One brand of cookies is sold in three different box sizes: The small box had half the volume of the medium box. The large has twice the volume of the medium box . The volume of the medium box is x. If someone bus ones of each size which expression shows the combined volume of three boxes ?

Answers

Answer 1

Answer:

\(\displaystyle Vt=\frac{7x}{2}\)

Step-by-step explanation:

There are three different box sizes: The small, the medium, and the large size.

The small box has half the volume of the medium box. If x is the volume of the medium box, then:

The volume of small box = \(\frac{x}{2}\)

The large's volume is twice the medium's volume, thus:

The volume of large box=2x

The total volume of the three boxes is:

\(\displaystyle Vt=\frac{x}{2}+x+2x\)

Operating:

\(\displaystyle Vt=\frac{x+2x+4x}{2}=\frac{7x}{2}\)

The expression for the combined volume of the three boxes is

\(\mathbf{\displaystyle Vt=\frac{7x}{2}}\)


Related Questions

use a graphing utility to graph the polar equation over the given interval. r = 9 , [, 2]

Answers

The graph of the polar equation r = 9 over the interval [0, 2π] is a complete circle with radius 9 centered at the origin.

In polar coordinates, the equation r = 9 represents a circle with a constant radius of 9. The angle θ varies from 0 to 2π, which covers one complete revolution around the origin.

Using a graphing utility,  plot the polar equation r = 9 over the interval [0, 2π]. The resulting graph will show a circular shape centered at the origin with a radius of 9 units. As θ increases from 0 to 2π, the graph completes one full revolution, tracing out the entire circle.

The graph of the polar equation r = 9 can help visualize the circular shape and size of the curve in polar coordinates. It provides a geometric representation of the equation and its corresponding points in the polar plane.

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The width of a rectangle is 3 inches less than its length. The perimeter is equal to 94 inches, what is the length in inches?

Answers

Answer:

l=44in

Step-by-step explanation:

Using the formula

P=2(l+w)

Solving forl

l=P

2﹣w=94

2﹣3=44in

Are polynomials closed under addition?

Answers

Polynomials form a system like to that of integers hence they are closed under the operations of addition and subtraction.

Exponents of polynomials are whole numbers.

Hence the resultant exponents will be whole numbers , addition is closed for whole numbers. As a result, polynomials are closed under addition.

If an operation results in the production of another polynomial, the resulting polynomials will be closed.

The outcome of subtracting two polynomials is a polynomial. They are also closed under subtraction as a result.

The word polynomial is a Greek word. We can refer to a polynomial as having many terms because poly means many and nominal means terms. This article will teach us about polynomial expressions, polynomial types, polynomial degrees, and polynomial properties.

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Toby found a $52 wallet on the clearance
rack for 60% off. If sales tax is 6.25%, how
much will he pay in total?
A.$22.10
B.$23.75
C.$28.50
D.$33.15

Answers

Answer:

A. $22.10

Step-by-step explanation:

52 x 0.4 = 20.8

20.8 x 1.0625 = 22.1

last year, 54% of business owners gave a holiday gift to their employees. a survey of business owners conducted this year indicates that 32 of them plan to provide a holiday gift to their employees. suppose the survey results are based on a sample of 80 business owners. (a) suppose the business owners in the sample did as they plan. compute the p-value for a hypothesis test that can be used to determine if the proportion of business owners providing holiday gifts has decreased from last year. find the value of the test statistic. (round your answer to two decimal places.)

Answers

The p-value for a hypothesis test that can be used to determine if the proportion of business owners providing holiday gifts has decreased from last year is 0.0060 and the value of test statistic is - 2.51

54% of business owners gave a holiday gift to their employees. a survey of business owners conducted this year indicates that 32 of them plan to provide a holiday gift to their employees.

The survey results are based on a sample of 80 business owners

We need to find the value of test statistic.

