The sum of two consecutive even integers is 54. What are the two integers?

Answers

Answer 1

Answer:

26 and 2

Step-by-step explanation:

Given,

Sum of two even numbers = 54

let one number be x

another number be x +2

x + x +2 = 54

2x + 2 = 54

2x = 54 - 2

2x = 52

x = 52/2

x = 26

Therefore, the numbers are 26 and 26 + 2 = 28..


Related Questions

Which is a factor of: 2x^2 - 4x – 6?


I don’t understand how u get it in this form of an answer

Answers

Answer:

A

Step-by-step explanation:

2x^2-6x+2x-6=2x(x-3)+2(x-3)=(2x+2)(x-3).

Help pleaseeeeeeeeeeeeeeeee

Answers

Answer:

D(- 1) = 2

Step-by-step explanation:

To evaluate D(- 1), substitute x = - 1 into D(x) , that is

D(- 1) = (- 1)² - 2(- 1) - 1 = 1 + 2 - 1 = 2

Find the equation of the line using the point-slope formula. Write the final equation using the slope-intercept form.
perpendicular to
7y = x − 4
and passes through the point
(−2, 1)

Answers

Answer:

[tex]y = -7x -13[/tex]

Step-by-step explanation:

Given

Perpendicular to

[tex]7y = x -4[/tex]

Passes through

[tex](-2,1)[/tex]

Required

The equation

First, we calculate the slope of:

[tex]7y = x -4[/tex]

Divide through by 7

[tex]y = \frac{1}{7}x - \frac{4}{7}[/tex]

A linear function is:

[tex]y=mx + c[/tex]

Where;

[tex]m \to slope[/tex]

So:

[tex]m = \frac{1}{7}[/tex]

For the perpendicular line; the slope is:

[tex]m_2 = -\frac{1}{m}[/tex]

So, we have:

[tex]m_2 = -\frac{1}{1/7}[/tex]

[tex]m_2 = -7[/tex]

The equation is:

[tex]y = m(x - x_1) + y_1[/tex]

So, we have:

[tex]y = -7(x - -2) + 1[/tex]

[tex]y = -7(x +2) + 1[/tex]

Open bracket

[tex]y = -7x -14 + 1[/tex]

[tex]y = -7x -13[/tex]

Hi I need help with part c please and thank you so much if you can do so

Answers

For the hole in one pythagores theorem would work because a right angled triangle eill be formed and hole in one would be the hypotenuse which can be found using the theorem.

b²+p² = h²

Answered by Gauthmath must click thanks and mark brainliest

Please i need to find the era bounded by the following curves

Answers

Answer:

10 2/3 or 32/ 3

Step-by-step explanation:

5 - x^2 - (2 - 2x) =

= -x^2 + 2x + 3

Integral of (-x^2 + 2x + 3)dx from -1 to 3 =

= -x^3/3 + 2x^2/2 + 3x from -1 to 3

= -x^3/3 + x^2 + 3x from -1 to 3

= -27/3 + 9 + 9 - (1/3 + 1 - 3)

= -9 + 9 + 9 - 1/3 - 1 + 3

= 11 - 1/3

= 10 2/3 = 32/3

Answer:

32/3

Step-by-step explanation:

Check the pdf :)

Identify the decimals labeled with the letters A B and a C

Answers

Answer:

A=3.1

B=4.2

C=2.7

Step-by-step explanation:

WILL GIVE BRAINLIEST ASAP

Answers

Answer:

Step-by-step explanation:

A chocolate chip cookie manufacturing company recorded the number of chocolate chips in a sample of 60 cookies. The mean is 22.36 and the standard deviation is2.97 . Construct a ​80% confidence interval estimate of the standard deviation of the numbers of chocolate chips in all such cookies.

