Please answer quickly Thank You

Answer:

40 pints are in 5 gal

Step-by-step explanation:

Your bag-in-box holds 5 gallons of syrup.

There are 128 ounces in 1 gallon. So, there are 640 ounces in 5 gallons.

Your soda fountain system will mix water and syrup at a 5 to 1 ratio.

Divide cup size by 6 for the number of ounces of syrup used per cup.

     Example for 10 oz. cup: 10 ÷ 6 = approximately 1.7

     There are approximately 1.7 oz. of syrup used per each 10 oz. cup

Divide oz. of syrup used per cup by 640 total oz.

     Example: 640 ÷ 1.7 = approximately 376

This is the estimated number of servings per 5-gallon bag in box (*excluding ice)A 5-gallon Bag-in-Box syrup will yield approximately 30 gallons of soda.

Follow the handy chart below to determine how many servings you'll get out of a 5-gallon bag in box soda syrups based on the size of the cups you use in your establishment.

Cup Size Total Oz. Of Syrup Used Total Number Of Servings Per Each 5 Gallon Bag In Box**

7 oz. 1.1 582

9 oz. 1.5 426

10 oz. 1.7 376

12 oz. 2 320

16 oz. 2.7 237

20 oz. 3.3 194

24 oz. 4 160

32 oz. 5.3 120

Bag in-box soda connects directly to your soda fountain lines to dispense carbonated beverages. It can easily be swapped out with a fresh box to refresh your soda supply, or to add a new flavor. They work by using CO2 to push syrup out of the bag to mix with water, which is also mixed with CO2 to produce soda water. This mixture of carbonated water and syrup is then pushed through the dispenser into a cup, at which point it is ready for customers to enjoy. Bag in box systems portion out and mix ingredients, making it an easy system for employees to rely on.

How Often Should Soda Lines be Cleaned?

Keeping your soda machine clean is an essential step in serving delicious, uncontaminated soda. Some parts of your machine, such as nozzles and dispensing valves, should be cleaned daily, but cleaning other parts can be done less frequently. Syrup connectors should be disconnected and sanitized weekly, and syrup lines should be cleaned weekly or monthly.

To clean syrup lines, fill a sanitized bucket with a  warm cleaning solution, and remove the syrup lines from your BIB syrups. Place the opened line valve in your cleaning solution, and activate the dispenser to flush the lines with the cleaning solution. Repeat this process multiple times, then finish the process with a rinsing flush.

From the question

We are given the points

Where points A, B, C are collinear points

We are given that

Since the points are collinear then

by the ratio rule, we have

Where

a = 1, b = 4

Also

Hence we have

Simplifying this we get

This implies

Also we have

Therefore, x = 10, y = 12

Hence the solution is

Answer:

(x+4)^2  -25

Step-by-step explanation:

x²+8x-9 in the form  (x+k)² +h.

We need to complete the square.

x^2 +8x   -9

Take the coefficient of x.

8

Divide by 2.

8/2 =4

Square it.

4^2 = 16

Add this then subtract i.

x^2 +8x+16    -16   -9

The x^2 +8x+16 becomes  (x+4) ^2  and we can simplify the remaining terms.

(x+4)^2  -25

Answer:

the correct answer is not there. here it is:

^y = 0.960x - 89.910

Step-by-step explanation:

we have regression line equation as:

^y = a+bx

we have the following details available

x = 524.88

y = 413.975

Sx = 12.251

Sy = 12.300

r = 0.9562

we have to find values of a and b

b = rSy/Sx

= 0.9562(12.3)/12.251

= 11.76126/12.251

= 0.960

a = y - intercept

= 413.975-0.96(524.88)

= 413.975-503.8848

= - 89.9098

a = -89.910

putting these values into the equation, we have:

^y = -89.910 + 0.9600x

which is also

^y = 0.960x - 89.910

The graph which represents the polar curve r = -4 sin ( 3θ ) is plotted

Polar coordinates describe the position of a point P in the plane by its separation from the origin, r, and the angle formed between the positive x-axis and the line segment leading to P.

To graph the polar curve, we make use of the following representations:

r represents the y-axis

θ represents the x-axis

Polar coordinates can also be extended into three dimensions using the coordinates (ρ, φ, θ), where ρ is the distance from the pole, φ is the angle from the z-axis ( called the co-latitude or zenith and measured from 0 to 180° ) and θ is the angle from the x-axis ( as in the polar coordinates ).

