Eli is now one quarter of his father's age. In 5 years time his age will be one third of his father's age. How old is Eli now

Answers

Answer 1

Answer:

20 years old

Step-by-step explanation:

Answer 2

The age of Eli would be 20 years old

What is a numerical expression?

A numerical expression is an algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.

Consider E and F represent Eli and his Father's current ages.

We are told that E = (1/4)F.  

Eli is now one quarter of his father’s age.

But in 5 years, that will be:

(E+5) = (1/3)(F+5)      

In 5 years’ time his age will be one third of his father’s age.

We have two equations and two unknowns.  

To Find a way to eliminate one of the two variables and then solve for the remaining variable.

E = (1/4)F

(E+5) = (1/3)(F+5)

This seems to me the easiest would be to use the first equation's definition of E [=(1/4)F] in the second equation:

(E+5) = (1/3)(F+5)

((1/4)F+5) = (1/3)(F+5)

(1/4)F - (1/3)F = (1/3)*5 - 5

F - (4/3)F = (4/3)*5 - 20

-(1/3)F = (20/3) - (60/3)

-(1/3)F = (-40/3)

F = (120/3)

F = 40 years

E = 10 years  (based on E = (1/4)F)

In five years, F is 45 and E is 15, that would make Eli  1/3 of his father's age in 5 years.

To know more about an expression follow;

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Related Questions

Find the value of x. Round to the nearest tenth.

Answers

Answer:

9.8

Step-by-step explanation:

12x cos(35) = 9.8

How do I solve this? Please give answer m

Answers

Answer:

a

Step-by-step explanation:

Answer:

Step-by-step explanation:

Tamara looked at the expression 35 + z < 59. She believes that z can equal more than one value.

Answers

Answer:

z<24

Step-by-step explanation:

It can't be more than one value. All you do is subtract 35 from both sides to isolate z.

Hope this helped!

Answer:

Tamara is correct here. With the expression: 35 + z < 59, Some examples could be; 10,20,15,21,22,23,24, or really anything under the number 24 will be acceptable for this expression to be true.

Step-by-step explanation:

Hope that this helps! :)

Can 65536 be simplified to the 2nd power if so what is it?

Answers

Answer:

Yes; 256

Step-by-step explanation:

Take the square root of 65536

[tex]\sqrt{65536} = 256[/tex]

256 to the power of 2 = 65536

Answer:

             

Step-by-step explanation:

                                                               

PLS HELP i will give brainliest

Answers

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[Content Deleted]

You find that the average number of pets owned by students is 3.4, with a standard deviation of 1.2 If the distribution was not normally distributed, how many animals do 75% of students own?

Answers

Answer:

Step-by-step explanation:

Tyrone ordered the same meal 3 days in a row. He paid a total of $12.06 for these 3 meals. How much did Tyrone pay for each meal?
$15.06
$9.06
$4.20
$4.02

Answers

Answer:

$4.02

Step-by-step explanation:

since he bought the same meal for 3 days, that means he payed the same amount every day for 3 days. the total is $12.06, so if u divide the total by 3, you will get how much he payed for one meal.

Which set of numbers is in order from least to greatest
The first one who answers gets brainiest and 46 points, second one who answers will just get 46 point. ARE YOU READY, SET, GOOOOOOOOOOOO
A. 10.8, 10.6, 10.55, 10.2
B. 10.2, 10.55, 10.6, 10.8
C. 10.6, 10.55, 10.8, 10.2
D. 10.2, 10.6, 10.8, 10.55

Answers

Answer: b

Step-by-step explanation:

because im batman im awesome i got a nine pack its awesome

Please help asap 20 points

Answers

Answer:

5.3

Step-by-step explanation:

(4x_2.6). 21.2x+= Mc²

21.2x + c = 5.3(4x - 2.6)
21.2x + c = 21.2x - 13.78
c = -13.78

Hiiioo can you help me please?❤️:D

For a regular polygon with 3 sides, each interior angle has a measure of-

A. 60

B.45

C.30

D.120

Answers

60

 

The sum of the interior angles of a triangle is 180

if there are 3 sides then there are 3 angles

180/3=60 so each interior angle has a measure of 60

Please answer my most recent question.

