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## LEARNING TASK 3. What's more: Do it Together Rodalyn can

**Ask: **LEARNING TASK 3. What’s more:

Do it Together

Rodalyn can do a job in 5 days while Apple

can do the same job in 3 days. How long will it take them to do the job if

they work together? Complete the following to solve the problem. a. The part of the job accomplished by Rodalyn on the

first day is . So, the part of the job accomplished

by Apple on the first day is b. If x represents the time it will take them to do the job

together, the part of the job accomplished on the

first day of working together is __ C. Looking at the relationship, we arrive at the

equation:

1 1 1

5’31 d. Solving the rational equation, the value of x is

__.Working together, they can finish the job in__day and_ hours.

Independent Assessment 1

Triangular Kite Marco has a triangular kite. The area of the kite is 320 square centimetres. Let x represent the height of the kite in centimetres, express the base of the kite (B) as a function of height x.

## RATIONAL EQUATION AND FUNCTION

__Problem No. 1:__

Rodalyn can do a job in 5 days while Apple can do the same job in 3 days. How long will it take them to do the job if they work together? Complete the following to solve the problem.

__Solution:__

a. The part of the job accomplished by Rodalyn on the

first day is 1/5. So, the part of the job accomplished by Apple on the first day is 1/3.

b. If x represents the time it will take them to do the job together, the part of the job accomplished on the

first day of working together is 1/x.

c. Looking at the relationship, we arrive at the equation:

⅕ + ⅓ = 1/x

d. Solving the rational equation, the value of x is:

⅕ + ⅓ = 1/x => The LCD is 15x.

15x (⅕ + ⅓ = 1/x)

3x + 5x = 15

8x = 15

x = 15/8 or 1.875 days

Converting 0.875 to hours by multiplying 24 will result to 21 hours.

__Conclusion:__

Working together, they can finish the job in 1 day and 21 hours.

__Independent Assessment 1: Triangular Kite __

Marco has a triangular kite. The area of the kite is 320 square centimetres. Let x represent the height of the kite in centimetres, express the base of the kite (B) as a function of height x.

__Solution:__

**Given: **The area of the triangular kite is 320 cm², so A = 320.

The formula for solving the area of the triangle is A = ½BH where B refers to the base and H refers to the height or altitude.

If we express the base of the kite as the function of its height (x), let us substitute first the given values from above:

A = ½BH

320 = ½BH

2(320 = ½BH)

640 = BH (Let H = x)

640 = Bx

B = 640/x

B(x) = 640/x => Answer

*Read more about rational functions:*

*https://brainly.ph/question/4057895*

**#BRAINLYFAST**

## Directions: Identify the given statements. Choose the correct answer inside

**Ask: **Directions: Identify the given statements. Choose the correct answer inside the text box below.

NOMINATION, TOPIC SHIFTING, TERMINATION, RESTRICTION, TOPIC CONTROL, TURN-TAKING, REPAIR

1. “Okay class! Let’s talk about your sembreak What did you do during your sembreak?”, the adviser asked his students.

2. “Sir Mark, can we just focus on giving productive seminars this coming October?”, he suggested

3. Liz, why don’t we talk about our relationship goals?

4. Bes, can we just not talk about Julia and Bea’s issue. That’s a natural problem when you have a untrustworthy boyfriend.

5. Discussing about our Christmas Party in advance is a great idea.

6.Do you have anything to say?

7. One of the essential lessons I gained from the discussion is the importance of sports and wellness to a healthy lifestyle.

8.Excuse me? I think we should speak one at a time, so we can clearly understand what we want to say about the issue.

9.Go on with your ideas. I’ll let you finish before I say something.

10.Have you heard the news about the

11.Hey! How are you? I missed you! latest achievement of our government?

12. Best regards to your parents! See you around!

13. Good to see you. Anyway, I came to visit you because I want to personally offer apologies for what I did yesterday.

14.Sorry, I can’t decide now. I am still focused on my writing assignment. Let’s talk next time, okay?

15. Now, it’s your turn to ask questions.

**Answer:**

1.nomination

2.termination

3.repair

4.restriction

5.topic shifting

**Explanation:**

sorry po 1 to 5 lang po alam ko ehh

Sana po ma brainlest mo po ako kahit Yan lang po sagot ko pls

## NameSchoolYr. & SectionDateDirections. Read each item carefully and encircle the

**Ask: **Name

School

Yr. & Section

Date

Directions. Read each item carefully and encircle the letter of the correct answer.

