find three consecutive even integers whose sum is 54

Answers

Answer 1
17, 18, 19

17+18+19=54

Related Questions

If R1 and R2 be the resistance of the filament of 40 W and 60 W
respectively operating 220 V, then

R1 R2 R1 = R2
R1 R2

Answers

Answer:

R2 > R1

Step-by-step explanation:

Here in this question, we want to select which of the relations best gives the answer.

Mathematically;

Power = Voltage * current

But current = voltage/resistance

Power = voltage * voltage/resistance

P = V^2/R

For 40 W

40 = (220)^2 * R1

R1 = 40/(220)^2

For 60 W

60 = (220)^2 * R2

R2 = 60/(220)^2

Mathematically, since we have the same denominator (220)^2 but with 60 greater than 40, that automatically translates to the fact that the value of R2 is greater than the value of R1( You can finish evaluating each of the expressions using a calculator).

Determine whether the sequence is arithmetic, geometric or neither. Then, write a recursive rule and an explicit rule, if possible 0.25, 1.75, 3.75, 5.75, 7.75, …

Answers

Answer:

Ok, here we have the sequence:

0.25, 1.75, 3.75, 5.75, 7.75, …

First let's define the two most common types of sequences:

Arithmetic: The difference between any two consecutive terms of the sequence is always the same.

Geometric: In this case, the terms are created by multiplicating the previous term by a constant number (and this is for all the terms in the sequence).

Now let's try to see if this is arithmetic, to do it, we select different sets of two consecutive terms and see their difference, if all the differences are the same, then this is an arithmetic sequence:

1.75 - 0.25 = 1.5

3.75 - 1.75 = 2

5.75 - 3.75 = 2

So for the first two terms, the difference is 1.5 and for all the next ones, the difference is 2, then it is not an arithmetic sequence.

(it would be if the first term was -0.25 instead of 0.25).

Now let's try with geometric.

To see if the series is geometric, we should see the quotient of consecutive pairs of numbers, if this quotient is the same for all of them, then this is a geometric sequence:

1.75/0.25 = 7

3.75/1.75 = 2.14

Well, we can see that the quotients are different, then this can not be a geometric sequence.

Then the answer will be neither.

If we want to write a recursive rule will be like an arithmetic sequence, but with the first two terms specified as:

a₀ = 0.25

a₁ = 1.75

aₙ = aₙ₋₁ + 2 for n = 2, 3, 4, .......

If y varies directly with x and y = 26 when x = 8, write the equation that represents this direct
variation relationship,

Answers

Step-by-step explanation:

General equation for directly proportional variables: y = kx, where k is a real constant

When x = 8, y = 26.

Hence y = 26/8 x or y = 13/4 x.

The equation will be ; y = [tex]\frac{26}{8}[/tex] × x .

It is given that y varies directly with x and y = 26 when x = 8.

We have to find out an equation that represents this relationship.

What will be the 8 times of a number x ?

The number will 8 x.

The direct variation relationship equation will be ;

y = k × x

where ; k = a constant

Given ;

at x = 8 ; y = 26

so the value of k = 26 / 8

and the required equation will be ;

y = ([tex]\frac{26}{8}[/tex]) × x

Thus , the equation will be ; y = [tex]\frac{26}{8}[/tex] × x .

To learn more about algebraic expressions click here ;

https://brainly.com/question/2164351

#SPJ2

Joshua is keeping a record of the temperatures this week in December. The temperatures this week are shown below. What is the difference between the coldest temperature and warmest temperature that Joshua recorded

Answers

Answer:

Find the highest (8.9°C) temperature and subtract it by the lowest (-13.4°C)

8.9°C - (-13.4°C) = 22.3

The difference in temperature on the coldest and warmest day is 22.3°C

tell the absolute value of:​

Answers

The absolute value of any number is that number as a positive one.

Absolute value of -1/2 is 1/2

If AB = 4x +10, BC = 2x +3 and AC= 9x - 15 find AC. and show work plzz !!!!

Answers

Answer:

Step-by-step explanation:

AB + BC = AC

4x + 10 + 2x + 3 = 9x - 15

6x + 13 = 9x - 15

6x + 13 + 15 = 9x

6x + 28 = 9x  

3x = 28

x = 9 1/3 = 28/3

AC = 9 * 28/3 - 15

AC = 3 * 28 - 15

AC = 84 - 15

AC = 69

If the product of p*q*r is an irrational number, and p is a rational number,
which of the following statement can be said about g andr
Only a can be irrational
Both q and must be irrational
Both qand may be irrational
may beration

Answers

Answer:

only q or r can be irrational

Step-by-step explanation:

Rational numbers are numbers that can be expressed in the form a/b, where both a and b are integers and b ≠ 0. The decimal representation of an rational  numbers either repeats the sequence of digits over again or terminates at a finite number.

