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Yanka [14]
2 years ago
10

Help...................

Mathematics
1 answer:
qaws [65]2 years ago
7 0
I Dont know the answer
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A commuter airline makes lattes in the galley and sells them to passengers. A regular latte contains a shot of espresso, 1 cup o
Alik [6]

Answer:

To maximize profit, the amount of each type of coffees made are;

The number of regular latte made = 52 cups

The number of low-fat latte made = 48 cups

Step-by-step explanation:

The given parameters are;

The number of espresso in a regular latte = 1 shot

The number of cups of 2% milk in regular latte = 1 cup

The amount of whipped cream in a regular latte = 0.5 cup

The number of cups of skim milk in the low-fat latte = 1.25 cup

The number of espresso in a low-fat latte = 1 shot

The amount of whipped cream in a low-fat latte = 0 cup

The number of cups of espresso in the journey = 100 shots

The number of cups of skim milk in the journey = 60 cups

The number of cups of 2% milk in the journey = 60 cups

The amount of profit the airline makes on each regular latte = $1.58

The amount of profit the airline makes on each low-fat latte = $1.65

Let 'x' represent the number regular lattes made and let 'y' represent the number low-fat lattes made, we have;

x ≤ 30/0.5 = 60

x ≤ 60

y ≤ 60

y ≤ 60/1.25 = 48

∴ y ≤ 48

x + y ≤ 100

Therefore, the given that more profit is made from the sale of low-fat latte than for regular latte, the maximum number of low-fat latte should be made

Therefore, the number of low-fat latte made, y = 48

Therefore, the number of regular latte made, x ≤ 100 - 48 = 52

For maximum profit, the maximum number of low-fat latte, 'x', should be made

Therefore, x = 52

The ideal mix of regular and low-fat lattes to maximize profit is 52 cups of regular latte and 48 cups of low-fat latte

5 0
3 years ago
Express x^2+4x-7 in the form (x+a)^2-b where a and b are integers
lukranit [14]

Answer:

(x + 2)^2 - 11.

Step-by-step explanation:

f(x) = x^2 + 4x - 7

Now x^2 + 4x = (x + 2)^2 - 4 so we have:

f(x) = (x + 2)^2 - 4 - 7

f(x) = (x + 2)^2 - 11.

4 0
3 years ago
Which of the following describes the probability distribution below?
7nadin3 [17]

Answer:

Answer: A.) The mean is greater than the median, and the majority of the data points are to the left of the mean.

It is clear that most of the data (around 75%) is consist of value 1, which is the leftmost part of the data. Since it was more than 50% of the data, the median should be 1.

if 75% data is 1, it need 25% data with value at least 5 to make the means equal to 2. The means would be bigger than 1 but less than 2, so most(75% data is 1) of the data would be on the left of the mean.

8 0
2 years ago
Read 2 more answers
A board is 48 in long. It must be divided into 4 pieces of equal length, and each cut will cause a waste of 3/16 in. How long wi
NISA [10]

Answer:

12 pieces

Step-by-step explanation:

Total length of the board = 48 in

It must be divided into 4 pieces of equal length

This means, there will be 3 cut to have 4 pieces

Each cut will cause a waste of 3/16 in.

Total waste = 3 cut × 3/16 in

= (3*3)/16

= 9/16 in

Length of board remaining = Total length of the board - Total waste

= 48 - 9/16

= (768-9)/16

= 759/16 in

How long will each piece be after the cuts are made?

Length of each piece after the cut = Length of board remaining / 4

= 759/16 ÷ 4

= 759/16 × 1/4

= 759/64

= 11.859375

Approximately 12 pieces to the nearest whole number

7 0
2 years ago
5a+2a(5-b)= <br><br> Simplify the expression
Natali [406]
5a+2a(5−b)

Distribute:

=5a+(2a)(5)+(2a)(−b)

=5a+10a+−2ab

Combine Like Terms:

=5a+10a+−2ab

=(−2ab)+(5a+10a)

=−2ab+15a

6 0
3 years ago
Read 2 more answers
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