Jeff is 4 times older than his daughter. Five years ago he was 9 times older than his daughter. Write an algebraic equation to determine the age of his daughter.

Answers

Answer 1

Jeff is 32, His Daughter is 8

The relationship between the age of Jeff and his daughter can be summarized by the following systems of equation:

Jeff's age = x

Jeff's Daughter's age = y

x=4y    jeffs age is equal to his daughters times four

x-5=9(y-5) jeffs age minus five is equal to his daughters age minus five as well times 9

Combining these equations will get us x=32, y=8.

Answer 2

The algebraic equation 4D - 5 = 9D - 45. The current age of Jeff's daughter is 8 years old.

Let's represent the current age of Jeff's daughter as "D" and Jeff's current age as "J".

According to the problem:

Jeff is 4 times older than his daughter, so we can express this relationship as:

J = 4D

Five years ago, he was 9 times older than his daughter. This means that their ages five years ago are:

(J - 5) = 9(D - 5)

Now, we can write the algebraic equation to determine the age of his daughter (D):

(J - 5) = 9(D - 5)

Since we already know that J = 4D, we can substitute this into the equation:

(4D - 5) = 9(D - 5)

Now, we can solve for D, which represents the current age of Jeff's daughter. Expanding equation:

4D - 5 = 9D - 45

Next, move the variables to one side and the constants to the other side of the equation:

4D - 9D = -45 + 5

Combine like terms:

-5D = -40

Finally, solve for D:

D = -40 / -5

D = 8

Therefore, the current age of Jeff's daughter is 8 years old.

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Related Questions

Which expression is equivalent to 3.6 × 3.6 × 3.6 × 3.6?




A 34 × 64
B 363
C 3.6 × 4
D 3.64

Answers

The answer i believe is C

Answer:

C) 3.6 × 4

Step-by-step explanation:

do 3.6 *3.6*3.6*3.6= 167.9616

and your basically just multiplying 4 times so do 3.6*4

Jerry has 7 3/4 dozen donuts. He purchased another 4.25 dozen donuts. How many dozens of donuts does he have now?

Answers

Answer:

12 dozen

Step-by-step explanation:

Relatively easy stuff, just recall fractionsA dozen means  12he has 7 dozen (7 x 12=84) and 3/4 dozen (3/4 x 12=9) so that's 84+9= 93 donutshe gets 4.25, which is the same as 4 1/4, so its 4 dozen (4 x 12=48) and 1/4 dozen (1/4 x 12=3) so that's 48+3= 51 donutsAdd what you got 93 + 51 = 144 donutsThen divide this by 12 to get the number of dozens144/12 = 12 dozen

Answer:

12 dozens of donuts

Step-by-step explanation:

First, you want to change the decimal into a fraction. The decimal, 4.25, is the same as 4 25/100. You can reduce 4 25/100 to 4 1/4 by diving both the numerator and denomiator by 25.  Now that both of our numbers are fractins, we can just add the fractions up. 7 3/4 + 4 1/4 = 11 4/4 = 12\

Jerry got 12 dozens of donuts.

help please, my parents are mad...

Answers

Answer:

(-5,10)

Step-by-step explanation:

Plug the value of y into the second equation

-3x-5=4x+30

-3x-4x=30+5

-7x=35

x=35/-7=-5

put the value of x into any of the equations

y=-3(-5)-5

y=15-5=10

(-5,10) Should be the correct answer sorry if I’m wrong.

help! Container ships sail all over the world to deliver cargo from port to port. Even though such ships can
weigh as much as 400,000 tons, they stay afloat because of the buoyant force exerted on them by the
water.
Below is a diagram of a container ship floating in the water. Its weight is represented by a downward
arrow and a negative number because the weight exerts a downward force on the boat. The buoyant
force of the water balances out the weight of the ship, so the ship can float. Describe an arrow that
would represent the buoyant force. What value should be associated with this arrow? Explain how this
situation relates to the concept of combining a number with its additive inverse.

Answers

Answer:

An object that weighs 100 tons and is floating is displacing exactly 100 tons of the fluid, and the buoyant force on it is 100 tons. The vertical forces on it are balanced (add up to zero), and that's why it isn't accelerating up or down.

