Three glasses of milk and 2 snack bars have a total of 53 carbohydrates​ (carbs), and 2 glasses of milk and 3 snack bars have a total of 52 carbs. Determine how many carbs are in one glass of milk and in one snack bar

Answers

Answer 1

Answer:

1 Glass of milk has 11 Carbohydrates

1 snack bar has 10 Carbohydrates

Step-by-step explanation:

Let M represent a glass of milk and S represent a snack bar! So, we have equations that are

3M + 2S = 53 Carbs

2M + 3S = 52 Carbs

We time the first equation by -1.5 and get

-4.5M - 3S = -79.5 Carbs

2M + 3S = 52 Carbs

Now let's find the Milk carbs by adding both equations

-2.5M = -27.5 Carbs

M = 11 Carbs

Now put 11 in for M to find the Carbs for a snack bar.

2(11) + 3S = 52 Carbs

22 + 3S = 52 Carbs

3S = 30 Carbs

S = 10 Carbs

So, 1 Glass of milk has 11 Carbohydrates

      1 snack bar has 10 Carbohydrates

Answer 2
Make a system of equations:
m means carbs in glasses of milk
s means carbs in snack bars
3m + 2s = 53
2m + 3s = 52
Solve by elimination
I’m doing this: first multiply the top equation by -2 and the bottom by 3 (everything).
-6m - 4s = -106
6m + 9s = 156
Now add the equations: (ms cancel out)
5s = 50
Divide both sides by 5 to get a
s = 10
Now that you have s, substitute it for s in one of the equations (I’m doing the first equation)
3m + 2(10) = 53
3m + 20 = 53
Subtract 20 from both sides
3m = 33
Divide both sides by 3
m = 11
So now you have the carbs in a snack bar (s) and in a glass of milk (m).

Related Questions

The combined volume of all the tanks at an aquarium is 1.25x10^6
gallons. The aquarium plans to install a new dolphin tank with a volume of 250,000gallons. What will be the total volume of all of the tanks at the aquarium after the new dolphin tank is installed?

Answers

Answer: The total volume of all the tanks at the aquarium after the new dolphin tank is installed will be 1.25x10^6 gallons + 250,000 gallons = 1.5x10^6 gallons.

This is the equivalent of 1,500,000 gallons.

Step-by-step explanation:

How and his friends bought stickers for $1.25 each and will mark them up 180%. What will they sell the tickets for?

Answers

Answer:$2.25x

Step-by-step explanation:

Lets use X to denote the amount of stickers How and his friends bought.  so he buys them at 1.25x.  An easy trick when doing percentages of a number is thinking of the percent as a fraction.  So instead of 180, think of 180/100.  Think of 1.25 as 125/100

multiply 180/100 by 125/100

you get 22500/10000 which equals 2.25

or 2.25x

How much power is needed to get up the stairs, if I can do this with 30 Joules of work in 3 seconds?

Answers

Answer:

10 Joules/second

Step-by-step explanation:

To find the power needed to get up the stairs, we need to divide the amount of work done (30 Joules) by the time it took to do the work (3 seconds):

Power = Work / Time

Power = 30 Joules / 3 seconds

Power = 10 Joules/second

Therefore, it takes 10 Joules/second of power to get up the stairs.

Bonsoir j'ai cette exercice a faire pour demain on peut m'aider ?

Answers

V grande pyramide = ( 8 * 8 * 6 ) / 3 = 128 cm³
k = IJ / AB = 4 / 8 = 0,5
v petite pyramide = 128 * 0,5³ = 16 cm³
Volume compris entre les deux pyramides: 128 - 16 = 112 cm³

the multiple regression/correlation model is a model with: group of answer choices multiple dependent variables and multiple independent variables multiple dependent variables and a single independent variable. single dependent variable and multiple independent variables single dependent variable and single independent variable

Answers

The multiple regression model is a model with single dependent variables and multiple independent variables.

The term regression referred as a statistical method that helps us to analyze and understand the relationship between two or more variables of interest.

