ms.smiths has 28 sixth graders and 35 seventh graders. if she wants to break the two grades in to identically sized groups without any students left over, how many students should be in a group.
Answers
Answer:
Step-by-step explanation:
Ms.Smiths has 28 sixth graders and 35 seventh graders. if she wants to break the two grades in to identically sized groups without any students left over, how many students should be in a group?
The key to solving this math problem is to add both the Sixth and Seventh graders, the divide them by three. You'll see that they divide equally into 3 groups of 21.
4+5=9 answer is nine
Related Questions
What is the conjugate?
a-√a-1
Answers
Answer:
√a-1=√a
Step-by-step explanation:
by making a sign opposite to the qs
please help will mark right answer brianlyist
Answers
Answer:
b = 64°
2b = 128°
Step-by-step explanation:
use (n-2)×180 to find the total number of degrees inside a polygon where 'n' equals number of sides
hexagon has 6 sides; (6-2)×180 = 720°
528 + 3b = 720
3b = 192
b = 64
Please answer using IRAC method for each question.
Please Identify all the issues.
Question 1
XYZ Pty Ltd (XYZ) called for tenders for supplies of seedlings for its’ iceberg lettuce farm with a closing date of 30 June. The following tenders were submitted: 1. Lettuce R Us Pty Ltd hand-delivered its tender on 29 June to the head office of XYZ. 2. We Grow Pty Ltd posted its tender on 29 June. This letter arrived at XYZ head office on 1 July. Lettuce R Us Pty Ltd’s tender was the lowest of the two, however, XYZ awarded the contract to We Grow Pty Ltd because of their outstanding reputation. XYZ posted a letter to We Grow Pty Ltd advising that its tender was successful. Unfortunately, this letter never reached We Grow Pty Ltd because it was accidentally destroyed by a disgruntled postal worker who had just been made redundant. Since We Grow Pty Ltd had not heard from XYZ, it instead entered into a contract with another grower and committed its full stock of seedlings to this contract. XYZ became aware of the full situation concerning We Grow Pty Ltd. It seeks advice concerning its contractual position in relation to both tenders.
Question 2
Joseph leased a shop in the Central Shopping Centre for the past three years. Joseph is very concerned about his health and he has been diagnosed as suffering from a disease that will result in him requiring constant care in the near future. The lease on the shop was about to expire and the manager of the shopping centre, Thomas, told him that he had ‘better decide quickly’ whether he wanted to renew his lease because there were two other potential tenants who would take his space ‘at a moment’s notice’. Despite being aware of Joseph’s illness and needs, Thomas would only offer Joseph a new five-year lease at a substantially higher rent. Joseph really wanted to retire to look after his health but felt like he could not afford to give up the income from the shop. He reluctantly signed the new lease. One year later Joseph received a large payout from a legal claim and could now afford to retire. Advise Joseph whether he is able to avoid the lease at common law.
Question 3
Michael is a director of Road Bikes Pty Ltd (RB) which has developed sophisticated engineering for manufacturing high quality handmade road bikes. RB has attracted attention from professional and amateur cyclists’ around the State of Queensland. Michael is involved in a serious cycling accident and is left no choice but to sell RB. George is a world champion cyclist and is immediately interested in purchasing the business. George prepares a contract for the purchase of RB and hands the contract to Michael. The contract includes a term that would prevent Michael from opening another road bike manufacturing business anywhere in Australia for the next 25 years. Michael and George sign the contract. Michael quickly recovers from his accident and wants to know whether there is any way he can set up a new bike manufacturing business under common law. Advise Michael.
Answers
The issues in this scenario include the validity of Lettuce R Us Pty Ltd's tender, the late delivery of We Grow Pty Ltd's tender, the awarding of the contract to We Grow Pty Ltd based on reputation, and the destruction of the acceptance letter by a postal worker.
The issues in this scenario include whether Joseph can avoid the lease due to Thomas' conduct, the impact of Joseph's illness on the lease negotiation, and the validity of the new lease agreement.
The issues in this scenario involve the inclusion of a non-compete clause in the contract between Michael and George, and whether Michael can set up a new bike manufacturing business under common law.
