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.
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.
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.
To know more about algebraic equation
https://brainly.com/question/4344214
#SPJ2
Fill in the blanks: In similar figures, the shapes are __________, angles are ___________, and sides are ____________.
Answer:
I think it is similar, congruent, proportional
Step-by-step explanation:
Write the volume of a cylinder with a base radius of 3 m and height of 8 m in terms of pi.
Answer:
Volume=
Step-by-step explanation:
The volume in terms of pi is 226.195 :)
Derek's salary will increase 8% next year. If he currently makes $40,000, how much will he make next year?
Answer:
43,200
Step-by-step explanation:
4y (4y - 4) - 4 (-4 + 5 + 4y²)
please simplify <3
Answer:
16y - 4
Step-by-step explanation:
4y(4y - 4) - 4(- 4 + 5 + 4y^2)
16y - 16y - 4(1 + 4y^2)
16y - 16y - 4(4y^2 + 1)
16y^2 - 16y^2 + 4
16y - 4
For 20 points, Round each mixed number to the nearest whole number. Then, estimate the quotient. 24 16/17 devided by 4 8/9
Answer:
you would round up because 24 16/17 is closer to 25 and 4 8/9 is closer to 5.
which would be 25/5 which estimates to 5.
Step-by-step explanation:
Evaluate the expression -x + -x +5y +6y if x = 5 and y = -2
Answer:
The answer is 9,034.
Answer:
Step-by-step explanation:
Plug in x and y first. -5 + -5 + 5(-2) + 6(-2). -5 +-5= -10. -10 + 5(-2) + 6(-2). 5 times negaitve 2 is -10 and 6 times negaitve 2 is negative 12. -10 + -10 + -12 =-32
Write the missing exponent.
Answer:
blue is 3 red is 2 red is one and yellow is 4
Step-by-step explanation:
its pretty obvious
What is the solution of the system of equations?
Answer: y=-x+5
x = 5
Is it that ⅖-¾=¼+2/5
helphelphelp please!!!!!!!!!!!!!!!!!!!!!!
Answer:
cheryl
Step-by-step explanation:
Answer:
PRT B: Cheryl owes the bank more because the absolute value of -3.00 is 3.00, and the absolute value of -2.75 is 2.75 and 3 is greater than 2.75
Step-by-step explanation:
Dont know how i do part A
heyy press this question! i need help, this not the last question, i have like 4 mores sooo...
Answer:
54619.875 or 55,000
Step-by-step explanation:
5020 times 9.9 is 49698
1575 times 3.125 is 4921.875
49698 plus 4921.875 is 54619.875
Answer:
A. 50,00 pounds
Step-by-step explanation:
4,921.875+49,698=54,619.875 Round down to 50,000.00
A study of a population of 1,200 frogs revealed that 12 out of every 180 frogs in the population have spots on their back. Based on the results of this study, how many frogs in the population do NOT have spots on their back? (probability)
Answer:
Step-by-step explanation:
80 out of 1200 frogs in the population have spots.
Which statement is true about the result of a rigid transformation?
A) The pre-image will be congruent to the image.
B) The image will be larger than the pre-image.
C) The pre-image will be larger than the image.
D) Each one is unique; no general statement can be made about size.
Select all that apply.
Which of the following are equivalent ratios?
Answer: a c d この質問は持っているか、尋ねさえしました
Step-by-step explanation:
4.36 divided by 5.....
help i need somebody to help
Answer:
she selling five dollars
Step-by-step explanation:
Kimberly cuts 6 pieces of tape, each 4/5m long, from a roll of tape 5 m long. how many meters of tape are left in the roll?
Answer:
Kimberly would have 1/5m of the tape left in the roll.
Step-by-step explanation:
Multiply 4/5 by 6 then subtract that answer from 5m.
To check the problem we substitute the value of x back into the original problem and solve. Which of the following is correct for checking?
3(5) = 15
15 / 3 = 5
Describe the difference between total surface area and lateral surface area
Answer:
The total surface area of a solid is the sum of the areas of all of the faces or surfaces that enclose the solid, the lateral surface area of a solid is the surface area of the solid without the bases
Answer:
The lateral surface of an object is the area of all the faces of the object, excluding the area of its base and top. For a cube, the lateral surface area would be the area of four sides. Total Surface Area (TSA) Total surface area is the area of all the faces including the bases.
Step-by-step explanation:
Richard monitored the temperature outside of his house.
The temperature was –1°C at 1:00 p.m.
The temperature had increased by 3 degrees at 4:00 p.m.
At 11:00 p.m., the temperature had dropped by 4 degrees.
What is the temperature outside Richard’s house at 11:00 p.m.?
Answer:
it would be 29 degrees Fahrenheit
Step-by-step explanation:
it says Celsius you convert it into farenheit and then add and subtract I'm 90% sure this is right
Answer:
I think -2°C is the right answer...
Please Mark me as a brainlist
PLEASE HELP! 10 Points!!
help me please, picture provided
Answer:
$1.50/hour
Step-by-step explanation:
6 ($$) divided by 4 (hours) is 1.5 dollars/hour.
This was due 12 minutes ago but whatever
Answer:
(5 to the power of 2 - 8)x2
Step-by-step explanation:
Partheis
exponents
multiplication/division
addition/subtaction
if you follow this order (PEMDAS) to solve the problems they all equal 16 excpet the last one
Answer:
the second one because 5^2-(8x2) the simply expression would be 400 when the rest are 9 so that's my reasoning :)
Step-by-step explanation:
hope that helps.
Here is an equation: 4x - 4 = 4x + _____. What could you write in the blank so the equation would be True for all values of x.
o -7
o -4
o 4x
o 19
o 2x
oh christmas tree oh christmas tree
Answer:
-4
Step-by-step explanation:
4x - 4 = 4x + ___
The answer would be -4. It would be equal becuase the right side would be 4x + (-4) which is the same as 4x - 4. I hope this helped you!
1 2/3-3/4=
plz answer
BRAINLIEST
Answer:
-6
Step-by-step explanation:
Answer:
(11/12) please give me brainliest
Step-by-step explanation:
I need some assistance. Please someone help.
Answer:
C
Step-by-step explanation:
-2.96 + 4.35 = 1.39
Pls help me and thank you
Answer:
5 im pretty sure
Step-by-step explanation:
Jack needs 22 pirates for every 2 pirate ships he manages.
Answer:
55, 121
Step-by-step explanation:
2*2 =4
22*2=44
but 4 is not the number we need and 4 is one less so we divide 22 by 2 and get 11 so 44+11=55
thats the first box.
The second box is 55*2+11 which is 121
55:is the first box
121 is the second empty box
The ratio of men to women working for a company is 3 to 5. If there are 232 employees total, how many women work for the company?
Answer:
145 women
Step-by-step explanation:
Answer:
145 women
Step-by-step explanation:
[tex]\frac{5}{8} = \frac{x}{232}[/tex]
5 = women
8 = total (3+5, men + women)
x = total women
232 = total employees
232 X 5 = 145