Ben is 3 times as old as Daniel and is also 4 years older than Daniel. How old is Daniel?
1. Ben is 3 times as old as Daniel and is also 4 years older than Daniel. How old is Daniel?
Algebraic expressions
Algebraic equations consist of several terms with mathematical operations. Mathematical statements can be expressed in algebraic equations. Solving the linear equation will give Daniel's age 2.
Further explanationAlgebraic expressions in mathematics are a combination of coefficients, numbers, variables, constants, and arithmetic operations such as addition, subtraction, multiplication, and division.
The main composition of algebraic expressions are:
1. phrasesalgebraic forms separated by arithmetic operations
consists of one phrase (monomial) to many phrases (polynomial)
2. variableis a value that can be changed, can be in the form of letters, for example, x, y, a, b, etc.
3. constantsis a fixed value, can be a number
4. arithmetic operations ⇒ +, -,:, xCalculation operations include multiply, divide, add, subtract, etc.
Given
Ben is 3 times as old as Daniel
Ben also 4 years older than Daniel
Required
Daniel's age
Solution
We state in Algebraic expressions :
Daniel's age = x
Ben's age = 3x or 4 + x
So that we can make the linear equation :
3x = 4 + x ⇒combine like terms
3x - x = 4
2x = 4
x = 2
Daniel's age = 2
Ben's age = 3.2 = 6
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2. Kevin is 4 times as old as Daniel and is also 6 years older than Daniel. How old is Daniel?
Set up a system of equations on the stuff that you know:
K=Kevin D=Daniel
Kevin is 4 times the age of Daniel and 6 years older than Daniel, so make the system of equations
K=4D and K=D+6
and make them equal to each other.
4D= D+6
-D -D
3D/3= 6/3
D= 2
Check your work: since 2+6 is 8, and if you put in 8 for K and 2 for D in the K= 4D equation, it makes a true statement.
3. Who is Daniel? Based on Daniel 1:1-6
Danielle is the French female variant of the male name Daniel, meaning "God is my judge" in the Hebrew language. The name appears in the Bible, where Daniel survives a night in a den of lions.
4. Ben is 20 years older than Daniel. Ben and Daniel first met two years ago. Three years ago, Ben was 3 times as old as Daniel. How old is Daniel?
Answer:
33 is Ben and 13 is Daniel.
Step-by-step explanation:
I did Trial and Error
33 13 (now)
30 10 (3 years ago) --> Ben is thrice as old as Daniel.
So, correct!
5. Kevin is 33 times as old as Daniel. 44 years ago, Kevin was 55 times as old as Daniel.
Age of Daniel, x
Age of Kevin, 33x
33x - 44 = 55(x - 44)
33x - 44 = 55x - 2,420
33x - 55x = 2,420 + 44
- 22x = - 2,376
22x = 2,376
x = 108
33x = 3,564
Daniel is 108 yrs old while Kevin is 3,564 yrs old.
To check
44 yrs ago, Daniel was 64 and Kevin wad 3,520 yrs old.
3564 - 44 = 55(108 - 44)
3,520 = 55(64)
3,520 = 3,520
6. Kevin is 3 times as old as Daniel. 4 years ago, Kevin was 5 times as old as Daniel. How old is Daniel now?
Kevin's age = 24
Daniel's age = 8
Further ExplanationOne variable linear equation is an equation that has a variable and the exponent number is one.
Can be stated in the form:
[tex]\large {\boxed {\bold {ax = b}}[/tex]
or
ax + b = c, where a, b, and c are constants, x is a variable
Whereas the two-variable linear equation is a linear equation that has 2 variables and the exponent is one
Can be stated in the form:
[tex]\large {\boxed {\bold {ax + bx = c}}}[/tex]
x, y = variable
In the statement of the task:
Kevin is 3 times as old as Daniel.