Expected number = np  = 32

80 x p = 32

p = 0.4

This is a left tailed test

test statistic is (p^ - p)/√(pq/n)

= (0.40 - 0.54)/√(.54 - (1 - 0.54) / 80)

= 0.14/√((0.54 - 0.46)/80)

= -2.51

p value = P(z < - 2.51)

= 0.00060366

= 0. 0060

Therefore, the p-value for a hypothesis test that can be used to determine if the proportion of business owners providing holiday gifts has decreased from last year is 0.0060 and the value of test statistic is - 2.51

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1. ROCK is a Rhombus. What is the length of RO?
R
2x - 15
0
X+6
K

Answers

Answer:

Did h get it

Step-by-step explanation:

Which point would be a solution to the system of linear inequalities shown below?
y>-4x+6 Y>1/3x -7
(9,-7)
(-12,-2)
(12, 1)
(-12,-7)

Which point would be a solution to the system of linear inequalities shown below?y&gt;-4x+6 Y&gt;1/3x

Answers

The point (9, -7) is the only solution to the system of linear inequalities given.

To determine which point would be a solution to the system of linear inequalities, let's substitute the given points into the inequalities and see which point satisfies both inequalities.

The system of linear inequalities is:

y > -4x + 6

y > (1/3)x - 7

Let's test each given point:

For the point (9, -7):

Substituting the values into the inequalities:

-7 > -4(9) + 6

-7 > -36 + 6

-7 > -30 (True)

-7 > (1/3)(9) - 7

-7 > 3 - 7

-7 > -4 (True)

Since both inequalities are true for the point (9, -7), it is a solution to the system of linear inequalities.

For the point (-12, -2):

Substituting the values into the inequalities:

-2 > -4(-12) + 6

-2 > 48 + 6

-2 > 54 (False)

-2 > (1/3)(-12) - 7

-2 > -4 - 7

-2 > -11 (False)

Since both inequalities are false for the point (-12, -2), it is not a solution to the system of linear inequalities.

For the point (12, 1):

Substituting the values into the inequalities:

1 > -4(12) + 6

1 > -48 + 6

1 > -42 (True)

1 > (1/3)(12) - 7

1 > 4 - 7

1 > -3 (True)

Since both inequalities are true for the point (12, 1), it is a solution to the system of linear inequalities.

For the point (-12, -7):

Substituting the values into the inequalities:

-7 > -4(-12) + 6

-7 > 48 + 6

-7 > 54 (False)

-7 > (1/3)(-12) - 7

-7 > -4 - 7

-7 > -11 (True)

Since one inequality is true and the other is false for the point (-12, -7), it is not a solution to the system of linear inequalities.

In conclusion, the point (9, -7) is the only solution to the system of linear inequalities given.

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Draw an ERD for the following situation, which is based on Lapowsky (2016): The Miami-Dade County, Florida, court system believes that jail populations can be reduced, reincarceration rates lowered, and court system costs lessened and, most important, that better outcomes can occur for people in and potentially in the court system if there is a database that coordinates activities for county jails, metal health facilities, shelters, and hospitals. Based on the contents of this database, algorithms can be used to predict what kind of help a person might need to reduce his or her involvement in the justice system. Eventually, such a database could be extensive (involving many agencies and lots of personal history and demographic data) once privacy issues are resolved. However, for now, the desire is to create a prototype database with the following data. Data about persons will be stored in the database, including professionals who work for the various participating agencies as well as those who have contact with an agency (e.g., someone who is a client of a mental health facility, who is incarcerated, or both). Data about people include name, birth date, education level, job title (if the person is an employee of one of the participating agencies), and (permanent) address. Some people in the system will have been prescribed certain medicines while in the care of county hospitals and mental health facilities. A medicine has a name and a manufacturer. Each prescription is for a particular medicine and has a dosage. A prescription is due to some diagnosis, which was identified on a certain date, to treat some illness, was diagnosed by some facility professional, and has notes explaining family history at the time of the diagnosis. Each illness has a name and some medicines or other treatments commonly prescribed (e.g., certain type of counseling). Each participating agency is of a certain type (e.g., criminal justice, mental health) and has a name and a contact person. People v is it or contact an agency (e.g., they are arrested by the justice system or stay at a shelter). For each contact a person has with an agency, the database needs to record the contact date, employment status at time of contact, address at time of contact, reason for visit/contact, and the name of the responsible agency employee.