Answers

Answer:

2.665 < σ < 3.379

Step-by-step explanation:

Given :

s = 2.97

Sample size, n = 60

α = 80%

χ² Critical value (two - tailed), df = (60-1) = 59

χ² = 45.577 ; χ² = 73.279

The 80% confidence interval for the standard deviation :

s * √(n - 1) / χ² critical

2.97 * √(60 - 1) / 73.279 < σ < 2.97 * √(60 - 1) / 45.577

2.665 < σ < 3.379

Which of the fractions below are less than 2/5? Select two.

Answers

Answer:

1/8 is less than

Step-by-step explanation:

i dont see any fractions below gona have to edit your answer

Emily, Yani and Joyce have a total of 3209 stickers. Yani has 2 times
as many stickers as Joyce. Emily has 279 more stickers than Yani. How
many more stickers does Emily have than Joyce?

Answers

Answer:

279+x

Step-by-step explanation:

Emily + Yani + Joyce=3209 stickers

if Yani has 2 times as many stickers as Joyce:this statement states that Joyce has x stickers and Yani has 2x stickers because x multiplied by 2

"Emily has 279 more stickers than Yani":therefore the equation for Emily will be ;279+2x

how many stickers does Emily have than Joyce:

(279+2x)-(x)

279+2x-x

=279+x

Due the end of the week pls help.

Answers

This problem seems like a lot when you read through it, but when you start to analyze the problem, the whole first line is extra information that we don't actually need. The part we really need to pay attention to is:

"p = qr - f, write the equation with q solved in terms of p, r, and f."

So, all we are doing here is some manipulating of the equation to get what we want. So, if p = qr - f, we can isolate the variable (q), to get p + f = qr. Now all we have to do is divide both sides by r to isolate the variable (q) even further, and we get [tex]$\frac{p+f}{r}=q$[/tex] or [tex]$r=\frac{p+f}{r}$[tex]

75,000 live bacteria are present in a culture in a flask. When an antibiotic is
added to the culture, the number of live bacteria is reduced as shown by the
equation. Approximately how many hours have passed when there are 4500
bacteria left alive?
4500 = 75,000 e-0.1733t

Answers

Answer:

16.23 hours

Step-by-step explanation:

To obtain the number of hours that have passed ; we have to solve for t on the equation ;

4500 = 75,000 e^-0.1733t

Divide both sides by 75000

4500/75000 = e^-0.1733t

0.06 = e^-0.1733t

Take the In of both sides ;

In(0.06) = - 0.1733t

-2.813410 = - 0.1733t

Divide both sides by - 0.1733

t = 16.23 hours

If anyone can help me I will really appreciate!!

Answers

Answer:

The decimal form of the equation is y = 2.5x + 10

The equivalent fraction form is y = (5/2)x + 10 because 5/2 = 2.5

===========================================================

Explanation:

We can pick any two columns from the table to form the two points needed.

I'll pick the first two columns

(1, 12.5)

(2, 15)

Then apply the slope formula to those points

m = (y2-y1)/(x2-x1)

m = (15-12.5)/(2-1)

m = (2.5)/(1)

m = 2.5

Now use that slope with either point mentioned to find the y intercept b.

y = mx+b

12.5 = 2.5*1 + b

12.5 = 2.5 + b

12.5 - 2.5 = b

10 = b

b = 10

Or

y = mx+b

15 = 2.5*2+b

15 = 5+b

15-5 = b

10 = b

b = 10

We end up with the same b value.

We found that m = 2.5 is the slope and b = 10 is the y intercept

Therefore we go from y = mx+b to y = 2.5x + 10

This is the same as saying y = (5/2)x + 10 since 2.5 = 5/2

please show me step by step​

Answers

Answer:

Step-by-step explanation:

Picture

A park is 5 miles east of Roxana's home. A library is 4 miles north of the park. How far is Roxana's home from the library? ​

Answers

Answer: 9 miles I think but I dont know where her house is exactly.

Find a pair of polar coordinates for the point with rectangular coordinates (5, –5).

Answers

Answer:

(5*sqrt(2), 5pi/4)

Step-by-step explanation:

In Polar coordinates, tan(theta)=y/x and r=sqrt(x^2+y^2)

tan(theta)=-5/5=-1. Theta=5pi/4

r=sqrt(5^2+5^2)=5*sqrt(2)

Hence the Polar coordinate is (5*sqrt(2), 5pi/4)

The polar coordinate is [tex](5\sqrt{2},\frac{-\pi }{4} )[/tex].

