What is the value of r in the equation 2(2r + 8) = 3r + 16?

Answers

Answer 1

Answer:

r=0

Step-by-step explanation:

2(2r+8) = 3r + 16

2×2r + 2×8 = 3r + 16

4r + 16 = 3r + 16

4r + 16 - 3r = 3r + 16 - 3r

r + 16 = 16

r + 16 - 16 = 16 - 16

r = 0

Hope this Helps!!!


Related Questions

5 (x - 9) = 2x + 5 =

Answers

Answer : x = 50/3

if you need an explanation feel free to ask in my comment

Answer:

16 1l4

Step-by-step explanation:

simplify 5x-45=2x +5

collect the like terms

5x-2x=45+5

3x=50

x is 16 1/4

(2x2 + 4x - 3)(x2 - 2x + 5)

2x4 + 7x2 - 15
2x4 - 8x2 - 15
2x4 - x2 + 26x - 15

2x4 + 8x3 - x2 + 26x - 15

Answers

Answer:

The answer is (C)

Step-by-step explanation:

Let us multiply the two trinomials and simplify the product to find the correct choice.

[tex](2x^{2}+4x-3)(x^{2}-2x+5)[/tex]

To find the product multiply each term in the first bracket by the second bracket, then add the like terms

[tex]2x^{2} (x^{2}-2x+5)=2x^{2}(x^{2})+2x^{2}(-2x)+2x^{2}(5)=2x^{4}-4x^{3}+10x^{2}[/tex]

[tex]4x(x^{2}-2x+5)=4x(x^{2})+4x(-2x)+4x(5)=4x^{3}-8x^{2}+20x[/tex]

[tex](-3)(x^{2}-2x+5)=(-3)(x^{2})+(-3)(-2x)+(-3)(5)=-3x^{2}+6x-15[/tex]

Now let us add the like terms.

[tex]2x^{4}-4x^{3}+10x^{2}+4x^{3}-8x^{2}+20x-3x^{2}+6x-15=[/tex]

[tex]2x^{4}+(-4x^{3}+4x^{3})+(10x^{2}-8x^{2}-3x^{2})+(6x+20x)-15=[/tex]

Simplify each term

[tex]2x^{4}+(0)x^{3}-x^{2}+26x-15=[/tex]

[tex]2x^{4}-x^{2}+26x-15[/tex]

By comparing it with the choices

The answer is (C)

Answer:

This is the answer 2x4 - x2 + 26x - 15

Step-by-step explanation:

The area, A, of a circle is given by A = π r2, where r is the radius of the circle. Round all values to the nearest whole number before substituting into the formula in order to estimate the area of a circle with radius 11.3 centimeter

Answers

Answer:

A =363 cm^2

Step-by-step explanation:

A = π r^2

r = 11.3

Rounding to the nearest whole number

r =11

pi = 3.14

Rounding to the nearest whole number

pi = 3

A = 3 * 11^2

A = 3 *121

A =363 cm^2

Answer:

363

Step-by-step explanation:

i just did the quiz

15 - 9 + 2.65 + 1.35 + 2(1.74)

Answers

15 - 9 + 2.65 + 1.35 + 3.48
6 + 2.65 + 1.35 + 3.48
8.65 + 1.35 + 3.48
10 + 3.48
13.48

Which step could be used to solve x + 3.6 = negative 1.7 for x in one step? Select two options.

Answers

Answer:

2 and 5

Step-by-step explanation:

Took quiz

Answer:

Which step could be used to solve x + 3.6 = negative 1.7 for x in one step? Select two options.

(B) Add Negative 3.6 to both sides.

(E) Subtract 3.6 from both sides.

Step-by-step explanation:

what is 1/4 of 5 kg please say i need it

Answers

Answer:

1.25 kg

Step-by-step explanation:

1/4 = 0.25

0.25 of 5

0.25 × 5 = 1.25

Bro can someone help me out?

Answers

Answer:

16.8 cm

Step-by-step explanation:

Volume = length x width x height

V = 4 x 3 x 1.4

V = 16.8

Suppose Q is the midpoint of PR. PR = 9x - 31 and QR = 43. Find X

Answers

Greetings from Brasil...

Since Q is the central point of PR, then PQ = QR and PQ = PR/2 or QR = PR/2

QR = PR/2

PR = 2 · QR

9X - 31 = 2 · 43

X = 13

The value of x is 13.