Let Kevin = K, Daniel = D
then the age comparison :
K = 3D ⇒ equation 1
4 years ago, Kevin was 5 times as old as Daniel
then the equation becomes
K-4 = 5 (D-4)
K-4 = 5D-20
K = 5D-16 ⇒ equation 2
Both of these equations are equations that have 2 variables, so the solution can be used in 3 ways:
1. graph system
the solution is the intersection point of the two equations / lines.
2. substitutionthe solution is we change one variable into another variable form of an equation, then substitutes that variable in another equation
3. eliminationthe solution is to eliminate one variable from the equation system.
to determine the variable x we eliminate the variable y first, or vice versa.
We use the second method: substitution
we substitute equation 1 into equation 2:
[tex]\rm 3D=5D-16\\\\2D=16\\\\D=\boxed{\bold{8}}\\\\K=3\times 8=\boxed{\bold{24}}[/tex]
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7. Daniel is another man in the Bible who, like Joseph,was asked to interpret a dream.In Daniel 2:1-45 compare and contrast the experience of Daniel and Joseph
Answer:
ACTIVITY No.1 Check the columns to compare the cumamela wito
flowers. Do they have the same parts?
Name of Anther Filament stigma Style Ovars
Plant
Gumamela
Santan
Rose ɢʀᴇᴀᴛ ᴊᴏʙ
Explanation:
ɪᴍ sᴏ sᴏʀʀʏ ɪ ɴᴇᴇᴅ ᴘᴏɪɴᴛs
8. describe how Daniel's three friends demonstrated faithfulness to God during a dangerous situation. (Daniel 1-3).In chronological order,list the six most important events in the lives of Daniel's three friends
Answer:
They didn't bow down to the graven images of Nebuchadnezzar
9. Please help.. The ratio of the number of cards Daniel had to the number of cards Sam had was 5:6. After Sam gave 1/3 of his cards to Daniel, Daniel had 42 cards. How many cards did Daniel have at first?
Let 5x - number of cards Daniel had at first.
6x - number of cards Sam had
Sam gave 1/3 of his cards
5x + (1/3)6x = 42
5x + 2x = 42
7x = 42
x = 6
Therefore, 5x = 5(6) = 30 is the number of cards Daniel had at first while Sam has 36. Sam gave 1/3 of his cards which is 12 to Daniel. Daniel has 42 cards now.
The answer to the question is 30 cards.
I hope I got it right.
10. He asked Daniel to bring him the gift. * A. "Daniel, bring me the gift," he asked. B. "He asked, Daniel bring me the gift. C. "Daniel, bring me the gift," asked him. D. "Bring me the gift," Daniel said. Real answer please
Answer:
d. "bring me the gift" daniel said
Answer:
I think po B
B. "He asked, Daniel bring me the gift.
Explanation:
i hope it helps
pa follow
pa brainliest narin❤
11. Kevin is 3 years older than Daniel. Two years ago, Kevin was 4 times as old as Daniel.
Hi, I hope this will help you
Kevin's present age is 6 years old
and Daniel present is 3 years old
12. john, llyod, and danielle are to be arranged in a line from left to right. but danielle wants to be placed on the left side. permutation
Answer:
Learning Task 4: Story Reading “SITIO KATAMAKAWAN”
“Sitio Katamakawan” is a community of lazy and gluttonous people. They sit or lie all day and eat everything on their mouth desires. Each family has a housemaid to take care of all the household chores. The children of this community are addicted to playing computer games although they maintain their passing grades. They are not allowed to play outside to prevent accidents. Most of the time, the teenager surf the internet. Most of the parents are overweight because after their work, they watch television while having night snacks. Some men are into smoking and drinking alcohol.”
Answer the following questions:
Would you like to live in this community? Why?
Which health dimensions are sustained, and do the people live a physically active and healthy lifestyle?
What are the possible diseases the people of this community might have?
What are the risk factors of these diseases?
If you were a friend of one of the members of this
community, what would you advise her/him to achieve fitness?
What are the advantages and disadvantages of media and technology to our health?
