Benny’s age is currently 200% of his sister Jenny’s age. What percent of Benny’s age will Jenny’s age

be in 4 years?

Answers

Answer 1
Final answer:

Jenny's future age would be expressed as ((x+4)/(2x+4))*100 percent of Benny's future age, where x is Jenny's current age.

Explanation:

To solve this problem, we first note that Benny is currently 200% of Jenny's age, meaning Benny's age is twice that of Jenny. So let's denote Jenny's current age as x - Benny's age will be 2x.

In 4 years, Jenny's age will be x+4 and Benny's age will be 2x+4. To calculate what percent of Benny's future age will Jenny's future age be, we have to divide Jenny's future age (x+4) by Benny's future age (2x+4) and then multiply by 100 to get the percentage. Therefore, Jenny's age will be ((x+4)/(2x+4))*100 percent of Benny's age.

Since we don't know their real ages, this is the most accurate answer we can provide, expressed as an algebraic equation. In real-life situation with the real ages known this equation would allow to find out what percent of Benny's age will Jenny’s age be in 4 years.

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Answer 2
Final answer:

If Jenny's age is x, Benny's age is 2x. In 4 years, Jenny's age will be x+4 and Benny's will be 2x+4. To calculate what percent of Benny's age Jenny's age will be, we can use this formula: ((x+4)/(2x+4)) × 100.

Explanation:

Let's start by expressing Benny's age in terms of Jenny's age. If Benny's age is currently 200% of Jenny's age, then mathematically, we can say:

Benny's age = 200% of Jenny's age

B = 2 × x

Now, let's assume Jenny's age is represented as J. So, Benny's age is 2 × x.

If we want to find out what percent of Benny's age Jenny's age will be in 4 years, let's calculate it step by step.

In 4 years, Benny's age will be:

Benny's age in 4 years = Benny's current age + 4

Benny's age in 4 years = 2 × x + 4

Jenny's age in 4 years will be:

Jenny's age in 4 years = Jenny's current age + 4

Jenny's age in 4 years = x + 4

Now, let's find out what percent of Benny's age Jenny's age in 4 years will be:

Percent = (Jenny's age in 4 years / Benny's age in 4 years) × 100

Percent = (x + 4) / (2 × x + 4) × 100

This calculation will give us the percentage of Jenny's age compared to Benny's age in 4 years.

Learn more about percentage here:

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Related Questions

My nephew was playing with a book and tore out the pages 7, 8, 100, 101, 222 and 223.

How many sheets did he tear out?

Answers

Answer:

Step-by-step explanation:

A sheet has 2 pages

6 pages are torn. So 6 ÷ 2 = 3 sheets

Answer:

3 pages

Step-by-step explanation:

7 and 8 are one page

100 and 101 are one page

222 and 223 are one page

He tore out 3 pages

Can you please help me out plz asap

Answers

Answer:

1. A

2. B

3. C

you have to judge the fraction based on the other dilations and the answer choices

pls help thankssssssssssssssssssssssssssssss

Answers

Answer: The answer is 525.

Step-by-step explanation:

7*(5)^2*(3)= 525

compare the two groups of data. which statement is true?

Answers

Answer:

a) both have the same spread

Step-by-step explanation:

Mean of Brand A > Mean of Brand B

Median of A > Median of B

Spread of:

A: 22 - 18 = 4

B: 18 - 14 = 4

The spread of the data which is obtained by calculating the Interquartile range of each distribution since the distributions are skewed is 2 for brand A and brand B. Hence, the spread is the same.

The distribution of BRAND A chips :

18, 19, 19, 19, 19, 19, 19, 20,20,20,20,20,20,21,21,21,21,21,21,22

The Upper quartile, Q3 ;

Q3 = 0.75 × (n + 1)th term

Q3 = 0.75 × 21 = 15.75 th term = 21

The Lower quartile, Q1 ;

Q1 = 0.25 × (n + 1)th term

Q1 = 0.25 × 21 = 5.25 th term = 19

The IQR = Q3 - Q1 = (21 - 19) = 2

The distribution of BRAND B chips :

14,14,14,14,14,14,14,14,15,15,15,15,15,15,16,16,16,16,16,18

The Upper quartile, Q3 ;

Q3 = 0.75 × (n + 1)th term

Q3 = 0.75 × 21 = 15.75 th term = 16

The Lower quartile, Q1 ;

Q1 = 0.25 × (n + 1)th term

Q1 = 0.25 × 21 = 5.25 th term = 14

The IQR = Q3 - Q1 = (16 - 14) = 2

Therefore, the spread of distribution of BRAND A and B are the same.