What is a line segment ?

A line segment is basically a line which has two end points.

A line has always a linear equation which has highest degree of 1

According the given question

Line segment is PR and midpoint is Q

Given QR = 43 which one end to the midpoint

∴ Total length of the line segment is 2×43

= 86

Given PR = 9x - 31 which is the total length of the line segment.

∴ 9x - 31 = 86

  9x = 86 + 31

  9x = 117

    x = 117/9

    x = 13.

Learn more about line segment here :

https://brainly.com/question/25727583

#SPJ6

At a local acoustic guitar shop, the lute maker sets the strings of the guitars to a height of between 2/32 and 4/32 inches above the fingerboard. Express the range of acceptable heights using a tolerance.

A 3/32+1/32 inch
B 4/32+2/32 inch
C 3/32 inch
D 3/32+3/32 inch

PLEASE HELP ASAP I APPRECIATE IT SO MUCH :)

Answers

Answer:

A: 3/32+1/32 inch

Step-by-step explanation:

So we have the measurements 2/32 and 4/32. We are told the heights range between these two measurements.

What's between 2/32 and 4/32? 3/32.

Since the problem says "between", that must mean 2/32 and 4/32 are the limits of the height.

Now, if we add or subtract 1/32 from 3/32, we get the previous measurements listed.

Hope that helps!  

Find the mean of these numbers : 35,42,41,32,30

Answers

Answer:

156

Step-by-step explanation:

Answer:

36 is the correct answer

Step-by-step explanation:

You add all the numbers and divide that by how many numbers there are which gives you the mean.

Determine whether the given procedure results in a binomial distribution. If it is not​ binomial, identify the requirements that are not satisfied.Randomly selecting 50 adults and asking if they like rap music comma recording Yesor NoChoose the correct answer below.A.​No, because the probability of success does not remain the same in all trials.B.Yes comma because all 4 requirements are satisfied.C.​No, because there are more than two possible outcomes and the trials are not independent.D.No comma because there are more than two possible outcomes.

Answers

Complete question is;

Determine whether the given procedure results in a binomial distribution. If it is not​ binomial, identify the requirements that are not satisfied.Randomly selecting 50 adults and asking if they like rap music on a scale of 1 - 10.

Choose the correct answer below.

A.​ No, because the probability of success does not remain the same in all trials.

B. Yes, because all 4 requirements are satisfied.

C. ​No, because there are more than two possible outcomes and the trials are not independent.

D. No, because there are more than two possible outcomes.

Answer:

Option D: No, because there are more than two possible outcomes.

Step-by-step explanation:

A binomial distribution is simply defined as the probability of having an outcome in an experiment or survey that is either a success or a failure and having it repeated multiple times. Therefore, we can say that binomial distribution is a type of distribution that has only two possible outcomes.

Now in the question, 50 adults are selected randomly and asked if they like rap music on a scale of 1 - 10. It means there is a possibility of having more than two outcomes. Therefore, it means it is not binomial.

m=ad-2f^2 (find a) and 1/3HB=T (find B) please help im so lost

Answers

Answer:

[tex]a=\frac{m+2f^2}{d}\\\\ B=\frac{3T}{H}[/tex]

Step-by-step explanation:

1.) Find a

Solve the given equation for a (change it to lool like a=...). Isolate the variable a to find its value. Subtract 2f² from both sides:

[tex]m+2f^2=ad-2f^2+2f^2\\\\m+2f^2=ad[/tex]

Divide both sides by d:

[tex]\frac{m+2f^2}{d}=\frac{ad}{d}\\\\ a=\frac{m+2f^2}{d}[/tex]

2.) Find B

Solve the equation for B (change it to look like B=...). Isolate the variable B to find its value. Simplify:

[tex]\frac{1}{3}HB=T\\\\\frac{HB}{3}=T[/tex]

Multiply both sides by 3:

[tex]3(\frac{HB}{3})=3(T)\\\\ HB=3T[/tex]

Divide both sides by H:

[tex]\frac{HB}{H}=\frac{3T}{H}\\\\ B=\frac{3T}{H}[/tex]

:Done

Marsha bought a birthday card for $2.86 and a pen for $1.57. She paid with a $20 bill. How much change should Marsha have received?