Given data ,

Let the polar curve be represented as A

Now , the polar coordinates is given as

r = -4 sin ( 3θ )

And , To graph the polar curve, we make use of the following representations:

r represents the y-axis

θ represents the x-axis

So , on simplifying , we get

The graph which represents the polar curve r = -4 sin ( 3θ ) is plotted

Hence , the polar curve is r = -4 sin ( 3θ )

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Answer:

D

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

using the recursive rule \(a_{n}\) = 3\(a_{n-1}\) and a₁ = 10, then

a₁ = 10

a₂ = 3a₁ = 3 × 10 = 30

a₃ = 3a₂ = 3 × 30 = 90

the first 3 terms are 10 , 30 , 90

Answer:  C  y-1=7 (x+4)

Step-by-step explanation:

Point slope formula

y - y₁ =  m ( x - x₁ )        Where m= slope and (x₁ , y₁) is your point

Given:

point: (-4, 1); slope: 7

plug in to formula

y -  1 = 7 (x+4)

6 bottles are required for a 14 day supply.

One bottle contains 15 tablets and the dosage is two tablets thrice daily for 14 days, we need to find the quantity of tablets required. Let's calculate it. Quantity needed We know,

Total tablets required=Tablets required

per day x Days

To find the total tablets required, we first need to find the tablets required per day. Tablets required per day Given that,2 tablets are taken thrice daily,

Therefore the tablets required

per day= 2 x 3 = 6 tablets Per day, 6 tablets are required.

Total tablets required Now we can find the total tablets required by multiplying the tablets required per day by the number of days. Hence,

Total tablets required = Tablets required per day x Days= 6 tablets/day x 14 days= 84 tablets14 day supply has to be made with the given 15 tablets per bottle.

Hence, Quantity needed = Total tablets required/ Tablets per bottle= 84/15 = 5.6 or 6 bottles

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Answer:

53

Step-by-step explanation:

106 miles per hour would get him home in 1 hour but it takes 2 hours so you can divide 106 by 2 to 53 miles per hour.

Answer:

Step-by-step explanation:

Your first step is to figure out which variable you want to cancel out.

Luckily, all these problems have x or y already set up to eliminate.

You can find these variables because they are opposite signs of each other, such as -x and x

Add the y's together and the #'s on the other side together, then solve to find the 2nd variable. Once you find one, you can plug that answer into the easier of the two equations and solve for the other variable.

Answer:
-328

Step-by-step explanation:

Simply use BODMAS or BIDMAS; this is the order of your operations. It is an acronym that tells you what to do in what order

Brackets: there are no brackets, move on to indices/order

Indices/Order: for the first step, do 5^2, which is 25, and √49, which is 7. The equation is no 12-5*9(7)-25

Division/Multiplication: For this step, multiply 5, 9 and 7 to get 315. The equation is now 12-315-25

Addition/subtraction: For the final step, just solve 12-315-25 in the traditional left to right way, which is -328.

I have grouped addition and subtraction as well as division and multiplication together because they are done at the same time; if a question has either both addition and subtraction or division and multiplication, just solve these parts from left to right. Division is not superior to multiplication and, likewise, addition is not above subtraction.

Answer:

83.20

Step-by-step explanation:

If 0.40 + 0.12 + 0.16 = 0.68

then it would be 260x(1-0.68)=83.2

83.2 complete would be 83.20.

(a) List all the possible outcomes

A dice has 6 sides, ranging from numbers 1 to 6.

As such, the possible outcome for 1 dice is 1, 2, 3, 4, 5 and 6.

Since 2 dice are used, the possible outcome increases, ranging from 2 to 12.

Working:

1 + 1 = 2 (MIN)

6 + 6 = 12 (MAX)

Therefore, the possible outcomes is from 2 to 12.

(b) Find the probability of getting an even number as a score

Total number of score = 11

Total number of even score = 6

P (even number) = 6 / 11

I believe this should be the correct answer... seems logical to me. HAHA. Anyway, do let me know if I am correct or have any queries :)

Answer:

18 dozen

Step-by-step explanation:

2/3 = 12/x

(3*12) / 2 = 18

The rectangular coordinates of each point are (x, y) = (- √2, √2), (x, y) = (2√3, 2) and (x, y) = (- 1 / 3, - √3 / 3).

