What is the solution to the linear equation?
2/3x-1/2=1/3+5/6x

Answers

Answer 1

Answer:

x = -5

Step-by-step explanation:

2/3x - 1/2 = 1/3 + 5/6x

add 1/2 to each side of the equation:

2/3x = 5/6 + 5/6x

subtract 2/3x from both sides:

0 = 5/6 + 1/6x

subtract 5/6 from both sides:

1/6x = - 5/6

multiply both sides by 6:

x = -5


Related Questions

Please help! Needed ASAP

Answers

Answer:

7)Bagel costs $3.5 and muffin cost $1.25

8) Ticket is $9 while snacks are $2

9) Correct because left hand side is zero

10) Correct because they both have same slope and same y-intercept

Step-by-step explanation:

7) Let bagel be x and muffin be y.

Thus;

For Aaron;

x + 3y = 7.25 - - - (1)

For bee;

x + 2y = 6 - - - (2)

Subtract eq 2 from eq 1 to get;

y = 1.25

Put 1.25 for y in eq 2;

x + 2(1.25) = 6

x + 2.5 = 6

x = 6 - 2.5

x = 3.5

Bagel costs $3.5 and muffin cost $1.25

8) Let movie ticket be x and snacks be y.

Thus;

2x + 3y = 24 - - - (1)

3x + 4y = 35 - - - (2)

Multiply eq(1) by 3 and eq(2) by 2 to get;

6x + 9y = 72 - - - (3)

6x + 8y = 70 - - - (4)

Subtract eq 4 from eq 3 to get;

y = 2

Put 2 for y in eq 3;

6x + 9(2) = 72

6x + 18 = 72

6x = 72 - 18

6x = 54

x = 54/6

x = 9

Ticket is $9 while snacks are $2

9) using elimination, subtract eq 1 from eq 2, we will see that the entire left hand side is equal to zero.

Thus, no solution exists because we can't isolate the variable to get an answer.

10) The answer is correct because for a system of 2 simultaneous equations to have infinite solutions, they both have to have the same y-intercept and also same slope.

In this case, their y-intercept which is when x is 0 is;

3(0) + y = 9

y = 9

Their slope is also the same equal to 3.

The given graph represents the function f(x) = 2(5)^x
[tex]f(x) = 2( {5})^{x} [/tex]
How will the appearance of the graph change if the a value in the function is decreased, but remains greater than 0​
a) the graph will increase at a slower rate
b) the graph will show a decreasing, rather than increasing, function
c) the graph will show an initial value that is lower on the y-axis
d) the graph will increase at a constant additive rate, rather than a multiplicative rate

Answers

Answer:

C

Step-by-step explanation:

in exponential equations f(x)=ab^x , a is the intial amount while b is the growth factor. you are just decreasing a so the intial value is lower (=^w^=)

Answer:

Step-by-step explanation:C

11 out of the 22 employees at the sports shop are part-time employees. What percentage of the employees at the sports shop work part-time?

Answers

Answer:

50% of the employees work part time.

Step-by-step explanation:

11/22=0.5

0.5 *100=50

a percent of
Yidosol 3,3,200
are
7
boys. What percent of the class are boys?
In a class where the number of girls is 36% of the total number, there are 48
boys. How many students are there in the class?
Challenge Problems
8. The total attendance at aconcert in a theater hall was 1500, of this total 400
children, 850 were women, and the remaning were men. Find the
were
percent of the total attendance represented by:
a. Children
b. Women
c. Men
. The base is one greater than the amount. If the percentage is 93.75, then fin
the amount and the base.
10. Hiwot has Birr 46,000 in her account. If she plans to invest 26% of
saving in establishing a kindergarten, find the
int required​

Answers

Answer:

aeafscgefgdderhgdthdg

Find the gradient of the line segment between the points (2,3) and (4,7)

Answers

Answer:

1/2

Step-by-step explanation:

take change in X divided by change in Y values

Transformations of Functions (A1)

The graph of y=f(x) is the solid black graph below. Which function represents the dotted graph?

