Another neighbor said, “My age is the difference between twice my age in 5 years and and twice my age 5 years ago.” How old is this neighbor? A third neighbor had the same claim for 17 years from now and 17 years ago. How old is this neighbor?

Answers

Answer 1

Answer:

The neighbor is 20 years old.

The third neighbor is 68 years old.

Step-by-step explanation:

Equations

Let's set:

x=current age of the neighbor

x+5=his age in 5 years

x-5=his age 5 years ago

He claims that his age is the difference between twice his age in 5 years and twice his age 5 years ago. Then:

x = 2( x + 5 ) - 2( x - 5 )

Operating:

x = 2x + 10 - 2x +10

Simplifying:

x = 20

The neighbor is 20 years old.

Repeating for the other neighbor, a similar equation is established:

x = 2( x + 17 ) - 2( x - 17 )

Operating:

x = 2x + 34 - 2x +34

Simplifying:

x = 68

The third neighbor is 68 years old.


Related Questions

A bathtub is being filled with water. After 10 minutes, there are
75 quarts of water in the tub. Then someone accidentally pulls the
drain plug while the water is still running, and the tub begins to
empty. The tub loses 15 quarts in 5 minutes, and then someone
plugs the drain and the tub fills for 6 more minutes, gaining
another 45 quarts of water. After a 15-minute bath, the person
gets out and pulls the drain plug. It takes 11 minutes for the tub
to drain.
The graph is a graph........
The domain is .....
The range is .......

Please help!!!!!
I'll give 92 points for the one that answers!!!

Answers

Answer:

domain is ..... 13

The range is 45

Step-by-step explanation:

You start at (10, 1). You move down 1 unit and left 7 units. Where do you end?

Answers

Translation in right or left causes the x coordinate to change while translation in up or down causes the y coordinate to change.

Moving left or down causes the coordinates to be going negative.

Moving right or up causes the coordinates to be positive.

Original point (10, 1).

Down 1 unit:

(10, 1 - 1) = (10, 0)

Left 7 units:

(10 - 7, 0) = (3, 0)

You end at (3, 0)

USE FOR MASTERY Number of attempts allowed: 1 Write two rational numbers a/b and c/d, where a, b, c, and d are the digits 2, 3, 4, or 5, such that no digit can be used more than once and that the two rational numbers are the greatest distance apart on the number line. Explain how you got this answer.

Answers

Answer:

We want to craft:

a/b and c/d

where a, b, c and d can be 2, 3, 4 and 5.

Such that the distance in the number line between these two numbers is maximized.

Then we want one number to be really small, and the other to be really large.

Remember two things:

for numbers like a/b.

if a is smaller than b, then a/b is smaller than 1.

Now, if a is larger than b, then a/b is larger than 1.

And two things,

1/10 = 0.1

10/1 = 10

So when the numerator is larger, the distance displaced in the number line is larger.

Then we want to have:

a number where the numerator is the largest option and the denominator is the smallest option:

a/b = 5/2

And the two remaining options in such way that the numerator is smaller than the denominator:

c/d = 3/4.

The distance between these two numbers is:

D = 5/2 - 3/4 = 10/4 - 3/4 = 7/4.

Find the values of x and y.

Please show steps

Answers

x: 90 degrees. y: 43 degrees

We know that x is a right angle. The way we find y is to add 47 + 90 which gives us 137. We also know that a right triangle adds up to 180. So, we subtract 137 from 180. This means that y would be 43 degrees.

What 100000654 divided by 89765

Answers

Answer:

1114.027

Step-by-step explanation:

If m27 = 55°, which of the following statements are true? Select all that apply.
2
3
4
5/6
8
A m26 = 55°
B
m25 = 135°
Cm21 + 24 = 250°
Dm21 + m26 = m 27+ m24

Answers

Answer:

2, 3 , 5/6, b

Step-by-step explanation:

what is the inverse of the function f(x) = 2x+ 1?

A. h(x) = 1/2x -1/2
B. h(x) = 1/2x + 1/2
C. h(x) = 1/2x - 2
D. h(x) = 1/2x + 2

Answers

[tex]f(x) = 2x + 1[/tex]

[tex]y = 2x + 1[/tex]

Subtract sides -1

[tex]y - 1 = 2x + 1 - 1[/tex]

[tex]y - 1 = 2x[/tex]

[tex]2x = y - 1[/tex]

Divided sides 2

[tex] \frac{2}{2}x = \frac{y - 1}{2} \\ [/tex]

[tex]x = \frac{1}{2}y - \frac{1}{2} \\ [/tex]

Thus ;

[tex] {f}^{ - 1} = h(x) = \frac{1}{2}x - \frac{1}{2} \\ [/tex]

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So the correct answer is (( A )) .

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Help Please ASAP!!! anyone?!?

Answers

Step-by-step explanation:

This angle can be written in three different ways -

∠RST ∠S∠TSR

Therefore,

Options A, B, C are correct.

