r/3+2=21 solve for r

Answers

Answer 1

Answer:

r=63

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    r/3-(21)=0             r

Simplify   —

           3

r    

 — -  21  = 0

 3     2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  3  as the denominator :

         21     21 • 3

   21 =  ——  =  ——————

         1        3  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator


Related Questions

solve for c
c+d=15
3c+2d=36
WILL MARK BRAINLIEST AND MANY POINTS PLS ANSWER

Answers

c is 6 & d is 9

6+9=15
3(6)+2(9)=36
18 + 18 = 37
C = 6

c = 15 - d ( get c by itself first)

3(15 - d) + 2d = 36 (replace c with 15 + d)
45 - 3d + 2d = 36 (distribute)
45 - d = 36 (combine like terms)
-d = -9
d = 9

Are they the same or not

Answers

Answer:

yes they are Similar

Your friend has created a dice game where the probability of winning is 0.45. If you win at least 60% in a series of n games you win the grand prize. You may choose to play a series of n = 10, 20, or 50 games. Which value of n should you choose to get the best chances of winning the grand prize?
A. n = 10
B. n = 20
C. n = 50
D. n = 10 or 20; they have the same probability
E. All three have the same probability.

Answers

Answer:

D. n = 10 or 20 they have the same probability

Will mark brainliest!!!Please find the value of each variable in the parallelogram!!

Answers

Answer:

a=9

b=11

Step-by-step explanation:

opposite sides of a parallelogram are congruent(aka equal)

so, a=9

b=11

Answer:

A is 9 units and B is 11 units.

Step-by-step explanation:

In a parallelogram, there are 2 parallel line. And they are congruent. So whatever their parallel line is equal to, it is the measure of that variable.

PLEASE ANSWER ITS DUE IN 5 MINUTES!! What is the are of the figure?

Answers

Answer

Cut out the shapes, and then multiply them.

Step-by-step explanation:

5) What is the product of prime numbers immediately before and after 50?​

Answers

Hey there!

The answer to your question is 2491

The two prime numbers immediately before and after 50 are 47 and 53, so 47 x 53 = 2491.

Hope this helps and have a great day!

What is always true about the net of a prism? O It contains 0 triangles. o It contains O or 2 triangles. olt contains 3 or more triangles. O It contains 4 or more triangles. HURRY ITS A TEST ​

Answers

Answer:

It contains 0 or 2 triangles.

Step-by-step explanation:

Answer:

its b

Step-by-step explanation:

Use substitution to determine which system is represented by the graph.

Answers

Answer:

2x + 4y = 28

-2y = x + 28

Step-by-step explanation:

Looking at the graph, we can see that the lines do not intersect. Therefore, they do not have a shared solution. We need to find the system of equations that does not have a solution.

1) Let's try to solve the third system given (counting from the top). To solve with the substitution method, we need to isolate one variable in one of the equations. I chose to isolate y in -2y = x + 28:

[tex]-2y = x + 28\\y = \frac{-1}{2}x -14[/tex]

2) Now that we've isolated the y in that equation, substitute what y equals in that equation for the y in the other equation. So, substitute [tex]\frac{-1}{2}x-14[/tex] for y in 2x + 4y = 28 and simplify:

[tex]2x + 4(\frac{-1}{2}x - 14) = 28\\2x - 2x- 64 = 28\\-64 = 28[/tex]

In a normal situation, the x's would not cancel out, and we would be able to isolate x to get the x-value of the solution. However, in this case, they have, and we ended up with a false statement, as -64 does not equal 28. Whenever this happens, it means the system does not have a solution. Therefore, the third option would represent the system in the graph.

The given graph shows the simultaneous relationship of equations 2x + 4y = 28 and  -2y = x + 28. Option C is correct.

What are simultaneous linear equations?

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,
From the graph, the two lines represents the simultaneous relationship,
Where,

The slope of the both lines is,
m = -1/2

And y-intercept of both lines is,
C₁ = 7 and C₂ = - 14

Now,
equations  of the lines are,
y = -x/2 + 7 and y = -x/2 - 14
x + 2y = 14  and x + 2y = -28
or
2x + 4y = 28  - - - - -  -(1) and  -2y = x + 28 - - - - - - -(2)

Now,
From equation 2 substitute y in equation 1
2x + 4[-x - 28]/2= 28
2x - 2x - 56 = 28
-56 = 28
So the lines are parallel and has no solution.

Thus, the given graph shows the simultaneous relationship of equations 2x + 4y = 28 and  -2y = x + 28. Option C is correct.

Learn more about simultaneous equations here:

https://brainly.com/question/16763389

#SPJ2

there are 12 ribbons all of them equal 3 feet how long is each ribbon?

Answers

Answer:

i think

12 x 3 = 36 feet long

Answer:

36 feet and maybe check me out on sou-ndcloud and spo-tify and rate a sound I made "Jealousy is a bltch I hate her" might wanna turn down ur headphones and audio in general

Step-by-step explanation:

Add 3 5/12+2 5/9. Simplify the answer and write as a mixed number.