HELP I NEED HELP WITH CIRCUMFERENCE!! What is the radius of a circle with circumference of 50 cm? Round your answer to the nearest whole number. Use π = 3.14.

A. 4 cm
B. 3 cm
C. 8 cm
D. 7 cm

Answers

Answer:

8cm

Step-by-step explanation:

circumference formula[tex]2\pi \: r[/tex]

50 = 2(3.14)(r)

50 = 6.28r

7.9 = r

8 = r

enzymes : Fish that has been dried in the song keeps longer than wet fish. ​

Answers

Answer:

If the question is fix the sentence than here:

Step-by-step explanation:

A fish that has been dried in the sun lasts longer than a wet fish.

please answer asap! Please dont get it wrong T0T

Answers

Answer:

Step-by-step explanation:

x + 165° = 180° ( being linear pair )

x = 180° - 165°

x = 15°

hope it helps :)

Jessica Jones $425 per week working at a hair salon the weekly expenses are $93.50. What percentage of weekly income goes to paying her weekly expenses​

Answers

Answer:

22%

Step-by-step explanation:

22% of 425 is 93.5

This means that 22% of her weekly income goes to paying her weekly expenses​.

Hope this helped!!

Please leave a thanks and a rating!

If this helped you please consider giving brainliest!!

Which equation can be used to solve for X in the following diagram choose one answer A: 13x - 5x = 180 B: 5x + 13x = 90 C: 5x + 13x = 180 D: 5x = 13x

Answers

Answer:

C) 13x + 5x = 180

Step-by-step explanation:

The angles are supplementary

Tom wants to put up Christmas lights around his house.
His house is a rectangle which is 35m long and 15m wide.
How many metres of lights will Tom need to go all around his house?

Answers

Answer:

525 meters

Step-by-step explanation:

Tom needs 100 meters of lights to go all around his house if Tom wants to put up Christmas lights around his house.

What is a rectangle?

It is defined as the two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

It is given that:

Tom wants to put up Christmas lights around his house.

His house is a rectangle that is 35m long and 15m wide.

To find the how many meters of lights will Tom need to go all around his house.

Find the perimeter of the rectangle:

The perimeter of the rectangle = 2(length + width)

Length = 35 m

Width = 15 m

The perimeter of the rectangle = 2(35 + 15)

The perimeter of the rectangle = 2(50)

The perimeter of the rectangle = 100

Thus, Tom needs 100 meters of lights to go all around his house if Tom wants to put up Christmas lights around his house.

Learn more about the rectangle here:

https://brainly.com/question/15019502

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I need help I dont understand this​

Answers

Answer:

13

Step-by-step explanation:

please tell me the answer and how to get it. ​

Answers

Answer:

Unique Triangle

You can think of it visually.

How to get it: The triangle sum theorem, which only allows for unique triangles (depending on the question), can be applied here.

The product of 4 and the difference of x and 3 *

Answers

Answer:

4x -12

Step-by-step explanation:

Hope this helps!!

The answer is 4(X - 3) or 4*X - 3

Which ordered pair describes a point that is located 1 unit to the left of the origin and 3 units above the x-axis?​

Answers

Answer:

Cartesian plane

Step-by-step explanation:

(–1 , 3)

Answer:

-1 3

Step-by-step explanation:

Jasmine found a wooden jewelry box shaped like a right rectangular prism what is the volume of the jewelry bow

Answers

since you are giving no numbers, in order to solve you would multiply the length, width, and height of the jewelry box

Which of the following equations have exactly one solution?

Answers

Answer:

2x - 31 = -2x - 31

I hope this helps!

If Alicyn makes $8 everyday for babysitting her little sister, how long will it take her to make $128?

