(05.03)
An equation is shown below:


2/3 x + 8/3 = 2x
What is the solution to the equation? (4 points)

Answers

Answer 1

x=2

1:Subtract 2x from both sides.

2:Combine 2/3 x and -2x to get -4/3

3:Subtract 3/8 from both sides. Anything subtracted from zero gives its negation.

4:Multiply both sides by -3/4,the reciprocal of -4/3

5:Multiply − 3/8 ​ times − 4/ 3 ​ by multiplying numerator times numerator and denominator times denominator.

6:Do the multiplications in the fraction −8(−3) over 3x4.

x=24/12

Divide 24 by 12 to get 2.

x=2


Related Questions

Athlete A rode her bike 2.5 miles. Athlete B rode her bike 3 miles. How many more feet did Athlete B ride than Athlete A?

Answers

2540 feet
You would have to get the number of feet in each mile which in 3 miles would be 15840 then find how many feet in 2.5 which would be 13200. To get this answers you would have to use the equation 5280x3 for the 3 miles and 5280x2.5

Which expression represents the word phrase?
Drag an expression into each box to match each word phrase
the quotient of a number and 12
the sum of a number and 12
the difference between 12 and a number
12 - P
12 + p
p-12
p/12
12p
12/p

Answers

Answer:

The difference between 12 and a number ➜ 12 - p

The sum of a number and 12 ➜ 12 + p

The quotient of a number and 12 ➜ [tex]\frac{p}{12}[/tex]

The expression in the box for the quotient of a number and 12, the sum of a number and 12 and the difference between 12 and a number are p/12 , 12 + p and p - 12.

What is an expression?

Expression in mathematics is combination of variables with the use of operations and given rules. It can be in the form of equation, numbers etc.

If x and y are the arbitrary numbers.

And sum of the numbers are x + y,

difference of the numbers are x - y and

quotient of number x and y is x/y.

Here we have the expression and their representation,

the quotient of a number and 12 = p/12

the sum of a number and 12 = p + 12

the difference between 12 and a number =  p - 12.

Therefore the expression in the box for the quotient of a number and 12,

the sum of a number and 12 and the difference between 12 and a number are p/12 , 12 + p and p - 12.

To learn more about the expression;

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Rabbitton has 34 rabbits for every 8 gardens. Rabbit Ville has 48 rabbits for every 14 gardens. Which town has more rabbits per garden?

Answers

Rabbitton: 34 / 8 = 4 1/4

Rabbit Ville: 48 / 14 = 3 3/7

Rabbitton has more rabbits per garden

no need to explain just tell the answer

Answers

Answer: z = 18

Step-by-step explanation:

180 = 90 + (3z+4) + (2z-4)

z = 18

18-3(8c+4)=-6(4c-1) show your work

Answers

Answer:

No solution  

Step-by-step explanation:

Solve:

18 + -3(8c + 4) = -6(4c + -1)

Reorder the terms:

18 + -3(4 + 8c) = -6(4c + -1)

18 + (4 * -3 + 8c * -3) = -6(4c + -1)

18 + (-12 + -24c) = -6(4c + -1)

Combine like terms: 18 + -12 = 6

6 + -24c = -6(4c + -1)

Reorder the terms:

6 + -24c = -6(-1 + 4c)

6 + -24c = (-1 * -6 + 4c * -6)

6 + -24c = (6 + -24c)

Add '-6' to each side of the equation.

6 + -6 + -24c = 6 + -6 + -24c

Combine like terms: 6 + -6 = 0

0 + -24c = 6 + -6 + -24c

-24c = 6 + -6 + -24c

Combine like terms: 6 + -6 = 0

-24c = 0 + -24c

-24c = -24c

Add '24c' to each side of the equation.

-24c + 24c = -24c + 24c

Combine like terms: -24c + 24c = 0

0 = -24c + 24c

Combine like terms: -24c + 24c = 0

0 = 0

Solving

0 = 0

No Solution

(Hope this helps can I pls have brainlist (crown)☺️)

Please help with this dilation

Answers

Answer:

k= 1/4 m=16

Step-by-step explanation:

7 over 28 is 1/4 and 4 times 4 is 16

grace read 4 days a this week. She reads 10 minutes each day. if her teacher wants her to read a total of 60 minutes, how many more minutes does grace need to still read?

Answers

Answer: 20 more minutes

Step-by-step explanation:

Grace has already read 40 minutes due to her reading 4 times a week and 10 minutes each time(4x10=40). She has 20 more minutes to read as there as 60 minutes in a hour  

Grace needs 20 minutes more to read.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Grace read 4 days a this week.

In one day she read= 10 minutes

So, in 4 days she read = 4 x 10

                                     = 40 minutes.

So, total time taken = 60 minutes.

Thus, she needs to read (60 - 40) = 20 minutes.