In Question 1, the issues revolve around the validity of Lettuce R Us Pty Ltd's tender and the late delivery of We Grow Pty Ltd's tender. Additionally, the awarding of the contract based on reputation and the destruction of the acceptance letter raise concerns about contract formation and communication of acceptance.
In Question 2, the issues include Thomas' conduct in pressuring Joseph to renew the lease, the impact of Joseph's illness on the lease negotiation, and the validity of the new lease agreement in light of these factors.
In Question 3, the issue centers around the inclusion of a non-compete clause in the contract and whether Michael can set up a new bike manufacturing business under common law despite the restriction.
Learn more about inclusion here:
https://brainly.com/question/20111189
#SPJ11
A triangle has side lengths 35cm, 46cm, and 68cm. What true of triangle is this
Answers
The triangle is scalene triangle as none of the sides of a triangle are equal to each other.
Triangles are classified into three types on the basis of its sides.
Equilateral triangle = If all sides of a triangle are equal then it is known as equilateral triangle.
Isosceles triangle = If any two sides of a triangle are equal then it is known as isosceles triangle.
Scalene triangle = If none of the sides of a triangle are equal then it is known as scalene triangle.
The question states that a triangle has side lengths 35cm, 46cm, and 68cm
so, none of the side are equal so the given triangle is scalene triangle
To know more about triangles
https://brainly.com/question/28615851
#SPJ4
Solve x2+x-1=0 using the quadratic formula.
Answers
Answer:
x = \(\frac{-1 ±\sqrt{5} }{2}\)
Step-by-step explanation:
Ignore the A that doesn't belong in the answer
Help please please!!!!!
Answers
Answer: the two equations are the D so all of the above
Step-by-step explanation:
So I took each equation and then I replaced the x and y with what they gave us (x,y) and I found that it was actually equal to what the equation said so we can say they are solutions of the equations. Have a nice day :)
will give BRAINLY, EASY question, please help ASAP! Please explain your answer! Calculate the area of the block "V" shown below. *Drawing not to scale
Answers
Answer:
Answer is 117.86 mm^2
Answer is given below with explanations.
Step-by-step explanation:
\(in \: the \: figur \: there \: are \: two \: parllelograms \\ intersecting \: a \: triangle \\ area \: of \: 1 \: parallelogram \: = \: bh \: \\ here \: base\: (b) = 20 \:mm \: \: an d \: height \: (h) = 4 \: mm \\ area \: of \: 1 \: parallelogram \: = 20 \times 4 \\ \: \: = 80 \: {mm}^{2} \\ area \: of \: 2 \: parallelogram \: = bh \\ here \: base \: (b) = 32 \: mm \\ height \: (h) = 2 \: mm \\ area \: of \: 2 \: parallelogram \: = 32 \times 2 \\ \: \: = 64 {mm}^{2} \\ in \: the \: v \: shaped \: figure \: there \: s \: a \: triangle \\ area \: of \: triangle \: is \: calculated \: using \: \\ heron \: s \: formula \\ area \: of \: triangle \: = 26.14 \\ area \: of \: v \: block \\ = area \: of \: 1 \: parallelogram \: + area \: of \: 2 \: parallelogram \: - area \: of \: triangle \\ = 80 + 64 - 26.14 \\ \: \: = 117.86 \: {mm}^{2} \)
HAVE A NICE DAY!
hospital records show that 12% of all patients are admitted for heart disease, 16% are admitted for cancer (oncology) treatment, and 4% receive both coronary and oncology care. what is the probability that a randomly selected patient is admitted for coronary care, oncology or both? (note that heart disease is a coronary care issue.)
Answers
The probability of randomly selected patient selected for coronary, oncology or both is equal to P( H∪C ) = 0.24.
Let patient admitted with heart disease represented by P(H)
P(H) = 12%
= 0.12
And patient admitted for cancer disease represented by P(C)
P(H) = 16%
= 0.16
Percent of patient received both coronary and oncology = 4%
P( H∩C ) = 0.04
Probability of randomly selected patient admitted for coronary, oncology or both is :
P( H∪C ) = P(H) + P(C) - P(H∩C )
⇒P( H∪C ) = 0.12 + 0.16 - 0.04
⇒ P( H∪C ) = 0.24
Therefore, the probability of randomly selected patient getting treatment for coronary, oncology or both is given by P( H∪C ) = 0.24.