Answers

Answer:

16 Days

Step-by-step explanation:

$8 x 1 = 8

$8 x 16 =  128

16 Days!!!!

If Alicyn makes $8 everyday for babysitting her little sister, It'll take her 16 days to make $128.

Answer:

16 days

Step-by-step explanation:

8x _ = 128

8x 16= 128

Solve the area of a rhombus

Answers

Answer:

67.5

Step-by-step explanation:

A=pq/2= (45)(3)/2= 67.5

12
Given that
R
=
3
x
+
2
y

Find
x
when
y
=
7
and
R
=
8
x
=

Answers

Answer:

x=-2

Step-by-step explanation:

R=3x+2y

y=7, R=8

x=?

Substitute R and y with the values given

8=3x+2(7)

8=3x+14

Combine like terms

8-14=3x

-6=3x

x=-2


With which set of information can you construct a unique triangle?
Α.
the measurements of all the angles
B.
the lengths of two sides
C.
the measurements of two angles
D.
the lengths of all the sides
E.
the measurement of one angle

Answers

The answer is the lengths of all the sides/D you welcome

Answer:

I hope this helps

Step-by-step explanation:

describe two sequences of transformation that map figure ABCD onto figure EFGH

Answers

Answer:

Reflection on y=1

Dilation by 2 (Enlargement)

Translation 1 to the right

Step-by-step explanation:

Im not that sure tho sorry

Answer:

Dilate ABCD by a scale factor of 2. Then reflect the image.

Step-by-step explanation:

The line l is tangent to the circle with equation x^2 + y^2=10 at the point P.
Determine the equation of line l.

Answers

Given:

The equation of a circle is

[tex]x^2+y^2=10[/tex]

A tangent line l to the circle touches the circle at point P(1,3).

To find:

The equation of the line l.

Solution:

Slope formula: If a line passes through two points, then the slope of the line is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Endpoints of the radius are O(0,0) and P(1,3). So, the slope of radius is

[tex]m_1=\dfrac{3-0}{1-0}[/tex]

[tex]m_1=\dfrac{3}{1}[/tex]

[tex]m=3[/tex]

We know that the radius of a circle is always perpendicular to the tangent at the point of tangency.

Product of slopes of two perpendicular lines is always -1.

Let the slope of tangent line l is m. Then, the product of slopes of line l and radius is -1.

[tex]m\times m_1=-1[/tex]

[tex]m\times 3=-1[/tex]

[tex]m=-\dfrac{1}{3}[/tex]

The slope of line l is [tex]-\dfrac{1}{3}[/tex] and it passs through the point P(1,3). So, the equation of line l is

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-3=-\dfrac{1}{3}(x-1)[/tex]

[tex]y-3=-\dfrac{1}{3}(x)+\dfrac{1}{3}[/tex]

Adding 3 on both sides, we get

[tex]y=-\dfrac{1}{3}x+\dfrac{1}{3}+3[/tex]

[tex]y=-\dfrac{1}{3}x+\dfrac{1+9}{3}[/tex]

[tex]y=-\dfrac{1}{3}x+\dfrac{10}{3}[/tex]

Therefore, the equation of line l is [tex]y=-\dfrac{1}{3}x+\dfrac{10}{3}[/tex].

Quadrilateral BCDE is inscribed in circle A. The measure of ⏜ is 73°. The measure of ⏜ is 53° and the measure of ⏜ is 102°. Determine the measure of ∠ BCD.

Answers

Answer:

oh ok I think it’s 63>

Step-by-step explanation:

.

[tex]p^{2}xp^{2}[/tex]

Answers

Answer:

[tex] {p}^{4} x[/tex]

Step-by-step explanation:

1) Regroup terms.

[tex] {p}^{2} p^{2} x[/tex]

2) Use product rule.

[tex] {p}^{2 + 2} x[/tex]

3) Simplify 2 × 2 to 4.

[tex]p ^{4} x[/tex]

Therefor, the answer is p⁴x

He right from step to step
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