calcular la suma de las aristas de un cubo si su volumen es 64

Answers

Answer 1

Answer:

Step-by-step explanation:

V = 64

a = ∛V = ∛ 64 = 8

Sum = 12·a = 12·8 = 48


Related Questions

PLS HELP!!

Cruz had d $10 bills and 4 fewer $20 bills than he has $10 bills. Enter an algebraic expression to represent how much money Cruz has in dollars. Simplify the expression, if possible.

Answers

Answer:Here's the basic equation

m(d) = 10d + 20(d - 2)  (the money total is the 10 dollar bills plus the 20 dollar bills (which are two less than the 10 dollars))

Step-by-step explanation:

To simplify it, start by distributing the 20:

m(d) = 10d + 20d - 40

add like terms

m(d) = 30d - 40

-2f-3.7<2.3 inequality?

Answers

The solution to the inequality expression is f >-3

How to determine the solution to the inequality expression?

From the question, we have the following parameter that can be used in our computation:

-2f - 3.7 < 2.3

Add 3.7 to both sides of the expression

This gives

-2f < 6

Divide both sides of the expression by -2

So, we have the following representation

f >-3

Hence, the solution is f >-3

Read more about inequality at

https://brainly.com/question/25275758

#SPJ1

a population has a mean of 75 and a standard deviation of 10. samples of size 50 are chosen and the sample means are recorded. what is the expected value of the sample mean?

Answers

A population has a standard deviation of 10 and a mean of 75.

The sample mean has a standard deviation of 5 and an expectation of 100.The empirical rule states that there is a 68% probability of being between 95 and 105 (within one standard deviation of its expected value) if it is approximately normal.

What is meant by a standard deviation?

A measure of how dispersed the data are in relation to the mean is called the standard deviation (or ).Data with a low standard deviation are grouped around the mean, while data with a high standard deviation are more dispersed.

How can I determine the standard deviation?

Step 1: Locate the mean. Step 2: Find the square of the distance from the mean for each data point. Step 3: Sum the results of Step 2's values. Step 4: Divide by how many data points there are.

Learn more about standard deviation here:

https://brainly.com/question/475676

#SPJ4

481.5712 Find the digits in the tens place, in the tenths place, and in the ten thousandths place for the following number.

Answers

Answer:

Tens place: 8

Tenths place: 5

Ten thousandths place: 2

Answers:

tenths place = 5

ten-thousandths place = 2

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

Explanation:

Refer to the place value chart shown below.

The 5 is in the tenths place which is one spot to the right of the decimal point. The ten-thousandths place is four spots to the right of the decimal point.

Module 10 Honors Assignment – Geometry
Use the area of the shapes to determine the geometric probability for each problem.
Suppose a dart is thrown at a regular hexagon dartboard with the design
shown. (Reminder: regular polygons have congruent sides and congruent
angles). Find the probability that a dart hits one of the shaded areas. The
white figure is a rectangle. Be sure to show all work.

Answers

The probability that a dart hits one of the shaded areas is 1/6 when a dart is thrown at a regular hexagon dartboard with the design shown.

What is probability?

The area of mathematics known as probability studies potential outcomes of events as well as their relative probabilities and distributions.

Here,

angle of hexagon=360/6=60°

using trigonometric ratios,

area of triangle=bh/2

=(h*h√3/2)/2

=h²√3/4

area of hexagon=6*area of triangle

=6*(h²√3/4)

=3√3*h²/2

area of rectangle=bh

=h*h√3

=h²√3

area of shaded region,

=3√3*h²/2-h²√3

=h²√3/2

area of 1 shaded region=(h²√3/2)/2

=h²√3/4

Probability of hitting one shaded area,

=(h²√3/4)/(h²3√3/2)

=1/6

When a dart is thrown at a standard hexagonal dartboard with the pattern shown, the likelihood that it will land in one of the shaded areas is 1/6.

To know more about probability,

https://brainly.com/question/11234923?referrer=searchResults

#SPJ1

4 students have different heights. Their average is 64.5 inches. The shortest is 62 inches and the tallest is 68 inches. If the middle two have the SAME height, how tall are each of them?

Please help, 50 points. Show your work!!! I need it or I wont get a mark.

Answers

The height of each of the two students is 64

What is the mean of data?

The mean (aka the arithmetic mean, different from the geometric mean) of a dataset is the sum of all values divided by the total number of values. It’s the most commonly used measure of central tendency and is often referred to as the “average.”

