Today Arlene is one-fourth of Justin's age. In 10 years, Arlene will be 50% of Justin's ageHow old was Arlene last year?

Answers

Answer 1

Answer:

Step-by-step explanation:

Let Justin's age be x

Arlene today is 1/4 x

Ten years from now

Arlene:  1/2 (x + 10) = 1/4 x + 10       Remove the brackets

1/2 x + 5 = 1/4x + 10                          Subtract 1/4x from both sides.

1/2 x - 1/4x + 5 = 10                           Combine

1/4x + 5 = 10                                      Subtract 5 from both side

1/4 x = 10 - 5                                      Combine

1/4 x = 5                                             Multiply both sides by 4

x = 5 * 4

x = 20

Arlene is 5 years old (1/4 20) right now

Answer:  Last year, Arlene was 4 years old


Related Questions

50 points helppppppppppppppppppppppppppppppppppppppppppppppp i need it fast

Answers

All triangles in this shape have same area as they have same base length and height length.

area of triangle: 1/2 * base * height

Here the base is 4.2 cm and height is 2.5 cm for all the given triangles.

As a result, we can say that the area of [tex]\triangle[/tex] A,  [tex]\triangle[/tex] B,  [tex]\triangle[/tex] C are equal.

Answer:

area A = 5.25 cm²

area B = 5.25 cm²

area C = 5.25 cm²

Step-by-step explanation:

area of a triangle = 1/2 x base x height

area of A = 1/2 x 4.2 x 2.5 = 5.25 cm²

area of B = 1/2 x 4.2 x 2.5 = 5.25 cm²

area of C = 1/2 x 4.2 x 2.5 = 5.25 cm²

Triangles A, B and C have the same area as they all have the same measures of base and height.

the difference of z and 5

Answers

Answer:

z-5 or 5-z

...........................................

if x^2=36 and y^2=81 which of the following cannot be the value of x+y

A. -15
B. -3
C. 0
D. 3
E. 15

Answers

Answer: 0

Step-by-step explanation:

We can unsquare the squareroots:

x^2=36

Becomes

x=6 (because 6*6 is 36)

similarly,

y^2=81

Becomes:

y=9(because 9*9=81)

When you have a squareroot no matter if it’s negative or positive the result is a positive number.

Now we can solve and eliminate possible solutions.
For A) -9+(-6)=(-15)

For B) (-9)+6=(-3)

For D)(-6)+9=3

For E) 9+6=15

The only one that cannot be made is C)0

four and eight tenths minus two and five tenths equals− two and eight tenths

a
two and three tenths

b
two and two tenths

c
one and three tenths

d
1

Answers

Answer:

it's two and three tenths / option a

Step-by-step explanation:

4-2 = 2

8-5 = 3

help me please!!!!!!!

Answers

Answer:

it is blurry and I cannot see sorry

Step-by-step explanation:

what is the product of 4/7 and 4/6?

Answers

Product = result of a multiplication problem

4/7 x 4/6 = 8/21 (0.38095)

4 x 4 = 16
7 x 6 = 42

16/42 = 8/21

Arielle is filling up the kiddie pool for her younger sister and places a hose in the pool, allowing water to fill the pool. After a certain number of minutes, Arielle finds a second hose, places it in the kiddie pool, and allows more water to fill the pool.

Arielle can express the average rate of water entering the kiddie pool in gallons per minute as 2x+6(x+3)/2x+3.

What is the meaning of the parts of this rational expression in the context of the situation?

Select from the drop-down menus to correctly complete the statements.

The numerator of the rational expression represents the ____

The denominator of the rational expression represents the ____

Possible solutions for the fill in the blank above:
A. Total number of gallons of water in the kiddie pool.
B. Total number of minutes filling the kiddie pool.
C. Number of gallons each hose dispenses.

Answers

The given rational function that gives the average rate of water entering

the pool is the total volume in the pool divided by the time.

Response:

The numerator of the rational expression represents the;

A. Total number of gallons of water in the kiddie pool

The denominator of the rational expression represents the;

B. Total number of minutes of filling the kiddie pool

Which methods are used to determine the parts of the rational function?

