Pianni Beverages produce two ready-mixed cocktail drinks; the Zombie and the Skyjack. Each is a mixture of vodka, vermouth, and ginger. It takes 3 litres of vodka, 6 litres of vermouth and 1 litre of ginger to make 10 litres of Zombie. It takes 5 litres of vodka, 3 litres of vermouth and 2 litres of ginger to make 10 litres of Skyjack.
The company makes £150 profit per 10 litres of Zombie and £200 profit per 10 litres of Skyjack. The maximum available supplies per day are: 1500 litres of vodka, 1500 litres of vermouth and 400 litres of ginger. Pianni Beverages wants to maximize profits on a daily basis by producing the optimal number of Zombie and Skyjack.

Answer:

x=48

Step-by-step explanation:

They are vertical angles.

9514 1404 393

Answer:

  659.52 cm^2

Step-by-step explanation:

In order to find the surface area of this figure, we need to know the dimensions of the base. If we assume the base is square, then the distance from its center to the center of one edge is half the dimension of one side of the base.

That center-to-edge distance (x) can be found from the given dimensions using the Pythagorean theorem.

  x^2 + (15.4 cm)^2 = (17 cm)^2

  x^2 = (289 -237.16) cm^2 = 51.84 cm^2

  x = √51.84 cm = 7.2 cm

This means the edge length of the prism base is 2×7.2 cm = 14.4 cm.

__

The total surface area of the square prism is ...

  A = b^2 +2bs . . . where b is the edge length of the base, s is the slant height

  A = (14.4 cm)^2 + 2(14.4 cm)(17 cm) = 659.52 cm^2

The total surface area of this square pyramid is 659.52 cm^2.

Answer:

boys = 272

Step-by-step explanation:

b = boys

g = girls

1) write two equations with the given informations:

g + b = 650

g = b + 106

2) substitute the value of g in the first equation:

b + 106 + b = 650

3) solve the equation for b

2b = 544

b = 272

4) substitute the value in the second equation

g = 272 + 106

g = 378

girls = 378

boys = 272

Answer:

Sale Price = $29.05 (answer). This means the cost of the item to you is $29.05. You will pay $29.05 for a item with original price of $35 when discounted 17%. In this example, if you buy an item at $35 with 17% discount, you will pay 35 - 5.95 = 29.05 dollars

Answer:

i honestly dont know this but im guessing its about 12th grade work.

Answer:

8

Step-by-step explanation:

15+25+70+50x = 360 ( total exterior angles = 360° )

50x = 360-15-25-70

= 250

x= 5

n = 5 + 3

= 8

Answer: A- she can not mow 1 and 1/4 in an hour.

Step-by-step explanation:

set up a ratio

[tex]\frac{.5}{25} =\frac{x}{60}[/tex] (1/2 acre is 25 minutes, x acre in 60 minutes)

cross multiply to solve

.5(60)=25x

30=25x

1.2=x- she can mow 1.2 acres in 60 minutes, 1.2= [tex]1\frac{1}{5}[/tex]

Answer:

Step-by-step explanation:

ìť ìś the 2ńď òñè

Answer:

a. 5.53

b. 1.078

c. 0.126

d. 0.109

e. 0.549

f. 0.834

g.  0.451

Step-by-step explanation:

The percentage of the flights that arrive on time, P(x) = 79%

The number of flights in the sample, n = 7 flights

a. The mean of the probability distribution, μ = ∑x·P(x)

Therefore, we have; μₓ = n·p

μₓ = 7 × 79/100 = 5.53

b. The standard deviation, σₓ = √(n·p·(1 - p))

∴ σₓ = √(7 × 0.79 × (1 - 0.79)) ≈ 1.078

c. We have;

p = 0.79

q = 1 - p = 1 - 0.79 = 0.21

By binomial probability distribution formula, we have;

The probability of exactly four, P(Exactly 4) = ₇C₄·p⁴·q³

P(Exactly 4) = 35 × 0.79⁴×0.21³ ≈ 0.12625

d. The probability of less than 4 is given as follows;

P(Less than 4) = ₇C₀·p⁰·q⁷ + ₇C₁·p¹·q⁶ + ₇C₂·p²·q⁵ + ₇C₃·p³·q⁴

∴ P(Less than 4) = 1×0.79^0 * 0.21^7 + 7 * 0.79^1 × 0.21^6 + 21*0.79^2*0.29^5+ 85×0.79^3*0.21^4 ≈ 0.109

The probability of less than 4 is ≈ 0.109

e. The probability that more than 5 is given as follows;

P(More than 5) = ₇C₆·p⁶·q¹ + ₇C₇·p⁷·q⁰

7×0.79^6 * 0.21 + 1 * 0.79^7 × 0.21^0 ≈ 0.549

f. The probability that at least 5 of the flight were on time is given as follows;

P(At least 5) = ₇C₅·p⁵·q² + ₇C₆·p⁶·q¹ + ₇C₇·p⁷·q⁰

∴ P(At least 5) = 21×0.79^5 * 0.21^2 + 7×0.79^6 * 0.21 + 1 * 0.79^7 × 0.21^0 ≈ 0.834

g.  For the probability that no more than 5 of the flights were on time, e have;

P(At most 5) = 1 - P(More than 5)

∴ P(At most 5) = 1 - 0.549 ≈ 0.451.