Let the heights of each of the two students be x,

so that x, x, 68 and 62 are the heights of the four students

Average height which is 64.5 = [tex]\frac{x + x + 62 + 68}{4}[/tex]

[tex]\frac{x + x + 62 + 68}{4}[/tex] = 64.5

by cross multiplying,

x + x + 62 + 68 = 4 x 64.5

2x + 130 = 258

collecting like terms,

2x = 258 - 130

2x = 128

x = 128/2

x = 64 inches

In conclusion the height of each of the 2 students with equal height is 64 inches.

Learn more about Mean: https://brainly.com/question/20118982

#SPJ1

I need help solving with an explanation please

Answers

Answer:

a = 1b = 0c = 0d = 1

Step-by-step explanation:

[tex]\left[\begin{array}{cc}2&7\\1&3&\end{array}\right] \left[\begin{array}{cc}-3&7\\1&-2&\end{array}\right] =\left[\begin{array}{cc}2(-3)+7(1)&2(7)+7(-2)\\1(-3)+3(1)&1(7)+3(-2)&\end{array}\right] =\left[\begin{array}{cc}1&0\\0&1&\end{array}\right][/tex]

Steve drives an electric car. He can drive 425 kilometres before he needs to stop and re-charge his car. It takes 10 minutes to charge 50 kilometres. How long does Steve have to wait for his car to fully charge?

Answers

Answer:

Step-by-step explanation:

The question is asking how many times does 50 go into 425?

or 450/50 = ?

my calculator says it's 9 .  What does your calculator say?

since we now know it's 9 times,   we can just multiply 9 * 10 minutes

by observation of 9*10,  I get the answer,  what answer do you get?

The shop teacher wrote down how many picture frames the students made last week.
Making picture frames
******
xxxx-
x
xx
ххххххх
0 1 2 3
4
Picture frames made
How many students made at least 3 picture frames?
students

Answers

9 students made at least 3 picture frames.

What is Box- whisker plot?

An illustration of variation in a set of data is called a box and whisker plot. A histogram analysis usually gives an adequate display, but a box and whisker plot can add more detail while enabling the display of different sets of data on the same graph.

Given:

The plot shows picture frames made by students last week.

Number of Frames     Number of students

              0                               6

              1                                4

              2                               1

              3                               2

              4                               7

So, the students made at least 3 picture frames

= 2+ 7

= 9

Hence, 9 students made at least 3 picture frames.

Learn more about box plot here:

https://brainly.com/question/1523909

#SPJ1

2<-2x+6 or -18>-2x+6

Answers

x < 2 and x > 12 are the answers to the inequality expressions supplied.

What is an inequality expression

An algebraic inequality is a mathematical statement that uses the inequality sign to connect an expression to a value, a variable, or another expression. One-variable inequalities can have solutions that can be graphed on a number line or on a coordinate plane.

Given the inequality expressions below:

2<-2x+6 or -18>-2x+6

Solve individually;

2 < -2x + 6

2-  6 < -2x

-4 < -2x

-2x > -4

x < 4/2

x <2

For the inequality  -18>-2x+6

-18 - 6 > -2x

-24 > -2x

-2x < -24

x  > 24/2

x > 12

Hence the solution to the given inequality expressions are x < 2 and x > 12

Learn more on inequality here: https://brainly.com/question/11613554

#SPJ1

The solution to the inequality −17 + 2x ≤ 19 − 4x is x ≤ k for some number k. What is k?

Answers

The solution to the inequality −17 + 2x ≤ 19 − 4x is x ≤ k. The value of k is 6.

How to solve inequality?

In mathematics, the relationship between two values that are not equal is defined by inequalities.

Therefore, the inequality can be solved as follows:

−17 + 2x ≤ 19 − 4x is  x ≤ k .