Here we have to find the missing term in the statement "the multiple regression/correlation model is a model with"

In order to find the solution, we must know the definition of multiple regression model.

Multiple Regression model in statistics is defined as the is a statistical technique that can be used to analyze the relationship between a single dependent variable and several independent variables.

Based on these definition, we have identified that it has single dependent variable and multiple independent variable.

Therefore, option (c) is correct.

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If the term of a sequence increases in value what is true about the common difference

Answers

Answer:

Common Difference is positive

Step-by-step explanation:

If the common difference is negative, the value is decreasing every time the term increases.

If the common difference is positive, the value is increasing every time the term increases.

Because, in this case,  when the term increases, the value increases, the common difference is positive.

please help me solve this

Answers

Answer:

8+5x

Step-by-step explanation:

Perimeter = sum of the all sides of triangle

= 6+3x-4+2x + 6

= 8+5x

Answer:

5x + 8

Step-by-step explanation:

To find the perimeter, add up all the sides

6 + 3x-4 + 2x +6

Combine like terms

5x + 8

Maria and Franco are mixing port drink for a track meet. Maria ue 3/4cup of powdered mix for every 3 gallon of water. Franco ue 1 2/3 cup of powdered mix for every 5 gallon of water. Quetion 1 Part A What i the unit rate of cup of powered mix per gallon for each peron? Enter the correct anwer in the boxe. Maria: $$ cup of powdered mix per gallon Franco: $$ cup of powered mix per gallon

Answers

The unit rate of cup of powered mix per gallon for each person by

Maria: 3 cups

Franco: 1/3 cups

Rate of powdered mix = number of cups ÷ number of gallons of water

Keep the values in formula to find the unit rate of cup of powdered mix

Rate of powdered mix by Maria = (3/4)÷3

Rate of powdered mix by Maria = 3/(4×3)

Cancelling 3 as it is common

Rate of powdered mix by Maria = 3 cups per gallon

Firstly converting the amount of cups from mixed fraction to fraction

Amount of cups = 1 [tex] \frac{2}{3} [/tex]

Amount of cups = 5/3 cups

Rate of powdered mix by Franco = (5/3)÷5

Rate of powdered mix by Franco = 5/(5×3)

Cancelling 5 as it is common

Rate of powdered mix by Franco = 1/3 cups per gallon

Thus, Maria's powdered mix is 3 cups per gallon while Franco's powdered mix is 1/3 cups per gallon.

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tomas is thinking of a number. if he triples it and subtracts 13, the result is 305. of what number is tomas thinking of

Answers

Answer:

106

Step-by-step explanation:

(305+13)/3=106

The graph below represents the distance of a dog from a trainer after a command is given.

A graph titled Dog Obedience School. The horizontal axis shows Time (seconds), numbered 1 to 10, and the vertical axis shows Distance (yards) numbered 4 to 40. The line shows an increase, then decrease, then constant distance.

Which statement could describe the dog’s movement at 5 seconds once the command was given?

The dog stopped to lie down and obey the trainer’s command.
The dog was running towards the trainer to receive a treat.
The dog was running away from the trainer to chase a squirrel.
The dog was stopped but began running towards the trainer.

Answers

The statement dog was running towards the trainer to receive a treat.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given that  graph represents the distance of a dog from a trainer after a command is given.

A graph titled Dog Obedience School. The horizontal axis shows Time (seconds), numbered 1 to 10,

The vertical axis shows Distance (yards) numbered 4 to 40.

The line shows an increase, then decrease, then constant distance.

At the point on the graph where time is 5 seconds, the slope of the distance vs time curve is negative, indicating the dog is moving toward the trainer.

The motivation of the dog is unknown, so the above answer choice involves speculation that is not supported by the problem statement.

Hence, the statement dog was running towards the trainer to receive a treat.

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What are the values of x and y? Question options:
A) x = 18√3 y = 9√3
B) x = 9; y = 9√3
C) x = 9√2 ; y = 9
D) x = 9√3 ; y = 9

Answers

Answer:

Given:

A figure of a triangle.

