Solve equations with variables on both sides

1/3+5/3r–r=2r

Answers

Answer 1

Answer:

r=1/4

Step-by-step explanation:

Answer 2

Answer:

r = 1/4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

[tex](\frac{5}{3}r - r) + (\frac{1}{3}) = 2r[/tex] [tex]\frac{2}{3}r+\frac{1}{3} = 2r[/tex]

Step 2: Subtract 2r from both sides.

[tex]\frac{2}{3}r +\frac{1}{3} - 2r = 2r - 2r[/tex] [tex]\frac{-4}{3}r+\frac{1}{3}=0[/tex]

Step 3: Subtract 1/3 from both sides.

[tex]-\frac{4}{3}r+\frac{1}{3} -\frac{1}{3} =0-\frac{1}{3}[/tex] [tex]-\frac{4}{3}r=-\frac{1}{3}[/tex]

Step 4: Multiply both sides by -3/4.

[tex]-\frac{4}{3}r*\frac{3}{-4} =\frac{-1}{3} *\frac{3}{-4}[/tex] [tex]r = \frac{1}{4}[/tex]

Therefore, r = 1/4.


Related Questions

Plzzzzz help meeeee plzzz

Answers

Answer:

1 Meter equals 100 Centimeters, therefore 1 Square meter is equal to 100 centimeters squared. Thus, [tex]1 M^{2}[/tex] is equal to [tex]100^{2}[/tex] when counting in Centimeters square. Now that we have gotten the basics down, Lets convert the other necessary units.

[tex]1 m^{2} = 10,000 cm^{2}[/tex]

[tex]1 mm^{2} = 0.01cm^{2}[/tex]

[tex]1 km^{2} = 1,000,000 m^{2}[/tex]

Now, using that knowledge, we can find the answers to all questions.

1) 0.15 [tex]m^{2}[/tex]

2) 0.086 [tex]m^{2}[/tex]

3) 0.1 [tex]cm^{2}[/tex]

4) 600,000 [tex]cm^{2}[/tex]

5) 0.0001 [tex]km^{2}[/tex]

6) 400 [tex]cm^{2}[/tex]

7) 52,100 [tex]mm^{2}[/tex]

8) 500,000 [tex]m^{2}[/tex]

9) 0.087 [tex]mm^{2}[/tex]

10) 50 [tex]cm^{2}[/tex]

That's all folks!

5/6 divided by [13/11]

Answers

Answer:

0.70512820512 round to the nearest hunderth

Step-by-step explanation:

How Many Solutions Does 6 + [tex]\frac{x}{5}[/tex] = [tex]\frac{x}{5}[/tex] - 5 - [tex]\frac{3x}{10}[/tex] Have?

A. One solution
B. Two solutions
C. No solutions
D. Infinitely many solutions

Answers

Answer:

A. One solution

Step-by-step explanation:

6 + x/5 = x/5 - 5 - 3x/10

Cancel equal terms on both sides.

6=-5-3x/10

Multiply both sides of the equation by 10.

60=-50-3x

Move the variable to the left-hand side and change the sign.

60+3x=-50

Move the constant to the right-hand side and change the sign.

3x=-50-60

Calculate the difference.

3x=-110

Divide both sides by 3.

x=-110/3

=-36 2/3

Meaning one solution.

Hope this helps :)

Answer:

The answer you are looking for is A

help me with this please thank you mate

Answers

[tex] \: \: \: \: \: [/tex]

[tex](x,y) = ( - 8,0)[/tex]

refer to the attachmenthope it helps

[tex] \: \: \: \: [/tex]

hey i need help on this question even if you can only answer one of the three boxes

but if someone can do 2 or more that would be very apricated

thanks!

Answers

Answer:

I don't see boxes?

Step-by-step explanation:

I do not see any boxes sorry for the inconvenience

Please help me with this MATH question.

Answers

Answer: first and third choice

Step-by-step explanation:

it would be the first and third choices. the first choice employs the distributive property— it distributes b to x and c.

the third choice performs opposite operations. so instead of multiplying b by (x+c) it does the opposite and divides it by both sides

what is the slope intercept equation for the linear function represented by the table?

Answers

Answer:

the answer is a

Step-by-step explanation:

x=0 the first equation gives -4

andx= 2 6/2 = 3-4= -1

you are given a fraction in simplest form. the numerator is not zero.when you write the fraction as a decimal,it is a repeating decimal. which numbers from 1 to 10 could be the denominator

Answers

Answer:

3, 6, 7, 9

Step-by-step explanation:

We can take a look at each value from 1 to 10

We see that for 3, 6, 7, and 9 the decimal repeats forever for some numerators. For example, 1/3 repeats forever, 4/6 repeats forever, 5/7 repeats forever, 1/9 repeats forever.

the reciprocal of 4 is​

Answers

the answer of ur question is 0.25

1/4

Explanation:

4 as a fraction would be 4/1. Any whole number that you want to represent as a fraction goes over 1. When finding the reciprocal, we flip the numerator (number on top of the fraction bar) and the denominator (number on the bottom of the fraction bar.) Therfore, it would be 1/4. Hope this helps :)

write the following equations in the statement form...