The given parameters are;

[tex]Expression \ for \ average \rate \ of \ water \ entering \ the \ pool = \mathbf{ \dfrac{2 \cdot x + 6 \cdot (x + 3)}{2 \cdot x + 3}}[/tex]

The parts of the given expression can be analyzed as follows;

x = The time in which the second hose is in use

2 = The flow rate of the second hose in gallons per minute

6 = The flow rate of the first hose in gallons per minute

x + 3 = The time in which the first hose is in use

x + x + 3 = 2·x + 3 = The total number of minutes of filling the kiddie pool

Therefore;

2·x = The volume added to the pool due to the second hose

6·(x + 3) = The volume added to the pool due to the first hose

2·x + 6·(x + 3) = Total number of gallons of water in the kiddie pool

Which gives;

The numerator of the rational expression represents the;

A. Total number of gallons of water in the kiddie pool

The denominator of the rational expression represents the;

B. Total number of minutes of filling the kiddie pool

Learn more about rational functions here:

https://brainly.com/question/16823676

answer me asap pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

0.0944

Step-by-step explanation:

Move the decimal place over by 3 so it would be 0.0944.

The graph shows a line and two similar triangles
What is the equation of the line?
y- 5x
y - 3x
y-3/5
y-5/3

Answers

Answer:

i think d

Step-by-step explanation:

Answer:

y=5/3x

Step-by-step explanation:

Hope this Helps!

If not I am sorry.

Giving brainlyist to the first person to answer correctly and having a complete answer.

Answers

Answer:

25

Step-by-step explanation:

2400 dived by 96 is 25

(show ur work) 1875 ÷ 125 = ?

Answers

Answer:

15

Step-by-step explanation:

1875÷125=15 125×15=1875

Answer:

15

Step-by-step explanation:

What is AE?
Enter your answer in the box.

Answers

Answer:

x = 4

Step-by-step explanation:

AE = ED

2x+4 = x+8

Subtract x from each side

2x+4-x = x+8-x

x+4 = 8

Subtract 4 from each side

x+4-4 = 8-4

x = 4

James has a 6-ft board that is 24 in. wide. He wants to cut it into five pieces to make a small bookshelf with two shelves. The front and back will not be covered. What should the dimensions of the bookshelf be to maximize the volume and use all of the 6 ft board?

Answers

Answer:

width=x, length = y

(in ft)

3x + 2y = 6y>x

y = 1.5 , x= 1

1ft = 12 in 1.5ft = 18in

Write an Irrational number that can be added to the irrational number 5 to get a rational sum of 6.​

Answers

Answer:

41 -12√5

Step-by-step explanation:

All square roots of natural numbers, other than of perfect squares, are irrational.

so, let the unknown irrational number be x,

solve:

√x + √5 = 6

√x = 6 - √5

( √x ) ² = ( 6 - √5 )²

x = ( 6 - √5 )( 6 - √5 )

x = 36 -6√5 -6√5 + 5

x = 41 -12√5

solve the equation to find the value of the pronumeral
giving brainliest

Answers

♪Answer :

#1

¹²³√a = 1 a = 1¹²³a = 1

#2

b³ = 27 b = ³√27 b = 3

#3

⁴√c = 2 c = 2⁴ c = 16

2.3g = 7.13 what is the answer to g?

Answers

Answer:

g=3.1

Step-by-step explanation:

If you want to do the math all you have to do is divide 7.13 by 2.3 and you get the answer

Please mark brainlest

Answer:

g=31/10

Step-by-step explanation:

First multiply both sides by 100RefineDivide both sides by 230Then simplify

How long is the arc intersected by a central angle of StartFraction pi Over 2 EndFraction radians in a circle with a radius of 4. 5 cm? Round your answer to the nearest tenth. Use 3. 14 for Pi.

Answers

The arc is the product of the angle and radius of the circle. Then the arc length is 7.065 cm.

What is a circle?

It is a locus of a point drawn at an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

The central angle of π/2 radians in a circle with a radius of 4.5 cm.

The arc is given as the product of the angle and radius of the circle.

[tex]\rm Arc \ length = Angle * Radius\\\\\\Arc \ length = \dfrac{\pi}{2} * 4.5\\\\\\Arc \ length = \dfrac{3.14}{2} * 4.5\\\\\\Arc \ length = 7.065[/tex]

The arc length is 7.065 cm.

More about the circle link is given below.

https://brainly.com/question/11833983

GUYS PLEASE HELP!!!!! if u can also explain how u got the answer
x =
3
7
1

Answers

Answer:

x = 3

Step-by-step explanation:

By tangent secant segment theorem:

[tex]x \times 12 = 4 \times 9 \\ \\ \implies \: 12x = 36 \\ \\ \implies \: x = \frac{36}{12} \\ \\ \implies \: x = 3[/tex]

Answer:

x=3

Step-by-step explanation:

On the grid shown, each grid line represents one mile. What is the shortest distance, to the nearest tenth of a mile, between Hillburn and Dunford?

Answers

Answer:

5.1

Step-by-step explanation:

You just have to count up and thats the closest number

Help me with this, please!!!!

