Pedro buys lunch at school every day. He always gets pizza when it is

available. The cafeteria has pizza about 80% of the time.

Pedro runs a simulation to model this using a random number generator. He

assigns these digits to the possible outcomes for each day of the week:

• Let 0 and 1 = no pizza available

• Let 2, 3, 4, 5, 6, 7, 8, and 9 = pizza available

The table shows the results of the simulation.

95032 47150 71709 38889 94007

35013 57890 72924 19365 47879

What is the estimated probability that Pedro will eat pizza for lunch every way

next week?

Answers

Answer 1

The estimated probability that Pedro will eat pizza for lunch every way next week is 1/2

The term called probability in math is known as branch of mathematics that measures the uncertainty of the occurrence of an event using numbers

Here we know that the cafeteria has pizza about 80% of the time.

And here we have also know that Pedro runs a simulation to model this using a random number generator.

The result of the table shows the results of the simulation.

Here we need to estimate the probability that Pedro will eat pizza for lunch every way next week and it can be calculated as,

Here we have know that in each box, here there are 5 digits to represent the 5 days in a week.

And here there’s 10 boxes to represents 10 weeks.

Then in each box there’s a chance out of 5 for Pedro to get pizza.

Then the probability is calculated as,

=> 5/10

=> 1/2

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Related Questions

What is the value of 1/2 ÷ 1/3? Pls someoneeeeeeee answerrr

Answers

Answer: 1 1/2

Step-by-step explanation:

You have to do the keep change flip method where you keep the first fraction the same change the sign to a multiplication sign and flip the other fraction, it would then look like this: 1/2 x 3. after just multiply across and you get 1.5

interpret the quote never confuse the size of your paycheck with the size of your talent

Answers

Note that the quote given above simply means that an employee or worker should never equate how much they earn to how much they are actually worth. This can take on different meanings depending on whether you want to assign a positive connotation to it or a negative one.

What is a quote in Literature?

A quote is a verbatim reproduction of someone else's words that is generally surrounded by quotation marks and attributed to the original author or speaker.

Quoting implies paraphrasing someone else's remarks and citing the source. You must ensure the following when quoting a source:

The quoted content is surrounded by quotation marks or shown as a block quote.The original author is properly credited.The wording is exactly the same as the original.

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A walker notes that a monument is due North and 7.5 Km from him. He then walks on a bearing of 041. Calculate how far he is from the monument at this point to 2 decimal places.

Answers

In a case whereby  walker notes that a monument is due North and 7.5 Km from him. He then walks on a bearing of 0.41 the distance from the monument at this point is 5.63km

How can the the distance be calculated?

The concept that will be use is bearing. A bearing is the angle, measured in degrees clockwise from north, in mathematics. In most cases, bearings are specified as three-figure bearings. For instance, the standard notation for 30° clockwise from north is 030°.

From the diagram we can see that the interpretation gave us a triangle and from trigonometry,

Cos θ= adjacent / hypothenus

Then  Cos 41 = XY/XM

Cos 41 = XY/7.5

0.75 = XY/7.5

0.75 *7.5 =5.63km

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grace tiene 240 en el banco ella quiere compre tantos videojuegos de 15 como sea posible ¿Cuantos videojuego podria comprar si ¿Queria mantener al menos 120 en el banco? Ayudenme porfa

Answers

Grace can buy 8 video games of price $15 each if she wants to save $120 from $240.

Grace puede comprar 8 videojuegos si quiere ahorrar $120 de $240

What does pricing mean?

Pricing is the procedure of determining the value that a manufacturer will receive in the exchange of goods and services. To make the cost of the producer's products suitable for both the manufacturer and the customer, a pricing method is used. Pricing is determined by the firm's average prices as well as the consumer's estimation of an item's value in relation to that of similar goods from rival companies.

The remainder must be $12, so

(El resto debe ser $12, entonces)

240 - 120

= $120

Number of video games she could buy with $120

(Número de videojuegos que podría comprar con $120)

⇒ 120/15

= 8

Therefore, Grace can buy 8 video games if she wants to save $120 from $240.

Por lo tanto, Grace puede comprar 8 videojuegos si quiere ahorrar $120 de $240

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Translated question:

Grace has $240 in the bank. She wants to buy as many $15 video games as possible. How many video games could she buy if she wanted to keep at least $120 in the bank? help me please

explain briefly how the statistic can be used to make inferences about the parameter to test the claim

Answers

In statistics, we use samples to make inferences about population

That is the great advantage of the whole role of distribution. Once you know a particular situation or experiment, that you can associate to one specific distribution and compute parameters, you can obtain from a relative smaller quantity of data and  with good approximation, inferences about the whole population.

