Solve for r.

√2/3r + 1 = 23

Solve For R. 2/3r + 1 = 23

Answers

Answer 1

Answer:

2nd option

Step-by-step explanation:

[tex]\frac{\sqrt{2} }{3}[/tex] r + 1 = 23 ( subtract 1 from both sides )

[tex]\frac{\sqrt{2} }{3}[/tex] r = 22 ( multiply both sides by 3 to clear the fraction )

[tex]\sqrt{2}[/tex] r = 66 ( divide both sides by [tex]\sqrt{2}[/tex] )

r = [tex]\frac{66}{\sqrt{2} }[/tex] × [tex]\frac{\sqrt{2} }{\sqrt{2} }[/tex] ( rationalising the denominator )

r = [tex]\frac{66\sqrt{2} }{2}[/tex] = 33[tex]\sqrt{2}[/tex]

Answer 2

Answer:

B) r=33*sqrt(2)

Step-by-step explanation:

sqrt(2)/3r+1=23

sqrt(2)/3r=23-1

sqrt(2)/3r=22

sqrt(2)r=22*3

sqrt(2)r=66

r=66/sqrt(2)

r=66*sqrt(2)/(sqrt(2)*sqrt(2))

r=(66*sqrt(2)/2

r=33*sqrt(2)


Related Questions

Complete the process of solving the equation.
Fill in all missing terms and select all missing descriptions. Simplify
any fractions.

15c + 11 + 6 = 17

15c + 17 = 17 (A : add 11 to both sides.
B : subtract 11 from both
sides.
C: multiply both sides
By 11.
D: divide both sides by
11.
E: combine like terms.

15c = ?

c = ?



Answers

Answer:

I can't understand what to do, so I hope this helps

15c=0

c=0/15 or c=0

Step-by-step explanation:

15c + 11 + 6 = 17

subtract 11 from both sides

15c + 6 = 6

subtract 6 from both sides

15c=0

divide both sides by 15

c=0/15

What is the value of the expression?

(514−212)+(623−312)

Enter your answer as a mixed number in simplest form by filling in the boxes.

Answers

Answer:

[tex] = { \rm{(514 - 212) + (623 - 312)}} \\ \\ = { \rm{(302) + (311)}} \\ \\ ={ \underline{ \: \: {}^{ - } 9 \: \: }}[/tex]

The world population is about 7.8 billion people now and the population grows at an annual rate of 1.1%. What will the population be in 2031?

Answers

Answer:

8.58 billion people

Step-by-step explanation:

7.8

1.1

78

78

858 place the decimal where it should be to get 8.58

Please help and quickly please and 20 points with brainelest




Thank you

Answers

Answer: The answer is B. 34

Step-by-step explanation:

3(12−9)+5^2

=(3)(3)+5^2

=9+5^2

=9+25

=34

Answer:

The answer is 34

Step-by-step explanation:

Order of operation is P.E.M.D.A.S. , or parenthesis, exponents, multiplication or division, then addition or subtraction.

3(12-9)+5²   Parenthesis3(3)+5²   Exponents3(3)+25   Multiplication9+25   Addition34   Answer

Please help me with this math problem!! NO LINKS PLEASE!! :)

Answers

Answer:

105°.

Step-by-step explanation:

1) to calculate m(∠ABC): m(∠ABC)=180-m(∠BAC)-m(∠(ACB)=180-90-65=25°;

2) note, m(∠ABC)=m∠(ABD)=25°, then it is possible

3) to calculate m(∠BAD): m(∠BAD)=180-m(∠ABD)-m(∠ADB)=180-25-50=105°.

what is the term to term rule for 2 6 18 54 162

Answers

The rule is 3x. The numbers are multiplied by 3 each time.

Answer:

It's always × by 3

Step-by-step explanation:

2×3=6

6×3=18

18×3=54

54×3=162

45 + 30 = 100 - w


Answer:



Explanation:

Answers

Answer:

w = 25

Step-by-step explanation:

45+30 = 100 - w75 = 100 - ww = 100 - 75w = 25
In order to work out “w”, you could begin by working backwards, starting with 100, then doing the inverse operation (subtracting 30 then subtracting 45).