Irrational numbers are numbers that are not rational. The decimal representation of an irrational  number does not repeat a sequence of digits over again and never terminates. e.g √2, π.

The product of two irrational numbers is a rational number, the product of two rational numbers is a rational number while the product of a rational and irrational number is an irrational number. Hence since in p*q*r is an irrational number and p is a rational number, If both q and r are irrational then:

q*r = irrational * irrational = rational

p*(q*r) = rational * rational = rational. Since the result is not an irrational number then both q and r cannot be irrational.

But, If either q and r are irrational then:

q*r = irrational * rational = rational * irrational = irrational

p*(q*r) = rational * irrational = irrational. Since the result is an irrational number then only q or r can be irrational

Answer:

1) Both q and r may be rational

2) r may be rational if q is irrational

Step-by-step explanation:

I did the quiz and got it right. Also I watched the video twice. You got this!!!!

6x + y = 4x + 11y

Write a formula for h(x) in terms of x.

h(x)=

Answers

Answer:

h(x) = 10y/2

Step-by-step explanation:

6x + y = 4x + 11y

6x - 4x = 11y - y

2x = 10y

divide both side by 2

x = 10y/2

h(x) = 10y/2

The town librarian bought a combination of new-release movies on DVD for $20 and classic movies on DVD for $8. Let x represent the number of new releases, and let y represent the number of classics. If the librarian had a budget of $500 and wanted to purchase as many DVDs as possible, which values of x and y could represent the number of new-release and classic movies bought? x = 8, y = 45 x = 10, y = 22 x = 16, y = 22 x = 18, y = 18

Answers

He'll buy 16 new releases and 22 classic movies.

Let x = number of new releases

Let y = number of classics.

The equation to solve the question will be:

20x + 8y = 500

When x= 16 and y = 22, thus will be:

= 20x + 8y

= 20(16) + 8(22)

= 320 + 176

= 496

Therefore, since this is the number closest to $500, therefore this will be the appropriate number of movies that he can buy.

In conclusion, he'll buy 16 new releases and 22 classic movies.

Read related link on:

https://brainly.com/question/17742381

Answer:

x = 16, y = 22

Step-by-step explanation:

Math questions please! I need them now. As much as u can

Answers

Answer:

The first one

Step-by-step explanation:

It is the first one as it is just the original expanded.

It isn't the third on because the second bracket is technically - 1x-6 so it is positive.

2xa=-2a

2x-3=-6 etc.

Hope this helped!

How to find the domain when given the range? Plz answer quickly. I have test on Friday. Plz just explain to me. I Just Need To Find DOMAIN when given the range.

Answers

Answer:

the domain represents all the x values and range represents all the y value

In a function y=mx+b ( linear equation), the problem is giving the y values so plug in the value of each (y) in the equation to get x.

example: the range is : { 2,4,6} find the domain in the function y=x+1

y=x+1  take value 2

2=x+1

x=1  when y=4 then x=3when y=6 then x=5the domain is { 1,3,5}

this goes for linear equation

Dylan is 15, which is 3 years older than twice his sister Savannah’s age. How old is savannah

Answers

Answer:

Savannah's age = 6 years

Step-by-step explanation:

Let

Savannah's age = x

Dylan's age = 15

Dylan is 15, which is 3 years older than twice his sister Savannah’s age

Dylan = 2x + 3

Find Savannah's age

2x + 3 = 15

Subtract 3 from both sides

2x + 3 - 3 = 15 - 3

2x = 12

Divide both sides by 2

2x / 2 = 12 / 2

x = 6

Therefore,

Savannah's age = x

= 6 years

Dylan's age = 2x +3

= 2*6 + 3

= 12 + 3

= 15 years

Convert 21.7 kilometers to centimeters.​

Answers

Step-by-step explanation:

Notice that 1km = 1000m = 100000cm.

Therefore 21.7km = 2170000cm.

Answer:

2170000 cm

Step-by-step explanation:

21.7 k/m × 10³ × 10²

Two hikers are 22 miles apart and walking toward each other. They meet in 5 hours. Find the rate of each hiker if one hiker walks 2.2 mph faster than the other

Answers

Answer:

The hikers A and B travel at rates of 1.1 miles per hour and 3.3 miles per hour, respectively.