Step-by-step explanation:

Circumference of Circle =

[tex]2\pi \: r[/tex]

given d = 19.4mi

r = 1/2d

= 1/2 x 19.4

= 9.7mi

Circumference of Circle =

[tex]2\pi(9.7) \\ = 19.4\pi \\ = 60.9mi \: (nearest \: tenth)[/tex]

Answer:

Step-by-step explanation:

lateral surface area=(sum of sides)×height

Total surface area =2×base area +lateral area

Answer:

the pic is not clear to me

Step-by-step explanation:

Answer:

UwU your welcome!

Step-by-step explanation:

Convert the mixed fractions to a decimal. 2 1/4 is 2.25 1 2/4 is 1.5 2. Add them up. 3. 3.75 as a decimal or 3 3/4 as a mixed fraction or 15/4 as a improper fraction.

Answer:

The answer is 1008 degrees

Step-by-step explanation:

The sum of 7 of the interior angles of a regular decagon is 1008°.

S = (n - 2) × 180°, where n is the number of sides of the regular polygon.

"It is a polygon having ten sides, ten interior angles and ten vertices."

For given example,

We need to find the sum of 7 of the interior angles of a regular decagon.

Number of sides of decagon (n) = 10

Using the formula of sum of interior angles,

⇒ S = (n - 2) × 180°

⇒ S = (10 - 2) × 180°

⇒ S = 1440°

This means the sum of all interior angles of a regular decagon is  1440°.

We know, there are 10 interior angles of regular decagon.

Let  'x' represents the measure of each interior angle of a regular decagon.

⇒ 10x = 1440°

⇒ x = 1440/10

⇒ x = 144°

This means, the interior angle of a regular decagon measures 144°

So, the sum of 7 of the interior angles would be,

7 × 144° = 1008°

Therefore, the sum of 7 of the interior angles of a regular decagon is 1008°.

Learn more about the interior angles of a regular decagon here:

https://brainly.com/question/12080566

#SPJ2

Answer:

the sides are 6, 20, and 22

Step-by-step explanation:

n + 3n + 2 + 2n + 10 = 48

combine like terms:

6n + 12 = 48

subtract 12 from each side of th equation:

6n = 36

divide both sides by 6:

n = 6

the sides are 6, 20, and 22

Answer:

no the solution would be x= 20.

Step-by-step explanation:

50-x=30

-x=30-50

-x=-20

x=20

Answer:

No, x=9 it's not the right solution.

Step-by-step explanation:

Because :if x=9 the equation would be like 50-x=41 and not 30.

But in these case it's like :50-x=30

                                          50-30=20 and not 9.

Answer:41

Step-by-step explanation:the week end is three days and he saw 5 blue car and 2 white car and 10 black car multiple 5 times 3 and = 15 now multiple 2 times 3 = 6 then add 15 and 6 and 10

Answer:

I think it is 10:17 the ratio

Answer:

[tex](2 * 7) + (2 * 10)[/tex]

Step-by-step explanation:

The missing details in the question are:

[tex]Length = 10[/tex]

[tex]Width = 7[/tex]

Required

The perimeter

This is calculated as:

[tex]Perimeter = 2 * (Length + Width)[/tex]

So, we have:

[tex]Perimeter = 2 * (10 + 7)[/tex]

Open bracket

[tex]Perimeter = 2 * 10 + 2 * 7[/tex]

Rewrite as:

[tex]Perimeter = (2 * 7) + (2 * 10)[/tex]

Answer:

c

Step-by-step explanation:

Answer:

s' = (3,2) t' = (2,4) u' = (1,1)

Step-by-step explanation:

can i have brainliest plz

Answer: b

Step-by-step explanation:

Answer:

Step-by-step explanation:

A ' = (-2, -3)

B ' = (0, -3)

C ' = (-1, 1)

=======================================================

Explanation:

To apply an x axis reflection, we simply change the sign of the y coordinate from positive to negative, or vice versa. The x coordinate stays as is.

Algebraically, the reflection rule used can be written as

Applying this rule to the three given points will mean....

Point A = (-2, 3) becomes A ' = (-2, -3)

Point B = (0, 3) becomes B ' = (0, -3)

Point C = (-1, -1) becomes C ' = (-1, 1)

The diagram is provided below.

Side note: Any points on the x axis will stay where they are. That isn't the case here, but its for any future problem where it may come up. This only applies to x axis reflections.

Answer:

they are 1,2

Step-by-step explanation:

1, 2,4,8,16, 32, 64

Answer: 1,2,4,8,16,32, 64

Answer:

I would say d.im pretty sure tho

Answer:

I think that it is A. 19

Step-by-step explanation:

I think it is A. because 19x2=38. 19-5=14, 14x2=28. 28+38=66.

P=66

L=19

W=14

Sorry if I'm wrong.

Answer:

your answer will be 416 square millimeters

Step-by-step explanation:

[tex]2x(\frac{1}{2}12*8)+(12+10+10)10\\\\=96+320\\\\=416[/tex]

hope it helps..

have a great day!! :)

Step-by-step explanation:

1/4 ÷ 2 = 1/8 in fraction form.

Answer:

Answer:

64 - 28 = 36

36 divided by 12 = 3

one ticket is 3 $

Answer:

1024

Step-by-step explanation:

1 x 4 = 4 x 4 = 16 x 4 = 64 x 4 = 256 x 4 = 1024

Feel free to mark it as brainliest :D

Answer:

1024

Step-by-step explanation:

you multiply by 4 to get the next number in the sequence.

64*4 = 256

256*4 = 1024

Answer:

180km

Step-by-step explanation:

1hour48mins =108mins

108÷18=6

6×30=180km