1) 2a + 7 =15

pls ans fast but as statement form​

Answers

Answer:

4 or 2 times unknown number added with 7 it gives 15

Step-by-step explanation:

2a+7=15

2a=15-7

2a=8

a=4

Answer:

2a+7=15

2a=15-7

2a=8

2a/2=8/2

a=4

The hypotenuse of a right triangle measures 9 cm and one of its legs measures 4 cm. Find the measure of the other leg.

Answers

Answer:

The other leg is √65 cm

Step-by-step explanation:

Hi there!

We are given that the hypotenuse of a right triangle measures 9 cm, and one of the legs measures 4 cm

We want to find the measure of the other leg

In right triangles, we can use the  theorem to find the value of a side, if we know the lengths of the other two sides

The formula for the Pythagorean theorem is a²+b²=c², where a and b are legs, while c is the hypotenuse

If we say a is 4 and c is 9, then the equation will look like this:

(4)²+b²=(9)²

Raise each number to the second power

16 + b²= 81

Subtract 16 from both sides

b²=65

Take the square root of 65

b=√65, -√65

-√65 is not an applicable root for this problem, since distance cannot be negative

Hence, our answer is √65 cm

Hope this helps!

please help I don't understand what it wants :(
NO LINKS!!!!!!!!

Below are two parallel lines with a third line intersecting them.

× = ____ °​

Answers

Answer:

x=116°

Step-by-step explanation:

we have two parallel line and x=116

I started some of it but i’m really confused with the rest. Does anyone know how to do it?

Answers

Answer:

-4,1 -3,0 -2,1 -1,2 0,3 1,4 2,5 3,6 4,7

Step-by-step explanation:

when x increases by one, so does y. The slope of the line is 1 btw.

a = 3, k = 12, z = 6, h = 4

Evaluate the algebraic expression z + 15 = ??

Answers

Answer: 21

Step-by-step explanation:

[tex]z+15=?\\[/tex]

Substitute the value of z into the expression:

[tex](6)+15=21[/tex]

Answer:

21

Step-by-step explanation:

have a good day

ssion 4 x (20 – 1) if a = 3?
What the answer?

Answers

Answer:

20

Step-by-step explanation:

Question:

4 × (2a - 1)

Given value:

a = 3

Solution:

4 × (2a - 1)

= 4 × (2(3) - 1) [Substituting the value of a=3]

= 4 × (6 - 1) [Simplification]

= 4 × 5 [On further simplification]

= 20

Hence, 20 is the required answer.

Answer:

20

Step-by-step explanation:

a = 3

4 × (2a - 1) =

= 4 × (2 × 3 - 1)

= 4 × (6 - 1)

= 4 × 5

= 20

Jerry eats one-fourth of a pecan pie. Sally eats
one-fifth of the same pie. Rose comes home from
school and eats two-tenths of the same pie. How
much of the pie has been eaten?

Answers

Answer:

13/20  or .65

Step-by-step explanation:

1/4 + 1/5 + 2/10  = Total amount eaten

Find a common denominator  is   20

1/4 =  5/20

1/5 =  4/20

2/10 = 4/20

           13/20

solving systems of equations in three variables

Answers

Answer:

A: (x = 34, y = -27, z = -1)

Step-by-step explanation:

Plug the variables in. It might be tedious, but it guarantees you get it right.

Let's try A first. 2(34) + 2(-27) + 6(-1) = 8. Is this correct? Yes. However, you gotta plug it in for the other three equations. 5(34) + 6(-27) + 5(-1) = 3. Is this correct? Yes again. One last equation. 5(34) + 6(-27) + 3(-1) = 5. That's correct as well. The answer is A.

In case you still weren't sure if the answer was A or not;

B: 2(33) + 2(-26) + 6(0) = 14. Right away we can see that B will be incorrect.

C: 2(35) + 2(-28) + 6(-2) = 2. Again, incorrect.

D: 2(36) + 2(-29) + 6(1) = 20. Incorrect!

A is the correct answer.

fracciones equivalentes a 2/7

Answers

4/14 y 14/49 son does fracciones

One thousand families were surveyed to
determine the distribution of families by size. The
results follow.
Family Size 2
3
4
5 6 7 8
Frequency
350
200 245 125
66
10
To the nearest percent, the probability that a given
family has 3 people is [? ]%.

