Solve the equation x – 5 = 0.1(x + 5) for x

Answers

Answer 1

Answer:

Step-by-step explanation:

x - 5 = 0.1(x +5)

x - 5 = 0.1x + 5*0.1

x -5 = 0.1x + 0.5 {Add 5 to both sides}

  x = 0.1x + 0.5 + 5

  x = 0.1x + 5.5

x -0.1x = 5.5      {subtract 0.1x from both sides}

  0.9x =5.5         {Divide both sides by 0.9}

        x = 5.5/0.9

       x = 55/9

       x = 6 1/9

Answer 2

Answer:

          x = ⁵⁵/₉ = 6¹/₉  

Step-by-step explanation:

x - 5 = 0.1(x + 5)           {multiply both sides by 10}

10x - 50 = x + 5            {subtract x from both sides}

9x - 50 = 5                   {add 50 to both sides}

9x = 55                         {divide both sides by 9}

x = ⁵⁵/₉ = 6¹/₉


Related Questions

Please help and please don't answer just for the points I'll report you

Answers

Answer:

Length of sandbox (3w + 1) = 9.1 m

Width of sandbox = 2.7 m

Step-by-step explanation:

[tex]w(3w + 1) = {5}^{2} \\ \\ 3 {w}^{2} + w = 25 \\ \\ 3 {w}^{2} + w - 25 = 0 \\ \\ equating \: it \: with \\ \\ a {x}^{2} + bx + c = 0 \\ \\ a = 3 \\ b = 1 \\ c = - 25 \\ \\ {b}^{2} - 4ac \\ = {1}^{2} - 4 \times 3( - 25) \\ \\ = 1 + 300 \\ \\ = 301 \\ \\ w = \frac{ - 1 \pm \sqrt{301} }{2 \times 3} \\ \\ w = \frac{ - 1 \pm 17.3493516 }{6} \\ \\ w = \frac{ - 1 \pm 17.3493516 }{6} \\ \\ considering \: only \: + ve \: sign \\ \\ w = \frac{ - 1 + 17.3493516 }{6} \\ \\ w = \frac{16.3493516 }{6} \\ \\ w = 2.72489193 \\ \\ w = 2.7 \: m[/tex]

3w + 1 = 3*2.7 + 1 = 8.1 + 1 = 9.1 m

Stefan sells Jin a bicycle for ​$125 and a helmet for ​$18. The total cost for Jin is ​130% of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend​ originally? How much money did he make by selling the bicycle and helmet to​ Jin?

PLEASE TELL ME AN ANSWER, THIS TEST IS DUE IN 5 MINUTES.

Answers

Answer: The selling cost for Stefan bicycle = $114 and

the selling cost of a helmet = $18.

The total cost for Jin is 120% of the money spent.

Let us assume purchasing cost of a bicycle = $x.

Purchasing cost of a halmet = $y.

For bicycle

120% of x is $114  

=>  1.20 × x = 114

Dividing both sides by 1.20, we get

x=$95.

For helmet.

120% of y is $18.

=> 1.20 × y = 18.

Dividing both sides by 1.20, we get

y = $15.

Therefore, Stefan spent originally to buy a bike $95 and $15 to buy a helmet.

$114 - 95 = $19

$18 - 15 = $3.

Therefore, he made $19 by selling the bicycle and $3 by selling the helmet to Jin.

Hope this helps have a awesome night/day❤️✨

Step-by-step explanation:

Divide 144g in the ratio 7: 11​

Answers

Answer:

88:56 = 11:7

Step-by-step explanation:

Step One

Add the two ratios together 11 + 7 = 18

Now set up a ratio to solve for 11 parts out of 18

11:18 = x:144         Proportion

11 / 18 = x / 144    Equation: Cross mulitiply

11*144 = 18x         Combine the left side

1584   = 18x         Divide by 18

1584 / 18  = x

88 = x

That is the larger amount (11 is larger than 7)

Find the smaller amount

144 - 88 = 56

The two amounts are in the ratio of 11:7

88:56 = 11:7  

I hopes this helps a little  bit

Answer:

56g and 88g

Step-by-step explanation:

7x+11x=144

18x=144

x=144/18

x=8

7x=7*8=56g

11x=11*8=88g

3. In a right triangle, the altitude from the right angle to the hypotenuse divides the
hypotenuse into two segments. The length of the altitude is the geometric mean of the
lengths of the two segments.
A. Theorem 9.1
B. Theorem 9.2 C. Theorem 9.3

Answers

Answer:

Step-by-step explanation:

Statistics help please!!! I have no idea what to do!

Zoom in to see clearer! Please don't answer just for points I really need help​

Answers

Answer:

not sure tbh

Step-by-step explanation:

Find the sale price of a $45 item after a 20% discount.

Answers

Answer:

36$

Step-by-step explanation:

the answer is $36, becau

Solve the following quadratic equation.
(1 - 18)2 = 1
OA
x = 19 and x = 17
OB.
x= -19 and x = .17
OC. x= -19 and x = 17
D.
x = 19 and x=-17

Answers

Given:

Consider the given equation is

[tex](x-18)^2=1[/tex]

To find:

The values of x.