Learn more about probability here
brainly.com/question/11234923
#SPJ4
Consider the following NLP: min s.t. 2x12+2x1x2+x22−10x1−10x2
x12+x22≤5
3x1+x2≤6
x1,x2≥0 (a) Aside from regularity and the given constraints, what are the first order necessary conditions for this problem? (Be as specific as possible.) (b) Find a solution by assuming the first Lagrangian multiplier constraint is active and the second one is inactive. (c) Does this satisfy the first order necessary conditions? Explain.
Answers
The first-order necessary conditions for the given NLP problem involve the KKT conditions, and a specific solution satisfying these conditions needs further analysis.
(a) The first-order necessary conditions for constrained optimization problems are defined by the KKT conditions. These conditions require that the gradient of the objective function be orthogonal to the feasible region, the constraints be satisfied, and the Lagrange multipliers be non-negative.
(b) Assuming the first Lagrangian multiplier constraint is active means that it holds with equality, while the second one is inactive implies that it does not affect the solution. By incorporating these assumptions into the KKT conditions and solving the resulting equations along with the given constraints, a solution can be obtained.
(c) To determine if the solution satisfies the first-order necessary conditions, one needs to verify if the obtained values satisfy the KKT conditions. This involves checking if the gradient of the objective function is orthogonal to the feasible region, if the constraints are satisfied, and if the Lagrange multipliers are non-negative. Only by performing this analysis can it be determined if the solution satisfies the first-order necessary conditions.
Learn more about solution here:
https://brainly.com/question/28221626
#SPJ11
Can you please help me!
Answers
Answer:
16
Step-by-step explanation:
Pythagoras theorem was used
if it takes Anderson 4 minutes to swim 8 laps how many laps per minute is that?
Answers
Answer:
2 laps per minute
Step-by-step explanation:
4/4= 1(minute)
8/4= 2(laps)
Therefore, it is 2 laps per minute
What is the function rule that describes the pattern in the table
Answers
Answer:
C
Step-by-step explanation:
what is the y intercept of 2y-5x=16
Answers
2y-5x=16
2y-5(0)=16
2y-0=16
2y=16
Y=8
So the y-intercept is (0,8)
Answer:
2
Step-by-step explanation:
Please provide explanation.
Answers
Answer:
100 square meters
Step-by-step explanation:
\( {x}^{2} + 6x + 8x = 240\)
\( {x}^{2} + 14x = 240\)
\( {x}^{2} + 14x - 240 = 0\)
\((x - 10)(x + 24) = 0\)
\(x = 10\)
x = -24 will not work (it is extraneous).
\( {x}^{2} = 100\)
So the area of the square region is 100 square meters.
Find the total surface area.A. 94.4 km²B. 71.2 km²C. 102.9 km²D. 55.6 km²
Answers
The area of the solid shape can be obtained by dividing the surfaces into different parts and finding each area and summing all the areas together.
Surface 1----> rectangle with dimensions 4km by 2km
\(\begin{gathered} A_1=l\times b \\ A_{1}=4\times2=8km^{2} \end{gathered}\)Surface 2 ---> rectangle with dimensions 8km by 2km
\(A_2=8\times2=16km^2\)Surface 3 ----> rectangle with dimensions 8km by 2km
\(A_3=8\times2=16km^2\)Surface 4 ----> triangle with a base 8km and a height of 3.9km
\(A_4=\frac{1}{2}\times b\times h=\frac{1}{2}\times8\times3.9=15.6km^2\)Surface 5 ----> triangle with base 8km and height 3.9km
\(A_5=\frac{1}{2}\times8\times3.9=15.6km^2\)The total surface area of the solid shape is
\(A_T=8+16+16+15.6+15.6=71.2km^2\)Option B is the answer.
13)a survey was conducted at a college asking all employees if they were satisfied with the level of security provided by the security department. discuss how the results of this question could be biased.
Answers
The results of the satisfaction survey regarding the level of security provided by the security department at a college could be biased due to several factors.
Non-response bias: If only a subset of employees participate in the survey, it may not accurately represent the opinions of all employees. Those who choose not to respond may have different perspectives on security satisfaction, leading to a biased sample. Social desirability bias: Employees may feel pressure to provide socially desirable responses, especially if the survey is conducted internally. They may fear negative consequences or want to maintain a positive image, leading to biased results. Sampling bias: If the survey is administered to a specific department or group of employees, rather than the entire employee population, it may not capture the diversity of opinions across different departments or employee levels, resulting in biased results.