Answers

Answer:

Step-by-step explanation:

probability of an event: number of events that satisfy the criteria/ total number of events

number of events that satisfy the criteria (in this case the number of families with three people)= 200

total number of events= 1000

200/1000= 20%

87.2- somthing=61.2

what is the awnswer

Answers

Answer:

26.0

Step-by-step explanation:

87.2-61.2= something

something is= 26

26
EXPLANATION
87.2-61.2=26.0

_ please answer this question .

Answers

Answer:

For the column "Slope Intercept", the graph is displaying y = -7/2x + 3. Because the line is going down 7 units and to the right 2 units, and the 3 is the point in which the line crosses the y-axis.

For the "Standard" column, it will be

7x + 2y = 6, because that's what it would look like in standard form. (To turn it from standard to slope intercept form, remember you must first subtract 7x on both sides to get 2y = -7x + 6, and then divide by 2 on both sides to get

y = -7/2x + 3.)

For column "Point Slope", I just realized you are supposed to pick a point on the line and plug the coordinates into this formula:⤵⤵⤵

This is the point-slope formula.⤵⤵⤵

[tex]y - y _{1} = m(x - x _{1})[/tex]

For example we'll use point (2,-4). Also, remember that coordinates are written as (x,y), and that m represents slope.

So we have: y - (-4) = -7/2(x-2).

In other words, "Point Slope" would be

y + 4 = -7/2(x-2).

By the way, sorry this is a bit long, and took a while to complete. I had to re-educate myself on point-slope. Anyways hope this helps, I tried :)

Joanie earns $12 per hour, plus a $20 bonus completing the training program. This week Joanie earned $240. Write an equation to represent this situation.

Answers

Answer:

(12+20)x=240

Step-by-step explanation:

x=number of hours

If she earns $12 per hour and a $20 bonus you divide that from 240 to get the number of hours she worked.

Hope this helps :)

What is the closed form definition for the sequence below?

4, -12, 36, -108,...

Note that 4 is considered the 1st term.

Answers

Answer:-108

Step-by-step explanation:

you need to put them in order from least to greatest 4, 36, -12, -108

7(x+2)-5(x+3=9(4-x)

Answers

Answer:

x = 37/11

Step-by-step explanation:

7(x + 2) - 5(x + 3) = 9(4 - x)

=> 7x + 14 - 5x - 15 = 36 - 9x

=> 2x - 1 = 36 - 9x

=> 11x = 37

=> x = 37/11

Hoped this helped.

Convert
1.8125 gallons to cups

Answers

Answer: 1.8125 gallons = 29 cups

Step-by-step explanation:

There are 16 cups in a gallon. Therefore, to convert gallons to cups we multiply the number of gallons by 16.

The number of gallons, in this case, is: 1.8125

So, we need to multiply 1.8125 by 16

1.8125 ⋅ 16 = 29

In the final analysis, 1.8125 gallons is equal to 29 cups.

,  Hope this helps :)

Have a great day!!

chip and dip magazines ratio of men to women subscribers is 5 to 8 if they have 75000 women how many men

Answers

Answer:

46875

Step-by-step explanation:

Men  :Women = 5 : 8

Total parts = 5+8 = 13

Total number be x

[tex]\dfrac{8}{13}*x = 75000\\\\\\x =75000*\dfrac{13}{8}\\\\\\x = 121875[/tex]

Number of men = 121875 - 75000 = 46875

I need these answers

Answers

Answer:

1) x = 14.14

2) 2

Step-by-step explanation:

1) sin(45°) = x/20

sin(45°) · 20 = x

x = 14.14

2) Since PST are double the size of PQR it would just be a scale factor of 2

Alguien puede ayudarme porfavor es para hoy ...Se los agradeceria mucho ​

Answers

Answer:

english?

Step-by-step explanation:

For the following quadratic equation, find the discriminant. –4x² + 24x – 152 = 0

Answers

Answer: no real solution

CAN SOMEONE PLEASE HELP ME!! this is like my 4th time trying to re-answer this question so PLEASE help!
Using the information below draw a diagram, making sure to label the sides and angles, to help answer the following 2 questions. Don’t forget to label your answer.

∆ABC ≅∆DEF
AC = 15 in., AB = 24 in., m∠A = 34°, m∠C = 124°
What are the values of DE and m∠E?

DE = ______ m∠E = ________

Answers

Answer:

go to https://www.rcboe.org/cms/lib010/GA01903614/Centricity/Domain/1030/Ch.%203.3.pdf

Step-by-step explanation:

i think that will help

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