Let's solve for k

−17 + 2x ≤ 19 − 4x

subtract 2x from both sides of the inequalities

−17 + 2x ≤ 19 − 4x

−17 + 2x - 2x ≤ 19 − 4x - 2x

- 17 ≤ 19 - 6x

Subtract 19 from both sides of the equation

- 17 ≤ 19 - 6x

- 17 - 19 ≤ 19 - 19 - 6x

- 36 ≤ - 6x

divide both sides by -6

- 36 / -6 ≤ - 6x / -6

6 ≥ x

x ≤ 6

Therefore, k = 6

learn more on inequality here: https://brainly.com/question/2382055

#SPJ1

Keilantra is working two summer jobs, making $12 per hour lifeguarding and $6 per
hour walking dogs. Last week Keilantra worked a total of 11 hours and earned a total
of $108. Graphically solve a system of equations in order to determine the number of
hours Keilantra worked lifeguarding last week, x, and the number of hours Keilantra
worked walking dogs last week, y. Graph the problem

Answers

She has to do at least 8.6 hours walking (and then 7.5 hours dog walking) for the minimum of $80 earning

Keilantra is working two summer jobs, making $12 per hour lifeguarding and $6 per hour walking dogs. Last week Keilantra worked a total of 11 hours and earned a total of $108.

x = number hours dog walking

y = number hours Lifeguarding

x + y <= 11

12x + 6y >= 80

The solution is the common area below the first line and above the second line.

The first line is above the second line (due to the y-intercept of 11 vs. 8) until the crossing point.

for the crossing point we use the regular equations :

from the first we get

x = 11 - y

using this in the second

12×(11 - y) + 6y = 80

132 - 12y + 6y = 80

6y = 52

y = 52/6 = 26/3 = 8.6

x = 11 - y = 11 - 8.6 = 2.4

So, she has to do at least 8.6 hours lifeguarding (and then 7.5 hours dog walking) for the minimum of $80 earning, all the way up to the maximum of 11 hours lifeguarding (and 0 dog walking).

Hence the answer is she has to do at least 8.6 hours lifeguarding (and then 7.5 hours dog walking) for the minimum of $80 earning.

To learn more about equations click here https://brainly.com/question/22688504

#SPJ9

HELP PLS
Find the y-intercept of the line on the graph.
Enter the correct answer.

Answers

Answer:

-4

Step-by-step explanation:

The line intercepts at the y axis on exactly -4.

Answer:

The y-intercept is (0,-4).

Step-by-step explanation:

You can see that for the y-axis, that is the first point the line passes through. Hope this helps! Good luck! I am up doing math too. -_- Don't mark me brainliest, I just like to help.

PLEASE HELP!!! QUESTION ON PICTURE​

Answers

Answer:

27

Step-by-step explanation:

I broke the figure up into 3 rectangles.

5x2 = 10

2x3 = 6

4x5 = 20

This adds to 36.  Then subtract out the green square of 9

36 - 9 = 27

which of the following are true about the chi-square goodness of fit test?a. It is common to use one-sided alternative hypotheses when performing the chi-square goodness of fit test
b. The chi-square test statistic follows a Poisson null distribution
c. It compares an observed frequency distribution with an expected frequency distribution
d. The null hypothesis is that there is no difference between the observed and expected values
e. The degrees of freedom are k - 1, where k is the number of classes
f. The nature of the expected frequency distribution depends on the probability model on which it is based

Answers

Option c, d, f are true about the chi-square goodness of fit test.

Explanation:

a. It is common to use one-sided alternative hypotheses when performing the chi-square goodness of fit test.

FALSE, there is no such thing as one sided in chi-square goodness of fit test.

b. The chi-square test statistic follows a Poisson null distribution.

FALSE, chi square is a distribution of its own more like normal distribution.

c. It compares an observed frequency distribution with an expected frequency distribution.

TRUE, because this is what is done in chi-square test.

d. The null hypothesis is that there is no difference between the observed and expected values.

TRUE

e. The degrees of freedom are k - 1, where k is the number of classes.

FALSE, because k is the number of parameters and not the number of classes.

f. The nature of the expected frequency distribution depends on the probability model on which it is based.

TRUE, this is a fact line because the model whose hypothesis testing we are following we will follow expected frequency of that model only.

To know more about chi-square check below link:

https://brainly.com/question/4543358

#SPJ4

Need help with this please

Answers

Answer:

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

A fish is swimming at a constant rate towards the ocean floor. The equation y = -5x – 9 can be used to represent this situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming. Which statement best describes the depth of the fish, given this equation? Answer

Answers

The statement best describes the depth of the fish is that from starting position of 9 meters below sea level, the fish is descending 5 meters per second

How to determine the statement that best describes the depth of the fish?

In order to know which statement best describes the depth of the fish, we have to first understand what the equation means:

Given: the equation y = -5x – 9

This can be likened to the equation of a straight line, which is of the form y =mx +c,

where m is the slope and c is the y-intercept

Comparing the given equation with the equation of a line :

y = -5x – 9

Slope(m) = -5 and  y-intercept(c) = -9

The y-intercept represents the starting while the slope is the rate of descend

Therefore, what this means is that from starting position of 9 meters below sea level, the fish is descending 5 meters per second.