Step-by-step explanation:

Let suppose that each hiker travels at constant speed, such that kinematic formulas are, respectively:

Hiker A

[tex]x_{A} = x_{A,o}+v_{A}\cdot t[/tex]

Hiker B

[tex]x_{B} = x_{B,o} +v_{B}\cdot t[/tex]

Relationship

[tex]v_{A} =- v_{B}-2.2\,mph[/tex] (They walk toward each other)

Where:

[tex]x_{A,o}[/tex], [tex]x_{A}[/tex] - Initial and final position of the hiker A, measured in miles.

[tex]x_{B,o}[/tex], [tex]x_{B}[/tex] - Initial and final position of the hiker B, measured in miles.

[tex]t[/tex] - Time, measured in hours.

[tex]v_{A}[/tex], [tex]v_{B}[/tex] - Velocities of hikers A and B, measured in miles per hour.

Given that [tex]x_{A,o} = 0\,mi[/tex], [tex]x_{B,o} = 22\,mi[/tex], [tex]x_{A} = x_{B}[/tex] and [tex]t = 5\,h[/tex], the system of equation is reduced to the following:

[tex]0\,mi -(v_{B}+2.2\,mph)\cdot (5\,h) = 22\,mi+v_{B}\cdot (5\,h)[/tex]

[tex]-5\cdot v_{B}-11 = 22+5\cdot v_{B}[/tex]

[tex]10\cdot v_{B} = -33[/tex]

[tex]v_{B} = -3.3\,mph[/tex]

Now, the velocity of the hiker A is:

[tex]v_{A} = - (-3.3\,mph)-2.2\,mph[/tex]

[tex]v_{A} = 1.1\,mph[/tex]

The hikers A and B travel at rates of 1.1 miles per hour and 3.3 miles per hour, respectively.

Maya has 120 cupcakes to sell. Each cupcake is covered with one topping. 1/5 of the cupcakes are covered with peanuts. 1/3 are covered with chocolate chips. 36 are covered with coconut. The rest are covered with sprinkles. How many cupcakes are covered with sprinkles?

Answers

Answer:

There are 20 cupcakes covered with sprinkles.

Step-by-step explanation:

To find the amount of cupcakes that are covered with sprinkles you would have to subtract the amount of cupcakes covered with peanuts, the ones covered with chocolate chips and the ones covered with coconut from the total amount of cupcakes:

Total amount of cupcakes=120

cupcakes covered with peanuts=1/5*120=24

cupcakes covered with chocolate chips=1/3*120=40

cupcakes covered with coconut=36

Now, you can subtract the different cupcakes from the total amount to find the quantity left that would be the ones covered with sprinkles:

cupcakes covered with sprinkles=120-24-40-36

cupcakes covered with sprinkles=20

According to this, the answer is that there are 20 cupcakes covered with sprinkles.

2. The expression 35^2 is equivalent to the product of two perfect squares (each greater than 1). You can find the two
perfect squares by factoring 35^2.
Write the perfect squares that have a product equivalent to 35^2.

Answers

Answer:

25 and 49.

Step-by-step explanation:

Because 35 = 5 * 7,

35^2 = 5^2 * 7^2

= 25 * 49.

Please put the answers for this worksheet in your answer! Thanks so much. Answers: 16-22. Picture Below

Answers

16. 18/8/25 = 458/25 = 18.32

17. No because it cannot be written as ratio of two numbers

18. 3/3/11 + 3.27 = 36/11 + 35.97/11

= 6/5/11

19. ( not able to answer)

20. Diameter of pizza. = 10.333333

Length of the pizza box = 10.38

10.38 > 10.33333

Therefore, the pizza box is big enough to fit the pizza inside

21. 110/147/168 = 110/49/56

22. 4/5 = 0.8

5/6 = 0.8333333..................

Therefore, the second and the fifth might be correct.

Dinosaurs became extinct hundreds of millions of years ago. Scientists have been trying to determine the cause of the extinction. There have been many different claims about how dinosaurs disappeared.

Which best explains why there could be more than one claim about the disappearance of the dinosaurs?
All the claims can be validated through experimentation.
Data results can be interpreted in different ways.
Political groups have influence on what scientists say.
The different scientists are not experts in the field.

Answers

Answer:data results can be interpreted in different ways

Step-by-step explanation:

Answer:

C-Data results can be interpreted in different ways

Step-by-step explanation:

Edg. 2020

here's proof

find the real numbers x and y that make the equation true (x+6i)=(3-i)+(4-2yi)​

Answers

Answer:

x = 7

y = -7/2

Step-by-step explanation:

(x+6i)=(3-i)+(4-2yi)​

First look at the real parts

x = 3 +4

x = 7

Then look at the imaginary part

6i= -i -2yi

6 = -1-2y

Add 1 to each side

6+1 = -2y

7 = -2y

Divide by -2

7/-2 = y

I need help solving this!!