2540 centimeters are equal to how many inches ?​

Answers

Answer:1000

Step-by-step explanation

There are 1000 inches equal to 2540 centimeters

Unit conversion can be defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.

To convert centimeters to inches, we have to use the conversion factor 1 inch = 2.54 cm.

To determine how many inches are in 2540 cm, first we divide 2540 by 2.54:

2540 cm ÷ 2.54 = 1000 inches

Therefore, we can conclude that 2540 centimeters are equal to 1000 inches.

Learn more about the unit conversion here:

brainly.com/question/11543684

#SPJ6

The lines AB and CD are perpendicular to each other. If the slope of line AB is 2/3 then what is the slope of line CD​

Answers

Answer:

-3/2

Step-by-step explanation:

you can find the perpendicular slope by putting the slope in 1/-m. M is the current slope you have or really you can flip it and change the signs so for example, 1/-(2/3) = -3/2

The slope of line CD​ is = -3/2

What are Perpendicular lines?

A perpendicular is a straight line that makes an angle of 90° with another line.

Given that the lines AB and CD are perpendicular to each other, the slope of line AB is 2/3.

Slope of perpendicular lines are negative reciprocal of each other, so,

Hence, The slope of line CD​ is = -3/2

For more references on Perpendicular lines, click;

https://brainly.com/question/18271653

#SPJ2

This is IXL plz help !!

Answers

Answer:

A = 3.14

Step-by-step explanation:

Your equation is πR²

so 3.14(1²)

Which gives you 3.14

Answer:

A=3.14 square meters

Step-by-step explanation:

Use the equation A=3.14*r^2.

Sub in the numbers you know so 1.

A=3.14*1^2

Simplify.

A=3.14 square meters

Chloe has 18inches of red licorice.Reid has 6inchex of red licorice. what fraction of a yard of red licorice do Chloe and Reid have together. use numbers pictures or Words to show your thinking​

Answers

Answer:

2/3

Step-by-step explanation:

Chloe = 18inches of red licorice.

Reid = 6inches of red licorice

Total = 18 inches + 6 inches

= 24 inches

what fraction of a yard of red licorice do Chloe and Reid have together

Chloe and Reid have 24 inches altogether

1 yard = 36 inches

Fraction = 24 inches / 36 inches

= 2/3

3a+4b=5a-t Solve for a PLS help!!

Answers

Answer:

a= -t-4b/-2

Step-by-step explanation:

Answer:

(4b+t)/2=a

Step-by-step explanation:

3a+4b=5a-t

3a+4b+t=5a

4b+t=2a

(4b+t)/2=a

what is the distance between the points (0,-1) and (8,7)

Answers

[tex]Distance=\sqrt{(x_{2}-x_{1})^2(y_{2}-y_{1} )^2} \\\\\sqrt{(8-0)^2(7-(-1) )^2}\\\\\sqrt{8^2+8^2} \\\\\sqrt{64+64}\\\\ \sqrt{128} =8\sqrt{2} \\\\[/tex]

Answer:

11.3

Step-by-step explanation:

11.3

x² = 35
show your work

Answers

Answer:

x=±√35

Step-by-step explanation:

Take the square root of both sides of the equation to eliminate the exponent on the left side.

x=±√35

The complete solution is the result of both the positive and negative portions of the solution.

Write two numbers that multiply to the value on top and add to the value on bottom.
-72
Х
o
+
1

Answers

Answer: -8 and 9
Explanation: -8 x 9 = -72 and -8 + 9 = 1

Avery and Carmen both have summer jobs Avery gets paid $360 every four weeks, and gets paid $480 every six weeks summer break lasts a total of 12 weeks who earn more money during summer break every earns dollars per week Carmen earns dollars per week

Answers

Answer:

Avery earns $1,080 during summer

Avery weekly earnings = $1,080 / 12

= $90

Carmen earns $960 during summer

Carmen weekly earnings = $960/12

= $80

Carmen earns more money during summer break

Step-by-step explanation:

Avery payment = $360 every four weeks

Carmen payment = $480 every six weeks

summer break lasts a total of 12 weeks

Avery pay during summer = Total summer break weeks / 4 weeks × payment per 4 weeks

= 12 / 4 × $360

= 3 × $360

= $1,080

Carmen pay during summer = Total summer break weeks / 6 weeks × payment per 6 weeks

= 12 / 6 × $480

= 2 × $480

= $960

Avery earns $1,080 during summer

Avery weekly earnings = $1,080 / 12

= $90

Carmen earns $960 during summer

Carmen weekly earnings = $960/12

= $80

Carmen earns more money during summer break

Answer:

Step-by-step explanation:

Avery earns $1080 in 12 weeks

Carmen earns $960 in 12 weeks

find the rate of change for the table, then fill in the blank boxes with the correct values​

Answers

Answer:

Rate of change: +2 for x values and +20 for y values

Missing x values:6

Missing y values:60,80,100

How would I do this using Volume and units. I will mark Brainiest

Answers

Answer:

Sphere:

V=[tex]\frac{4}{3}[/tex]π[tex]r^{3}[/tex]V≈523.6 [tex]cm^{3}[/tex]

Cone:

V=π[tex]r^{2}[/tex][tex]\frac{h}{3}[/tex]V≈41.89 [tex]cm^{3}[/tex]

What are the solutions of this quadratic equation?
X2– 6x= – 58

Answers

Answer:

Solve the rational equation by combining expressions and isolating the variable

X

.