What recreational physical activities can you suggest to the children, teenagers, and adult members of Sitio Katamakawan
13. Ben is 20 years older than Daniel. Ben and Daniel first met two years ago. Three years ago, Ben was 3 times as old as Daniel. How old is Ben now?
let x - Ben
y - Daniel
x = y + 20
x - 3 = 3 ( y - 3 )
x = 3y - 6
Substitution
y + 20 = 3y - 6
2y = 26
y = 13
x = 13 + 20
x = 33
Ben is 33 years old
14. Kevin is 3 years older than Daniel. Two years ago, Kevin was 4 times as old as Daniel. How old is Daniel now?
The answer is: 3 years old
Given:
- Kevin is 3 years old older than Daniel- 2 years ago, Kevin was 4 times as old as Daniel
Question: How old is Daniel now?
Solution:
Let k = Kevin's current ageLet d = Daniel's current age Equation 1: k = d + 3 Equation 2:
k-2= 4 (d) k-2 = 4 (d)
(d+3) - 2 = 4d
2d+6=4d4d-2d=62d=6d=6/2d=3
15. Kevin is 3 years older than Daniel. Two years ago, Kevin was 4 times as old as Daniel. How old is Daniel now?
Define x:
Let Daniel be x years old
Kevin = x + 3
Express their age 2 years ago:
Daniel = x - 2
Kevin = (x + 3) - 2 = x + 1
Solve x:
Kevin was 4 times as old as Daniel:
x + 1 = 4(x - 2)
x + 1 = 4x - 8
3x = 9
x = 3
Find the age of Daniel:
Daniel = x = 3 years old
Answer: Daniel is 3 years old
Daniel = x
Kevin = x+3
so then
[tex]x+1 = 4(x-2)[/tex]
[tex]x+1= 4x-8\\[/tex]
[tex]3x = 9\\\\x=3[/tex]
therefor
Daniel is 3andKevin is 616. The ratio of the number of cards Daniel had to the number of cards Sam had was 5:6. After Sam gave 1/3 of his cards to Daniel, Daniel had 42 cards. How many cards did Daniel have at first?
Daniel had 30 cards at first
17. the ratio of the number of cards daniel had to the number of cards sam had was 5:6 after sam gave 1/3 of his cards to daniel daniel had 42 cards how many cards did daniel have at first?
Answer:
The answer is 30. I use 30 and 36 to fit their ratio at first.
18. Ben is 20 years older than Daniel. Ben and Daniel first met two years ago. Three years ago, Ben was 3 times as old as Daniel. How old is Daniel now?
Answer:
Daniel is 13 years old.
Step-by-step explanation:
First we don't need all the info we don't need the fact that they meet 2 years ago.
Then we take the info we do need and make an equation.
3x = x + 20
2x = 20
x = 10
So Daniel was 10 years old and Ben 30 now Daniel is 13 and Ben 33.
19. Kevin is 3 times as old as Daniel. 4 years ago, Kevin was 5 times as old as Daniel.How old is Daniel now?
Answer:
Daniel is 8 years old now.Step-by-step explanation:
Present ages:
Daniel: x
Kevin: 3x (three times as old as Daniel)
Ages 4 years ago:
Daniel: x - 4
Kevin: 3x - 4
Four years ago, Kevin was 5 times as old a Daniel:
3x-4 = 5(x-4)
Find x, the present age of Daniel:
3x - 4 = 5x - 20
5x - 3x = 20 - 4
2x/2 = 16/2
x = 8 Daniel's present agePresent ages:
Daniel : x = 8 years old
Kevin: 3x = 3(8) = 24 years old
Daniel is 8 years old now.Check:
Ages 4 years ago:
Daniel: 8-4 = 4 years old
Kevin: 24-4 = 20 years old
Four years ago, Kevin was 5 times as old a Daniel:
20 = 5(4)
20 = 20 (True)
20. Ben is 3 times as old as Daniel and is also 4 years older than Daniel.
Answer:
Ben Is 6.Daniel is 2.Step-by-step explanation:
Let B be the age of Ben and
let D be the age of Daniel.