Statistical inference is the method of using data analysis to infer characteristics of a probability distribution.

Inferential statistics is the branch of statistics that uses sample statistics to estimate a population parameter or test a hypothesis about such a parameter.

statistics

Statistics is the science concerned with developing and studying methods for collecting, analyzing, interpreting and presenting empirical data.

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(6n+ 3)(6n- 4) find each product

Answers

The product of the two expressions is equal to 36n²-6n-12

What Is Distributive Property?

According to this property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

Given here: The expression (6n+ 3)(6n- 4)

Using the distributive property of multiplication we get

(6n+ 3)(6n- 4)

6n(6n-4)+3(6n-4)

Now arranging the like terms and again applying the distributive property we get

36n²-24n+18n-12

36n²-6n-12

Hence, The product of the two expressions is equal to 36n²-6n-12

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Prompt: We recently completed a unit in math about transformations.

Compare and contrast the three types of transformations: translations, reflections, and rotations.

Include the algebraic rules, whether each transformation preserves congruence and any examples of

real-world application.

Answers

The translations, reflections, and rotations are types of transformations that change an original object to form a new image, each with its own specific rule and properties. They are used in a variety of real-world applications to change the position or orientation of objects.

There are 3 types of Transformations :

(i) Translation: A translation involves moving an object from one place to another without changing its size or orientation.  

The algebraic rule for a translation is to add the same constant to each coordinate of each point

The Translations preserve congruence, meaning that corresponding parts of congruent figures will still be congruent after a translation.

An example of a real-world application of translation is moving a store to a new location.

(ii) Reflection: A reflection involves flipping an object over a line or point, creating a mirror image.

The algebraic rule for a reflection is to negate the value of one of the coordinates.

Reflections preserve orientation, meaning that the orientation of the reflected image is opposite that of the original object.

An example of a real-world application of reflection is looking at your reflection in a mirror.

(iii) Rotation: A rotation involves turning an object about a fixed point, called the center of rotation, through a certain angle.

The algebraic rule for a rotation is to multiply each coordinate by a rotation matrix.

Rotations preserve distance and angle measures, meaning that the lengths of corresponding parts and the angles between them are equal in the original and rotated images.

An example of a real-world application of rotation is turning a steering wheel to change the direction of a car.

The given question is incomplete , the complete question is

Compare and contrast the three types of transformations: translations, reflections, and rotations.

Include the algebraic rules, whether each transformation preserves congruence and any examples of real-world application.

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4^{x} = 2^{x-3}[/tex]

Answers

Answer:

X 3y 2

Step-by-step explanation:

Drag each equation to show if it could be a correct first step to solving the equation 2(x+7)=36

Answers

Answer: x = 11

Step-by-step explanation:

2(x+7) = 36

x + 7 = 18 <-- dividing both sides by two

x = 11

There are multiple different paths you can take in order to get this answer, all equally simple. You could open up the bracket, move to one side, and then divide, however if you were to have the answer in the most efficient and least amount of steps I would suggest doing this.

What are two additional questions that would be meaningful to drill down into with this same dataset, given what you've seen so far?

Answers

The  two additional questions that would be meaningful to drill down into with this same dataset is that What type of variation occurs within my variables? and What type of covariation occurs between my variables?.

The term data set is defined as a collection of related sets of information that is composed of separate elements but can be manipulated as a unit by a computer.

Here we need to find the two additional questions that would be meaningful to drill down into with this same dataset,

As per the definition we have know that the question that need to be asked over the data set are listed as follows:

They are type of variation occurs within my variables and the type of covariation occurs between my variables.

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a 16 pound bag of kitty kibbles is . an -pound bag of feline flavor is . which statement about the unit prices is true?

Answers

If a 16 pound bag of Kitty Kibbles is $20.80 and  8-pound bag of Feline Flavor is $11.20  then the true statement about the unit price is (D) Kitty Kibbles has a lower unit price of $1.30/pound .

the cost of the 16 pound bag of Kitty Kibbles is = $20.80  ;

So , the cost of 1 pound bag of Kitty Kibbles is = $20.80/16

= $1.3  ;

the cost of 8 pound bag of Feline Flavor is = $11.20  ;

So , cost of 1 pound bag of Feline Flavor is = 11.20/8 ;

= $1.4  ;

on comparing both the unit prices , we get that the per unit cost of Kitty Kibbles is lower and the price is $1.3  ;

Therefore , the true statement is (D) Kitty Kibbles has a lower unit price of $1.30/pound .

