21. Describe a real-life situation that can be modeled by an absolute-value equation
with the solutions x = 5 and x = 10.
Will give Brainly

Answers

Answer 1

The absolute value of a number returns the positive value of the given number. A real life situation that describes the scenario is:

"the point which a boy stands if the boy is standing 2.5 meters away from the 7.5 meters point."

Given that:

[tex]x = 5\ or\ x = 10[/tex]

An example of real life situation is as follows:

Calculate the point which a boy stands if the boy is standing 2.5 meters away from the 7.5 meters point.

Represent the point at which the boy stays with x. So, the situation is represented as:

[tex]|x - 7.5| = 2.5[/tex]

Remove absolute brackets

[tex]x - 7.5 = 2.5\ or\ x - 7.5 = -2.5[/tex]

Solve for x

[tex]x = 7.5+2.5\ or\ x = 7.5-2.5[/tex]

[tex]x = 10\ or\ x = 5[/tex]

Hence, the value of x is 5 or 10

Read more absolute values at:

https://brainly.com/question/1301718


Related Questions

Find the common difference of the arithmetic sequence -6, 2, 10, ...

Answers

Answer:

8

Step-by-step explanation:

Ted mixed together 3 gal. of Brand A fruit
drink and 6 gal. of Brand B fruit drink
which contains 20% fruit juice. Find the
percent of fruit juice in Brand A if the
mixture contained 25% fruit juice.

Answers

Answer:

The mixture for Brand A fruit is 5%.

Geometry question. “Find the value of x that will make A||B.” Brainliest to whoever is correct

Answers

Answer:

Step-by-step explanation:

The two angles are interior angles on the same side of the transversal. They are supplementary.

2x + 50 + 5x - 80 = 180             Combine like terms

7x - 30 = 180                              Add 30 to both sides

7x = 210                                     Divide by 7 on both sides

x = 210/7

x = 30

please help me solve this
(3/4)^2+1/8+1/4•3/2= ?

Answers

Answer:

This was a little tricky but the answer is 2 7/16

Step-by-step explanation:

15

16

+

3

2

=  

15

16

+

3 × 8

2 × 8

=  

15

16

+

24

16

=  

15 + 24

16

=  

39

16

=  

2 7/16

Find the value of y.

Answers

y = 118
thats my answer

Find
Answers
80
170
100
10

Answers

Answer:

answer ..... 80. Is,it true ??

499 rounded to the nearest ten is
510
500
490

Answers

Answer:

500

Step-by-step explanation:

Since we are rounding to the tens place, that is the second value in the number 499. Remember these details when rounding;

4 and below round down5 and above round up

Since we have a 9, we round up get and 500.

Best of Luck!

Answer:

499 rounded to the nearest tenth is 500.

Step-by-step explanation:

499 rounded to the nearest tenth is 500 because, every tenths place is + 10

the closest tenth 499 is closest to would be 500.

Hope this helped :)

Name a pair of angles that are a linear pair

Choose the correct answer below.
A. B. C. D.

Answers

Answer:

a but

Step-by-step explanation:

i think a

What type of triangle has side lengths 2, 712, and 19?

Answers

Answer:

OPTION B

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

measure of angle JKM if measure of angle JKL = 42° and measure of angle LKM = 28°

Answers

Answer:

80 degrees

Step-by-step explanation:

add both the angles

hi guys i need help with this problem ASAP! Thanksss

Answers

Answer:

56

Step-by-step explanation:

There are 8 members therefore if each other makes an exchange to one another, that would be 7 exchanges per person. 8*7= 56

8 * 7 = 56

I Think I am not Sure , Sorry......

[tex]\huge\mathfrak\green{ hope \: it \: helps}[/tex]

Can anyone help me find w

Answers

Hmmmmmm ok you add everything up then subtract it all

anyone know this question: 16) -8(-21 - 2) - 6​

Answers

Answer:178

Step-by-step explanation:

distribute, multiply -8 with - 21 and -2 . that would get you 168 + 16 - 6. add the 168 and 16, it equals 184, then subtracts it with a 6.

the expression for perimeter of a rectangle
with a length of (x + 7) and a width of (2x)

Answers

Answer:

P = 6x + 14

Step-by-step explanation:

P = 2l + 2w

where P is perimeter, l is length, and w is width

l = x + 7

w = 2x

So P = 2(x+7) + 2(2x)

Distribute the 2 to the x and 7.