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Question 1
Factor the following expression using the GCF. Type your factored expression below.
4xy + 12w + 12Z

Answers

Answer:

4(xy + w + z)

Step-by-step explanation:

The expression to be factored is:

          4xy + 12w + 12z

Factoring an equation involves taking out common terms from the expression that will then make it more simpler and simplified.

To solve this problem, we need to find the factors of the given terms:

            4xy

            12w

            12z

The numbers given as coefficients of the variables are;

                       4            12               12

A factor is any integer that divides a number evenly;

             Factors of 4 are 1, 2 and 4

                              12 are 1, 2,3,4,6 and 12

The common factors between 4 and 12 are those numbers that can divide both digits:

      These are  1, 2, and 4, they are common to both

Now, the greatest common factor is the highest of this factors which is 4

 Therefore, the greatest common factor of 12 and 4 is 4

Also, xy, w and z has no common factors

Factoring

                 4xy + 12w + 12z  = 4(xy + w + z)

What is the volume of this cylinder?
Use n = 3.14 and round your answer to the nearest hundredth.


Answers

Answer:

12762.72 cubic meters

Step-by-step explanation:

The volume of a cylinder is denoted by the formula: [tex]V=\pi r^{2} h[/tex], where r is the radius and h is the height.

Here, we see that the height h = 11.5 m. We also see that the diameter is 37.6 meters. Since diameter = 2 * radius, we can divide this number by 2 to get the radius: r = 37.6/2 = 18.8 meters.

Now substitute these values into the equation:

[tex]V=\pi *(18.8^2)*11.5=3.14*(18.8^2)*11.5=12762.72[/tex] cubic meters

Hope this helps!

Answer:

[tex]12769.19m^{3}[/tex]

Step-by-step explanation:

The formula for the area of a circle is:

[tex]\pi r^{2}[/tex]

To work this out you would first have to find the area of the circle. To do this you would first divide 37.6 by 2, which gives you 18.8. Then to find the area you would multiply pi by 18.8 squared, which gives you [tex]1110.36m^{2}[/tex]. Then To find the volume you would multiply 1110.36 by 11.5, which gives you [tex]12769.19m^{3}[/tex].

To find the volume of a prism you would find the area of the main face and multiply it by the height.

1) Divide 37.6 by 2.

[tex]37.6/2=18.8[/tex]

2) Multiply [tex]\pi[/tex] by 18.8 squared.

[tex]\pi *18.8^{2}=1110.36m^{2}[/tex]

3) Multiply 1110.34 by 11.5.

[tex]1110.36*11.5=12769.19m^{3}[/tex]

Remember when finding the area, thee answer is always going to be squared.

Remember when finding the volume the answer is always going to be cubed.

What is the effect on the graph of the function f(x) =^8x when f(x) is replaced with f(x − 2)?

Answers

Answer:

f(x - 2) = 8x - 16

Step-by-step explanation:

f(x) = 8x

f(x - 2) = 8(x - 2)

f(x - 2) = 8x - 16

In a classroom, there are 7 groups of desks, and each group has the same
number of desks. The math teacher distributes one calculator to each desk. If
out of 37 calculators all but 2 are distributed, how many desks are in each
group?
Help me!! Pleaseee

Answers

Answer:

5 groups

Step-by-step explanation:

because you subtract two from 37 calculators that gives you 35 divide it by 7 and you get 5

Answer:

It' s was 77

Step-by-step explanation:

An envelope is 3 inches wide, and it measures 7 inches along the diagonal. What is the envelope’s length? If necessary, round to the nearest tenth.

Answers

The length of the envelope is 6.3 inches

Step-by-step explanation:

Width of the envelope = 3 inches

Diagonal of the envelope = 7 inches

To find:

The length of the envelope.