To find:

The values of x and y.

Solution:

From the given triangle it is clear that the base angles of the triangle are equal, so the triangle is an isosceles triangle.

Altitude on the base of the isosceles triangle from from the opposite angle is a median. It means, it divides the base in two equal parts.

In the given triangle, the altitude divides the base in two equal parts and the measure of each part is 9 units.

Step-by-step explanation:

Answer:

B) x = 9; y = 9√3

Step-by-step explanation:

x = 9 = ( 9 )

y = 9√3 = ( 15.588 )

Hope this helps!

The time spent (in days) waiting for a heart transplant for people ages 35-49 in a recent year follows a normal distribution with a mean wait time of 204 days and standard deviation 25. 7 days. The 12% of people who wait the shortest for a heart transplant wait no more than how many days?.

Answers

Using the table of Z-normal distribution and with the value of mean, standard deviation and the 12% who wait the shortest, The answer is

173.80 days.

What do you mean by probability distributions?

A mathematical function called a probability distribution explains the likelihood of many alternative values for a variable. Graphs or probability tables are frequently used to represent probability distributions. The probability distribution of X is defined as the function f(x) p(x)= P(X=x) for any x falling within the range of X. The probability mass function for the discrete random variable X is another name for it.

What is a Z-normal distribution?

A unique type of normal distribution with a mean of 0 and a standard deviation of 1 is known as the standard normal distribution, or z-distribution. By transforming the values of any normal distribution into z scores, it is possible to standardize it. Z scores provide the number of standard deviations from the mean that each value falls within.

[tex]P(x < Z) = 0.12\\Z = -1.175[/tex](From Z-normal table)

[tex]\frac{x-204}{25.7} = -1.175\\x= -1.175*25.7 +204\\x=173.80\\[/tex]

Days = 173.80 days .

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if the residuals from a fitted regression violate the assumption of homoscedasticity, we know that a. they are normally distributed. b. they are independent of one another. c. there are extreme outliers. d. their variance is not constant.

Answers

Option D is the correct answer. if the residuals from a fitted regression violate the assumption of homoscedasticity their variance is not constant.

Homoscedasticity: It is an assumption of equal or similar variances in different groups are being compared. It is a condition in which the variance of the residual, or error term, in a regression model, is constant.

This is one of the most important assumptions of parametric statistical tests because they are sensitive to any dissimilarities. It is valid when X and Y are independent.

To deal with this First, we have attempted to transform your target using square root, log, reciprocal square root, or reciprocal transformations.

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A 3-gallon container of laundry detergent cot $33. 60. What i the price per cup?

Answers

As per the unitary method, the price of the cup is $2.958

Unitary method in statistics is defined as in which the value of one article is first obtained to find out the value of any required articles

Here we have given that the 3-gallon container of laundry detergent cost $33. 60.

And we need to find the price per cup.

While we looking into the given question, we have identified the following details that cost of 3 gallon container of laundry detergent is $33.60.

So, the cost for 1 gallon container of laundry detergent cost,

=> 33.60/3

=> 11.20

Let us consider that the cup can hold 1 liter.

As we know that 1 gallon = 3.78541 liter.

Then the cost of 1 liter is calculated as,

=> 11.20/3.78541

=> 2.958

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PLEASE HELP
What is the approximate volume of the cone
Use 3.14 for TT.
57 cm3
339 cm3
509 cm3
1526 cm3

Answers

The volume of the Illustrated cone used as an example is 51.3cm³.

How to calculate the volume?

Volume is a measurement of three-dimensional space that is occupied. It is frequently expressed numerically using SI-derived units, as well as different imperial or US-standard units. Volume and the definition of length are related.