Framing bias: The way the survey question is worded can influence respondents' answers. For example, if the question is framed positively or negatively, it can lead to biased responses that may not accurately reflect their true level of satisfaction. Self-selection bias: Employees who have strong opinions about the security department, either positive or negative, may be more likely to participate in the survey. This self-selection can introduce bias as it may overrepresent extreme opinions and not capture the views of more neutral employees. To mitigate these biases, it is important to design surveys with careful consideration of sampling techniques, wording of questions, and encouraging high response rates to ensure a more representative and unbiased assessment of employees' satisfaction with the security department's level of security.
To learn more about biased click here: brainly.com/question/30462162
#SPJ11
find two possible functions f, given the second-order derivative. (enter your answers as a comma-separated list.) f ''(x)
Answers
The two possible functions is F(x)= \frac{x^4}{12}+3x^2 and F(x)= \frac{x^4}{12}+3x^2+x.
The derivative of the first derivative of the given function is known as the second order derivative. We can learn about the slope of the tangent at a particular position or the instantaneous rate of change of a function at that point from the first-order derivative at that point.
F”(x)= x^2+6
F’(x)= \int f"(x) dx
= \int( x^2+6) dx
= \frac{x^3}{3}+6x+c_1 c_1 is the integral constant.
F(x)= \int f\prime(x) dx
= \int f (\frac{x^3}{3}+6x+c_1) dx
= \frac{x^4}{12}+3x^2+c_1x+c_2
(i) if c_1=0 , and c_2=0
F(x)= \frac{x^4}{12}+3x^2
(ii) if c_1=1, and c_2=0
F(x)= \frac{x^4}{12}+3x^2+x
Therefore the two possible functions is F(x)= \frac{x^4}{12}+3x^2 and F(x)= \frac{x^4}{12}+3x^2+x
To learn more about the second-order derivatives visit
https://brainly.com/question/14415022
#SPJ4
What is the inverse of a quadratic called?
Answers
Answer: Square Root Function
The inverse of a quadratic function is a square root function because
in regression analysis, the independent variable is typically plotted on the _____.
Answers
In regression analysis, the independent variable is typically plotted on the x-axis.
The x-axis represents the independent variable or predictor variable, which is the variable that is believed to influence or have an impact on the dependent variable. This variable is typically plotted horizontally on the graph.
For example, let's say we are studying the relationship between the amount of study time and exam scores. In this case, the independent variable would be the amount of study time, which could be measured in hours.
By plotting the amount of study time on the x-axis, we can visually analyze how it relates to the dependent variable, which is the exam scores, typically plotted on the y-axis. This helps us understand the nature and strength of the relationship between the two variables.
So, in summary, the independent variable is plotted on the x-axis in regression analysis.
To Know more about regression analysis here:
brainly.com/question/31538429
#SPJ11
Please hurry final examm i need help
Answers
Answer:
72
Step-by-step explanation:
Multiply 72 by .75 and you get 54
. Four times the sum of 3 and a number is 16. Find the
number.
PLEASE A I NEED IT
Answers
Answer:
x=1
Step-by-step explanation:
it is
Carly works less than 20 hours per week helping her grandfather on his farm. Write and inequality to represent how many hours, h, Carly works on her grandfather’s farm each week
Answers
the answer would be h<20 i believe
Step-by-step explanation:
because she works less than 20 hours
Answer:
55
Step-by-step explanation:
55
One of the solutions to x^2 – 2x – 15 = 0 is x = -3. What is the other solution?
x = -5
x = -1
x = 1
x = 5
Answers
Answer:
work is shown and pictured
Is 1 3/23 a rational number
Answers
Answer:
Yes
Step-by-step explanation:
In mathematics rational means "ratio like." so a rational number is one that can be written as the ratio of two integers. 1 3/23 can be converted into 26/23, which is a ratio, therefore, 1 3/23 is a rational number.
Hope this helps!