Learn more about equation of a line on:

brainly.com/question/12626026

#SPJ1

Help me please I dont know

Answers

Opposite angles congruent, consecutive angles are complementary,

how can we find A? .

Answers

no question;;;;;;;;;;;;;;;;;;;;;;

help plssssssssss i want it fast​

Answers

Answer:

x = 4

Step-by-step explanation:

assuming you require to find the value of x

Δ ADE and Δ ACB are similar ( by the AA postulate )

then the ratios of corresponding sides are in proportion, that is

[tex]\frac{AD}{AC}[/tex] = [tex]\frac{AE}{AB}[/tex] ( substitute values )

[tex]\frac{x}{x+x-2}[/tex] = [tex]\frac{x+2}{x+2+x -1}[/tex]

[tex]\frac{x}{2x-2}[/tex] = [tex]\frac{x+2}{2x+1}[/tex] ( cross- multiply )

(2x - 2)(x + 2) = x(2x + 1) ← expand left side using FOIL

2x² + 2x - 4 = 2x² + x ( subtract 2x² + x from both sides )

x - 4 = 0 ( add 4 to both sides )

x = 4

Write 3 x √3 as a single power of 3

Answers

Answer:

[tex]3^{1.5}[/tex]

Step-by-step explanation:

[tex]3 = 3^1[/tex]

[tex]\sqrt{3} = x^{0.5}[/tex]

[tex]3*\sqrt{3} = 3^{1} * 3^{0.5} = 3^{1 + 0.5} = 3^{1.5}[/tex]

7. What is the dependent variable for the function g(t)=-t-10?
Ot
10
O-t
09
A

Answers

The dependent variable in the function g(t) = - t - 10 is g .

In the given function g(t) = - t - 10 , we have t which is the independent variable. It makes up the domain of the function.

The independent variable is the one whose value is mapped by all and any particular t.

And 10 is the constant.

Dependent variables get their name since their values are examined throughout an experiment under the assumption or requirement that they are likewise dependent on the value of the dependent variable pursuant to some regulation .

Independent variables are those that, in relation to anything having to do with the experiment in question, are not considered to be reliant on any other factors.

to learn more about Dependent variables visit:

https://brainly.com/question/1479694

#SPJ1

a researcher finds a 95% confidence interval for the average commute time in minutes using public transit is (15.75, 28.25). what is the correct interpretation of this interval?

Answers

By using the concept of confidence interval, it is obtained that

We are 95% confident that the interval 15.75 < μ < 28.25 contains the population mean commute time in minutes using public transportation.

Second option is correct

What is Confidence interval?

Let the quantity which is to be estimated is [tex]\theta[/tex].  A confidence interval for the parameter θ, with confidence level [tex]\alpha[/tex] is the interval (a, b), where

P(a < [tex]\theta[/tex] < b) = [tex]\alpha[/tex], P is the probability

Here the  average commute time in minutes ([tex]\mu[/tex]) is to be calculated

95% confidence interval for the average commute time in minutes using public transit is (15.75, 28.25)

This means that it is 95% confident that the interval (15.75, 28.25) contains the population mean commute time in minutes using public transit

So the correct interpretation is

We are 95% confident that the interval 15.75 < μ < 28.25 contains the population mean commute time in minutes using public transportation.

Second option is correct

To learn more about confidence interval, refer to the link

https://brainly.com/question/15712887

#SPJ4

Complete Question

A researcher finds a 95% confidence interval for the average commute time in minutes using public transit is (15.75, 28.25). What is the correct interpretation of this interval?

A) There is a 95% chance commute time in minutes using public transit is between 15.75 and 28.25 minutes.

B) We are 95% confident that the interval 15.75 < μ < 28.25 contains the population mean commute time in minutes using public transportation.

C) We are 95% confident that all commute time in minutes for the population using public transit is between 15.75 and 28.25 minutes.

D) We are 95% confident that the interval 15.75 < μ < 28.25 contains the sample mean commute time in minutes using public transportation.

the product of 5 and the sum of 3 times a number and 4

Answers

Answer:

it is written as 5(3x+4)

The answer is 5(3x+4).

If f(x) = 4x+9 and g(x) = x-6, what is f(x) times g(x)?