Answers

Answer:

5 35/36

Step-by-step explanation:

add the whole number: 3+2= 5

add the fractions: 5/12 = 5/9= 35/36

add the whole number and fraction

5 35/36 so x= 5 35/36

Simplify the expression by combining like terms 2w+4w+8w? whats the answer

Answers

Explanation: In this expression, +2w, +4w, and +8w are called terms and the numbers in front of the variables, +2, +4, and +8 are called coefficients.

Because the variables are identical,

the three terms in this problem are called like terms.

They can be added together by adding their coefficients.

Since 2 + 4 + 8 is 14, 2w + 4w + 8w is 14w.

Let p be a prime. Compute the following sum (mod p):

Answers

I should be 2p...+3p- 1 -2...
___________
2(p-1)
Hop it help

The common difference of the arithmetic sequence

Answers

Answer:

its 1/3

Step-by-step explanation:

please mark it as brainliest!!<3

Answer:

We conclude that the common difference of the Arithmetic sequence is: 1/3  

Step-by-step explanation:

Given the Arithmetic sequence

1/2, 5/6, 7/6, 3/2, 11/6

We know that an Arithmetic sequence has a constant common difference.

Let us compute the common difference 'd' of all the adjacent terms

[tex]\frac{5}{6}-\frac{1}{2}=\frac{1}{3},\:\quad \frac{7}{6}-\frac{5}{6}=\frac{1}{3},\:\quad \frac{3}{2}-\frac{7}{6}=\frac{1}{3},\:\quad \frac{11}{6}-\frac{3}{2}=\frac{1}{3}[/tex]

The difference between all the adjacent terms is the same and equal

Therefore,

[tex]d=\frac{1}{3}[/tex]

Hence, we conclude that the common difference of the Arithmetic sequence is: 1/3  

Romeo will roll a 6 sided number cube numbered 1-6 what is the probablility of rolling an odd number on the first roll and then number 4 on the second roll. a 1/12. b 1/6. c 1/4 d 1/3​

Answers

Answer:

D

Step-by-step explanation:

Answer:

[tex]a.\: \frac{1}{12}[/tex]

Step-by-step explanation:

The probability he will roll an odd number on the first roll is [tex]\frac{1}{2}[/tex] as there are three odd numbers and three even numbers on a fair six-sided dice.

The probability he will roll the number 4 on the second roll is [tex]\frac{1}{6}[/tex] as out of the six numbers, only one is the number 4.

Therefore the probability of both happening is [tex]\frac{1}{2}\cdot \frac{1}{6}=\fbox{$a.\: \frac{1}{12}$}[/tex].

Which of the following shows a reflection of the triangle over the horizontal axis?

Answers

Answer:

Either C or D

Step-by-step explanation:

Because I can only see a and b and both are wrong. Try taking a better pic then ill answer it again.

Answer:

The fourth option

Step-by-step explanation:

It reflexs accros the x axis which is horizontal

josie buys a scoop of dried cranberries and a scoop of dried bananas to make trail mix. The dried cranberries weight 8.5 ounces and cost $0.30 per ounce. The dried bananas weigh 10.5 ounces and cost $0.20 per ounce. How much does josie spend on the dried food

Answers

Answer:yes

Step-by-step explanation:

Pls help with this.

Answers

the answer is 39 !!because 7 times 5 is 35 + 4 is 39

At the start of a trip, a car’s gas tank contains gallons of gasoline. During the trip, the car consumes 1⁄8 gallons of gasoline. How much gasoline is left in the tank? Please explain thoroughly.

Answers

Answer: (7/8)x gallons

Explanation:

Let x be the amount of gasoline at the start of the trip.

During the trip the car uses 1/8 gallons of gasoline

Which mean it uses 1/8 of the original gasoline, (1/8)x.

Gasoline left in the tank:

x - (1/8)x = (7/8)x

The sum of the enterior angles of any triangle is equal to:

Answers

Answer:

is equal to 180°

I hope it's helps you

In our amusement park that we built this week, the ride Diablo’s Domain had revenue of $250,000,000 in its first year as expected. The company paid $750,000 for insurance or $3 for every $1,000 in revenue. If the park is wildly successful and revenue increases by 25% in the second year and the rate of $3 for every $1,000 holds true, how much would it pay for insurance? Do you think it’s reasonable for insurance costs to increase proportionally? Why or why not?

Answers

Answer:

The amount to be paid for insurance will be $ 937,500. In this context, it is reasonable that insurance costs increase proportionally, as the ride will have a greater use and, therefore, a greater exposure to risk.