Polar coordinates are of the form (r, θ), where r and θ are the the distance with respect to the origin and the direction in standard position. The coordinates in rectangular form can be described in polar terms by the following formula:

(x, y) = (r · cos θ, r · sin θ)

Now we find the polar coordinates equivalent to each pair of rectangular coordinates:

Case 1

(x, y) = (2 · cos (3π / 4), 2 · sin (3π / 4))

(x, y) = (- √2, √2)

Case 2

(x, y) = (- 4 · cos (7π / 6), - 4 · sin (7π / 6))

(x, y) = (2√3, 2)

Case 3

(x, y) = ((2 / 3) · cos (- 2π / 3), (2 / 3) · sin (- 2π / 3))

(x, y) = (- 1 / 3, - √3 / 3)

The statement is incomplete. Complete form is shown below:

For questions 1 - 3, the polar coordinates of a point are given. Find the rectangular coordinates of each point: 1) (2, 3π / 4), 2) (- 4, 7π /6), 3) (2 /3, - 2π / 3).

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Given statement solution is :- The present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

To calculate the present value of an investment with compound interest, we can use the formula for the present value of an annuity:

PV = A *\((1 - (1 + r)^(-n)) / r\)

Where:

PV = Present value

A = Annual payment or cash flow

r = Interest rate per period

n = Number of periods

In this case, the annual payment (A) is R13,000, the interest rate (r) is 10% per year, and the investment is made for 8 years (n).

Using the formula and substituting the given values, we can calculate the present value:

PV = \(13000 * (1 - (1 + 0.10)^(-8)) / 0.10\)

Calculating this expression:

PV = \(13000 * (1 - 1.10^(-8)) / 0.10\)

= 13000 * (1 - 0.46318) / 0.10

= 13000 * 0.53682 / 0.10

= 6977.66 / 0.10

= 69776.6

Therefore, the present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

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The checkboxes are denoted by brackets ([]) for checked and 'x' for unchecked states, respectively.

The fertilizing techniques that would be most effective for each example are as follows:

1. Farm with numerous workers and sensitive crops:

a. UDP (Unchecked )

b. Precision management (Checked)

2. A gardener raising produce for a family:

a. UDP (Checked).

b. Precision management (Unchecked )

3. Company that delivers corn to 10 states:

a. UDP (Unchecked)

b. Precision management (Checked)

Please note that the checkboxes are denoted by brackets ([]) for checked and 'x' for unchecked states, respectively.

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Answer:

$127.50

Hope this helps:)

Step-by-step explanation:

please mark me as brainlest

Answer:

3x + (2 - x) = 10

3x + 2 - x = 10

2x + 2 = 10

2x = 10 - 2

2x = 8

x = 8/2

x = 4

y = 2 - x

y = 2 - 4

y = -2

The probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

To find the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts, we need to use the concept of the Central Limit Theorem.

In this case, we know that the mean voltage of a single battery is 15 volts and the standard deviation is 0.2 volts. When batteries are connected in series, their voltages add up.

The combined voltage of four batteries connected in series is the sum of their individual voltages. The mean of the combined voltage will be 4 times the mean of a single battery, which is 4 * 15 = 60 volts.

The standard deviation of the combined voltage will be the square root of the sum of the variances of the individual batteries. Since the batteries are connected in series, the variance of the combined voltage will be 4 times the variance of a single battery, which is 4 * (0.2)^2 = 0.16.

Now, we need to calculate the probability that the combined voltage of four batteries is 60.8 or more volts. We can use a standard normal distribution to calculate this probability.

First, we need to standardize the value of 60.8 using the formula:

Z = (X - μ) / σ

Where X is the value we want to standardize, μ is the mean, and σ is the standard deviation.

In this case, the standardized value is:

Z = (60.8 - 60) / sqrt(0.16)

Z = 0.8 / 0.4

Z = 2

Next, we can use a standard normal distribution table or calculator to find the probability associated with a Z-score of 2. The probability of obtaining a Z-score of 2 or more is approximately 0.0228.

Therefore, the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

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Answer:

4.8

...