Step-by-step explanation:

Correct me if im wrong

Can someone please help

Answers

Answer:

32x + 80 = y (Question 10)

240 (Question 11)

Answer:

Retake the pictures they’re blurry

Step-by-step explanation:

If 3a + b + c = -3, a+3b+c = 9, a+b+3c = 19 find a*b*c

Answers

Answer:

a=-4

b=2

c=7

so therefore a*b*c=-4*2*7

CAN SOMEONE PLEASE HELP ME WITH THESE!!!

Answers

Answer:

for the first pic

1=133

2=47

3=47

4=133

5=133

6=47

7=47

8=133

the next pic

2,3 is a corresponding angle

1,2 is a verticle angle

the third pic

1=153

2=27

Step-by-step explanation:

Idek

Sorry
And I’m just answering for the person who posted can give brainlist to the other person
So hopes this helps

The figure below shows the quotient of Fraction 2 over 5 divided by Fraction 1 over 10.

Answers

Answer:

3

Step-by-step explanation:3

2/5 / 1/10

2/5*10/1= 20/5

The figure below shows three quadrilaterals on a coordinate grid:

A coordinate grid is shown from positive 8 to negative 8 on the x-axis and from positive 8 to negative 8 on the y-axis. An image of a rectangle labeled P is shown on ordered pair negative 1, negative 1 and negative 3, negative 1 and negative 3, negative 2 and negative 1, negative 2. Another image of a rectangle labeled Q is shown on ordered pair negative 2, negative 2 and negative 6, negative 2 and negative 6, negative 4 and negative 2, negative 4. Another image of a rectangle labeled R is shown on ordered pair 1, 1 and 1, 2, and 3 , 2 and 3, 1.

Which of the following statements is true about the three quadrilaterals?

Q and R are similar and congruent.
Q and P are similar and congruent.
P and R are similar but not congruent.
P and Q are similar but not congruent.

Answers

Answer: con

Step-by-step explanation:

Michael is doing an underwater handstand. His feet are sticking up 0.5 meters above the surface of the water. Michael's hands are 1.8 meters directly below his feet.

What is the position of Michael's hands relative to the surface of the water?

Group of answer choices
A. 1.8 meters

B. 1.3 meters

C. 0.5 meters

D. -0.5 meters

E. -1.3 meters

F. -1.8 meters

Answers

Answer: 1.3 Meters or B

Step-by-step explanation:

To answer this question, it must be noted first that the reference points of the given distances in this item is (1) the surface of the water and (2) the feet. We are given with the distance from the hand to the feet, 1.8 m, and from the feet to the surface of the water, 0.5 m. To get the distance from the hands to the surface of the water, we just have to subtract the given distances giving us an answer of 1.3 m.

Answer:

e. -1.3 meters

Step-by-step explanation:

subtract 1.8 by 0.5 and you get 1.3 since youre below water level youd put - in front of 1.3 since its negative

need help! pls and thank youu...

Which sequence of transformations creates a similar, but not congruent, triangle?

A) Rotation and translation
B) Reflection and rotation
C) Dilation and rotation
D) Translation and reflection

Answers

Answer:

C) Dilation and rotation

Step-by-step explanation:

Dilation changes the size of the shape (how big or small the shape is), rather then changing the shape itself (into a completely different shape). The other options are transformations, but they only move the shape along the graph, nothing else.  Hope this helps!

Solve the following equation with Rational Coefficients. Round the answer to the nearest tenths if necessary. 1.2y=15

Answers

Answer:

I am sorry, I do not know what Rational Coefficients are but y=12.5.

Step-by-step explanation:

If you have 1.2y=15 then you divide both answers by 1.2 and then you get y=12.5. Hope this helps, Let me know if correct!!

helppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

E

Step-by-step explanation:

I guess po.........

........

E I think is the answer

x+2⦁4=20
thanks i need it for notes!!!

Answers

Answer:

X+2⦁4=20

Step-by-step explanation:

2 times 4 which is eight, then subtract eight from 20. your answer is 12

X=12

So In your notes write

First you Mutiply the two factors 2 & 4, and then since eight is positive you will subtract it from the eight and the twenty. Youre left with X=12

Brainly Im back after like 30 minutes of my dad trying to explain and saying "thats f-ed up"

Like he said, don't just give me the answer. Explain it to me.