A cone is a recognizable three-dimensional geometric shape with a flat and curved surface that is pointed upward. The formula for the volume of a cone is V=1/3hπr²

Let's say the radius is 7cm. The volume will be:

= 1/3 × 3.14 × 7²

= 51.3cm³

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Wright 4.17 * 10 ^ 3 In scientific notation please help​

Answers

4 thousand one hundred and seventy

how much water should we add to 20kg of sea water to change its concentration from 2% to 3%

Answers

Answer: 10 kg

Step-by-step explanation:

3% = 0.03

First, take 20 times 0.03 = 0.6kg of salt

We know that the 2% solution of seawater

So, we take 100 times 0.6, then divide by 2 = 30kg

Then take 30 - 20 = 10kg

So, to make a solution from 3% to 2%, we have to add  10 kg of water with a 20 kg solution.

help with my thing and get 16 point

Answers

I guess the answer is D and E

for how many pairs of consecutive integers in {1000,1001,1002,...,2000} is no carrying required when the two integers are added?

Answers

156 pairs of consecutive integers in {1000,1001,1002,...,2000} is no carrying required when the two integers are added

You will need to consider four cases.

when _999 and _000 are the last three digits of consecutive numbers. Just possible cases are 1999, 2000

At the point when the last 2 digits of the continuous numbers are _ _ 9 9 and _ _ 0 0. 5 possible scenarios (corresponding to (0,1), (1,2), (2,3), (3,4), and (4,5) at the hundredth place) exist.

when the last digit of consecutive numbers is in the form ____ 9 and ____ 0. 5*5 = 25 possible scenarios.

when none fall into that category, possible case=. 5*5*5 = 125,

and the answer is 125+25+5+1 = 156.

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Find the measure of each angle indicated.

A. 127 degrees
B. 53 degrees

Help!!!

Answers

Answer:

B. 53 degrees

Step-by-step explanation:

Because the ?-angle is equal to the 53-degree angle. So, the answer is B. 53 degrees

Write the following as an algebraic expression. Then simplify

The sum of three consecutive even integers is
330. Find the integers.

Answers

Answer:

  108, 110, 112

Step-by-step explanation:

You want three consecutive even integers whose sum is 330.

Expression

Let x represent the middle integer. Then the other two are (x-2) and (x+2). The expression for their sum is ...

  (x -2) +x +(x +2) = 330 . . . . . an algebraic expression

  3x = 330

  x = 110

  x -2 = 108

  x +2 = 112

The three integers are 108, 110, 112.

__

Additional comment

"Consecutive integer" problems are often worked easily by considering the average value of the integers. For three consecutive integers, their average is the middle one.

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What is the average of 129 and 47?

Answers

Answer:

the average for 129 is 159 and the average for 47 is 49

Step-by-step explanation:

find the area of this triangle

Answers

Answer: a is about 7.416, rounding to two significant digits, 7.4, to one significant digit, 7.

Step-by-step explanation:

We will use the Pythagorean Theorem.

a²+b²=c²

c² is the longest side, so 8cm.

lets make the bottom side b², so 3cm

We are trying to find h, so let's make that a².

Applying the Theorem:

a²+3²=8²

--- a² + 9 = 64

subtract 9 from both sides.

-- a² = 55

Take the square root of both sides

a is about 7.416, rounding to two significant digits, 7.4, to one significant digit, 7.

Answer:

22.249 cm^2 (THIS IS ROUNDED)

Step-by-step explanation:

to find the area we first need to find h using Pythagorean theorem

a^2+b^2=c^2

We need to isolate a^2 on one side

a^2+b^2=c^2

     -b^2.   -b^2

a^2=c^2-b^2

a^2=8^2-3^2

a^2=64-9

a^2=55

√.      √

a=7.416

Now we multiply by 3 to find the area

7.416x3

About 22.249 cm^2

Hopes this helps

is (x+1) a factor of polynomial x^3+2x^2-19x-20

Answers

Answer:

Step-by-step explanation:

3

Describe the Vertex Form of a Quadratic
equation in words.

Answers

The vertex form of a quadratic equation is a standard form of a quadratic equation that is written in the form:

y = a(x-h)^2 + k

where a, h, and k are constants. This form is called the vertex form because it represents the graph of the quadratic equation as a parabola, with the vertex of the parabola located at the point (h,k).