....

....

....

....

.

.

....

Answer:

Step-by-step explanation:

2g=7h-3f

g=\(\frac{7h-3f}{2}\)

Answer:

g= \(g=\frac{7}{2}h- \frac{3}{2}f\), f∈R, h∈R

Step-by-step explanation:

3f+2g=7h

2g=7h-3f

g=\(\frac{7}{2}h - \frac{3}{2} f\)

To find the distance between points A and B, we can use trigonometry and the given information.

Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.

Using trigonometry, we can use the tangent function to find the value of "d".

tan(72°) = d / 94.4

To solve for "d", we can rearrange the equation:

d = tan(72°) * 94.4

Using a calculator, we can evaluate the expression:

d ≈ 4.345 * 94.4

d ≈ 408.932

Therefore, the distance between points A and B is approximately 408.932 meters.

Answer:

34.56%

Approximately 35%

Step-by-step explanation:

Total number of marbles present= 10 red+ 15 yellow+5 green+20 blue

Total= 50 marbles

Probability of picking a blue ball = 20/50

Probability of a blue = 0.4= p

Probability of no blue = 1-0.4 = 0.6= q

If five balls are selected, probability of

exactly 2 to be blue is

Probability= 5C2(0.4)²(0.6)³

probability= 5!/(2!3!)(0.4)²(0.6)³

probability= 10*0.16*0.216

Probability= 0.3456

Then to percentage

0.3456 to percentage= 0.3456*100

0.3456 to percentage= 34.56%

Approximately 35%

Answer:

C: 36%

Step-by-step explanation:

Correct on Edge

a) The angles outside the side PQ measure 65° and 25°

The angles outside the side QR measure 85° and 95°

The angles outside the side PR measure 55° and 35°

b) The arc PR, PQ and PR measure 120°

a)

Let us assume that the inscribed square be ABCD and equilateral triangle is PQR.

Let side PR of triangle intersects the quadrilateral at points M and N.

So, we get a triangle DMN outside the equilateral triangle.

Here, ∠DMN = 55°, ∠D = 90°

So, ∠MND = 180 - (90 + 55)

                 = 35°

Similarly,  side PQ of triangle PQR intersects the quadrilateral at points X and Y.

So, we get a triangle AXY outside the equilateral triangle.

From triangle PXM we get the measure of angle PXM which is 65 degrees.

As angle PXM and angle AXY are opposite angles, the measure of angle AXY = 65°

∠A = 90°

So, ∠AYX = 180° - (∠A + ∠AXY )

                 = 180° - (90° + 65°)

                 = 25°

Let the side QR of triangle PQR intersects the quadrilateral at points L and K.

so we get new quadrilateral LKBC

In this quadrilateral ∠B = 90°, ∠C = 90°

From triangle QYL, we get the measure of angle QLY = 95°

So, the measure of ∠KLB = 95° .......(∠QLY and ∠KLB opposite angles)

So, the remaining angle LKC of quadrilateral LKBC would be,

∠LKC = 360° - (∠B + ∠C + ∠KLB)

∠LKC = 360° - (90 °+ 90° + 95°)

∠LKC = 85°

b)

We know that he angle subtended by an arc at the center is double the angle subtended by it at any point on the remaining part of the circle.

so, the measure of arc PR = 120°

the measure of arc PQ = 120°

the measure of arc RQ = 120°

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Answer:

Yes, the matrices are inverses of each other.

Step-by-step explanation:

Kindly check attached picture for the organized question and answer

Answer:

0, 3?

Step-by-step explanation:

all of them are added 3 when the next number

The zero/origin point or coordinate for the data points given is (0 , 3)

Using the pair of points given for our Calculation:

Each (x, y) pair increases by a value of 2 ;

From (2, 5)

Then (4, 7)

The point where x = 0 would lie before the point (2,5)

Thus , we have :

Hence, the zero point is :

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Explanation:

To isolate x, we first add 3 to both sides. Then we'll divide both sides by 4

\(4x-3 < 9\\\\4x-3+3 < 9+3\\\\4x < 12\\\\\frac{4x}{4} < \frac{12}{4}\\\\x < 3\)

So x can be any number smaller than 3.

The inequality sign will not flip because we are not dividing both sides by a negative number.