Answers

The ERD for the described situation would include entities such as county jails, mental health facilities, shelters, hospitals, and a coordinating database. Relationships between these entities would allow for coordination and prediction of the type of assistance individuals may need to reduce their involvement in the justice system.

What are the main entities and relationships in the ERD for the Miami-Dade County court system's database?

The ERD for the Miami-Dade County court system's database would include the following entities:

County Jails: Represents the jails within the county system where individuals may be incarcerated.

Mental Health Facilities: Represents the facilities that provide mental health services and support.

Shelters: Represents the shelters that offer temporary housing and assistance to those in need.

Hospitals: Represents the healthcare institutions where individuals receive medical treatment.

Coordinating Database: Represents the central database that coordinates activities and stores information from all the other entities.

The relationships between these entities would be established through appropriate connections:

County Jails to Coordinating Database: This relationship would allow for the exchange of information about individuals in the jail system, including their personal history and involvement in the justice system.

Mental Health Facilities to Coordinating Database: This relationship would facilitate the sharing of information regarding individuals' mental health needs and treatment plans.

Shelters to Coordinating Database: This relationship would enable the coordination of housing services and assistance programs for individuals in the justice system.

Hospitals to Coordinating Database: This relationship would allow for the integration of medical records and healthcare services for individuals involved in the justice system.

These relationships and the information stored in the coordinating database would serve as the foundation for algorithms to predict the type of help individuals might require to reduce their involvement in the justice system.

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I will mark it as brainliest John, Yenni, Peter and Amber have a total of 1026 marbles. If Yenni gives away 60 of her marbles, she will have 1/4 of the marbles John has. If Peter buys another 150 marbles, he will have 1/2 the number of marbles John has. If Amber doubles what she has, she will have the same number of marbles as John. How many marbles did Yenni have? I will mark it as brainliest

Answers

Answer:

2,172

Step-by-step explanation:

not too sure sorry

Answer:

184

Step-by-step explanation:

y + j + p + a = 1026

y - 60 = j/4 -------> y =  (j/4) + 60

p + 150 = j/2 -----> p = (j/2) - 150

2a = j -------> a = j/2

y = ?

y + p + j + a = 1026

(j/4) + 60 + (j/2) - 150 + j + (j/2) = 1026

(j/4) + j + j - 90 = 1026

(j/4) + 2j = 1116

9j/4 = 1116

9j = 4464

j = 496

y = (496/4) + 60 = 184

1. Which expression is equivalent to 4(x + 1) – 7(x + 3)?

ANSWER ASAPPP PLZZZ HELPPPPPPPPPPPP

Answers

Answer:

Ez -3x+25

Step-by-step explanation:

4x+4-7x+21=

-3x+25

Brainliest plzzzz

Answer:

-3x-17

Step-by-step explanation:

We need to expand this term by multiplying a term and an expression.

The following product distributive property will be used:

In our example, the resulting expression will consist of 2 terms:

the first term is a product of  and .

the second term is a product of  and .

a farmer can buy two types of plant​ food, mix a and mix b. each cubic yard of mix a contains pounds of phosphoric​ acid, pounds of​ nitrogen, and pounds of potash. each cubic yard of mix b contains pounds of phosphoric​ acid, pounds of​ nitrogen, and pounds of potash. the minimum monthly requirements are pounds of phosphoric​ acid, pounds of​ nitrogen, and pounds of potash. if mix a costs ​$ per cubic yard and mix b costs ​$ per cubic​ yard, how many cubic yards of each mix should the farmer blend to meet the minimum monthly requirements at a minimum​ cost? what is this​ cost?