Answers

Answer:

Answer is : 0

NO solution

Step-by-step explanation:

System of Linear Equations entered :

[1] y + 3x = 7

[2] y + 3x = -6

Solve by Substitution :

// Solve equation [2] for the variable y

[2] y = -3x - 6

// Plug this in for variable y in equation [1]

[1] (-3x-6) + 3x = 7

[1] 0 = 13 => NO solution

No solution

teh face of a circular game token has an area of 10pi cm to the second power. what is the diameter of the coin token. round to the nearest hundredth of a centimeter

Answers

Answer:

6.32 cm

Step-by-step explanation:

Area of a circle = [tex]\pi r^2[/tex]   (where r is the radius)

Given area = [tex]10\pi[/tex] cm²

⇒ [tex]10\pi=\pi r^2[/tex]

[tex]\implies 10=r^2[/tex]

[tex]\implies r=\sqrt{10}[/tex]

Diameter = 2r    (where r is the radius)

[tex]\implies d=2r=2\sqrt{10}=6.32[/tex] cm (nearest hundredth)

Area of a circle = [tex]πr²[/tex]

Given area = [tex]10π cm²[/tex]

[tex]\bold\red{ ⇒} 10π = πr²[/tex]

[tex]\bold\red{⇒ } 10 = r²[/tex]

[tex]\bold\red{⇒ } r = \sqrt{10}[/tex]

Diameter = [tex]2r[/tex]

[tex]\bold\red{⇒}2\sqrt{10} =\bold\pink{6.32 cm} [/tex] [tex]\bold\green{ [nearest \: hundredth]}[/tex]

I really really really really need help with this question

Answers

Answer:

When rotating any polygon 90 degrees, each vertice/point of the polygon should be changed from (x, y) to (y, -x). Because of this, E(-7, -4) should be E'(-4, 7), F(-2, -1) should be F'(-1, 2), and G(-5, -8) should be G'(-8, 5) after the rotation.

Step-by-step explanation:

Like I explained above, when rotating a shape 90 degrees clockwise on a plane, the points change from (x, y) to (y, -x). The student changed each point from (x, y) to (-y, x), which is a 90 degree counterclockwise rotation. That is why the student is incorrect.

I hoped this helped! Sorry, I am terrible at explaining things. :)

v=u + at
u= 2
a = -5
t = Î
2
Work out the value of v.

Answers

Answer:

Step-by-step explanation:

a = 5 n, Î = 5 n, t = -2 n, u = 5 n, n element Z

Hello Please help me do this its due in 23 minutes!!!!!

Answers

Answer:

y = x³

Step-by-step explanation:

Hope it helps.

Answer:

y = x³

Step-by-step explanation:

I assume you meant to ask for a function that represents this.

x = input

x³ = cube of input

y = output

y = x³

A truck rental company rents a truck for a one-time fee of $25 plus $1.50 per mile traveled. Kelly has $80 she can spend on the rental truck. Written as a fraction, what is the greatest number of miles that she can travel?

Answers

Answer:

The greatest number of miles that she can travel is 36(2/3) miles

Step-by-step explanation:

m=miles

25+1.50m ≤ 80

1.5 m ≤ 55

m ≤ 36.66666......

m ≤ 36 (6/9)

m ≤ 36(2/3)

I need help please thanks

Answers

Answer:

1,120

Step-by-step explanation:

L x W x H = 14 x 10 x 8

can i get brainley?

Find the surface area of the figure. 21 in. 2 SA = [ ? ]in.? 8 in 11 in​

Answers

Check the picture below.

[tex]\stackrel{\textit{left and right}}{2(8)(21)}~~ + ~~\stackrel{\textit{front and back}}{2(11)(21)}~~ + ~~\stackrel{\textit{top and bottom}}{2(11)(8)}\implies 974~in^2[/tex]

Mikey worked 8 hours on Wednesday, 6 hours on Thursday, and 7 hours on Friday. His gross pay for all three days was $187.95. What was his hourly rate

Answers

Answer:

$8.95

Step-by-step explanation:

8 + 6 + 7 = 21

$187.95 divided by 21 = $8.95

Can anyone please help me with math pls

Answers

Answer:

Which maths

Step-by-step explanation:

pls type it

thx

What kind do you need help with?

HELP ASAP

A. Less then one gallon
B. Between 1 and 2 gallons
C. Between 2 and 3 gallons
D. More than 3 gallons

Answers

Answer:

1/4 each day would be 1 gallon every 4 days so for 5 days it would be 1 and 1/4 gallons so between 1-2 B

Step-by-step explanation:

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