X

=

2

(

3

x

29

)

X

=

2

(

3

x

29

)

Step-by-step explanation:

Answer:

No real Solutions

Step-by-step explanation:

Step one: The coefficient on -6x is -6. So b= -6

Step two: Add (b/2)^2 to each side. in our case it is 9

x^2-6x+9= -49

Step three: Factor left side

(x-3)^2 = -49

Step four: take the square root

x-3 = ±√-49

Step five: add 3 to both sides

x = 3 ± √-49

So there is no real solutions

Which equation correctly applies the distributive property?


​−2.5⋅(4⋅1.045)=(−2.5⋅4)⋅1.045​

​50+1.015=(50⋅1)+(50⋅0.01)+(50⋅0.005)​

​−1.2⋅0.57⋅0.5=−1.2⋅0.5⋅0.57​

​(0.5⋅0.5)+(0.5⋅0.3)+(0.5⋅0.2)=0.5⋅(0.5+0.3+0.2)

Answers

Answer:

the last one

Step-by-step explanation:

In the last one, it takes all of the numbers in the one parentheses and distributes it to the 0.5.

Look at the picture. (sorry for the messy writing)

Answer:

last one

Step-by-step explanation: i did the quiz

How many hours are in 17 years? Write your answer in scientific notations with 3 sig figs.

Sig figs are: are the number of digits in a value, often a measurement, that contributes to the degree of accuracy of the value. We start counting significant figures at the first non-zero digit. Calculate the number of significant figures for an assortment of numbers.

Answers

Answer:

1.49 x [tex]10^{5}[/tex] hours

Step-by-step explanation:

1 day=24hours

1 year=365 days

365days=24 x 365=8760hours

17 years

= 8760hours x 17

=148920hours

=1.4892 x [tex]10^{5}[/tex]

= 1.49 x [tex]10^{5}[/tex] hours

Answer:

1.49 x  hours

Step-by-step explanation:

1 day=24hours

1 year=365 days

365days=24 x 365=8760hours

17 years

= 8760hours x 17

=148920hours

=1.4892 x

= 1.49 x  hours

a=4, b=2 and c=-3
who wanna tell me the answer lol my Photomath won’t tell me

Answers

Answer:

-23

Step-by-step explanation:

Answer:

-23

Step-by-step explanation:

Just plug in the values of the variables into the expression. You'll get -4(10)/2 - 3. That equals -20 - 3, or -23.

What is the equation of function g

Answers

Answer:

i needed points to ak a question

Step-by-step explanation:

multiple of 3 between 2 and 20​

Answers

Answer:

6, 9, 12, 15, and 18

Step-by-step explanation:

Multiples of 3 between 2 and 20 are

3,6,9,12,15,18 .

Please give me thanks if this helped.

how do you find the LCM??

Answers

Look at the multiples of the two numbers and find the lowest one that matches e.g.

7 = 7, 14, 21, 28

4= 4, 8, 12, 16, 20, 24, 28

28 is the LCM of 7 and 4

Answer:

Step-by-step explanation:

one away to find to find the least common multiple of two numbers is to first list the prime factors of each number. Then multiply each factor the greatest number of times it occurs in either number . if the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.

Two airlines each made 30 flights. The dot plots shown compare
how many minutes the actual arrival times were before or after
the scheduled arrival times of these flights.
Negative numbers represent the minutes the flight arrived before its scheduled time.
Positive numbers represent the minutes the flight arrived after its scheduled time.
Zero indicates the flight arrived at its scheduled time.
Assuming you want to arrive as close to the scheduled time as possible, from which
airline should you buy your ticket? Justify your response by addressing both the
measures of center and spread of the distributions.

Answers

Answer: Airline P since the median is lower and the SDR is lower

Step-by-step explanation:

NEEDDDD HELP WILL MARK BRAINLIEST

Answers

Answer:

d hopes this helps'

Step-by-step explanation:

Answer:

A (the first one)

Step-by-step explanation:

The graph of a quadratic function, y=x?. is reflected over the x-axis. Which of the following is the equation of the
transformed graph?

Answers

Answer:

x = -y

or

-y = x

Step-by-step explanation:

since you reflect it over the x axis, the y changes to a negative

Answer:

its A on edgy

Step-by-step explanation:

What is the only natural lake in Texas?
a.
Caddo Lake
b.
Canyon Lake
c.
Limestone Lake
d.
Arrowhead Lake



Please select the best answer from the choices provided


A
B
C
D

Please answer ASAP im timed

Answers

A - Caddo Lake

Hope this helps! :D
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