F $15.57
F $15.57

G $24.43
G $24.43

H $17.77
H $17.77

J $16.57
J $16.57

Answers

Answer: F 15.57

Step-by-step explanation:

2.86+1.57= 4.43

20-4.43=15.57

A Galapagos tortoise can walk 1/5 mile in an hour. How many hours would it take the tortoise to walk 1/6 mile?

Answers

Answer:

0.834 hours

Step-by-step explanation:

Given that,

A Galapagos tortoise can walk 1/5 mile in an hour.

We need to find time would it take the tortoise to walk 1/6 mile.

1/5 mile = 1 hour

1 mile = [tex]\dfrac{1}{\dfrac{1}{5}}=5\ \text{hour}[/tex]

For 1/6 mile = [tex]\dfrac{1}{6}\times 5=0.834\ \text{hour}[/tex]

It will take 0.834 hours to walk 1/6 mile.

Answer: 1/6 divided by 1/5=5/6 of an hour

Step-by-step explanation:

A developer has 7 1/2 acres of land to build houses on. If each house is to be built on 1/4-acre lot, how many houses can he build?

Answers

Answer:

It should be 30

30 houses can be built

The Geology Club of Gilroy Middle School took a field trip to Nisene Marks State Park to visit the epicenter of the 1989 earthquake. There were 3 adults for every 8 students on the field trip. A total of 44 people went on the field trip. How many adults were on the field trip?

Answers

Answer:

12 adults

Step-by-step explanation:

We can solve this in a couple of simple steps. First, since there are 3 adults for every 8 students we add these two numbers together

3+8 = 11

Now we simply divide this number by the total amount of people that went to the trip in order to get how many times this set of adults and students repeats itself.

44 / 11 = 4

Finally, we multiply this number by the set of 3 adults in order to find out how many adults went to the trip.

4 * 3 = 12 adults

8 * 3 = 32 Students

Anyone know what 3 x 4 to the 7th power divided by 9 is.

Answers

5,461 is what I got.

Write an equation to represent the following sta
The product of 12 and k is 84.
+
I’m

Answers

Answer:

12k=84

Step-by-step explanation:

If you meant write it out, its 12k=84. If you are asking what k is, it is 7

A family traveled 523 miles in 11 1/2 hours.

The distance is the product of the rate and the time.

To the nearest hundredth, what was the average speed the family traveled?

HURRY! FIRST ANSWER GETS BRAINLIEST!!!!

Answers

Answer:

45.4782609 miles per hour

Step-by-step explanation:

523 miles

11 1/2 hours

523 / 11.5

On a coordinate plane, a line with negative slope goes through (negative 8, 6) and (4, negative 4). A point is at (negative 6, 10).
Which is the ordered pair for the point on the x-axis that is on the line parallel to the given line and through the given point (–6, 10)?

(6, 0)
(0, 6)
(−5, 0)
(0, −5)

Answers

Answer:

a

Step-by-step explanation:

Answer:

It is a

Step-by-step explanation:

This is because the slope is -5/6, so if you graph it then the point will come out as 6,0.

What is the mean speed of 5 swimmers in a race if their times were, in seconds: 22,22,28,30,36
?

Answers

Answer:

The mean is 27.6

Step-by-step explanation:

Formula:   Sum of all data values divided by number of data values.

22+22+28+30+36=138

138/5=27.6

Good Luck! Hope this helps!

I need Help plsss :)

Answers

Answer:

Step-by-step explanation:

ab=ab (common)

angle d = angle c (isosceles prperty)

angle a = angle a (common)

there for the triangle is congruent so sides are congruent by CPCT

plss help I have been asking for help since no one has helped me plss this has been due for a long time plss help me :(
Write and solve an equation for the consecutive integer problem.
1. Find four consecutive even integers with a sum of - 52
2. Find two consecutive integers with a sum of 29
3. Find four consecutive odd integers with a sum of 200
4. If the lesser of two consecutive even integers is live more than half the greater, what are the two integers?
5. If the sum of the first two consecutive even integers is equal to three times the third, what are the three integers?
6. Find four consecutive integers such that three times the sum of the first two integers exceeds the sum of the last two by 70
7. Find a set of five consecutive integers such that the greatest integer is three times the least​

Answers

Step-by-step explanation:

hi I am Cynthia am in form one at lugulu girls high school here in Kenya. 1 in that question write x to be one of your consecutive numbers because you don't know the actual number okay?then go to x+1,x+2,x+3.since they were 4 consecutive numbers you already written them down so you need to equate like this x+x+1+x+2+x+3=52 so from there you can continue so any questions just let me know okay?