Solution:

We have,

[tex](x-18)^2=1[/tex]

Taking square root on both sides, we get

[tex]x-18=\pm\sqrt{1}[/tex]

[tex]x-18=\pm 1[/tex]

Adding 18 on both sides, we get

[tex]x-18+18=\pm 1+18[/tex]

[tex]x=\pm 1+18[/tex]

Now,

[tex]x=1+18[/tex] and [tex]x=-1+18[/tex]

[tex]x=19[/tex] and [tex]x=17[/tex]

Therefore, the correct option is A.

Steph has 7 gallons of water josh has 26 quarts of water how many more cups of water does Steph have than josh

Answers

Answer:

8 CUPS

Step-by-step explanation:

We have to convert gallons and quarts to cups and subtract the values

1 gallon = 16 cups

7 gallons = 7 x 16 = 112 cups

1 quart = 4 cups

26 quarts = 26 x 4 = 104 cups

112 - 104 = 8 cups

Help I just want to know if this is cos, sin, or tan?

(This is geometry)

Answers

Answer:

it's cosine

Step-by-step explanation:

cos45° = x/17

cos = adjacent / hypotenuse

cos 45° = x/17

17 cos 45° = x

x = 12.0202...

x = 12.0 (nearest tenth)

PLEASE HELP ME!!! ILL MARK BRAINLIESY

Answers

Answer:

So, the answer is 7 y

Step-by-step explanation:

Both arrows are pointing toward the 7 and it is in y! I have been in 12 grade already so dont worry :)

Help I will be marking brainliest!!!

A. 4.95 feet
B. 21.44 feet
C. 22.58 feet
D. 21.99 feet

Show work, if possible. Thanks❤️

Answers

Answer:

B

Step-by-step explanation:

A right triangle is formed by the ground, the side of the house and the ladder.

The hypotenuse is the ladder

let the side of the house be h

Using the sine ratio in the right triangle formed, then

sin77° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{h}{22}[/tex] ( multiply both sides by 22 )

22 × sin77° = h , then

h ≈ 21.44 ( to the nearest hundredth )

The ladder reaches 21.44 ft up the side of the house

If Evan has 3 Jars of Cookies and each jar holds 18 cookies how many cookies does Evan have?

Answers

Answer:54 cookies in total

Step-by-step explanation: 3x18=54

Answer: 54 cookies in all

Step-by-step explanation: Evan has 54 cookies because if you do 18x3 you get 54, or if you do 18+18+18 you get 54.

=

please help me 8th grade math i’ll give brainliest fastest answer

Answers

Answer:

Neither

Step-by-step explanation:

y - 4 = 7(x - 6)

y - 4 = 7x - 6

  +4         +4

y = 7x - 2

______________

y = 5

x = 4

5 = 7(4) - 2

5 = 28 - 2

5 = 26

No

______________

y = 5

x = 6

5 = 7(6) - 2

5 = 42 - 2

5 = 40

No

Hope this helped! Have a nice day! Plz mark as brainliest!!! :D

-XxDeathshotxX

how many rectangles with an area of 10 square feet can fit within a large rectangle with dimensions 25 feet by 40 feet?​

Answers

Answer:

100 small rectangles

Step-by-step explanation:

Number of small rectangles = Area of large rectangle ÷ area of small rectangle

               [tex]= \frac{25*40}{10}\\\\= 25*4\\= 100[/tex]

A person who is six feet tall casts a 3-foot-long shadow. A nearby pine tree casts a 15-foot-long shadow.

What is the height h of the pine tree?

Answers

Answer:

30 feet

Step-by-step explanation:if a man 6 feet talll cast a 3 foot shadow that means its half how tall u are so the pine is 30 feet tall and cast a 15 foot shadow

GIVING BRAINLIEST!!!!

If the total length of all the meteors were distributed equally between each meteor, how long would each one be?


If the total length of all the meteors were distributed equally between each meteor, how long would each one be?


A) one and one thirty sixth inches
B) one and one thirty eighth inches
C) one and one fortieth inches
D) one and one forty second inches

Answers

Answer:

I DID THE QUIZ!

Step-by-step explanation:

The answer is

1  1/40

An ice cream factory makes 120 quarts of ice cream in 2 hours. How many quarts could be made in 36 hours?

Answers

Answer:

2,160

Step-by-step explanation:

Answer:

2160 quarts in 36 hours would be made

Step-by-step explanation:

120÷2=60

60×36=2160

Calculate the rise and run between any two coordinates to find the slope of each line ...

Answers

For the first one its a slope of -2/3

The second one is 4/5

and the third one is -1/7

1) The region enclosed by the x-axis, the line x=3 and the curve y = sq. Rt x is rotated about the x-axis. What is the volume of the solid generated? *

Answers

Using the disk method, the volume would be

[tex]\displaystyle \pi \int_0^3 (\sqrt x)^2 \,\mathrm dx=\pi \int_0^3 x\,\mathrm dx=\frac\pi2 x^2\bigg|_0^3=\boxed{\frac{9\pi}2}[/tex]

That is, you split up the solid into disks of some small height ∆x, and each disk has radius at point x equal to the distance (√(x)) from the axis of revolution (the x-axis, y = 0) to the curve y = √(x). The volume of such a disk is then π (√(x))² ∆x. Take the sum of these volumes to get the total volume, then as the heights get smaller and smaller, replace ∆x with dx and the sum with the integral.