A: y=f(x−1)−1

B: y=f(x−1)+1

C: y=f(x+1)+1

D: y=f(x+1)−1

Answers

Answer:

D

Step-by-step explanation:

Pretty sure it’s f(x-1)+1

What is the value of K?

Answers

The value of K is 10

Can someone please explain the area of a circle in the simplest way possible, no links

Answers

So, for the area of a circle, there should be a line in the middle. Correct?

Well, that line is the diameter. Then cut that in half, so if the diameter is 6, the radius is 3.

Then multiply the the radius by the radius, so 3x3 once you get that, multiply the answer by pi. Pi= 3.14, so if you do 3x3x3.14 you should get 28.26. Hope this helps.

Help plsssss ......................

Answers

Answer:

3/5 of the lawn was mowed

Step-by-step explanation:

1/5 + 2/5 = 3/5

Answer:

3/5

Step-by-step explanation:

1/5+2/5=3/5

What is the approximate area of the circle shown below

Answers

Area of circle= pi r^2
We don’t have the radius so to find it we divide the diameter by 2
70/2= 35
A=pi 35^2
=3849.9in^2
Or choice B

Answer:

the approximate area of corcle is 3848

[tex]diameter = 70in \\ radius = \frac{70}{2} \\ = 35in \\ area = \pi \: r {}^{2} \\ = \pi \: 35 {}^{2} \\ = 3848.45in {}^{2} [/tex]

What is the solution to the inequality below?

x² > 81

A.

B.

C.

D.​

Answers

Answer:

C. x > 9, x < - 9

Step-by-step explanation:

x² > 81 √x² > √81|x| > 9x > 9, x < - 9

Correct choice is C

What is the volume of the rectangular prism below?

Answers

Answer:

148.8 cm

Step-by-step explanation:

Length * width * height = volume

9.3 * 4 * 4 = 148.8

IM DESPERATEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE *sniff* ;-;

Answers

Answer

1-right

2-not a triangle

3-acute

4-obtuse

5-right

6-obtuse

7-acute

Step-by-step explanation:

Andre swims 5 laps in just 4 minutes, if Andre swam 22 laps, how many minutes did it take him? Please I need answer as fast as you can type. This answer is worth 200% of my grade, it could make me go from A to a literal Z

Answers

Answer: 17.6 minutes

Step-by-step explanation: im not sure if u can use decimals tho

if Andre swam 5 laps in 4 minutes, that means it took him 0.8 minutes to swim each lap. 0.8 times 22 = 17.6 so it took him 17.6 minutes to swim 22 laps.

01:16:12
What are the dimensions of the rectangle?
A rectangle has an area of 40 square units. The length
is 6 units greater than the width
O 8 by 5
10 by 4
11 by 9
13 by 7

Answers

Answer:

its b

Step-by-step explanation:

The requried dimensions of the rectangle are 10 by 4. Option B is correct.

What is a rectangle?

The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°.

Here,
To solve the problem, we can use the formula for the area of a rectangle, which is:

area = length x width

We also know that the length is 6 units greater than the width, which we can express as:

length = width + 6

We can substitute this expression for length into the formula for area, giving us:

area = (width + 6) x width

area = width² + 6width

We are given that the area is 40 square units, so we can set up the equation:

40 = width² + 6width

We can rearrange this equation into the standard quadratic form:

width² + 6width - 40 = 0

We can then use the quadratic formula to solve for the width:

width = (-b ± √(b² - 4ac)) / 2a

Plugging in the values of a, b, and c from the quadratic equation above, we get:

width = (-6 ± √(6² - 4(1)(-40))) / 2(1)

width = (-6 ± √(196)) / 2

width = (-6 ± 14) / 2

So we have two possible values for the width:

width = (-6 + 14) / 2 = 4

or

width = (-6 - 14) / 2 = -10

Since the width cannot be negative, we can reject the second solution. Therefore, the width of the rectangle is 5 units.

We can use the expression for the length in terms of the width to find the length:

length = width + 6 = 4 + 6 = 10

Therefore, the dimensions of the rectangle are 10 by 4.