1. What do you call a function which occurs between two quantities where one increases when the other

increases and decreases when the other decreases?

a joint variation

b. direct variation c. inverse variation d combined variation

2. To describe the relationships among variables, we use a language known as

a variation

b direct variation c. inverse variation d. joint/combined variation

3. It is a relationship between two variables x and y wherein y decreases as x increases or vice versa

a joint variation

b direct variation c. inverse variation d. combined variation

4. What do you call the variation given the formula d = rt?

a joint variation

b direct variation c inverse variation d. combined variation

5. A kind of variation that involves both the direct and inverse variation

a joint variation

b. direct variation c inverse variation d combined variation

6. “a varies directly as b”

a k = ab

b. a = kb

cb = ka

d. a = b

7. An area A of a rectangle varies jointly as its length L and width W

a A = KLW

b. k = ALW

C L = LAW

d. W = KLA

8.m is inversely proportional to n and m = 1 8 when n = 2.1

a mn = 3.9

b mn = 0 3

c mn = 117

d. mn = 3.78

(For questions #9 – 10)

The number of hours required to finish a certain job varies inversely as the number of persons on the job. If

8 persons require 6 hours to finish the job, how long should it take for 24 persons?

9. What is the value of the constant of variation k?

a. 48

b 24

C 12

d 6

10. If 8 persons require 6 hours to finish the job, how long should it take for 24 persons?

a. 1 hour

b. 2 hours

c. 3 hours

d. 4 hours

11. Which of the following mathematical statements is an example of combined variation, where k is the

constant of variation?

a Y = kab?

b. Y = kab?/c

c. Y = kb2

d. k = a/b

12. If x varies directly as y and inversely asr, then which of the following equations describes the relation

among the three variables x, y and

a x = ky /

b.r = ky/x

c. x = krly

d. x = yli

13. What is the constant of variation the equation n = 8x?

ax

bn

C 8

d. 8x

14. The electric power P varies jointly as the resistance R and the square of the current I can be written as

a P = R12

b. P = RI

c. P = 1/R

d. P = KRI?

15. What happen to D when R is doubled in the equation D = 10R?

a D is tripled

b. Dis doubled

CD becomes zero d. Dis halved

16. The number of cake slices c varies inversely as the number of persons n sharing a whole cake, can be

written as

a. c = kn

b. k = c/n

c. c= k/n

d. n = kc

17. Z varies directly as the square of w and inversely as h can be translated as

a. Z = w/h

b. z = kw/h

c.Z = kwh

18. The area A of a parallelogram varies jointly as the base b and altitude h.

a. A = kbh

b. B = kh/A

CA = bh

d. z = kwh

d. A = kh/b

**Answer:**

1. A

2.C

3.B

4.B

5.C

6.B

7.A

8.B

9.D

10.D

11.C

12.B

13.D

14.B

15.A

16.C

17.A

18.B

## SITUATION: COVID-19 has been shocking the world for over a

**Ask: **SITUATION: COVID-19 has been shocking the world for over a year now. We have been trying to cope with the new normal”. What is making it worst is its fast mutation into new variants, besides the fact the Philippines haven’t finished vaccinating its citizens to a 100% Families have been restricted from doing family activities that are supposed to foster strong family ties and build love and open communication among its members. Even the Christian formation programs and activities conducted by our schools for the students and their families have been restricted to these times of pandemic, our families are our lifeline and life support literally and figuratively. We rely on our families to be our partners in life and in learning, and as a student of a Catholic institution and a member of God’s family.it is expected of us to initiate appropriate actions to make our families like that of the Holy Family As a way of evangelization, share with us how you meet each of the members of the Holy Family throgh your own experiences with your family, and how does know the members of the Holy family affect your personal relationship with your own family? Having all these in your heart, tell us what are the appropriate actions are you willing to initiate to make your family-image the Holy family? Write your answer in the box provided

**Answer:**

it says in the statement that it must be personal experiences, so try thinking of the things you do as a family,conflicts that you have solved together.