The vertex form of a quadratic equation is useful because it allows us to easily identify the vertex of the parabola and the direction in which the parabola opens. If a is positive, the parabola opens upwards and the vertex is the minimum point of the parabola. If a is negative, the parabola opens downwards and the vertex is the maximum point of the parabola.

Overall, the vertex form of a quadratic equation is a standard form that represents the graph of a quadratic equation as a parabola with a specific vertex location. It is useful for identifying the characteristics of the graph and for solving problems involving quadratic equations.

61 Développer et réduire l'expression suivante.
B(x)=(x-1)² + x² + (x + 1)²
b. Déterminer trois entiers naturels consécutifs dont
la somme des carrés est 4 802.
Pour les
à l'aide
68 a.
c. 422-
69

Answers

Answer:

Step-by-step explanation:

iven, the equation is (x - 1)² + 2(x + 1) = 0. We have to determine if the equation has a real root. By using algebraic identity, (a - b)² = a² - 2ab + b² (x - 1)² = x² - 2x + 1.

Find the measure of each angle indicated.

A. 111 degree
B. 69 degree

Help!!!

Answers

Answer: A. 111 degree

Step-by-step explanation:

Because they are Alternate Interior angles! Which means the two angles are congruent and have the same degree!

It would be A!
Because they are alternate interior angles and alternate interior angles will always have the same measures if they are on opposite sides from each other!

Explain how to find the volume and surface area

Answers

The volume and the surface area of the regular octogonal prism are given as follows:

Volume: [tex]56(1 + \sqrt{2})[/tex] cubic inches.Surface area: [tex]S = 128 + 8\sqrt{2}[/tex] square inches.

How to obtain the volume of the prism?


The volume of the prism is given by the multiplication of the base area of the prism by the height of the prism.

The base is a regular octagon of side length 2 inches, hence it's area is given as follows:

[tex]A = 2a^2(1 + \sqrt{2})[/tex]

Hence, considering that a = 2, the base area is given as follows:

[tex]A = 8(1 + \sqrt{2})[/tex]

The height is of 7 inches, hence the volume, in cubic inches, is given as follows:

[tex]V = 7 \times 8(1 + \sqrt{2}) = 56(1 + \sqrt{2})[/tex]

How to calculate the surface area?

The prism is composed by:

Eight rectangles of dimensions 2 inches and 7 inches.Two regular octagons of side length 2 inches.

Hence the surface area of the prism, in square inches, is calculated as follows:

[tex]S = 2 \times 8(1 + \sqrt{2}) + 8 \times 2 \times 7[/tex]

[tex]S = 128 + 8\sqrt{2}[/tex]

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a local department store estimates that 10 percent of its customers return the merchandise they purchase. let the random variable r represent the number of returns for a random sample of 40 customers. assume that random variable r follows a binomial distribution. what is described by the value of (408)

Answers

The value of (408) is (0.1)8(0.9)32 for a local department store estimates that 10 percent of its customers return the merchandise they purchase.

The value of (408)(0.1)8(0.9)32 represents the probability of getting 8 returns out of a sample of 40 customers, given that the store estimates that 10% of customers return merchandise.

This probability is calculated using the binomial probability formula, which is used to calculate the probability of a specific number of successes (in this case, returns) in a certain number of trials (in this case, customer purchases), given a certain probability of success (in this case, the estimated probability of customers returning merchandise).

The value of (408)(0.1)8(0.9)32 ( 40 8 ) ( 0.1 ) 8 ( 0.9 ) 32 describes the probability of getting 8 returns out of 40 customers when the probability of a customer returning the merchandise they purchase is 0.1.

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Pleaseeee helppppp meee

Answers

Answer:

A

Step-by-step explanation:

w = 12500p + 250

250 is a fixed number of words.

12500 is the slope

For each dollar the price increases, the number of words increases by 12,500.

Answer: A

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