P = 2*x + 2*7 + 2*2x

Multiply each term out

P = 2x + 14 + 4x

Group the xs

P = 2x + 4x + 14

Combine like terms

P = 6x + 14

help me please???????​

Answers

Answer:

(√2) / 3

Step-by-step explanation:

√(2/9) =√(2/3^2) =(√2)/3

Answer:

It is

[tex]{ \underline{ \sf{ \frac{ \sqrt{2} }{3} }}}[/tex]

Step-by-step explanation:

[tex] \sqrt{ \frac{2}{9} } \\ \\ = \frac{ \sqrt{2} }{ \sqrt{9} } \\ \\ = \frac{ \sqrt{2} }{3} [/tex]

Kai took a trip from Stratford to Paris in 2013, and needed to exchange 500 British
pounds for euros. The exchange rate was 1 pound to 1.23 euros. How many euros did Kai
receive in this exchange?

Answers

Answer:

500pounds×1.23euros

=615euros

I don't understand what the question is asking.

Answers

Answer:

You are supposed to find how much 2 packages of chicken costs when each package is 12.36, 1/2 lb of broccoli when one pound costs 1.98, and 1 gallon of milk with 3.49 per gallon. After that, you need to find how much Susan paid with when she recieved 80 cents in change.

(2*12.36)+(1.98*0.5)+3.49+0.80=x

find out what x is to get the answer.

what is 0.714285 repeating as a fraction

Answers

Answer:

5/7 i believe thats the answer to your question

here is a sequence of number 7, 5 ,3 ,1, - 1 find the next term in the sequence​

Answers

Answer:

-3

Step-by-step explanation:

in every term we subtract 2 so

7-2=5

so in every answer subtract 2

5-2=3

3-2=1

1-2=-1

-1-2=-3

Answer:

- 3

Step-by-step explanation:

There is a common difference between consecutive terms in the sequence, that is

5 - 7 = 3 - 5 = 1 - 3 = - 1 - 1 = - 2

Thus subtracting 2 from the last term shown gives the next term

- 1 - 2 = - 3

Find the 7th term of the geometric sequence shown below
10x^3, 40x^8, 160x^13,…

Answers

Answer:

[tex]a_7=40960x^{33}[/tex]

Step-by-step explanation:

Geometric sequence has explicit form:

[tex]a_n=a \cdot r^{n-1}[/tex] where [tex]a[/tex] is first term and [tex]r[/tex] is the common ratio.

First term here is [tex]a=10x^3[/tex] and [tex]r[/tex] could be found by doing second term divided by first term, [tex]\frac{40x^8}{10x^3}=4x^5[/tex].

Therefore the [tex]n[/tex]th term is given by

[tex]a_n=10x^3 \cdot (4x^5)^{n-1}[/tex].

So the [tex]7[/tex]th term is given by

[tex]a_7=10x^3 \cdot (4x^5)^{7-1}[/tex].

Let's simplify:

[tex]a_7=10x^3 \cdot (4x^5)^{7-1}[/tex]

[tex]a_7=10x^3 \cdot (4x^5)^{6}[/tex]

[tex]a_7=10x^3 \cdot (4^6(x^5)^6)[/tex]

[tex]a_7=10x^3 \cdot (4096x^30)[/tex]

[tex]a_7=40960x^{33}[/tex]

What is the slope of any line that is perpendicular to y=1- x?

Answers

Answer:

y = x + 1

Step-by-step explanation:

y = -x + 1

y = x + 1

Simplify.


18 2+6(4+1) -2

Answers

Answer:

[tex]1)18 \times 2 + 6(4 + 1) - 2 \\ = 36 + 6 \times 5 - 2 \\ = 36 + 30 - 2 \\ 36 + 28 \\ = 64 \\ \\ thank \: you[/tex]

Answer:

18×2+6(4+1)-2

= 36+6×5-2

= 36+30-2

= 66-2

=64

(-4, 6) and (3,-7)
Find the distance between each pair of points

Answers

Answer:

14.76482306

Step-by-step explanation:

distance equals the square root of (x2-x1)^2 + (y2-y1)^2.

think of your ordered pairs as set 1 and set 2. (-4, 6) would be set 1 and (3, -7) would be set 2. so your equation will look similar to: (3- -4)^2 + (-7-6)^2 then you square root the whole thing and you will have your answer.