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A group of 7 students went bowling. Each student rented bowling shoes for $x and spent $15 on snacks. A group of 6 adults also went bowling and paid twice as much to rent bowling shoes as each student. Each adult also spent $12.50 on snacks. If both groups spent the same total amount, what was the cost for each adult to rent bowling shoes?

Answers

Answer:

$3.52 (rounded to nearest penny)

Step-by-step explanation:

7x + 15(7) = 12(2x) + 12.5(6)

7x + 105 = 24x + 75

105 = 17x + 75

30 = 17x

1.76 = x

3.52 = 2x

The cost for each adult to rent bowling shoes is $12.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

Group I:

Total students= 7

Rent of bowling= $x

Spent on snacks= $15

Then, total amount spent by 7 children = 7x+ 15(7)

Group II:

Total students= 6

Rent of bowling= $2x

Spent on snacks= $12.50

Then, total amount spent by 7 children = 6(2x)+ 6 (12.50)

So, If both groups spent the same total amount

7x+ 105=  12x + 75

12x- 7x = 105- 75

5x = 30

x= 6

Hence, the cost for each adult to rent bowling shoes is $12.

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Please help ….Simplify: V18x7

Answers

Answer:

The answer is 3x^3 V2x. Edge 2022. For the second part, the product is -1

Step-by-step explanation:

Please help me!!
Find the absoutle value
7) /-5.5/
9) /14 1/3/ *1/3 is a fraction next to the the whole number 14*
6) /5 3/4 *3/4 is a fraction next to the whole number 5*
10) /-7.75/
14) 135.41

PLS WILL MARK BRAINLIST

Answers

Alright
7) 5.5
9) 4.6666666666666666… 7
6) 3.75
10) 7.75
14) 135.41

Which equation is correct?

792 × 5 = 700 × 5 + 90 × 5 + 2

792 × 5 = 700 + 90 × 5 + 2 × 5

792 × 5 = 700 × 5 + 90 × 5 + 2 × 5

792 × 5 = 7,000 × 5 + 900 × 5 + 20 × 5

Answers

Answer:

what's the correct number supposed too equal?

Answer:

I don't see a Solution to this equation

I need help with this prom now please and thank youl

Answers

Answer:

cannot

not constant

Step-by-step explanation:

1st rate of change is 5 - (-1) / 4 - 2 = 6 / 2 = 3

2nd rate of change is  15 - 5  / 6 - 4 = 10 / 2 = 5

3rd rate is 29 - 15 / 8 - 6 = 14 / 2 = 7

cannot be modeled into a linear equation

rate of change is not constant

How do you make people the BRAINLIEST when you ask a question?


... you answer it correctly and you can see if i figured it out
-wink
-wink
-wink

:( but seriously this is a huge problem that i cant figure out

Answers

Answer:

You can only mark someone's answer if one other person has answered as well.

Step-by-step explanation:

If two people answered your question, then you get a notification from brainly asking you to pick a brainliest answer.

Answer:

See below:

Step-by-step explanation:

When you mark something as Brainliest, you recognize the answer as something good and that it's helped you a lot and is the best answer.

It also also used to symbolize that they have the best answer and that you should listen to their response.

Once there are two responses, you will see a yellow crown button that you an click to award brainliest, you can also find the button when you select more options on a question.

Cheers!

21 by 36 subtract 2 by 5 multiple 5 by 8​

Answers

Answer:

676

That's my opinion

Step-by-step explanation:

Imsureeeeeeee123

Answer:

0.3333333333

Step-by-step explanation:

21/36 Convert To 0.58333333333

2/5 Convert To 0.4

5/8 Convert To 0.625

i need help fast please

Solve this and show steps

4.5×8-(0.4+9.6-(3.6-1.8))

Answers

Answer:

27.8

Step-by-step explanation:

You need to do brackets first

3.6-1.8 = 1.8

Then substitute

4.5 x 8- (0.4 + 9.6- 1.8)

0.4+9.6-1.8=8.2

4.5 x 8 - 8.2 =27.8

The Picture is attached below

Answers

Answer:

Step-by-step explanation:

y = –15x + 375.
Graph the linear equation.

Answers

Answer:

the required graph is in the attachment.

Step-by-step explanation:

lf the volume of a sphere= 4.5π cm³ then the radius length is .....? ​

Answers

Answer:

Radius = 3.232 cm to the nearest thousandth.

Step-by-step explanation:

Volume of a sphere = 4/3πr^3, so:

45π = 4/3πr^3     π is common to both sides, so:

45 = 4/3 r^3

r^3 = 45 * 3/4

r^3 = 33.75

r = 3.232 cm.

*ONLY* 44-47 please help meeee

Answers

Answer:

44 - 47 is -3 if thats what youre asking

Step-by-step explanation:

I am so sorry I had that math book last year and it sucks

How to use a protractor.