The given question is incomplete , the complete question is

A 16-pound bag of Kitty Kibbles is $20.80. An 8-pound bag of Feline Flavor is $11.20. Which statement about the unit prices is true ?

A. Feline Flavor has a lower unit price of $1.40/pound.

B. Feline Flavor has a lower unit price of $1.30/pound.

C. Kitty Kibbles has a lower unit price of $1.40/pound.

D. Kitty Kibbles has a lower unit price of $1.30/pound.

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what is the remainder when 5x-3 is divided by x-4

Answers

Answer:

The answer is 4

answer mine

Pre-Quiz th Percent - Item 35684 Guided Learning Practice A baseball team played 55 games this year. They won 33 games and lost 22 games. What percent of games did they lose? Po​

Answers

The percentage of games they lose is 40%.

How do you calculate percentage in different ways?

The most basic approach is to divide a number by the total and then multiply by 100. For example, if you have 10 out of a total of 25, you would divide 10 by 25 to get 0.4, and then multiply by 100 to get 40%.

Another way to calculate percentage is to use proportion. This involves setting up a proportion with the given numbers and the percent you want to find on one side and 100 on the other side. For example, if you have 10 out of 25 again and want to find the percent, you would set up the proportion 10/25 = x/100. Solve for x and you get 40%.

Another method is to use a percentage calculator. This is a simple tool that allows you to enter two numbers and it will automatically calculate the percentage for you.

Finally, if you need to calculate the difference between two percentages, you can subtract the smaller percentage from the larger one. For example, if you have 10 out of 25 and 15 out of 30, you would subtract 40% from 50% to get 10%.

All of these methods can help you calculate percentages quickly and easily.

Total number of games team played = 55 games

number of games they won = 33

number of games they lose = 22

The percentage of games they lose = 22/55 x 100 = 40%

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Name each angle in four ways. Then classify the angle as acute, right, obtuse, or straight

Answers

Classification of all the angles in four different ways along with name are:

1. ∠ABC, ∠CBA, ∠B, ∠1 and the name is right angle.

2. ∠DEF, ∠FED, ∠E, ∠2 and the name is obtuse angle.

3. ∠LMN, ∠NML, ∠M, ∠3 and the name is straight angle.

4. ∠XYZ, ∠ZYX, ∠Y, ∠4 and the name is acute angle.

5. ∠KLM, ∠MLK, ∠L, ∠5 and the name is acute angle.

6. ∠RST, ∠TSR, ∠S, ∠6 and the name is obtuse angle.

Figure is attached.

Classification of the all the angles in the attached figure in four different ways with their names are:

1. Different name of the angles : ∠ABC, ∠CBA, ∠B, ∠1 .

Measure of the angle is 90°, it is right angle.

2. Different name of the angles : ∠DEF, ∠FED, ∠E, ∠2

Measure of the angle is more than 90°, it is obtuse angle.

3. Different name of the angles : ∠LMN, ∠NML, ∠M, ∠3

Measure of the angle is 180°, it is straight angle.

4. Different name of the angles : ∠XYZ, ∠ZYX, ∠Y, ∠4

Measure of the angle is less than 90°, it is acute angle.

5. Different name of the angles : ∠KLM, ∠MLK, ∠L, ∠5

Measure of the angle is less than 90°, it is acute angle.

6. 2. Different name of the angles :  ∠RST, ∠TSR, ∠S, ∠6

Measure of the angle is more than 90°, it is obtuse angle.

Therefore, as per the classification of the given angles different ways to represent them are:

1. ∠ABC, ∠CBA, ∠B, ∠1 , right angle.

2. ∠DEF, ∠FED, ∠E, ∠2 , obtuse angle.

3. ∠LMN, ∠NML, ∠M, ∠3 , straight angle.

4. ∠XYZ, ∠ZYX, ∠Y, ∠4, acute angle.

5. ∠KLM, ∠MLK, ∠L, ∠5 , acute angle.

6. ∠RST, ∠TSR, ∠S, ∠6  ,obtuse angle.

The above question is incomplete , the complete question is :

Name each angle in four ways. Then classify the angle as acute, right, obtuse, or straight.

Attached figure.

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The equation P = 2(l + w) can be used to find the perimeter P of a rectangle with length l and width w. Solve the equation for w to produce a formula for finding the width of a rectangle given its perimeter and length.