100 - 30 = 70 - 45 = 25.

100 - 25 = 45 + 30

w = 25

someone help pls pls

Answers

Answer:

3.636 hour. dividing 200miles /55m/h =3.636h

Answer:

3 hours 38 minutes is what calculators online say

Step-by-step explanation:

You should put both answers that were given to you. The answer on top seemed to do it the mathematical way youre suppose to. Maybe the teacher will take both answers i don’t know

Krista's snow fort has an area of 6228 sq inches if it is 72 in long what is the width

Answers

Answer:

86.5 inches

Step-by-step explanation:

6228 / 72 = 86.5

it's all i the picture help!! i don't remember how to solve it

Answers

I don’t know this but I need answers sorry

PLS HELP WILL MARK YOU BRAINLIEST!!
No fake answers pls

Answers

Answer:

1. =

Step-by-step explanation:

1.

R.H.S

5.2 + 5.a

(now taking 5 common)

5(2+a)

what is the sum of 4 and -5​

Answers

Answer:

-1

Step-by-step explanation:

its like subtracting 5 and 4

If a truck leaves on Friday traveling 55 mph and is able to travel 10 hours per day, how many miles will it have driven after Monday?

Answers

it will have driven 550000 miles

I REALLY NEED HELP PLEASE!!! ILL GIVE BRAINIEST!!! IT ENDS TOMORROW I NEED HELP

Kiley and her parents traveled to visit her grandmother. They drove 24.3 miles from their house to the airport in 1/2 hour. At the airport they exited the car and walked for 3/4 hour to the waiting area by the gate to board their plane. Their walk covered 1.2 miles. From the waiting area, they walked another 0.1 mile to board the plane. The plane left the gate 45 minutes after they arrived at the waiting area. The plane flew 346 miles in 2 1/4 hours. After the plane landed, Kiley and her parents walked for 30 minutes, covering 1.1 miles, before they found a can. It was a 15-minute cab ride to get to Kiley's grandmother's house which was 12.3 miles away.

Answer the flowing questions about Kiley's trip. All questions are written in terms of an average rate. Assume the average rate includes the time that Kiley is at rest. (that is, not moving)

In this task you will write the ratio of miles to hours for each leg of Kiley's trip. You will then, express the ratio as a decimal number. Next you will find the unit rate in miles per hour for each leg of the trip. If your unit rate includes a repeating decimal number, you must include which digits repeat (for example write 0.3_ when the 3 repeats) A description of each leg is listed below in parts A-F

Part A:

A car ride from Kiley's house to the airport

Part B:

At the airport, the walk from the car to the waiting area by the gate

Part C:

The left from the waiting area to the airplanes takeoff

Part D:
the airplane ride

Part E:
The walk from the airport to the cab

Part F:

The cab ride ​

Answers

Answer:

I A

Step-by-step explanation:

A is the answer sorry I cant conform

Answer:

[tex][tex]\red{\rule{100pt}{100000pt}}[/tex][/tex]

Tell which line contains each point for triangle ABC.
the circumcenter
the orthocenter
the centroid
the incenter

Answers

5. The line that contains the circumcenter in ΔABC is: line k.

6. The line that contains the orthocenter in ΔABC is: line m.

7. The line that contains the centroid in ΔABC is: line l.

8. The line that contains the centroid in ΔABC is: line n.

What is the Circumcenter of Triangle?

Circumcenter is the point where all three perpendicular bisectors of the three sides of a triangle meet and they are of equal distance from the three vertices of the triangle.

The line that contains the circumcenter in ΔABC is: line k.

What is the Orthocenter of a Triangle?

Orthocenter is the point in a triangle where the three altitudes that are perpendicular to the opposite sides and connect with the vertices of the triangle intersect.

The line that contains the orthocenter in ΔABC is: line m.

What is the Centroid of a Triangle?

The centroid of a triangle is a the point of intersection where all three medians of a triangle. Medians of a triangle connects the vertices to the midpoints of the opposite sides of a triangle.

The line that contains the centroid in ΔABC is: line l.

What is the Incenter of a Triangle?