A.) x^2 - 15x + 8
B.) 4x^2 - 15x - 54
C.) x^2 - 54x - 15
D.) 4x^2 + 8x -54

Answers

Answer:

  B.) 4x^2 - 15x - 54

Step-by-step explanation:

You want the product f(x)·g(x) when f(x) = 4x+9 and g(x) = x-6.

Binomial multiplication

The distributive property can be used to find the product. Each term of one binomial is multiplied by every term of the other, and like terms are combined.

  f(x)·g(x) = (4x +9)·(x -6)

  = 4x(x -6) +9(x -6)

  = 4x² -24x +9x -54 = 4x² +(-24 +9)x -54

  f(x)·g(x) = 4x² -15x -54 . . . . . . . . . . matches choice B

__

Additional comment

The product of two binomials is sometimes described using the mnemonic FOIL, for First, Outer, Inner, Last. These refer to the locations of the terms involved in the four products

(4x +9)·(x -6) — First(4x +9)·(x -6) — Outer(4x +9)·(x -6) — Inner(4x +9)·(x -6) — Last

These products are the same as the ones we show above.

The FOIL mnemonic is only helpful for two binomials. Any polynomials can be multiplied using the distributive property.

What does mean in math.

Answers

Answer:

Its the average of the numbers, and its the sum of all values divided by the total number of values.

Answer:

mean median and mode song rap helps me remember

Your friend asks you to help him study and will pay you 5 dimes the first time you help him. You agree to help if he multiplies your payment by 5 for each study session. After 2 study sessions, you will receive 25 dimes, and after 3 study sessions, you will receive 125 dimes.

Complete and solve the equation that finds the number of dimes he will pay you after the 7th study session

Answers

The equation that finds the number of dimes he will pay you after the 7th study session [tex]a_7=5\times5^{7-1}[/tex].

Given that, Your friend asks you to help him study and will pay you 5 dimes the first time you help him.

What is a geometric sequence?

A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant. This ratio is known as a common ratio of the geometric sequence.

The formula to find nth term of the geometric sequence is [tex]a_n=ar^{n-1}[/tex].

According to the question,

The geometric sequence is 5, 25, 125,.....

So, r=25/5 =5

Now, [tex]a_7=5\times5^{7-1}[/tex]

= 5×15625

= 78125 dimes

Therefore, the equation that finds the number of dimes he will pay you after the 7th study session [tex]a_7=5\times5^{7-1}[/tex].

To learn more about the geometric sequence visit:

https://brainly.com/question/11266123.

#SPJ1

help due a week ago!!!!!!!!!!!!!!!!!!!

Answers

Answer:

5+0.1x=3-0.9x

2=-0.10x

1=-0.5x

x=-2

Answer is B good luck comrade<33!!

Work out the percentage increase in her total hours from Weekend 1 to Weekend 2

Answers

3 + 2 = 5 hours
5 1/2 + 3 1/2 = 9 hours
9 / 5 = 1.75
75% increase

Answer:

Step-by-step explanation:

weekend 1 : 3+2= 5

weekend 2 : 5.5+3.5=9

difference: 9-5=4

increase/initial value [times] 100

4/5(100)= 80%

Wyatt went to the grocery store and bought bottles of Soda and bottles of juice. Each bottle of Soda has 30 grams of sugar and each bottle of juice has 40 grams of sugar. Wyatt purchased 2 more bottles of juice than bottles of Soda and they all collectively contain 430 grams of sugar. Write a system of equations that could be used to determine the number of bottles of Soda purchased and the number of juice purchased. Define the variables that you used to write the system.

Answers

Answer:

soda=30g

juice=40g

2 juice than soda=430g

Step-by-step explanation:

Since Keven bought 12 total drinks, we have the equation S + J = 12. We also know how much sugar is in each drink, as well as the total amount of sugar in all the drinks purchased. The equation 30S + 40J = 450 represents this scenario in terms of S and J. Now we have two equations with two unknowns (S and J) that make up the following linear system of equations:

S+J =12

30S+40J =450

We can solve this system by using either elimination or substitution (I will use substitution here):

S+J = 12

S=12- J

Now we can substitute the expression 12- J in for S in the second equation, and then solve for J:

30(12- J) +40J = 450

360- 30J +40J = 450

10J = 90

J = 9

Finally, we can substitute 9 in for J in either of the two original equations to solve for S:

S + 9 = 12

S = 3

So Keven bought three bottles of soda and nine bottles of juice. Hope this helps. Let me know if you have any questions.