Answers

Answer:

You can see below!

Step-by-step explanation:

Basically, a protractor is used to measure angles. You probably have a semi-circle shaped one. Looking at the bottom middle of the protractor should show you lines intersecting each other at a point. If you have an angle on a piece of paper, place that point on the ends of the line segments making up the angle. Then, check where each line of the angle crosses the numbers on the outer rim. That shows you the measure of the angle you are examining. It can be a bit tricky, but with practice you'll get it in no time!

The sides of a triangle are in the ratio 3, 4, 5. State whether the triangle is right angled or not.

Answers

Answer:

If the sides of a triangle are in the ratio 3:4:5, prove that it is a right-angled triangle.

Step-by-step explanation:

In order to prove that the triangle is a right-angled triangle or not, take the ratio as the length of the sides then consider the triangle to be a right-angled triangle, then prove the Pythagoras theorem. If the sides satisfy the Pythagoras theorem, then it’s a right-angled triangle otherwise, it’s not a right-angled triangle.

We are given the sides of a triangle whose ratio is 3:4:5.

Considering the sides to be 3x,4x,5x.

Since, we know that the length of hypotenuse is always greater than the other two sides, so we are taking the hypotenuse to be 5x and other remaining sides to be 3x and 4x.

We are only considering that the given triangle is a right-angled triangle. For that we need to prove that the sides follow Pythagoras theorem.

So, for Pythagora's theorem, we know that the sum of the square of the base side and square of the height side is equal to the square of the hypotenuse.

Squaring the base side 4x, we get:

(4x)2=16x2 …….(1)

Similarly, squaring the height side 3x, we get:

(3x)2=9x2 …….(2)

Squaring the hypotenuse side 5x, and we get:

(5x)2=25x2 …….(3)

Taking the sum of (1) and (2):

16x2+9x2=25x2, which is equal to the equation (3).

That means the sum of the square of base and the square of height is equal to the square of hypotenuse, that satisfies the Pythagoras theorem, that implies the triangle ABC is actually a right-angled triangle, which is right-angled at B. And this proves our consideration to be true.

Answer:

it is a right triangle

Step-by-step explanation:

If the triangle is a right triangle, it will meet the Pythagorean theorem

a^2 + b^2 = c^2

3^2+4^2 = 5^2

9+16=25

25=25

This is true so it is a right triangle

Umm so I'm confused
The question says
5x - 2y = 24
x + 2y = 12

Answers

Answer:

Step-by-step explanation:

5x-2y=24

x+2y=12

add the two equations

(5x-2y)+(x+2y)=24+12

6x=36

x=6

Plug in x=6 into any of the two equations

5(6)-2y=24

30-2y=24

-6= -2y

y= 3

x=6

y=3

(6,3)

PARALLEL PERPENDICULAR OR NEITHER OR SAME LINE

Answers

Answer:never touch

Step-by-step explanation:

Answer:

Parallel

Step-by-step explanation:  

Using these points, we can determine that the equation is as follows:  

Line B: y = -2/3x + 7/3  

And since Line A has the same slope, it would make Line A's equations like this:  

Line A: y = -2/3x - 11/3  

This makes these equations Parallel to each other because they have the same slope with different y-intercepts.

(Will give BRAINLIST to best answer)
Angle QRS is a straight line. The measure of angle 2 is 60 degrees more than the measure of angle 1

Answers

Answer:

Angle 2 = 120 degrees, Angle 1 = 60 degrees

Step-by-step explanation:

Since a straight angle is 180 degrees, you have to add up the 2 angles to 180.

x+x+60=180

2x+60=180

2x=120

x=60

Angle 1 = 60

Angle 2 = 60+60=120

HELP 35 POINTS

State the domain and range to each of these functions and determine function or not.

Answers

Answer:

see below

Step-by-step explanation:

2.x<1, y=all real numbers

3. -1<=x<=3 -3<=y<=2

4. x= all real numbers, y>-2

5. 7<=x<5, 3<=y<1

6.x>-4, y>-1

What number has 62 hundreds and 5 tens

Answers

Answer:

6250

Step-by-step explanation:

62 hundreds is the same as 62 X 100 which equals 6200.

5 tens is the same as 5 X 10 which equals 50.

And if we add these together, we get a total of 6250

Hello everyone, I was wondering what 50+8x2 is for my project that I am doing. Thanks

Answers

Answer:

66

Step-by-step explanation:

Multiplying 8 by 2 which gives you 16.

Then 16 Add 50 = 66

Arron and Paul are paid 10$ per hour as landscapers. However this week Arron made an additional 54$ in overtime pay. Given that A and P represent the number of hours worked by Arron (a) and Paul (p) which expresion can be used to represent their combined earrings for the week.