Answers

To solve this problem, we need to set up a system of equations based on the given information. Let's assume that the farmer needs x cubic yards of mix a and y cubic yards of mix b.

For phosphoric acid, the equation would be:
x * pounds of phosphoric acid in mix a + y * pounds of phosphoric acid in mix b = pounds of phosphoric acid required

For nitrogen, the equation would be:
x * pounds of nitrogen in mix a + y * pounds of nitrogen in mix b = pounds of nitrogen required

For potash, the equation would be:
x * pounds of potash in mix a + y * pounds of potash in mix b = pounds of potash required

We can solve this system of equations using substitution or elimination method. Once we find the values of x and y, we can calculate the total cost.

Since the question asks for the answer in more than 100 words, I'll provide an explanation for the solution process.

1. Set up the equations using the given information.
2. Solve the system of equations to find the values of x and y.
3. Substitute the values of x and y into the cost equation to find the total cost.

The solution to the problem is to blend x cubic yards of mix a and y cubic yards of mix b to meet the minimum monthly requirements at a minimum cost. The total cost can be calculated by substituting the values of x and y into the cost equation.

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What are the first two steps in solving the radical equation below?
√x-6 +5=12
OA. Square both sides and then subtract 5 from both sides.
B. Square both sides and then add 6 to both sides.
OC. Subtract 5 from both sides and then square both sides.
D. Subtract 5 from both sides and then add 6 to both sides.
SUBMIT

Answers

The first two steps in solving the radical equation √x - 6 + 5 = 12 are:

C. Subtract 5 from both sides and then square both sides.

The first two steps in solving the radical equation √x - 6 + 5 = 12 are:

C. Subtract 5 from both sides and then square both sides.

The correct steps are as follows:

Subtract 5 from both sides:

√x - 6 = 12 - 5

√x - 6 = 7

Square both sides of the equation:

(√x - 6)² = 7²

(x - 6)² = 49

Therefore, the correct choice is option C. Subtract 5 from both sides and then square both sides.

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Imagine you have a bond with ten years left until maturity, a face value of $1000 and a 4% coupon rate. Interest rates recently rose to 6% and you want to figure out how it might impact the price of your bond. How much would this bond pay you back in principal at the end of the 10 years?

Answers

The bond would pay back its face value of $1000 at the end of the 10 years.

How to determine the amount to pay back

The face value of the bond is the amount the bond will be worth when it matures, and it is also known as the "par value" or the "principal amount."

In this case, the face value of the bond is $1000, so at the end of the 10 years, the bond will pay back $1000 in principal to the bondholder.

The coupon rate, which is 4% in this case, determines the amount of the annual interest payment that the bondholder will receive.

Therefore, regardless of the changes in interest rates, the bond will pay back its face value of $1000 at the end of the 10 years.

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please someone complete this ive never struggled so bad

please someone complete this ive never struggled so bad

Answers

Answer:

Step-by-step explanation:

Im not really sure what the heck you doing because im only in 8th grade but right now im in central and i'm kind of good at math but i'll try. Lets see........ I think they would all just be $11.50, but like i said im only in 8th grade and not that good at this kind of math so before you answer it please check with someone else to see if i got it right for you, cause i don't want to give you the wrong answer and you fail it.

how does attitude, beliefs and knowledge impact how a teacher delivers a lesson

Answers

Attitude, beliefs, and knowledge shape a teacher's delivery: attitude affects engagement, beliefs influence instructional decisions, and knowledge enables effective communication and learning facilitation.

Attitude, beliefs, and knowledge play crucial roles in shaping how a teacher delivers a lesson. Here's a detailed explanation of their impacts:

Attitude:

Attitude refers to a teacher's mindset, emotions, and approach towards teaching. A positive attitude fosters enthusiasm, motivation, and a genuine passion for the subject matter. This translates into an engaging and dynamic teaching style, creating an environment conducive to learning. Conversely, a negative attitude can lead to disinterest, lack of enthusiasm, and a disengaged teaching approach, which can hinder students' engagement and comprehension.