What is polar coordinate system?

The polar coordinate system is a two-dimensional coordinate system in which each point on a plane is determined by a distance from a reference point and an angle from a reference direction.

How to convert rectangular coordinates to polar coordinates?

To convert rectangular coordinate (x, y) to polar coordinate(r, θ) by using some formula

tanθ = y/x and [tex]r =\sqrt{x^{2} +y^{2} }[/tex]

According to the given question

We have

A rectangular coordinate (5, -5).

⇒ x = 5 and y = -5

Therefore,

[tex]r=\sqrt{(5)^{2} +(-5)^{2} } =\sqrt{25+25} =\sqrt{50} =5\sqrt{2}[/tex]

and

tanθ = [tex]\frac{-5}{5} =-1[/tex]

⇒ θ = [tex]tan^{-1} (-1)[/tex] = [tex]-\frac{\pi }{4}[/tex]

Therefore, the polar coordinate is [tex](5\sqrt{2},\frac{-\pi }{4} )[/tex].

Learn more about polar coordinates here:

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What is the value of n to the nearest whole number?
O 10
o 13
18
o
21

Answers

Answer:

n is 13

Step-by-step explanation:

[tex] {n}^{2} = {12}^{2} + {6}^{2} - (2 \times 12 \times 6) \cos(90 \degree) \\ {n}^{2} = 180 \\ n = 13.4[/tex]

Answer:

n is 13

Step-by-step explanation:

Find the volume of a pyramid with a square base, where the side length of the base is 17.6 m and the height of the pyramid is 13.4 m. Round your answer to the nearest tenth of a cubic meter.

Answers

Answer:

~1383.5 meters cubed

Step-by-step explanation:

(17.6 x 17.6 x 13.4) ÷ 3 = ~1383.5

What is the value of z for the equation fraction 1 over 3z = −fraction 5 over 6 + fraction 1 over 6z?

5
2
−2
−5

Answers

9514 1404 393

Answer:

  -1/5

Step-by-step explanation:

  [tex]\dfrac{1}{3z}=-\dfrac{5}{6}+\dfrac{1}{6z}\qquad\text{given}\\\\2=-5z+1\qquad\text{multiply by $6z$}\\\\1=-5z\qquad\text{subtract 1}\\\\\boxed{-\dfrac{1}{5}=z}\qquad\text{divide by $-5$}[/tex]

4. The rectangle shown below has been broken into four smaller rectangles. The area of three of the smaller
rectangles are shown in the diagram. Find the area of the fourth rectangle and justify your answer. [Think about
shared dimensions.]

Answers

Answer:

Step-by-step explanation:

Need the diagram for reference in order to answer...........

Which of the following numbers has the greatest value?
89 3/4
66 1/2
55 2/3
74 1/4
106 5/6

Answers

Answer:

106 5/6

Step-by-step explanation:

55 < 66 < 74 < 89 < 106

the fractions are irrelevant because the whole numbers are all different

The greatest of the numbers will be 106 5/6 since 106 is greater than the rest of the integers present in the mixed fractions.

Finding greatest value in a sequence

The greatest value is the highest value in a given set of number.

Given the following numbers

89 3/4

66 1/2

55 2/3

74 1/4

106 5/6

The greatest of the numbers will be 106 5/6 since 106 is greater than the rest of the integers present in the mixed fractions.

Learn more on mixed fractions here: https://brainly.com/question/414559

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Malek sets out for a hike at 8.00 am and returns at 17:15.
How long was Malek hiking for?
hours and
minutes

Answers

Answer:

9 hours and 15 mins

Step-by-step explanation:

17 - 8 (time calculation)

(100 points) Select the correct answer.

Danny's 7 friends contributed an equal amount of money to buy him a birthday present. The present cost $84. How much money did each friend contribute?