B = 3D (equation 1)
B = D+4 (equation 2)
Set these two expressions equal to each other:
3D = D + 4
3D - D = 4
2D = 4
2D/2 = 4/2
D = 2
Substitute D = 2 into either of the above equations:
B = D + 2
B = 4+2
B = 6
Daniel is 2 years old and Ben is 6#CarryOnLearning
#AnswerForTrees
21. ben is 3 times as old as daniel and is also 4 years older then daniel . how old is ben?
Answer:
24
Step-by-step explanation:
22. JACK DANIELJACK DANIELTexasWHALETWIBRARYWiskukind of beverages
Answer:
GOD IS GOOD AL THE TIME :P23. Kevin is 3 times as old as Daniel. 4 years ago, Kevin was 5 times as old as Daniel. How old is Daniel?
Answer:
8 years old.
Step-by-step explanation:
x=Daniel's age
3x=Kevin's age
4 years ago
5(x-4)=3x-4
5x-20=3x-4
5x-3x=-4+20
2x=16
x=8
therefore, Daniel's age is 8.
24. daniel,who is the president of the class,________2.daniel, together with other class other class offices,______3.daniel, one of the great leaders,_______➪pakisagot po please please please
Answer:
️Moderator Answer
roomof roomin classroomExplanation:
we all take pride in our Filipino culture Our culture provides us with the beliefs and values that guide us in our everyday actions,interaction, and decision
nasa libro po ya goodbless po
25. Kevin is 3 times as old as Daniel. 4 years ago, Kevin was 5 times as old as Daniel. How old is Daniel now?
8 years old
Solution:
Kevin - 3x
Daniel - x
4 years ago,
Kevin - 3x - 4
Daniel - x - 4
A condition was given that Kevin was 5 times as old as Daniel 4 years ago so,
Kevin - 5( x - 4)
3x - 4 = 5 ( x - 4)
3x - 4 = 5x - 20
20 + 3x - 4 = 5x
20 - 4 = 5x - 3x
16 = 2x
8 = x
Checking:
Kevin - 24 y.o.
Daniel - 8 y.o.
4 years ago,
Kevin - 20 y.o.
Daniel - 4 y.o.
20 = 5(4)
[correct]
26. Which of these situations is an opinion? Daniel rested under the mango tree after helping his father in the farm. Daniel rose up and knock on the trunk of the tree. Daniel was a helpful child. Tare lucky to have Daniel as their son.
Answer:
The 3rd sentence is the correct answer.
27. 5. Daniel is born in the month of January. Her mother believes that the constellations on the sky willguide Daniel in her life and determine her personality. Which of the following statements is true aboutDaniel in the viewpoint of an astronomer?a. Daniel's life and personality is not affected by the constellations in the sky.b. Daniel is guided by the constellation Aquarius, the water bearer.c. Daniel will have positive and cheerful personality like all people who are born in the month.d. Daniel's achievement in life will be guided by her lucky stars.
Answer:
5. A
Explanation:
Hope it helps
28. activity1.Daniel is caught in the rain.He ha sno umbrella.What do you think will happen to Daniel?
for me he will have a fever.
Answer:
Daniel will get wet in the rain and may get sick the next dayExplanation:
Daniel is caught in the rain.He has no umbrella.doum-i doegil balabnida
29. 12. Daniel said that he could speak perfect English.A. "I can speak perfect English," Daniel said.B. "I could speak perfect English," Daniel said.C. "I can talk perfect English," Daniel said.D. "I have talked perfect English," Daniel said.
Answer:
B.Explanation:
because letter B. is the the right answer..oh dba
30. Kathleen and Daniel divided ₱120 in the ratio of 6:4. How much is Daniel's part of the money?
Answer:
12
Step-by-step explanation:
6+4= 10
120 divided by 10= 12
12 x 10= 120