The incenter of a triangle is the point in a triangle where all three angle bisectors of the vertices of a triangle.

The line that contains the centroid in ΔABC is: line n.

Learn more about centers of a triangle on:

https://brainly.com/question/16045079

Write the equation of the line that has slope 1 half and passes through (4, -1).

Answers

Answer:

-1 = 1/2*4 + -3 / -1 = 1/2*4 - 3 for slope intercept equations

y + 1 = 1/2(x - 4) for point slope equations

Step-by-step explanation:

Slope intercept formula is y = mx  + b where y is the y point, x is the x point on the graph, m is the slope and b is y intercept. For this we know the slope, the x and the y axis. Now all we need to find is the y intercept, for this we would have have to multiply the x axis by the slope and then find the number to complete the equation in this case its 1/2 (slope) and 4 (x axis),

-1 = 2 + b

for this we'd subtract -2 to both sides

-1 -2 = +2 - 2 + b

Which then we'd get,

-3 = b

So our Y intercept is -3

To complete the equation we'd finish it with putting everything together,

-1 = 1/2*4 + -3 or -1 =1/2*4 -3

If it were a point slope equation (y - y₁ = m(x - x₁)) we have the y₁, x₁ and the slope value 1/2, so we have all we need to fill in the point slope equation and here it is,

y + 1 = 1/2(x - 4)

Hope this helps!

Determine the two positive integers each square root falls between.


10. ✔️28


11. ✔️3


12. ✔️59


13. ✔️115


14. ✔️772


15. ✔️140

Answers

Answer:

  10. (5, 6)

  11. (1, 2)

  12. (7, 8)

  13. (10, 11)

  14. (27, 28)

  15. (11, 12)

Step-by-step explanation:

If you're not familiar with the squares of small integers, your calculator can help you figure this.

10. √28 ≈ 5.291 . . . . between 5 and 6

11. √3 ≈ 1.732 . . . . between 1 and 2

12. √59 ≈ 7.681 . . . . between 7 and 8

13. √115 ≈ 10.724 . . . between 10 and 11

14. √772 ≈ 27.785 . . . . between 27 and 28

15. √140 ≈ 11.832 . . . . between 11 and 12

Pointing to a photograph, a man said, "I have no brother, and that man's father is my father's son." Whose photograph was it?

Answers

The man’s son. Since the man has no brothers and the father of the man in the photograph is the man’s father’s son, the father of the man in the photograph must be the man. That means that the man in the photograph is the man’s son.

Please help me with my question

Answers

Answer:

[tex]\huge\color{Black}\boxed{\colorbox{pink}{Answer♡}}[/tex]

Given ,

[tex]p(x) = ax {}^{3} + 8x {}^{2} + bx + 5 ...(1)[/tex]

Also According to Question ,

on dividing polynomial p(x) by ( x + 2 ) , we obtain ( -25 ) as a remainder.

Therefore , putting the value of x as ( x = -2 )

[tex]p( - 2) = a( - 2) {}^{3} + 8( - 2)^{2} + b( -2) + 5[/tex]

[tex]p( - 2) = - 8a + 32 - 2b + 5 = - 25 \\ = > - 8a - 2b + 37 = - 25 \\ = > - (8a + 2b) = - (25 + 37) \\ cancelling \: negative \: sign \: at \: both \: sides \\ 8a + 2b = 52 \\ dividing \:both \: sides \: by \: 2 \\ 4a + b = 26...(2)[/tex]

also given that..

when the polynomial p(x) is divided by 2x-1 , it gives 0 as the remainder , i.e. , 2x-1 is a root of p(x)

putting value of x = 1/2 in equation (1)

[tex]p( \frac{1}{2} ) = a( \frac{1}{2}) {}^{3} + 8( \frac{1}{2} ) {}^{2} + b( \frac{1}{2} ) + 5 = 0 \\ = > \frac{a}{8} + \frac{8}{4} + \frac{b}{2} + 5 = 0 \\ = >taking \: LCM \\ = > \frac{a + 16 + 4b + 40}{8} = 0 \\ = > \frac{a + 4b + 56}{8} = 0 \\ = > a + 4b = - 56...(3)[/tex]

Now , we have equations (2) and (3) as...