Beliefs:

A teacher's beliefs influence their instructional decisions and pedagogical strategies. Beliefs about students' capabilities, learning styles, and the purpose of education can shape the teacher's approach to delivering a lesson. For example, if a teacher believes that all students have the potential to succeed, they may employ differentiated instruction techniques to cater to diverse learning needs. Conversely, if a teacher holds limiting beliefs about students' abilities, they may adopt a one-size-fits-all approach, which may hinder student progress.

Knowledge:

A teacher's knowledge encompasses both subject matter expertise and pedagogical content knowledge. Profound knowledge of the subject allows a teacher to effectively structure and present the lesson, answer student queries, and provide relevant examples. Pedagogical content knowledge helps in selecting appropriate instructional strategies, adapting to student needs, and assessing learning effectively. Without a strong knowledge base, a teacher may struggle to deliver accurate information, engage students, or address misconceptions.

Collectively, attitude, beliefs, and knowledge significantly impact a teacher's delivery of a lesson. A positive attitude enhances student motivation and engagement. Strong beliefs in students' potential and individualized instruction foster a supportive learning environment. Adequate subject knowledge and pedagogical skills enable effective communication and facilitate meaningful learning experiences. By combining these elements, teachers can create an impactful and effective learning environment that nurtures student growth and achievement.

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The perimeter of a rectangular pool is 312 m.
If the width of the pool is 68 m, what is its length?
Length of the pool:
m

Answers

The perimeter of a rectangle is calculated by:

\(\boxed{P=width +width+length+ length}\)

Remember: In a rectangle, opposite sides are equals.

If we know how much is the width, then it's just apply it to the expression:

\(P=width+width+length+length\\312 =68 + 68 + length + length\\312 = 136+(2\cdot length)\\312 - 136 = 2\cdot length\\2\cdot length = 176\\length = \frac{176}{2} \\length = 88\)

Therefore, the length of the pool is 88m.

Previous Problem Problem List Next Problem (1 point) Find the curvature of the plane curve y=32² +2z-3 atz-4 k KO

Answers

Given that the plane curve y = 32² + 2z - 3 at z = 4k0.We have to find the curvature of the curve.

The formula for the curvature of the curve is given as follows:κ = |r′×r′′|/|r′|³ where r' and r'' are the first and second derivatives of the given function, respectively. Here, the given function is y = 32² + 2z - 3at z = 4k0

So, the derivative of y with respect to z will ber' = 2z

Therefore, the second derivative of y with respect to z will be

r'' = 2

The value of z is given as 4k0.

Substitute the value of z in r' to get r' = 2(4k0) = 8k0

Substitute the value of z in r'' to get

r'' = 2

Thus, the curvature of the given curve y = 32² + 2z - 3 at z = 4k0 will beκ = |r′×r′′|/|r′|³= |8k0 × 2|/|8k0|³= 2/8k0²= 1/4k0²

Therefore, the answer isκ = 1/4k0².

Therefore, the curvature of the given curve y = 32² + 2z - 3 at z = 4k0 will be 1/4k0². Hence, this is the final answer.

The conclusion is that the curvature of the given curve y = 32² + 2z - 3 at z = 4k0 is 1/4k0².

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1 1/2 ÷ (1 1/4 * 1 1/4) ÷ 1 2/3 ÷ (1 1/5 * 1 1/5)

Answers

Answer:

0.4

Step-by-step explanation:

Answer:

0.4

Step-by-step explanation:

the measures of position that divide a set of data into four equal parts are called

Answers

The measures of position that divide a set of data into four equal parts are called quartiles.

