to get 7, 8, 9, or 10 heads from 13 coin tosses is:

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2 years ago
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Aleonysh [2.5K]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Sample mean(x) = 23500

Sample standard deviation (sd) = 3900

Sample size (n) = 20

Population mean (m) = 20,000

Null hypothesis : m = 20000

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To obtain the z-score :

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(23500 - 20000) / (3900 / √20)

3500 / (3900 /4.4721359)

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Get the P value to know if to reject or accept the null:

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1 - P(z < 4.0134) = 1 - 1 =0

Since P value is < alpha, we reject the null.

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Exact Form:
√
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Decimal Form:
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