Step-by-step explanation:

Given that the amusement park Diablo's Domain ride generated $ 250,000,000 in revenue, and the company paid $ 750,000 in insurance for that game ($ 3 for every $ 1,000 in profit), to determine the amount of insurance that should be paid if the winnings increase by 25% and the same proportion of 3/1000 to be paid is maintained, the following calculation must be made:

(250,000,000 x 1.25) x (3/1000) = X

312,500,000 x 0.003 = X

937,500 = X

Therefore, the amount to be paid for insurance will be $ 937,500.

jason built a rectangular tool shed that is 8 meters wide and has an area of 96 square meters. what is the length of jasons tool shed?

Answers

Answer:

12 meters

Step-by-step explanation:

Area = length × width.  If we divided 96 (area) by 8 (width) we should get the length. 98 ÷  8 = 12.

can someone please teach me how to find the value of x ?

Answers

Answer:

The value of x is approximately 13.58

Step-by-step explanation:

Solve the equation for x. −3=x3−6
A. x=−27
B. x=9
C. x=0
D. x=−6

Answers

Umm I think it would be C all thought I got 1 when doing the work

If a song is 4 minutes and 2 seconds long and I play it 115 times how long is that in hours?

Explain Please

The song: Drivers License
Songwriter/ singer: Olivia Rodrigo

Answers

Answer:

12 hours and 50 minutes

Step-by-step explanation:

You take the 4:02 and divide it by 60 (60 seconds are in a minute) and then you take the answer you got and multiply by 115 and you get 11.80 so you take the 80 and round it to 12 and then you have 50 left over so its 12 hrs and 50 mins

Answer:

7 hours, 40 min

Step-by-step explanation:

4 minutes is 1/15 of an hour

115 x 1/15 = 7 2/3

Which example does NOT show the commutative property of addition?
a. 4 + x = x + 4
b. ab=ba
c. a + b = b + a
d. 3x + 4y = 4y +3x

Answers

B because it is multiplication while the question is asking for addition. :)
B is you’re answer love !! Good luck

Arthur has a box which contains 6 black balls and n (n ≥ 2) white balls, then at random, he takes 3 balls from the box. If the probability of taking any ball is the same and Pₙ is the probability of taking 1 black ball and 2 white balls, what is the largest possible value for Pₙ?​

Answers

Answer:

11/68 or 0.1618

Step-by-step explanation:

Balls

Black - 6White - n

Options of getting 3 balls

1. White, black, black2. Black, white, black3. Black, black, white

Probability P(n) in each option

1. WBB

P(w) = 6/(n + 6)P(b1) = n/(n + 6 - 1) = n/(n + 5)P(b2) = (n - 1)/(n + 5 - 1) = (n - 1)/(n + 1)

P(n) =

P(w)P(b1)(P(b2) = 6/(n+6) × n/(n + 5) × (n - 1)/(n + 4) =6n(n - 1)/(n + 6)(n + 5)(n + 4)

2. BWB

P(b1) = n/(n + 6)P(w) = 6/(n + 6 - 1) = 6/(n + 5)P(b2) = (n - 1)/(n + 5 - 1) = (n - 1)/(n + 4)

P(n) =

P(b1)P(w)(P(b2) = n/(n+6) × 6/(n + 5) × (n - 1)/(n + 4) =6n(n - 1)/(n + 6)(n + 5)(n + 4)

3. BBW

P(b1) = n/(n + 6)P(b2) = (n - 1)/(n + 6 - 1) = (n - 1)/(n + 5)P(w) = 6/(n + 5 - 1) = 6/(n + 4)

P(n) =

P(b1)P(b2)(P(w) = n/(n+6) × (n - 1)/(n + 5) × 6/(n + 4) =6n(n - 1)/(n + 6)(n + 5)(n + 4)

Final equation is same for each case:

P(n) = 6n(n - 1) / (n + 6)(n + 5)(n + 4)

The easy way to find the maximum is to try the numbers or graph.

Both of the methods give the maximum integer n = 11 or n = 12

See attached graph

At both values n we get P(n):

P(11) = 6*11*10 / 15*16*17 = 11/68 = 0.1618 (rounded)P(12) = 6*12*11 / 16*17*18 = 11/68 = 0.1618 (rounded)

35 points! Will mark Brainliest! Real answers only!

Answers

Answer:

Ty for the free poiunts!

Step-by-step explanation:

You got the answer right LLO

Answer:

Yea the answer is right

Step-by-step explanation:

find the cube root of 0.000216​

Answers

Answer:

0.06

Step-by-step explanation:

hope that helps :))

0.06 is the cube root of 0.000216. Hope this helps!

A car travels 120 miles on 2 gallons of gas. How far does the car travel on 1 gallon of gas? *

Answers

Answer:

60 miles

Step-by-step explanation:

120/2=60 or 60x2=120

Answer:60 miles

Step-by-step explanation:

120/2=60

WILL GIVE BRAINLY Which one of the following angles are supplementary to ZDOE in the figure given below?

Answers

Answer:

AOE

Step-by-step explanation:

A supplementary angle equals 180 which is also a straight line.

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