Answers

Answer:

addition

Step-by-step explanation:

32(d/2 - 5) = 224

divide both side by 32

d/2  - 5 = 224/32

d/4  - 5 = 7

multiply both sides by 4

d - 20 = 28

lastly, add 20 to both sides

d = 28 + 20

d = 48

therefore, the last step is addition

3 · -8 + 5 - 4 ÷ 2= please help will mark as brainiest

Answers

The Answer is 11.5 because 3•-8=-24+5=-19-4=-23%2 gives you 11.5

Solve the inequality $-4(x + 4) > x + 7.$ Give your answer as an interval.

Answers

Answer:

[tex](-\infty,-4.6)[/tex]

Step-by-step explanation:

So we have the inequality:

[tex]-4(x+4)>x+7[/tex]

First, let's distribute the left:

[tex]-4x-16>x+7[/tex]

Now, let's add 16 to both sides:

[tex]-4x>x+23[/tex]

Subtract x from both sides:

[tex]-5x>23[/tex]

Divide both sides by -5. Since we're dividing by a negative, flip the sign:

[tex]x<-4.6[/tex]

This is saying all values less than -4.6.

In other words, in an interval, this would be from negative infinity all the way up to -4.6. Thus:

[tex](-\infty,-4.6)[/tex]

We do not use brackets because we do not include -4.6 into our set.

And we're done!

Simplify 4a – 7b + 2ab – a + b.

Answers

Answer:

3a-6b+2ab

Step-by-step explanation:

The reciprocal of a number is added to three.The result is the quotient of 25 and the number. Find the number

Answers

Answer:

  8

Step-by-step explanation:

Let x represent the number. Then the reciprocal is 1/x. The quotient of 25 and the number is 25/x. The problem statement tells us ...

  3 + 1/x = 25/x

Subtracting 1/x, we have ...

  3 = 24/x

  x = 24/3 = 8 . . . . . . . . multiply by x/3

The number is 8.

Picture above
Question above

Answers

Answer:

you will pay 274.75 at month 5 for both companies

company A: 42.95x+60.00

company B. 49.95x+25.00

Step-by-step explanation:

Answer:

after 5 months

Step-by-step explanation:

cost of company A =42.95 x +60  ( x for month)

cost of company B= 49.95 x  +25

42.95 x +60=49.95 x+25

42.95x-49.95x=25-60

7x=35

x=35/7= 5 months

In five month the companies will pay the same total amount for each internet

check :

company A: 42.95(5)+60=274.75

company B : 49.95(5)+25=274.75

the product of 8 and p

Answers

Answer:

8p

Step-by-step explanation:

Multiply 8 and p.

Every day, Kylie's orange juice stand uses 1/2 of a bag of oranges. How many days will
4 1/2 bags of oranges last?
Write your answer as a fraction or as a whole or mixed number.
days

Answers

Answer:

9 Days

Step-by-step explanation:

1/2x10=5

1/2x8=4

Logic tells you that 1/2x9=4 1/2

4 1/2 divided by 9= 1/2

So this answer is reasonable!!!

Please mark me brainlist!!! UwU

15 less than a number y

Answers

Answer: it would be: y - 15

as an expression

Answer:

y-15

Step-by-step explanation:

Here it means we are removing 15 from y

( 100 POINTS FOR EVERYTHING )
[ Integers ]
You know what to do, there are 2 images and make sure to answer every single one. I know 1 person who knows this topic very well.

Answers

Answer:

3. x+8

4. 6y

5. 1/2m

6. 50/h

7. 7-n

8. 15+x

9. 2t/12

10. p² -3

11. 2k-7

12. 3(w+5)

13. C

14. The error was it was written that you would subtract the pages read by pages in the article which is incorrect. You would subtract pages total (5) by pages read (p). So it is 5-p.

15. 4v

16. 16/p

17. 2.97/p

18. 20+j

19. 7-d

20. m/60

21. y/12

22. unit rate-8

23. unit rate-1.5

24. unit rate-2.4

25. unit rate-6.8

26. C

√x=x^2 is the equation correct

Answers

Answer:

no

Step-by-step explanation:

It is x^(1/2)

Answer:

This equation is incorrect.

Step-by-step explanation:

The sqrt(x) does not equal x squared.

You can rewrite a square root to be to the one-half power.  See if this looks correct:

x^(1/2) ?= x^2

No of course these aren't equal.  Hence, this equation is incorrect.

Cheers.

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