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Ivenika [448]
3 years ago
5

A vendor prepares 100.00 hotdogs every day and sells at $20.00/piece. For each hot dog, he spends $12.00 in the raw material. Ad

ditionally he spends $1.00 for packing each hotdog and monthly $50.00, $20.00, $10.00 as food truck rent, electricity and other expenses respectively. Lost sale are taken as $1 per unhappy customer. Leftover hotdogs can be sold for $5.00/piece. On a particular day in June it rained heavily so the vendor was able to sell only 80.00 hot dogs. Determine the vendor’s profit for that day
Mathematics
1 answer:
astra-53 [7]3 years ago
6 0

Answer:

$397.34 (if he sold the 20 leftover hot dogs), $297.34 if he didn't.

Step-by-step explanation:

We are going to assume that a month has 30 days.

  • First, we are going to see how much money the vendor got from selling the 80 hot dogs. He sold 80 hot dogs at 20 dollars/piece = 1600 dollars.

  • We need to subtract the amount of money he spent in each hot dog (12 dollars in raw material plus one dollar for packing): 13 dollars x 100 hot dogs he prepared = 1300 dollars

  • He also spends a total of 80 dollars per month in truck rent, electricity and other expenses. If we divide this by the amount of days per month we have: 80/30 = 2.66

  • The problem doesn't tell us that there were unhappy customers that day so that amount is zero.

  • We are going to assume that the vendor sold the remaining 20 hot dogs at 5 dollars/piece. 20 x 5 = 100.

Thus, the profit for that day is:

1600 - 1300 - 2.66 + 100 = 397.34

<u>(</u><u>Note:</u><u> If the vendor did not sell the leftover hot dogs and he actually only sold 80 hot dogs, then the profit would be: 1600 - 1300 - 2.66 = 297.34)</u>

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(6 to the power of 3 times 3 to the power of 3) to the power of 2
frosja888 [35]

Answer:

True

Step-by-step explanation:

(6³ * 3³)² = 18⁶

Multiply inside the parenthesis.

(18³)² = 18⁶

When you put powers to powers, they multiply, eg:

(x³)⁴ = x³°⁴ = x¹²

18⁶ = 18⁶

True.

4 0
3 years ago
The price of two pairs and six apples is $14. The price of three pairs and nine apples is $21. Can you determine the unit prices
deff fn [24]

Answer:

  no

Step-by-step explanation:

The second purchase is exactly half-again larger than the first purchase, so sheds no light on the relative costs of the items. The per-item costs can be found when the ratio of items purchased is different from one buy to another.

___

We can only say that the cost of 1 pear and 3 apples is $7.

6 0
3 years ago
PLEASE LOOK AT PHOTO! WHOEVER ANSWERS CORRECTLY I WILL MARK BRAINIEST!!
inn [45]

Answer:

m < 1 = 18°

Step-by-step explanation:

If <ABD = 72°, and m < 2 is three times the measure of m < 1, then:

Let < ABC = m < 1 =  x

     < CBD = m < 2 = 3x

We can set up the following formula, since the sum of the measures of angles < 1 and < 2 is equal to <ABD (72°):

m < 1 + m < 2 = < ABD

x + 3x = 72°

Add like terms:

4x = 72°

Divide both sides by 4 to solve for x:

\frac{4x}{4} = \frac{72}{4}

x = 18

Since x = 18, and m < 1 = x , then m < 1 = 18°.

And since m < 2 = 3x, then m < 2 = 3(18°) = 54°.

Let's check to see whether we derived the correct answers by plugging in the values of m < 1 and m < 2 into the established formula:

m < 1 + m < 2 = < ABD

18° + 54° = 72°

72° = 72° (True statement).

Please mark my answers as the Brainliest if my explanations were helpful :)

7 0
3 years ago
(NO FILES OR LINKS OR RANDOM WORDS)
ehidna [41]

Answer:

Randomly selecting a six of diamonds - 1 / 52

Randomly selecting a 7, 8, 9 or 10 - 4 / 13

Step-by-step explanation:

There is only 1 six of diamonds in a standard deck of cards. There are 52 cards in a deck, thus the probability of pulling a six of diamonds is 1 in 52.

There are 4 of each card in a deck. so they are 4 7's, 4 8's. 4 9's and 4 10's. And there are a total of 52 cards in a deck. So the probability of pulling a 7,8,9 or 10 are 4 + 4 + 4 + 4 in 52

4 + 4 + 4 + 4 = 16

16 / 52 simplified is 4 / 13 Therefore the is a 4 in 13 chance of pulling a 7 8 9 or 10

The other ones are correct

3 0
3 years ago
Math help? 15 Points
Masja [62]
I think the best answer would be F.
When √10 is converted into a decimal it is 3.16, and F is the most close to that.
Hope this helps! 
3 0
3 years ago
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