4a + b = 26... (2)

a + 4b = -56... (3)

multiply equation (2) by 4..

16a + 4b = 104...(4)

Solving equations (3) and (4)

a ‎ ‎ ‎ ‎ ‎+ 4b = -56

16a + 4b = 104

-‎ ‎ ‎ ‎ ‎‎ -‎ ‎ ‎ ‎ ‎- ‎ ‎ ‎ ‎ ‎‎ ( bc signs are same )

solving these equations we get,

-15a = -160

a = -160/-15

a = 32/3

putting value of a in (2) , we get...

[tex]4a + b = 23 \\ 4( \frac{32}{3} ) + b = 23 \\ \frac{128}{3} + b = 23 \\ b = 23 - \frac{128}{3} \\ taking \: LCM \\ b = \frac{69 - 128}{3} \\ = > b = \frac{ -59}{3}[/tex]

hope helpful~

how to express each of the following ratios in simplest dorm​

Answers

Step-by-step explanation:

I am sorry but please give detailed question

4 out of the 10 employees at the sports shop are part-time employees. What percentage of the employees at the sports shop work part-time?

Write your answer using a percent sign (%).

Answers

Answer:

40%

Step-by-step explanation:

Well, if 4/10 work part time, 4/10 converted to percentages is 40%.

name all the properties of a square

Answers

Answer:

Here :)

Equilateral Polygon,

Convex Polygon,

Cyclic

Isgonal Figure

Istoxal Figure

PLEASE HELP I NEED ANSWERS!!

Answers

Step-by-step explanation:

2. Commutative Property of Multiplication

3. Associative Property of Multiplication

4/5/6 Distrubtitive Property.

which of the points does not fall on the same line as the other three points? (-4,4) (0,2) (2,1) (4,-1)​

Answers

Answer:

Given (-4,4),(0,2),(2,1),(4,-1)

Only any two points are on the same line.

Step-by-step explanation:

You could do a lot of calculations, write the equations for the points in the line. These would be very good. But, you could also just look at the points on a graph. See image.

Repost if there are different points in the original problem.

A salesperson works 40 hours per week at a job where she has two options for being paid. Option A is an hourly wage of ​$24. Option B is a commission rate of 10​% on weekly sales. How much does she need to sell this week to earn the same amount with the two​ options?

Answers

Answer: the answer is $9,600

Step-by-step explanation:

option A = 40(24)   =  option B = x (.1)       where x is her gross sales

40(24) = x(.1)

40(24)/.1 = x = sales = $9600

I rlly don’t understand due today please help!

Answers

Answer:

a) 2x+4

b)x=8

Step-by-step explanation:

a) x+x+4 =2x +4

b) 2x+4= 20

2x = 16

x=8

Jay bought 8 packets of Chips

c) Jay: 8 x 60

=£4,80

Lauren : 12 × 60

= £7,2

Lily has 7 fewer ribbons than Dora. Lily has 13 ribbons. How many ribbons does Dora have?

Answers

Answer: 6

Step-by-step explanation:

13-7=6

In the triangle below,
x = [ ? ] cm. Round to the
nearest tenth.
х
12 cm
170° 90°

Answers

Answer:

sine 70 = opposite / hypotenuse

sine 70 = 12 / x

x = 12 / sine 70

x = 12 / 0.93969

x = 12.7701688855 cm

x = 12.8 cm (rounded to nearest tenth.

Step-by-step explanation:

Can anyone solve this . Please tell the method as well

Answers

2^7b = 2^5

Now you have like bases. This means that you can set the exponents equal , meaning 7b= 5. B =5\7

8:07, 8:58, ?, 10:43, 11:37
61
9:51
9:50
9:53
9:49

Answers

Answer:

  9:50

Step-by-step explanation:

It appears the sequence has 0:51 as the first difference, and those differences increase by 0:01 in each interval. That means ? must be chosen so that ...

  ? - 8:58 = 0:52   ⇒   ? = 8:58 +0:52 = 9:50

  10:43 -? = 0:53   ⇒   ? = 10:43 -0:53 = 9:50

The missing time is 9:50.

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