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natali 33 [55]
3 years ago
9

Lauren in making 15 liters of mimosas for a brunch banquet. Orange juice costs her $1.50 per liter and champagne costs her $12 p

er liter. How many liters of orange juice and how many liters of champagne should she use for the mimosas to cost Lauren $5 per liter?
Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
4 0

Answer:

  • 10 liters of orange juice
  • 5 liters of champagne

Step-by-step explanation:

Let c represent the number of liters of champagne Lauren uses. Then (15-c) will be the number of liters of orange juice. The total cost of the mix will be ...

  12c +1.50(15-c) = 5.00(15)

  10.5c = 52.50 . . . . . subtract 22.50, simplify

  52.50/10.5 = c = 5 . . . . divide by the coefficient of c

Then the amount of orange juice is ...

  15 -c = 15 -5 = 10 . . . . liters

Lauren should use 5 liters of champagne and 10 liters of orange juice.

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Select the correct answer. In which of the scenarios can you reverse the dependent and independent variables while keeping the i
SashulF [63]

Answer:

In Option A, we can see that the reverse may not be true as the increase in the risk for lung cancer may not necessarily mean an increase in cigarette smoked in a day. For example, high risk of lung cancer may be due to high exposure to asbestos dust too.

In Option B, again we can see that the reverse may not be true as an increase in the height of an infant does not necessarily mean that the age of the infant is increasing too. For example the infant may have a rapid gain in height even if the age is not increasing as rapidly.

In Option C, too, that an increase in the amount of pollution in a city does necessarily mean that the number of vehicles in the city has increased. For example, this increase in pollution may be due to the establishment of a high pollution causing industry in the city or in it's vicinity.

Likewise, in Option D, an increase in the density of water does not necessarily mean that the concentration of salt in the water has increased.

Only in Option E do we see a possible reverse dependence happening because an increase in the phone bill amount does usually mean an increase in the number of calls made by the cell phone.

So, in the given list of Options only in Option E can we reverse the dependent and independent variables while keeping the interpretation of the slope meaningful.

Step-by-step explanation:

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2 years ago
Does anyone know this or how to do it?
Pavlova-9 [17]
Copy and paste into search bar and it shoudl come up
7 0
3 years ago
In hopes of encouraging healthier snacks at school, Leah brought in a tray of carrot sticks
aleksandr82 [10.1K]

Answer:

40 %  of the snacks were carrot sticks.

Step-by-step explanation:

Total number of carrot sticks in lunch = 18

Total number of apple slices in lunch = 27

So, Total Snacks in the Lunch = Carrot Sticks + Apple Slices

                                                   = 18 +  27 = 45

Now, \textrm{Percentage of Carrot Sticks}  = \frac{\textrm{The number of Carrot sticks in lunch}}{\textrm{Total snacks in the lunch}}  \times 100

= \frac{18}{45}  \times100 = 40

⇒Percentage of Carrot Sticks = 40%

Hence, 40 %  of the snacks were carrot sticks.

6 0
3 years ago
Karen reads 20 pages of her book in half hour if she reads about 3 hours of tha
creativ13 [48]

Answer:

120 pages

Step-by-step explanation:

1/2 h ↔ 20 pages

1 h ↔ 40 pages

3 h ↔ 120 pages


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3 years ago
A teacher wants to award prizes for 1st, 2nd, 3rd, 4th and 5th in the class of
antoniya [11.8K]

Answer:

2,052,086,400.

Step-by-step explanation:

Permutation

Pr = n! / (n-r)!

30P5 = 30! / (30-5)

30P5 = 30x29x28x27x26x25! / 25!

(Just cancel the 25! on the numerator and denominator for easier solving.)

30P5 = 30x29x28x27x26

30P5 = 17,100,720.It is not the final answer because we can still arrange the 5 winners.

5! = 5×4×3×2×1 = 12017,100,720 × 120 = 2,052,086,400

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3 years ago
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