Answer:

1 (-10,-12,-14,-16)

2(14,15)

3(48.75,50.75,47.75,52.75)

5(-10,-8,-6)

Anand needs to hire a plumber. He's considering a plumber that charges an initial fee of \$65$65dollar sign, 65 along with an hourly rate of \$28$28dollar sign, 28. The plumber only charges for a whole number of hours. Anand would like to spend no more than \$250$250dollar sign, 250, and he wonders how many hours of work he can afford. Let HHH represent the whole number of hours that the plumber works. 1) Which inequality describes this scenario? Choose 1 answer: Choose 1 answer: (Choice A) A 28+65H \leq 25028+65H≤25028, plus, 65, H, is less than or equal to, 250 (Choice B) B 28+65H \geq 25028+65H≥25028, plus, 65, H, is greater than or equal to, 250 (Choice C) C 65+28H \leq 25065+28H≤25065, plus, 28, H, is less than or equal to, 250 (Choice D, Checked) D 65+28H \geq 25065+28H≥25065, plus, 28, H, is greater than or equal to, 250 2) What is the largest whole number of hours that Anand can afford? hours

Answers

Answer: (1) C. 65 + 28H < 250

(2) 6

Step-by-step explanation:

Here is the correct question:

Anand needs to hire a plumber. He's considering a plumber that charges an initial fee of $65 along with an

hourly rate of $28. The plumber only charges for a whole number of hours. Anand would like to spend no more than $250, and he wonders how many hours of work he can afford.

Let H represent the whole number of hours that the plumber works.

1) Which inequality describes this scenario?

Choose 1 answer:

A. 28 + 65H < 250

B. 28 + 65H > 250

C. 65 + 28H < 250

D. 65 +28H > 250

2) What is the largest whole number of hours that Anand can afford?​

Since the initial fee charged by the plumber is $65 and an hourly rate of $28, and Anand would like to spend no more than $250. This means that the addition of the initial fee plus the hourly fee based on number of hours worked will have to be less than $250. This can be mathematically expressed as:

= 65 + 28H < 250

That means option C is the correct answer.

Option B and D are incorrect because the greater sign was used but Anand doesn't want to spend more than $250 but the options denoted that he spent more than $250 which isn't correct.

2)'The largest whole number of hours that Anand can afford goes thus:

65 + 28H < 250

28H < 250 - 65

28H < 185

H < 185/28

H < 6.6

Therefore, the largest whole number of hours that Anand can afford is 6.

Answer: The Answer is 65+28H < 250 and the largest amount of hours is 6

Step-by-step explanation:

HELP I NEED HELP ASAP

Answers

A,B,C is the answer :)

Solve Dy + Az = B for z

Answers

Answer:

B/ADY=Z

Step-by-step explanation:

Just rearrange and divide the variable on each side

(I don’t have much experience with this but it might be wrong but unless you want it in another way I’m glad to edit this answer!)

What is this
B/ADY= Z

-(3z)² how do I simplify it because the question tells me to simply -(3z)² ​

Answers

Answer:

-9z²

Step-by-step explanation:

-(3z)²

-(3z * 3z)

-(9z)

-9z²

Best of Luck!

Classify the following triangle. Check all that apply. A. Right B. Equilateral C. Scalene D. Acute E. Obtuse F Isosceles​

Answers

Answer: it is an acute triangle

Explanation:

Because an acute triangle has three equal less-than-90-degree-angle corners. Hope this helps!

what is the solution to the equation 1/2x + 3 = 2/3 x + 1

Answers

Answer:

x=12

Step-by-step explanation:

imma multiply the equation by 6 since i hate working with fractions but you could do this without doing that

3x+18=4x+6

subtract 3x from both sides

18=x+6

subtract 6 both sides

12=x

Samantha has 3 cats. She has 10 treats left in the pantry for them. If she splits the treats equally among the 3 cats, how many treats will each cat receive? Submission​

Answers

Answer:

3 treats each.

Step-by-step explanation:

3 cats divided by 10 = 9 remainder 1 and 3 times 3 = 9.

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