Here is an equation: 4x - 4 = 4x + _____. What could you write in the blank so the equation would be True for no values of x.


o 4x

o -7

o 19

o 2x

o -4

Answers

I believe it’s -4 hope I helped u

PLZ HELP I SUCK AT MATH

Answers

Answer:

y = − x/3 +8

i think, hopeful i helped

Y= -x/3 +8 jdjddjdjdjjdjdndnf

In one day, the cell phone store sold 14 phones per hour. There are 8 hours in the business day. How many phones were sold on this day?

Answers

Answer:

112 phones sold

Step-by-step explanation:

14x8=112

Hope this help:)

14x8= then you can get 112 EASSYYY PZ

QUESTION IS BELOW!!!!!!!!!!!!!!

Answers

Does Not Support
Does Support
Does Support

HOPE THIS HELPS!

Answer:

right left left

Step-by-step explanation:

Emily loves baking cookies. She baked some cookies to bring in for her class. Her dog jumped on the counter and ate 6% of the cookies. If he ate 12 cookies, how many cookies did Emily bake?

Answers

Answer:

12.06

Step-by-step explanation:

If emily's dog ate 6% of the cookies and theres 12 left

You need to add 6% and 12

That leaves you with a sum of 12.06

Answer:

120!

Step-by-step explanation lol i used a thing callled ggoogle and calculator!

helpppppppppppppppppppppp plzzzz do 4 and 5

Answers

Answer:

the question???? where is the question???

Find the length of the segment. Write the mixed number in its simplest form.

3 1/2 in.

3 3/4 in.

3 5/8 in.

3 11/16 in.

Answers

answer is 3 5/8 in. i hope i helped u :)

Answer:

3 5/8

Step-by-step explanation:

The line is the 3 1/2 line and 3 3/4 lines. Inbetween that is what you are looking for.

b. Write a division equation that represents the question: how many 3/8s are in 5/4?

please answer ASAP (i need the equation and anwser)

Answers

Answer:

3/8 * 4/5 = 3/10

Step-by-step explanation:

Keep change flip. If you multiply 3/8 by 4/5 you get 12/40 and if you simplify you get 3/10. 0.3 as a decimal. Hope this helps let e know if correct!!

Answer:

3/8 * 4/5 = 3/10

Step-by-step explanation:

Hope this helps

The floor plan for Jacob's living room is shown below.

What is the area, in square feet, of Jacob's living room?

129


114


181


144

Answers

Answer:

The answer is 129

Step-by-step explanation:

Express 60% as a decimal
a. 0.4 b. 0.06 c. 0.65 d. 0.6 please explain

Answers

Answer: D. 0.6

Step-by-step explanation:

y=5/2x−8
−5x+2y=−16


How many solutions does this linear system have?


one solution: (0, –8)

infinite number of solutions

no solution

one solution: (2, -3)

Answers

One solution: (0,-8) is the answer
The answer will be 0,-8

Which statement is true about the value of the expression below?
(-2^3)^-2
Answer Options:
It is less than -1.
It is between -1 and 0.
It is greater than 1.
It is between 0 and 1.

Answers

Answer:It is between one and zero

Step-by-step explanation:

Answer:

0.015625 so this is between zero and 1

Step-by-step explanation:

put these fractions in order from least to greatest: 2/3, 1/4, 3/8

Answers

Answer:

1/4 is smaller than 3/8, 3/8 is smaller than 2/3

I NEED HELP ON THIS MATH PROBLEM


What is the output of y=6x−11 when the input is 5?
Enter your answer as a number, like this: 42

Answers

X=2 because if you substitute y for 5 and solve you get this answe

Answer:

19

Step-by-step explanation:

y=6x-11

y=6*5-11

y=30-11

y=19

CHECK:

19=6*5-11

19=30-11

19=19

why can't 5√2x be simplified?

Answers

Answer:

You can't simplify 5√2

The radical of 2 cannot be simplified.

It doesn't matter that there's a variable, the coefficent cannot be simplified anymore.

The 2x can’t be simplified which means it’s fully simplified

Rapid Rental Car charges a $45 rental fee, $15 for gas, and $0.75 per mile driven. For the same car, Capital
Cars charges $40 for rental and gas and $0.85 per mile.
Part 1 out of 2
For how many miles is the rental cost at both companies the same?
The rental costs at both companies are the same at|
Check
miles.

Answers

Your total cost will be 80

at 100 miles the costs are the same
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