The formula is w =

Answers

Answer:

[tex]w = \frac{P - 2l}{2}[/tex]

Step-by-step explanation:

In this case, we will just simplify the given formula of the perimeter and re-arrange it to get the value of w.

[tex]P = 2(l + w)\\P = 2l + 2w\\P - 2l = 2w\\\frac{P - 2l}{2} = w[/tex]

Simplify 2h+3h^2−4g^4+5f^2+11g^4−4h+f^2

Answers

Answer:3h^2 + 7g^4 + 5f^2 - 4h - 4g^4

Step-by-step explanation:To simplify the expression 2h+3h^2−4g^4+5f^2+11g^4−4h+f^2, we can follow these steps:

Group together like terms:

2h + (-4h) = -2h

3h^2 + f^2 = 3h^2 + f^2

-4g^4 + 11g^4 = 7g^4

This gives us the expression: -2h + 3h^2 + 5f^2 + 7g^4

Combine the constants:

3h^2 + 5f^2 + 7g^4 = 3h^2 + f^2 + 7g^4

Combine the like terms:

-2h + 3h^2 + f^2 + 7g^4 = 3h^2 + f^2 + 7g^4 - 2h

So, the simplified expression is: 3h^2 + 7g^4 + 5f^2 - 4h

After simplifying, the expression we'll get,  2h+3h^2+7g^4+6f^2-4h.

To simplify these algebraic expressions, we need to group the like terms. Like terms can be defined as terms that contain the same variables raised to the same power. Only the numerical coefficients are different.

After grouping like terms, perform the required operations. Here we have two operations i.e addition and subtraction. So group the like terms which need to add and those which need to subtract.

For example, Here -4g^4+11g^4 are like terms and 5f^2+f^2 are like terms. So we'll subtract 4 from 11, we'll get 7 and the variable will remain the same that is g^4. Similarly, we'll add 5 and 1, we'll get 6 and the variable will remain the same that is f^2.

Other terms will remain as it is.

2h+3h^2+(-4g^4+11g^4)+(5f^2+f^2)-4h

2h+3h^2+7g^4+6f^2-4h

Therefore the answer is, 2h+3h^2+7g^4+6f^2-4h

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while walking in the country, you count 28 heads and 78 feet in a field of pigs and chickens. how many of each animal are there?

Answers

Answer:

There are 11 pigs and 17 chickens.

Step-by-step explanation:

Lets let

p = number of pigs

c = number of chickens

Assuming each animal has only one head, then

p + c = 28

And assuming that pigs have four feet and chickens have two feet:

pig feet = 4p

that is, 4 feet for each pig, and



chicken feet = 2c

right? two feet per chicken.



All the feet are:

4p + 2c = 78

Now we have two equations and two unknowns, so we can solve this "system of equations". You can use substitution or elimination method (or even graphing or matrices) I will run through elimination method.

Multiply p+c=28 times -2.

-2p + -2c = -56

then add the whole equation to the other equation. Do this adding vertically, from top to bottom.

-2p + -2c = -56

4p + 2c = 78

_____________

2p = 22

Divide by 2 to solve

p = 11

There are 11 pigs.

Remember,

p + c = 28

11 + c = 28

subtract 11

c = 17

There are 17 chickens.

A square has a diagonal that is 22 m long. What is the area of the square?
If necessary, round your answer to the nearest whole number.

Answers

a diagonal in a square is equal to the hypotenuse of the right triangle that is created by drawing the diagonal.
If it is a right triangle, we can use the Pythagorean theorem.
a^2 + b^2 =c^2
If a = b (sides of a square are equal) then we can do
2( a^2) =22^2
2 (a^2) = 484
Divide by 2
a^2 = 242
Because Area of a square = length^2, and in this case a = the length, the area is 242.

What is the value of x? enter your answer in the box. x = cm

Answers

The value of x in the given equation will be 2/5

From the data,

We have to determine the value of x.

The given equation is: 18x-16=-12x-4

For determining the value of x, we will first shift the like terms on one side of the equation.

So, for solving the value of x we will shift the terms containing x and the constant on both sides of the equation.

So, shifting -12x from the right-hand side of the equation to the left-hand side of the equation,

We will get it as:

18x+12x = -4+16

30x=12

Now for solving the value of x we will shift x from the left side of the equation to the right side of the equation.