Kenya plans to make a down payment plus monthly payments in order to buy a
motorcycle. At one dealer she would pay $2,250 down and $200 each month. At
another dealer, she would pay $2,850 down and $175 each month. After how
many months would the total amount paid be the same for both dealers? What
would that amount be?
After
months Kenya will have paid $
for the bike at either dealer.

Answers

Answer:

Step-by-step explanation:

2500+150x=3000+125x

150x-125x=3000-2500

25x=500

x=500/25

x=20 mo

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

2500+150*20=3000+125*20

5500=5500 total paid after twenty months

Hope this is helpful

Question in photo. Please explain it too

Answers

Answer: C) 44 minutes

=============================================================

Explanation:

Let's say that all of the 11 songs are 2 minutes each, which is just a bit under the "2 minute 1 second" mark of the shortest song. I'm going for the lowest time value possible and rounding to the nearest minute.

This would mean the entire album is 2*11 = 22 minutes long. This is the lower bound or the shortest the album can be.

If we go to the other end of the spectrum, and say each song is 6 minutes (I rounded "5 minutes 37 seconds" up to the nearest minute), then the album is now 6*11 = 66 minutes long. This is the upper bound or the longest the album can be.

While we don't know how long the album is exactly, due to the fact we don't know the individual song lengths (other than the shortest and longest songs), we do know 100% that the album length is somewhere between 22 minutes and 66 minutes.

In other words, 22 < x < 66 where x is the album length in minutes.

Of the four answer choices, 44 is the only one that fits, i.e. 22 < 44 < 66.

So I would say 44 minutes is a reasonable estimate. Or better yet, we can rule out 4 minutes, 88 minutes and 10 minutes as they don't fit in the interval 22 < x < 66.

7
If 8(x - 2y) = 16x, then what is x in terms of y?


Answers

Answer: y = -1/2x

8(x - 2y) = 16x

8x -16y = 16x

-16y      = 16x-8x

-16y      = 8x

-16y/-16= 8x/-16

        y = -1/2x

Randy and Trey take turns cleaning offices on the weekends. It takes Randy at most 4 hours to clean the offices. It takes Trey at most 6 hours to clean the offices. What is the greatest amount of time it would take them to clean the offices together?
2.4 hours
2.5 hours
3.0 hours
4.0 hours

The answer is supposedly 2.4 hours, but how ?? Please explain. Thanks!

Answers

In one hour Randy cleans at least 1/4 of the offices and in one hour Trey cleans at least 1/6 of the offices.

Working together they would clean at least 1/4 + 1/6 = 5/12 of the offices.

Let x be the greatest amount of time it would take them to clean the offices together. Then we can write the following equation:

5x/12=1

a times b whole cube

Answers

Answer:

i don't know what's the question

Step-by-step explanation:

like I don't know

The track team needs new uniforms. the students plan to sell candies. the students find three companies for 44.80. company c charges

Answers

Answer:  Answer:

Company C

Step-by-step explanation:

Company A sells 12 tigers for $33.24.

Cost per tiger = $33.34 / 12

= $2.78

Company B sells 16 tigers for $44.80. Company

Cost per tiger = $44.80 / 16

= $2.8

C charges $41.10 for 15 tigers.

Cost per tiger = $41.10 / 15

= $2.74

The company that has the best buy is company C that charges $2.74 per tiger

Brainliest please

PLS TELL ME HOW THIS TRICK WORKED!! I HAVE TO SUBMIT KT SOON!

Answers

Answer:

x=2

Step-by-step explanation:

let the unknown number be x

now we are to find x regarding the question as an equation, let's form the equation to solve for x

the interpretation of the question is:

(x² + x)/3 = x

by collecting the like terms:

(x²+ x) = 3x

x² + x = 3x

x² = 3x - x

x² = 2x

x = 2

Answer:

The number you thought to start with, X

Step-by-step explanation:

Magician's secret:

Step 1: Let the original number you thought of be X

Step 2: 2 × x = 2X

Step 3: 2X + X = 3X

Step 4: 3X/3

》X

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