Learn more about rectangles here:

brainly.com/question/15019502

#SPJ7

Eva's mother will add $5 to all other
donations that she collects for the school
fund drive.
Let a = all other donations.
Let t = total donations.
Graph t = a + 5.

Answers

Answer:

hope it helps you...

The points of the graph are (10,15)(20,25)(5,5)

Step-by-step explanation:

A store applies a 120% markup to an item and sells it for $80.08. What was the value of the item before the markup was added?

Answers

Answer:

66.7333

Step-by-step explanation:

if 120 =80.08 what about 100

100×80.08÷120

=66.733

please help im am really stuck on this​

Answers

Answer:

-81,-294

Step-by-step explanation:

-36-27-18

=-81

-117-98-79

=-294

please mark as brainliest

A donut shop made 32 chocolate donuts one morning. The chocolate donuts were 40% of the total number of donuts made that morning. How many donuts were made, in all

Answers

Answer:80

Step-by-step explanation:

PLEASE HELP, I WILL MARK BRAINLIEST(no links)

Answers

Answer:

-70 degrees

Step-by-step explanation:

What you need to do is subtract 10 from -58 to find the difference;

-58-12 = -70 degrees

-70 degrees because -58 - 12

someone please help me answer this!!

Answers

Answer:

c = 9.4m is the answer

Step-by-step explanation:

a (length of the telephone pole) = 9m

b (distance between the pigeon and the pole) = 3m

c = ?

According to the Pythagorean theorem,

a² + b² = c²

9² + 3² = c²

81 + 9 = c²

c² = 90

c = 9.4m

∴ the pigeon will fly 9.4m

What’s the volume and surface area

Answers

Surface area and volume are calculated for any three-dimensional geometrical shape. The surface area of any given object is the area or region occupied by the surface of the object. Whereas volume is the amount of space available in an object.

A recipe requires 1/3 cup of milk for each 1/4 cup of water. How many cups of water are needed for each cup of milk?

Answers

3/4 cups of water is needed for one cup of milk

what is the equivalent fractions of 2​

Answers

Answer:

[tex]2=\frac{2}{1}= \frac{4}{2} =\frac{6}{3}=\frac{8}{4}=\frac{10}{5}[/tex]

Step-by-step explanation:

Which of the following is not equivalent to 10 divided by 80
10/80
80/10
80 divided by 10
8

Answers

the second, third and fourth
Ummm well 80/10 isn’t equivalent.. and 80 divided by 10 isn’t equivalent either... and 8 isn’t equivalent either
Have a great day :)

please give answer and ill give brainliest

Answers

Answer:

42.5

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

you add both top and bottom which is 17 then divide 17 ÷2 which is 8.5 and then multiply by 5 which gives you 42.5 m

InnerSloth continue to update their popular video game Among Us.3 Scraping their serverlogs, we have the sample data below. For the number of players, the sample statistics includea mean of about 7.7778 players and a standard deviation of about 1.3017 players. For thegame times, the sample statistics include a mean of about 407.5556 seconds and a standard deviation of about 68.4235 seconds. The correlation between the number of players and thegame time is about 0.9012.
(a) Build a linear regression model for the sample data.
(b) Use the model to predict the length of a game that has nine players.
Players Time
6 353
6 312
7 315
8 420
8 464
8 404
8 423
9 482
10 495

Answers

Answer:

A

Step-by-step explanation:

4x^2+5y^2=41
3x^2-4y^2=23

Answers

Answer:

i dont know the answer sry

Step-by-step explanation:

srryyy

differentiate tan inverse of x÷a

Answers

Answer:

Expression Derivatives

y = tan-1(x / a) dy/dx = a / (a2 + x2)

y = cot-1(x / a) dy/dx = - a / (a2 + x2)

y = sec-1(x / a) dy/dx = a / (x (x2 - a2)1/2)

y = cosec-1(x / a) dy/dx = - a / (x (x2 - a2)1/2)

Find the surface area of the solid figure represented by the given net. 10cm squared 10cm squared 10cm squared 10cm squared 25cm squared

Answers

Answer:

its actually 65

Step-by-step explanation:

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