So, the value of x will be = 12/30 = 2/5

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The correct question may be:

What is the value of x

18x-16=-12x-4

Enter your answer in the box.

how much money will it cost you to drive 100.0 miles if your car gets 25.70 miles per gallon and gas costs $3.309/gallon?

Answers

It will cost $12.87 for driving 100 miles.

Based on the given problem, we have identified the given information as follows:

25.70 miles per gallon100 miles as the distance traveled by car$3.309 as the cost of gasoline per gallon

Then, we identify the unknown quantity which is the total cost of gasoline, and represent this as C. Now, this can be solved by using the formula

         [tex]C = \frac{distance traveled by car}{25.70 miles per gallon} * Cost of gasoline per gallon[/tex]

By substituting the given to the variable given in the formula above, we have,

            [tex]C = \frac{100}{25.70} * 3.309[/tex]

           C = $ 12.87

The obtained value of C is $12.87, therefore, we can conclude that it costs 12.87 dollars for driving 100 miles.

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pls solve this I will give Brainly

Answers

Answer:

42

Step-by-step explanation:

(2x + 3) = 7

7x7=49

note:the other 7 is from the exponent 2

49-7=42

You spend $7.50 on a pair of gloves. Now you have $8.00 how much money did u have originally

Answers

Answer:

15.50$

Step-by-step explanation:

7.5+8= 15.5

NUMber 5
If you eplain how you didi it I put you as brianliest

Answers

Answer:

y=1/2x+2

Step-by-step explanation:

given the 2 equations, you know the following:

when x=2, you get a value of 3, let's call it Y

same with the next equation: when x=6, Y = 5

so the slope will be the diff b/w ys and then divided by diff of x's

so 5-3=2 is the diff of y

6-2=4 is the diff of x

divide 2/4 = 1/2 so the slope is 1/2

then you know the equation would be something like y=1/2 x but then you need to decide the intercept

1/2 of x when x=6 is 3, but Y =5

so you know the intercept is 2..

so the linear f(x) would be y=1/2x+2

done

Two car leave from the ame location but travel in the oppoite direction. The firt car travel an average of 50 mi/hr and leave 15 min before the econd car, which travel an average of 55 mi/hr. How long will each car travel before they are 200 mi apart?

Answers

The first car will travel for 38.2 hours and the second car will travel for 38 hours before they are 200 miles apart.

Let x = time in hours for the first car and y = time in hours for the second car. Since the two cars are traveling in opposite directions, we know that the rate of the cars' combined travel is the difference between their two rates. So, we can create the expression:

50x - 55y = 200

We can also create a second expression using the amount of time that passed between the two cars:

x - y = 0.25

We can solve this system of equations with substitution. Let's substitute the second equation into the first:

50x - 55(x - 0.25) = 200

Simplifying, we have:

5.25x = 200.25

Now, we can isolate x:

x = 200.25/5.25 ≈ 38.2 hours

We can use this value to find y. We know that x - y = 0.25, so we have:

y = x - 0.25 = 38.2 - 0.25 = 38 hours

Therefore, the first car will travel for 38.2 hours and the second car will travel for 38 hours before they are 200 miles apart.

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Here is a rectangle with length 5 units and width 2 units.

1. What is the area of the rectangle?

2. Dilate rectangle ABCD from point A by a scale factor of 2. Calculate the area of the image.

3. Dilate rectangle ABCD from point A by a scale factor of 3. Calculate the area of the image.

Answers

The area of the rectangle is 10 square units.If the rectangle is dilated from point A by a scale factor of 2, the area of the image is 40 square units.If the rectangle is dilated from point A by a scale factor of 3, the area of the image is 90 square units.What is scale factor?

This refers to the ratio between the scale of a given original object and a new object. It is its representation but of a different size (bigger or smaller). For example, if we have a rectangle of sides 2 cm and 4 cm, we can enlarge it by multiplying each side by a number, say 2.

Solving for the area and scale factor we have:

L= 5 units

W = 2 units

The area of the rectangle =L * W

A = (5 x 2)

A = 10 square units.

If the rectangle is dilated from point A by a scale factor of 2, the area of the image:

A= (Scale factor of  L * W)*  L * W

= (2 x 2 x 5 x 2)

A = 40 square units.

If the rectangle is dilated from point A by a scale factor of 3, the area of the image is:

A= (Scale factor of  L * W)*  L * W

= (3 x 3 x 5 x 2)

A= 90 square units

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CONNECTING CONCEPTS Find the value of x such that the quadrilateral is a parallelogram. Then find the perimeter of the parallelogram. Explain.​

Answers

The value of 'x' must be 4 units such that the quadrilateral is a parallelogram and the perimeter of the parallelogram is 40 square units.