Let the length of the envelope be 'l'

We can use pythogoras theorem to calculate the length.

l = √(49-9)

l = √(40)

l = 6.3 inches

The length of the envelope is 6.3 inches

Can you explain it and help me out please​

Answers

Answer:

D. two real solutions

Step-by-step explanation:

p²+5 = 6p

p² - 6p +5 =0

D = b² - 4ac = (-6)² - 4*(1)*5 = 36 - 20 = 16

D > 0, so this equation has 2 real solutions


Patel is solving 8x? + 16x + 3 = 0. Which steps could he use to solve the quadratic equation? Select three options,

Answers

Answer:

8x+16x+3=0

24x+3=0

24x=3

x=24÷3

x=8

points and brainliest!
is this a function?
true or false

Answers

Answer:

false

Step-by-step explanation:

it fails the vertical line test, (x cannot be equal to 2 or more y values or its not a function)

To check if a graph is a function, we use the vertical line test. If your run a vertical line over the function, are there any places where the line intersects the graph more than once? If so, it's not a function.

In this case, if we have a line at x = 0, the line will go through more than one point - (0, 0) and (0, 3.1) [exact value doesn't matter, what matters is that there's a point there]. That means that this is not a function, so the statement is false.

If a florist uses her credit card to pay for a new window display that costs $1,242 and does not pay it on until the Second month, what will the 1.25% monthly interest charge be at the end of the first month?

A.$12.83

B.15.53

C.16.00

D.$17.17

Answers

Answer:

$15.53

Step-by-step explanation:

Please refer to the attached image for explanations




Find the exact volume of the cylinder.


A) 14π m3

B) 28π m3

C) 56π m3

D) 112π m3

(the height is 7 and the radius is 2)

Answers

Answer:

Option B) [tex]28\pi\text{ m}^3[/tex]

Step-by-step explanation:

We are given the following in the question:

Radius of cylinder, r  = 2 m

Height of cylinder, h = 7 m

We have to find the volume of the cylinder.

Volume of cylinder =

[tex]V = \pi r^2 h[/tex]

where r is the radius and h is the height of the cylinder.

Putting values, we get,

[tex]V = \pi (2)^2(7)\\V = 28\pi\text{ cubic meter}[/tex]

Thus, the volume of cylinder is

Option B) [tex]28\pi\text{ m}^3[/tex]

Hi, love!!

The correct answer is listed below:

A) 14π m3

B) 28π m3

C) 56π m3

D) 112π m3

A linear function has a slope of Negative StartFraction 7 Over 9 EndFraction and a y-intercept of 3. How does this function compare to the linear function that is represented by the equation y + 11 = Negative StartFraction 7 Over 9 EndFraction (x minus 18)?

Answers

Answer:

They are the same line written in different forms.

Step-by-step explanation:

Given a linear function with a slope of [tex]-\frac{7}{9}[/tex] and a y-intercept of 3.

The equation of the line in the slope-intercept form is given as:

[tex]y=-\frac{7}{9}x+3[/tex]

Given the other line,

[tex]y+11=-\frac{7}{9}(x-18)[/tex]

Simplified:

[tex]y+11=-\frac{7}{9}x+14\\y=-\frac{7}{9}x+14-11\\y=-\frac{7}{9}x+3[/tex]

The two lines are one and the same line.

Answer:

They are the same line written in different forms.

can someone please help

Answers

Answer:

Step-by-step explanation:

1)

[tex]\frac{5}{24}+\frac{2}{3-x}=\frac{1}{4}\\\\\frac{5}{24}-\frac{1}{4}=\frac{-2}{3-x}\\\\\frac{5}{24}-\frac{1*6}{4*6}=\frac{-2}{3-x}\\\\\frac{5-6}{24}}=\frac{-2}{3-x}\\\\\frac{-1}{24}}=\frac{-2}{3-x}\\\\\\(-1)*(3-x)=(-2)*24\\\\-1*3-(-1)*x = -48\\\\-3 + x = -48\\\\x = -48 + 3\\\\x = -45[/tex]

x = -45

2)

I would also love an explanation!

Answers

Answer:you go up one over three

Step-by-step explanation:

Please help
Which shapes can be cross sections of the figure?
Check all that apply.
A,circle
B,rectangle
C,trapezoid
D,triangle
E,semicircle

Answers

Answer:

The answer is B,C, and D

Step-by-step explanation:

I GOT. THE. QUESTION. RIGHT. ON. EDUNUTITY

2 Points
Multiply the polynomials.
(х- 7)(х2 + 3х – 3)
ОА. 3 – 4х2 – 24
21
О
В. x — 7х2 — 24х + 21
ооо
Ос. 3 – 72 - 3x+21
O
D. х3 – 4х2 – 3х+21
SUBM

Answers

Answer:

213

Step-by-step explanation:

can someone please help me i would be very grateful
Questions 4,5,6,7,8,9
HELP

Answers

I only know the vertex and the max/min.
4.) Vertex = (-4,1) // Max
5.) Vertex = (5,-4) // Min
6.) Vertex = (2,5) // Min
7.) Vertex = (3,-4) // Min
8.) Vertex = (-1,1) // Max
9.) Vertex = (5,0) // Min

the nth term of a number sequence is 2n+5

Answers

Answer:

Step-by-step explanation:

hello you idiot

It’s just gonna be n

Find the vertex and the axis of symmetry of the graph f(x) = 3(x + 1)2.