Quartiles are statistical measures that divide a dataset into four equal parts, each containing approximately 25% of the data. These quartiles are denoted as Q1, Q2, and Q3.

Q1, also known as the first quartile or the 25th percentile, represents the value below which 25% of the data falls. It splits the lowest 25% of the dataset from the rest.

Q2, also known as the second quartile or the 50th percentile, is the median of the dataset. It represents the value below which 50% of the data falls, dividing the dataset into two equal parts.

Q3, also known as the third quartile or the 75th percentile, represents the value below which 75% of the data falls. It separates the highest 25% of the dataset from the rest.

These quartiles are useful in analyzing the distribution and dispersion of data, providing insights into the spread and central tendency.

They are commonly used in box plots, where the box represents the interquartile range (IQR), which is the range between Q1 and Q3, while the line inside the box represents the median (Q2).

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Ifwe take the following list of functions f1,f2,f},f4, and f5. Arrange them in ascending order of growth rate. That is, if function g(n) immediately follows function f(n) in your list, then it should be the case that f(n) is O(g(n)). 1) f1(n)=10n 2)f2(n)=n1/3 3) 73(n)=nn 4) f4(n)=log2​n 5)(5(n)=2log2n

Answers

Arranging the given functions in ascending order of growth rate, we have:

f4(n) = log2(n)

f5(n) = 2log2(n)

f2(n) = n^(1/3)

f1(n) = 10n

f3(n) = n^n

The function f4(n) = log2(n) has the slowest growth rate among the given functions. It grows logarithmically, which is slower than any polynomial or exponential growth.

Next, we have f5(n) = 2log2(n). Although it is a logarithmic function, the coefficient 2 speeds up its growth slightly compared to f4(n).

Then, we have f2(n) = n^(1/3), which is a power function with a fractional exponent. It grows slower than linear functions but faster than logarithmic functions.

Next, we have f1(n) = 10n, which is a linear function. It grows at a constant rate, with the growth rate directly proportional to n.

Finally, we have f3(n) = n^n, which has the fastest growth rate among the given functions. It grows exponentially, with the growth rate increasing rapidly as n increases.

Therefore, the arranged list in ascending order of growth rate is: f4(n), f5(n), f2(n), f1(n), f3(n).

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help me plzzzzzzzzzzzzzzzz

help me plzzzzzzzzzzzzzzzz

Answers

Answer:

4^20

Step-by-step explanation:

When you have an exponent raised to another exponent, you multiply the exponents.

when turned about it’s axis of rotation, which shape could have created this three-dimensional object

Answers

Answer:

c

Step-by-step explanation:

Answer: A would be the answer

Step-by-step explanation:

We always evaluate just the specific result obtained in the experiment. True or False.

Answers

False. We do not always evaluate just the specific result obtained in an experiment.

In scientific experiments, we do not just evaluate the specific result obtained in the experiment. Instead, we evaluate the entire experimental design, including the methods used, the sample size, and the statistical analysis.

For example, suppose a researcher conducts an experiment to test a new drug's effectiveness in treating a particular disease. If the result of the experiment shows that the drug is effective, the researcher cannot simply conclude that the drug works based on this one result. Instead, the researcher must evaluate the experimental design to ensure that the result is reliable and valid.

This evaluation includes examining the study's methods to determine if they are appropriate and if the sample size is large enough to produce meaningful results. It also involves statistical analysis to assess the strength of the relationship between the treatment and the outcome and to determine if the result is statistically significant.

Therefore, evaluating just the specific result obtained in an experiment is not sufficient. We must also consider the experimental design, methods used, sample size, and statistical analysis to draw valid and reliable conclusions from the experiment.