A. 12

B. 36

C. 48

D. 84

Answers

7 friend -> 84 dollars
1 friend -> ?

84/7 = answer

Answer = 12

A) 12
Cost of present=84Total friends=7

Contribution per head

84/712

Option A

Rosa brought d drawings to an art show. After selling 15 of them, she had 38
left. Identify the equation that represents this situation and the correct
solution

Answers

Answer:

38= d - 15

Step-by-step explanation:

8. Write (2x + 1)(x - 3)(x - 2) in standard form.
2x3 - 9x2 + 6
2x3 - 9x2 + 7x + 6
O
2x3 + 7x - 9x2 + 6
O
7x + 2x3 - 9x2 + 6

Answers

Answer:

2x^3 - 9x^2 + 7x + 6

Step-by-step explanation:

(2x + 1)(x - 3)(x - 2)=2x^3 - 9x^2 + 7x + 6

Below is the graph of a polynomial function with real coefficients

(a) The function f is increasing over which intervals? Choose all that apply.
D(-0, -8)
O (-5,-2) O (-8, -2) O (-2,
2) (2,5)
O (5, 0 )
?
(b) The functionfhas local maxima at which x-values? If there is more than one value,
separate them with commas.
(c) What is the sign of the leading coefficient of f?
Select One
(d) Which of the following is a possibility for the degree of f? Choose all that apply.
4
5
6

Please help if you can thank you

Answers

9514 1404 393

Answer:

  (a) (-∞, -8), (-5, -2), (2, 5)

  (b) -8, -2, 5

  (c) negative

  (d) 6

Step-by-step explanation:

(a) The function is increasing on intervals where the graph slopes upward left-to-right. Those are (-∞, -8), (-5, -2), and (2, 5).

__

(b) The local maxima are at the right end of each interval on which the function is increasing: -8, -2, 5.

__

(c) The function opens downward (∩), so has a negative leading coefficient.

__

(d) There are three local maxima and two local minima (left end of an increasing interval), so a total o 5 turning points. The degree of the polynomial is at least one more than this: 6.

which of the following is the correct graph of the solution to the inequality -18 > 5x + 2 > -48?

Answers

Answer:

good luck

.............

Answer: the third one. filled circle for 4 ,5,6,7,8,9, open circle 10

Step-by-step explanation:

Answer the question given above

Answers

Answer:

See explanation

Step-by-step explanation:

This is how you are suppoussed to solve it:

Measure each and every side of the rectangle with a ruler and add it. This would be your perimeter

This cannot be solved unless the page is infront of us.

Point g is located at (3,6) on the coordinate plane. Point G is reflected over the x-axis to create point G'. Point G' is then reflected over the y-axis to create point G''. What ordered pair describes the location of G''.

Answers

-Answer:

(-3. -6)

Step-by-step explanation:

G (3,6)

x axis reflect

G' (3, -6)

y axis reflect

G'' (-3. -6)

The scatterplot shows the number of bedrooms in a house and the selling price for that house.



Calculate the residual for the house with 6 bedrooms, to the nearest thousand.

The residual for the house with 6 bedrooms is ___
-30k
-26k
26k
30k

Answers

Answer:

-26k, -26,000 ; (B)

ED2021

The residual for the house with 6 bedrooms is -26k.

What is Scatterplots?

Scatterplots are the plotting of set of points on a vertical axis and an horizontal axis. The shows the correlation extent between the numbers of the observed quantities.

Given is a scatterplot showing the selling price of houses with the number of bedrooms.

Equation of the line of best fit is given as,

y = 6.3x + 4.8

Residual = Actual value - Predicted value

From the scatterplot,

Actual selling price of house with 6 bedrooms = 40 × 10,000 = 400,000

Predicted selling price for 6 bedrooms = (6.3 × 6) + 4.8

                                                                 = 42.6 × 10,000

                                                                 = 426,000

Residual = 400,000 - 426,000

              = -26,000

Hence the residual is -26k.

Learn more about Residuals and Scatterplots here :

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