The system of equations that could be used to determine the number of bottles of Soda purchased will be J=S+2 and 30S+40J =430, while the number of juice purchased will be 7.

What is the equation?

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that, each bottle of juice contains 40 grams of sugar, compared to 30 grams per bottle of soda. Wyatt bought 2 more bottles of juice than soda, and they all have 430 grams of sugar in total.

If Wyatt purchased 2 more bottles of juice than bottles of Soda

J =2+S ------------(1)

J-S=2

Each bottle of Soda has 30 grams of sugar and each bottle of juice has 40 grams of sugar and they all collectively contain 430 grams of sugar.

30S+40J =430

Substitute the value of J in equation 2 as

30S+40(2+S)=430

30S+80+40S=430

70S=430-80

70S=350

S=5

The number of juice is,

J=S+2

J=5+2

J=7

Thus, the system of equations that could be used to determine the number of bottles of Soda purchased will be J=S+2 and 30S+40J =430, while the number of juice purchased will be 7.

Learn more about the equation here,

https://brainly.com/question/10413253

#SPJ2

Other Questions
Consider the following code segment. Int a = 10; int b = 5 * 2; System. Out. Print(a == b); What is printed as a result of executing the code segment? jim recently received a large inheritance from a distant relative. based on research, it can be expected that: please choose the correct answer from the following choices, and then select the submit answer button. answer choices jim will initially be happy and will maintain his level of happiness as long as he has the money. jim will be happiest if he spends this money on himself. jim will initially be happy but will then adjust and need more to be happy. jim will be happiest if he gives it away. What are three different modern day issues that the three branches of government can solve separately? Please answer due tommorow The gravitational field of the Moon is weaker than that of the Earth. Itpulls on each kilogram of mass with a force of 1.6N. What will be theweight of a 50kg mass on the Moon? [4] Find the standard form of the parabolawith vertex: (- 2,5) and directrix: x = 3. Create a word problem that can be solved using an equation involving only multiplication or division. Give the equation for the word problem.Respond to two of your classmates' posts. Solve the equation for their word problem and explain what the solution represents. After determining the research design the next step in the research process isA. design sample and collect data. B. design data collection method and forms. C. formulate problem. D. prepare the research proposal. please help me......................! NO LINKS!! Find the center and radius of the circle with the given equation How does mitosis help our sequoia tree become so big? Question 5 options:Mitosis makes gametes that are genetically different in order to produce seeds for the next generation of sequoia trees. Mitosis is a process that starts with a stem cell that becomes a specialized cell(s) to carry out the complex processes of life needed to sustain the sequoia tree. Mitosis makes more cells to repair or replace dead or damaged cells, and it makes more cells to help the tree grow. All of the above 17. Toby is riding his bicycle at 15 m/s. If ittakes him 60 seconds to get to the end ofthe street. What was the length of thestreet?18.methim hen read numbers from the keyboard. ex: if the input is: 102 99 103 88 109 sample output is: sum extra: 14 steps: assign sum extra with the total extra credit received given list test grades. full credit is 100, so anything over 100 is extra credit. for the given program, sum extra is 14 because 2 0 3 0 9 is 14. Parker went to the grocery store and bought bottles of soda and bottles of juice. Each bottle of soda has 50 grams of sugar and each bottle of juice has 10 grams of sugar. Parker purchased a total of 14 bottles of juice and soda which collectively contain 300 grams of sugar. Graphically solve a system of equations in order to determine the number of bottles of soda purchased,x, and the number of bottles of juice purchased, y. How did Salvador Allende impact modern society in South America? Find the minimum initial height h at which the car can be released that still allows the car to stay in contact with the track at the top of the loop. Express the minimum height in terms of r. Which type of stem cells have the ability to become any other type of body cell? individuals with dependent personality disorder are likely to try to meet others' needs and expectations, even if it means sacrificing their own needs. this is because of their: How can anticipatory labeling of students as future prisoners in need of coercive control or exclusion create a self-fulfilling prophecy ? Think about what happens to troubled students if they are kicked out of school? What do their future prospects look like? 12xx+8+3x= ______x + _______ Complete the equation so that it has infinitely many solutions. Mangelo restaurant had liabilities with a carrying value of $425,000 and fair value of $600,000. How should mangelo report these liabilities on the balance sheet?.