The 4 point FFT of the sequence x4[n] = [1 0 0 0] is X4[k] = [1 1 1 1]. The 8 point FFT of the sequence x8[n] = [1 0 0 0 0 0 0 0] is X8[k] = [1 1 1 1 1 1 1 1] . Interpret the results and discuss what would happen if you took higher point DFT of the value 1 at n=0 followed by 15 zeros and why? Hint δ[n]= 1 when n= 0 and 0 otherwise.
Answers
The interpretation of the given results is that the original sequences x4[n] and x8[n] contain all frequency components. Taking a higher point DFT of a rectangular pulse with the value 1 at n=0 followed by zeros would also result in all frequency components being present in the spectrum.
The given sequences x4[n] and x8[n] consist of a single non-zero value followed by zeros. When applying the Fourier Transform to these sequences, we observe that the resulting spectra X4[k] and X8[k] have all their coefficients equal to 1. This means that all frequency components are present in the original sequences.
If we were to take a higher point DFT of the value 1 at n=0 followed by 15 zeros, the resulting spectrum would have the same behavior. All the coefficients would be equal to 1, indicating the presence of all frequency components.
This is because the value 1 at n=0 followed by zeros forms a rectangular pulse in the time domain. The Fourier Transform of a rectangular pulse is a sinc function, which has non-zero values at all frequencies.
To know more about sequences visit:
brainly.com/question/30262438
#SPJ11
Find a so that the graph of f(x)=loga x contains the point (14,4)
Answers
Okay, here we have this:
Considering the provided information we obtain the following when we replace the point in the function:
\(\begin{gathered} y=\log _ax \\ 4=\log _a14 \end{gathered}\)Now, let's solve for a:
\(\begin{gathered} 4=\frac{1}{\log_{14}\left(a\right)} \\ 4\log _{14}\mleft(a\mright)=1 \\ \log _{14}\mleft(a\mright)=\frac{1}{4} \\ a=\sqrt[4]{14} \end{gathered}\)Finally we obtain that a is equal to ⁴√14. We can check it in the following graph resulting from the function:
Monica and Lucy are participating in a scavenger hunt. The number of items Monica found is 7 more than I the number of items Lucy found. The number of items Monica found is at least 17. A. Lucy found x items. Write an expression to represent how many items Monica found. Then complete the sentence about the number of items.
Answers
Answer:
24
Step-by-step explanation:
Let's use the variable "x" to represent the number of items Lucy found.
The expression to represent the number of items Monica found can be written as:
Monica's items = x + 7
Based on the given information, we know that Monica found at least 17 items. So, we can write the following sentence:
Monica found at least 17 + 7 = 24 items.
Therefore, the completed sentence about the number of items is:
Monica found at least 24 items.
Which table of values represents exponential decay?
Answers
The table of values that represents exponential decay is (c)
How to determine the table of values represents exponential decay?From the question, we have the following parameters that can be used in our computation:
The table of values
An exponential function is represented as
y = abˣ
Where
Rate = b
When the rate is less than 1, then the table represents a decay
i.e when y reduces as x increases
The table that has the above features is the table (c)
Read more about exponential function at
brainly.com/question/2456547
#SPJ1
plz help me help me i need help badly
Answers
Answer:
The answer is D
Step-by-step explanation:
One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack, Queen, and King only)?
A. 1/13
B. 1/4
C. 9/52
D. 3/13
Answers
Answer:
D, 3/13 simplified from 12/52
Step-by-step explanation:
the reason that it would be 3/13 is because its simplified from 12/52, which is 12 of the possibly of face cards over 52 the amount of cards in the deck, so the possibility was 12/52, but simplified would be 3/13 ! love you !
BE SAFE !!!! HOPE THIS HELPS!!!!
<3 <3 <3 <3 <3
The probability that the card drawn is a face card is 3/13.
Option D is the correct answer.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
There are 3 face cards.
Number of jack = 4
Number of queen = 4
Number of king = 4
Total number of cards = 52
The probability that the card drawn is Jack.
= 4/52
The probability that the card drawn is Queen.
= 4/52
The probability that the card drawn is King.
= 4/52
The probability that the card drawn is a face card.
= 4/52 + 4/52 + 4/52
= 3 x 4/52
= 3 x 1/13
= 3/13
Thus,
The probability that the card drawn is a face card is 3/13.
Learn more about probability here:
https://brainly.com/question/14099682
#SPJ2