A. 10A+10P+54
B. 10AP+54
C. 10P+54
D. 10A(54)+10P

Answers

D. 10A(54)+10P

Is the correct answer

Answer:

A. 10A+10P+54

Step-by-step explanation:

Her little sister's birthday is next week, so Erin is planning a bubble-themed birthday party!
She buys a big bottle of bubble solution and divides it equally among 8 small bottles. Each
small bottle holds
1
of a gallon of bubble solution.
16
Use an equation to find the amount of bubble solution in the big bottle.
To write a fraction, use a slash (/) to separate the numerator and denominator.

Answers

Answer:

The answer and solution is in the picture

An equation is formed of two equal expressions. The equation that can represent the amount of solution in a small bottle is x=y/8.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the bubble solution in the small bottle be represented by x, while the amount of solution in the big bottle is represented by y. Since the sum of the solution of 8 small bottles is equal to a big bottle. Therefore, the equation can be written as,

The amount of solution in the big bottle) = (Amount of solution in a small bottle)×8

y = 8x

x = y/8

Hence, the equation that can represent the amount of solution in a small bottle is x=y/8.

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which of the following numbers closest to 6? 34, 37, 38, 33.

Answers

33 is the closest number if talking about math but in the question 34 is the number closest to 6 in your question
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which state produces nearly 85% of wine in the u.s.? Read the excerpt from "Demon's Run."Here is the truth, she said. Your fathers work making household repairs for the townspeople has fed us til now, but hes gone. Laundering clothes brings in a bit, but not enough. Were all strong and hard workers with a lot of stamina, so I think we could farm if we had some land. And theres land in Oklahoma.We have nothing to lose, said Margaret, who was sixteen, and like her mother, she was both practical and brave. Her brother, Benjamin, fourteen, and her sister, Lizzie, eleven, agreed.So the family began preparing for the journey. Lily worked day and night doing laundry and was able to make a bit more than the family needed to buy food.Which sentence is an example of indirect characterization?like her mother, she was both practical and braveWere all strong and hard workers with a lot of stamina,Lily worked day and night doing laundrySo the family began preparing for the journey. How much force is required to raise a 0.2 kg mass? For the given reactions determine if the entropy increases or decreases. A) 2 KClO3 (s)2 KCl (s)+3 O2 (g)B) CoCl2 (s)+6 H2O (g)CoCl26H2O What is an index fossil?A. A fossil that contains rocks and mineralsB. A fossil that formed 300 million years agoC. A fossil that has vestigial structuresD. A fossil found in rocks from one time period HELP (now I got a photo) RIGHT ANSWER FETS BRAINLEII3ERTGT What is free energy. Decide whether each sentence below is punctuated correctly. a. cougars which can live in many climates are skilled hunters.b. jasmine's cousin, a native of salt lake city, is a competitive ballroom dancer. c. blueberries (my favorite fruit) are delicious on oatmeal. plsefgrffghttgrewe helppppppppppppppppppppppppppppp Ch 8 Case Study Maria, an owner/Operator of a family restaurant, realized that she needed to do more to keep her place safe. That meant taking charge of food safety in a more formal way than before. It was time to develop a food safety management system. Though she hadnt had any formal training in HACCP, she wanted to develop a HACCP plan for her operation. Maria began by reviewing her menu to identify CCPs for each menu item. Most dishes on the menu were grilled items that were prepared, cooked,and then served. Maria determined that risks to these items could best be controlled through cooking, so she identified cooking as the CCP. Next , she identified critical limits for each CCP. For grilled hamburgers, she determined that cooking them to 155 F. for 15 sec. Would reduce pathogens to a safe level. For grilled chicken, she knew it was necessary to cook it to 165 F. for 15 sec. Maria decided to monitor the critical limits by having cooks press on the meet with their fingertips to c Which of the following properties could be used to rewrite the expression (2/3 . 1/5) . 5/2 as 2/3 . (5/2 . 1/5)a. The commutative property used twiceb. The associative property followed by the commutative property c. The commutative property followed by the associative property d. The associative property used once What are Medicare and Medicaid How do I know if Im depressed? This is not a school question but I dont know how to understand if I am or not. And Im only a kid:( How many significant figures are in 0.005439 Blair's heart started to pound and her palms began to sweat. These physiological reactions were activated by her ________ nervous system. When you are saving money you are: A:gathering B:cutting back C:discounting D:accumulating Your sister is like my dad who does not like to show up in pictures in spanish translation. The Danube River, eastern Europe's major waterway, flows from Germany's Black Forest to the Black Sea. The river is seriously affected by the agricultural runoff of fertilizers, which encourage the growth of algae. Explain why organic farming methods might help solve this problem. Where did urbanization take place in the 1800s? What is QUzXTY . . .