What is a parallelogram?

A basic quadrilateral with two sets of parallel sides is known as a parallelogram. In a parallelogram, the opposing or confronting sides are of equal length, and the opposing angles are of equal size.

The area of a parallelogram is base multiples by height as two triangles form a parallelogram.

We know the opposite sides of a parallelogram are equal.

Therefore, 3x - 1 = x² - 5 and 2x + 1 = x² - 7.

x² - 5 - 3x - 1 = 0.

x² - 3x - 4 = 0, solving for x we have x = 4.

And,

2x + 1 = x² - 7.

x² - 7 - 2x - 1 = 0.

x² - 2x - 8 = 0, solving for x we have x = 4

(Negative values are inadmissible).

The perimeter of the parallelogram is 2×(the sum of the opposite sides).

= 2(3x - 1 + 2x + 1).

= 2(5x).

= 2×5×4.

= 40 square units.

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PLSSS HELP IF YOU TURLY KNOW THISSS

Answers

Answer:

x = 2

Step-by-step explanation:

18/9=2

9x2=18

os this scam orrr.... what?

Answer:

x=2

Step-by-step explanation:

9x=18

To solve for X we need to have just X on one side. We can do this by dividing each side by 9. Which is equal to the original because we are dividing by the same thing on both sides.

9x/9=18/9

This simplifies to x=2

We can check by putting 2 back into the equation:

9(2)=18

And that is true so we know we have a correct answer.

A recipe for hot chocolate requires 4 cups of milk , 1/4 cup of chocolate powder , 1/3 cup of honey. Write the ratio of milk to chocolate powder to honey as a whole ratio in its simplest form PLS ANSWER. ILL HIVE WHOEVER AMSWERS BRAINLIEST ​

Answers

A recipe for hot chocolate requires 4 cups of milk , 1/4 cup of chocolate powder , 1/3 cup of honey and for which Simplified  Ratio is 16 : 1 : 3.

This can be calculated by following steps:

Find the ratio of milk to chocolate powder.

 Ratio of Milk to Chocolate Powder = 4 : 1/4

Find the ratio of chocolate powder to honey.

 Ratio of Chocolate Powder to Honey = 1/4 : 1/3

Find the ratio of milk to chocolate powder to honey.

 Ratio of Milk to Chocolate Powder to Honey = 4 : 1/4 : 1/3

Simplify the ratio in its simplest form.

 Simplified Ratio = 16 : 1 : 3

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a culture of yeast doubles in size every 20 minutes. the size of the culture is now n0. find its size in 12 hours. how do you solve these problems? sugar is put in a large quantity of water and the mixture is stirred. after 2 minutes, 50% of the sugar has dissolved. how much longer will it take until 90% of the sugar has dissolved?

Answers

How much longer will it take until 90% of the sugar has dissolved can be obtained by the equation t = -(log(1-0.9))/(log(0.5)) + 2

1. To find the size of a yeast culture after 12 hours, you can use the formula: size = n0 * 2^(t/20), where t is the time in minutes. In this case, t = 12*60 = 720, so the size of the culture after 12 hours would be n0 * 2^(720/20) = n0 * 2^36.

2. To find how long it takes for 90% of the sugar to dissolve, you can use the formula: t = -(log(1-x))/(log(0.5)), where x is the percentage of sugar dissolved and t is the time in minutes. In this case, x = 0.9 and we know that 50% of the sugar has dissolved in 2 minutes, so we can find t by plugging in the values and solving for t: t = -(log(1-0.9))/(log(0.5)) + 2.

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on a certain hot summer day 128 people used the public swimming pool. the daily prices are $1.50 for children and $2.00 for adults. the receipts for admission totaled $223.00. How many children and how many adults swam at the public pool that day?

Answers

The number of children and adults that swam in the pool that day is given as follows:

Children: 66.Adults: 62.

How to obtain the number of children and adults?

The variables to the system of equations are given as follows:

Variable x: number of children.Variable y: number of adults.

128 people used the public swimming pool, hence:

x + y = 128.

x = 128 - y.

The receipts for admission totaled $223.00, hence:

1.5x + 2y = 223.

We have that x = 128 - y, hence the number of adults is obtained as follows:

1.5(128 - y) + 2y = 223

0.5y = 31

y = 62.

Then the number of children is obtained as follows:

x = 128 - 62

x = 66.

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