Answers

Answer:

Step-by-step explanation:

hello :

the vertex is (-1 ;0)

the axis of symmetry  is : x= -1

a 3rd grade teacher has 55 students everyday if those 55 students turned into 100 students how many students would it be.

Answers

Answer:

45 because you have to subtract 100-55 which would equal 45

Answer:

Yeah it would be 45

Step-by-step explanation:

Because:

100 - 55 = 45

x- 8.75 = 7.63 helppppp

Answers

x- 8.75= 7.63
+8.75. +8.75
So x= 16.38
hope this helps :)

Hi there! Hopefully this helps!

----------------------------------------------------------------------------------------------

Answer: X = 16.38

To see what X equals, you need to do the inverse of the operation use.

For example, this equation uses subtraction, so to solve it we use addition.

||

\/

8.75 + 7.63 = 16.38.

So, 16.38 - 8.75 = 7.63.

Which of these is not a Pythagorean Triple?
Select one:
a. 5,12,13
b. 3,4,5
c. 1,2,3
d. 7,24,25

Answers

Answer:

C because the rest are pythagoreaum theroems 1 squared plus 2 squared does not equal 3 squared.

Step-by-step explanation:

The answer is C , I hope it helps

Order the numbers from greatest to least.

2.34, 234, 94

Answers

Answer:

234, 94, 2.34

Step-by-step explanation:

Mathematics VI
Which property is represented by the following equation?
5 x 13 x 2 = 5x 2 x 13

Answers

Answer:

commutative

Step-by-step explanation:

-The ability to change the order to terms in a addition or multiplication problem.

A cylinder and a cone start with the same radius and height. The radius of the cone is then tripled, and the height of the cone is cut in half. The radius of the cylinder stays the same, but the height of the cylinder is doubled. Which change produces a greater increase in volume (i.e., which figure’s volume increases by a larger factor)? Justify your answer. Write “pi” for ''pi symbol'' and “r^2”.

Answers

Answer:

The change in the cone produces a greater increase in volume.

Step-by-step explanation:

Let's start with the cone.

[tex]V = \frac{1}{3} \pi r^{2} h[/tex]

[tex]V = \frac{1}{3} \pi 3r^{2} \frac{h}{2}[/tex]         (In your case, you would type V = 1/3pi3r^2h/2)

The changes that occurred are [tex]3^{2}[/tex] and [tex]1/2[/tex]. When we add these together we get [tex]9/2[/tex].

Now the cylinder.

[tex]V = \pi r^{2} h[/tex]

[tex]V = \pi r^{2} 2h[/tex]         (In your case, you would type V = pir^2 2h)

The change that occurred is [tex]2[/tex].

[tex]9/2[/tex] is greater than [tex]2[/tex] which means that the change in the cone produces a greater increase in volume.

Answer:

Step-by-step explanation:

For the cone  V k1= (Pi/3) .R squared .H

V k2= (pi/3) .  (3R)squared .  (H/2)=(9/2) .(PI/3) .  R squared.H

=(3pi/2) R.squared.H

3pi/2

nk= 2/ pi/3

N k= 9/2

For the cylinder

V c1=Pi .R squared.H

V c2= Pi.R squared.(2H)

N c=V c2/V c1=2

Cone has greatest change in volume

Hope this helps!!!!!!!!

wo lengths of a triangle are shown. wo lengths of a triangle are shown. Triangle J K L. Side J K is 5 inches and side J L is 10 inches. Which could be the length of Side K L? 4 in. 9 in. 16 in. 19 in.Triangle J K L. Side J K is 5 inches and side J L is 10 inches. Which could be the length of Side K L? 4 in. 9 in. 16 in. 19 in.

Answers

Answer:

B/2: 9 inches

help meeeeeeeeeeeeeeee

Answers

Answer:

2 years

Step-by-step explanation:

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