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Please help! Sarah’s dogs:
Create frequency tables to represent the morning and afternoon dogs as two sets of data. Group the weights into classes that range 10 pounds. (Table is in second attachment)

Please help! Sarahs dogs: Create frequency tables to represent the morning and afternoon dogs as two
Please help! Sarahs dogs: Create frequency tables to represent the morning and afternoon dogs as two

Answers

Answer:

For Sarah's dogs, we have:

Morning:

39, 21, 12, 27, 23, 19, 19, 31, 36, 25

if the ranges are:

A) 10 pounds to 19 pounds: here we have the dog of 12, and two dogs of 19.

B) 20 to 29: one of 21 pounds, one of 27, one of 23 and one of 25, so here we have 4 dogs.

C) 30 to 39. here we have the left 3 dogs.

then the table is:

\(\left[\begin{array}{ccc}range&dogs\\10to19&3\\20to29&4\\30to39&3\end{array}\right]\)

For the afternoon, the weights of the dogs are:

15, 51, 8, 16, 43, 34, 27, 11, 8, 39

So the ranges:

0 to 9: here we have two dogs of 8.

10 to 19: 3 dogs, 15, 16 and 11.

20 to 29: 1 dog of 27

30 to 39: 2 dogs of 34 and 39

40 to 49: one dog of 43

50 to 59: one dog of 51.

the table is:

\(\left[\begin{array}{ccc}range&dogs\\0to9&2\\10to19&3\\20to29&1\\30to39&2\\40to49&1\\50to59&1\end{array}\right]\)

Answer:

No hate but Facundo your answer is so complicated

Step-by-step explanation:

what numbers does a,b,c represent and you have two tables but after abc I just don't understand can someone please help me?!? Thanks for answering it though.

Expand & simplify
6(3x+3)−3(4x−2)

Answers

6(3+3)−3(4−2)

Distribute

|

18+18−3(4−2)

Distribute

|

18+18−12+6

Add the Numbers

|

18+24−12|

Combine like Terms

|

Your Solution: 6+24

please help thx 10 poin

please help thx 10 poin

Answers

Answer:

X = 55

Step-by-step explanation:

If the angel is 90:

75 + 90 = 165

165 divided by 3 = 55

Answer:

X=55

Step-by-step explanation:

HELP PLEASEEEEEEEEEEE

HELP PLEASEEEEEEEEEEE

Answers

The correct answer would be A. Hope this helps!

Evaluate
PLS HELP!!!

EvaluatePLS HELP!!!

Answers

Answer:

4092

Step-by-step explanation:

r = 2

a1 = 4×(2)^(1 - 1) = 4

S10 = a1×((1 - r^10)/(1 - r)

= 4×((1 - 2^10)/(1 - 2))

= 4×((1 - 2^10)/-1)

= 4×(-(1 - 2^10))

= -4×(1 - 2^10)

= -4 + 4 × 2^10

= -4 + 2^2 × 2^10

= -4 + 2^12

= -4 + 4096

= 4092

Answer:

4092

Step-by-step explanation:

Given is a GP with:

Common ratio r = 2First term a = 4*2¹⁻¹ = 4*1 = 4

We need to find the sum of the first 10 terms:

Sₙ = a(rⁿ - 1)/(r - 1)S₁₀ = 4*(2¹⁰ - 1)/(2 - 1) = 4*(1024 - 1)/1 = 4(1023) = 4092

£880 is divided between Jim, Krutika & Natasha so that Jim gets twice as much as Krutika, and Krutika gets three times as much as Natasha. How much does Krutika get?

Answers

Answer:

264 pounds

Step-by-step explanation:

Write the question in the form of a ratio:

Natasha: Krutika: Jim

1:3:6

Now, we divide the amount of 880 in the ratio.

there are 10 parts in total.

1 part = 880 divided by 10 = 88.

since Krutika gets 3 parts, she gets 88 x 3 = 264

(+7) x (-3) math intergers

Answers

Answer:

-21

Step-by-step explanation:

- * + = -

- * - = +

+ * + = +

Here + * - = -

7* 3 = 21 and sign is -ve

Answer:

-21

Step-by-step explanation:

(7)*(-3)=

7*-3=

-21

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