**Explanation:**

advise lang po

## COVID-19 has been shocking the world for over a year

**Ask: **COVID-19 has been shocking the world for over a year now. We have been trying to cope with the new normal”. What is making it worst is its fast mutation into new variants, besides the fact the Philippines haven’t finished vaccinating its citizens to a 100%. Families have been restricted from doing family activities that are supposed to foster strong family ties and build love and open communication among its members. Even the Christian formation programs and activities conducted by our schools for the students and their families have been restricted. In these times of pandemic, our families are our lifeline and life support, literally and figuratively. We rely on our families to be our partners in life and in learning, and as a student of a Catholic institution and a member of God’s family, it is expected of us to initiate appropriate actions to make our families like that of the Holy Family. As a way of evangelization, share with us how you meet each of the members of the Holy Family through your own experiences with your family, and how does know the members of the Holy family affect your personal relationship with your own family? Having all these in your heart, tell us what are the appropriate actions are you willing to initiate to make your family”image” the Holy family?

asan tanong? mo. highlands

## Lei can do a job in 5 days while Cath

**Ask: **Lei can do a job in 5 days while Cath can do the same job

in 3 days. How long will it take them to do the job if they

work together?

Complete the following to solve the problem.

a. The part of the job accomplished by Lei on the first day is 1/5 . , So, the part of the job accomplished

by Cath on the first day is _____.

b. If x represents the time it will take them to do the job together, the part

of the job accomplished on the first day of working together is ________.

c. Looking at the relationship, we arrive at the equation: _________________________

d. Solving the rational equation, the value of x is ________.Working together, they can finish the job in

____ day and_____ hours.

**Answer:**

2555 hours a day tama ba?

## 1. What is Environment Philosophy?a. Discipline that studies the moral

**Ask: **1. What is Environment Philosophy?

a. Discipline that studies the moral relationship of human beings with the environment and its non-human

contents

b. Extends intrinsic value and moral, consideration to higher forms of animal

c. Is part of the world, and we significantly affect in environment

d. Significantly role of human kind in the world

2. It believes that humans are not the only significant species on the planet.

a. Anthropocentrism

h. Ecocentrism

c. Ecofeminism

d. Ecology

3. It is the ecological integrity of the humans that provides meaning of our morals and values and it is nature

Centered.

a. Anthropocentric

b. Ecocentrism

c. Ecofeminism

d. Ecology

4. He believes that the orderliness of nature and the harmony of nature with our faculties and attitude

Towards nature guide as towards morally superior.

a. Anaximander

i. Herbert iviarcuse

c. Immanuel Kant

d. Pythagoras

5. According to him that the universe is a center and a living embodiment of natures order, harmony and

Beauty, where planets aligned harmoniously.

a. Anaximander

b. Herbert Marcuse

c. Immanuel Kant

d.Pythagoras

6. He originated the world-picture of the open universe, which replaced the closed universe of the celestial

vault.

a. Anaximander

b. Herbert Marcuse

c. Immanuel Kant

d.Pythagoras

7. He argues that human and natural environment can be created until the real sources of pollution have

been eliminated,” while the, “mental pollution” of consumerism breeds inaction.

a. Anaximander

b. Herbert Marcuse

c. Immanuel Kant

d. Pythagoras

8. He taught that Earth is the center of the universe.

a. Anaximander

b. Herbert Marcuse

c. Immanuel Kant

d. Pythagoras

9. How might an ecocentric person comment in a conversation about climate change?

a. Scientists constantly reverse their findings. I bet they will deny climate change in a few years.’

b We can’t live here anymore. It’s time to find a new habitable planet.’

c. ‘The Earth has always avperienced changes in climate. It has nothing to do with what humans do to the

environment.’

d. ‘We have harmed the planet and caused climate change. We need to fix this problem!’

10. Finish this conversation between an anthropocentric person and an ecocentric person:

Ecocentric: ‘We need to stop the destruction of the rain foresti Species are becoming extinct at an alarming rate!

Anthropocentric:

a ‘I agree! It’s petrifying! What can we do to stop it?’

b We need those resources Not only do we get timber, but also oil and rubber and a number of other thi

С Why don’t we just plant a new rainforest elsewhere?

d ‘Well things change What can we do?’

**Answer:**

1 d 2 b 3 c 4 b 5 b 6 a 7 c 8 a 9 d 10 c

Not only you can get the answer of **is how do we relationship finished**, you could also find the answers of Directions: Identify the, COVID-19 has been, NameSchoolYr. & SectionDateDirections., Lei can do, and LEARNING TASK 3..