In this exercise we have to use the knowledge of the integral to calculate the volume of the disk that will correspond to:

[tex]V= \frac{9\pi }{2}[/tex]

That is, you split up the solid into disks of some small height ∆x, and each disk has radius at point x equal to the distance (√(x)) from the axis of revolution (the x-axis, y = 0) to the curve y = √(x). The volume of such a disk is then π (√(x))² ∆x. Take the sum of these volumes to get the total volume, then as the heights get smaller and smaller, replace ∆x with dx and the sum with the integral. Using the disk method, the volume would be:

[tex]\pi \int\limits^3_0 {(\sqrt{x})^2} \, dx = \pi \int\limits^3_0 {x} \, dx = \frac{\pi x^2}{2} = \frac{9 \pi }{2}[/tex]

See more about volume at brainly.com/question/1578538

find the area of the shaded area​

Answers

answer: 60cm^2
explanation: do 12 x 4 to find the big rectangle, then add that to the triangle which is 4 x 3.

Answer:

52 cm ^ 2

Step-by-step explanation:

the big rectangle area: 12 x 4 = 48 cm ^2
the small triangle area: 1/2 Bh = 1/2 (4 ) (3) =  12/2 = 6 cm^s

Area of the shade: 48 + 6 = 52 cm^2

What is the EXACT circumference of a circle that has a radius of 10 cm? Use "pi" to represent the pi symbol in your answer if necessary. ex. 15 times pi would be written as 15pi. ?

Answers

Answer:

62.8

Step-by-step explanation:

c = 2 pi r

c = 2 * 3.14 * 10

c = 62.8

An apple pie that has a 9-inch diameter is cut into six pieces. Lucas takes one slice of pie and sprays whipped cream in an arc along the curved edge of his piece. What is the length of Logan's arc
of whipped cream?
A
4.71 in
B
9.42 in
С
18.8 in
D
10.6 in

Answers

the answer would be A 4.71 inches

HELP!!!!!!!If a 0.27 cm long crystal appears to be 13.5 cm long under a
microscope, what is the power of the microscope?

Answers

Answer:

50 times magnification

Step-by-step explanation:

13.5/0.27

Lisa is going on a 3 3/4 mile hike. She has already hiked 1 1/4 miles. How many more miles does she have left to hike?

Answers

Answer:

C = 2½ miles.

Step-by-step explanation:

Let the total distance be A

Let the distance covered be B.

Let the unknown distance (distance left) be C.

Given the following data;

A = 3¾ miles

B = 1¼ miles

To find the distance left to hike;

A = B + C

Substituting into the equation, we have;

3¾ = 1¼ + C

C = 3¾ - 1¼

C = (3 - 1) ¾ - ¼

C = 2 2/4

C = 2½ miles.

Method II.

We would convert the mixed fraction into a proper fraction:

A = 3¾ = (4*3 + 3)/4 = 15/4

B = 1¼ = (4*1 + 1)/4 = 5/4

C = 15/4 - 5/4

C = 10/4

C = 5/2

C = 2½ miles.

PLS HELP I'LL GIVE THE BRAINLEST
Select the correct graph
Paul wants to visit his aunt who lives 300 miles away from his house. He drives his car at about 50 miles/hour. If x represents the time spent driving and y represents the distance from his aunt's house, which scatter plot could represent this situation?​

Answers

Answer: The graph on bottom right

Step-by-step explanation:

It’s the only one that correctly depicts the time (6 hours) and distance (300 miles) traveled. Starting at zero miles and zero drive time, it’s the only one that goes through 300 miles over a period of 6 hours.

Answer:

top right

Step-by-step explanation:

sorry if wrong

A vidoe game costs 29.35 dollars at one store and 32.79 at another store genarte two equivelnts expressions and then find how much more 4 video games cost at the second store

Answers

Answer:

$13.76

Step-by-step explanation:

Cost at store A = $29.35

Cost at store B = $32.79

Difference in price at both stores :

Difference = store B - store A

Difference in price = $32.79 - $29.35 = $3.44

Extra cost to f purchasing 4 video games at store B:

Difference in price * number of video games

$3.44 * 4 = $13.76

Hello people I can use some help

Answers

Answer:

The inverse operation is division

GUYS QUICK IT DUE AT 10:15
Tyrone wants to know how much wrapping paper is needed to cover a box with the dimensions shown.

What is the surface area of the box?

Answers

Answer:

18

Step-by-step explanation:

if i get it wrong sorry :(

someone help me here please!!

Answers

You put this on the mathematics section and it’s science.

Help me with this please! And thanks

Answers

The answer is 6,8,10.

Not only it is in perfect ratio with 3,4,5 as stated above, it also proves right in the equation. I can assume that a=6,b=8,and c=10, so [look in image]

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