The product of two consecutive odd numbers equals 55 plus ten times the even number which is between them. Find the even number.​

Answers

Answer 1

Answer:

14

Step-by-step explanation:

The product of two consecutive odd numbers equals 55 plus ten times the even number which is between them. Find the even number.​

Let the two odd consecutive integer be x and x+2

Let the even number between then be x+1

If the product of two consecutive odd numbers equals 55 plus ten times the even number, then;

(x)(x+2) = 55 + 10(x+1)

Expand

x² + 2x = 55 + 10x + 10

x² -8x -65 = 0

x² - 13x+5x - 65 = 0

x(x-13)+5(x- 13) = 0

(x-13) (x+5) = 0

x = 13 and -5

Since the even number is x + 1

Even number = 13 + 1 = 14


Related Questions

Factor [tex]2x^2+13x-7[/tex]

Answers

(2x - 1) (x + 7) is the answer to your question!

the difference between area and surface area.

Answers

Answer:

Area- Measurment of the size in the flat surface of a plane (Two Dimensional)

Surface Area- Measurment of the exposed surface of a soilid shape (Three Dimensional)

(Hope that works)

How to find the derivative of the below question?

Answers

Given:

[tex]y=\dfrac{x}{\sqrt{x-1}}[/tex]

To find:

The derivative of the given problem.

Solution:

Chain rule : [tex]\dfrac{d}{dx}f(g(x))=f'(g(x))\cdot g'(x)[/tex]

Quotient rule : [tex]\dfrac{d}{dx}\left(\dfrac{f(x)}{g(x)}\right)=\dfrac{g(x)f'(x)-f(x)g'(x)}{[g(x)]^2}[/tex]

We have,

[tex]y=\dfrac{x}{\sqrt{x-1}}[/tex]

Differentiating with respect to x using chain rule and quotient rule, we get

[tex]\dfrac{dy}{dx}=\dfrac{\sqrt{x-1}\dfrac{d}{dx}(x)-x\dfrac{d}{dx}(\sqrt{x-1})}{(\sqrt{x-1})^2}[/tex]

[tex]\dfrac{dy}{dx}=\dfrac{\sqrt{x-1}(1)-x\dfrac{1}{2\sqrt{x-1}}\dfrac{d}{dx}(x-1)}{(x-1)}[/tex]

[tex]\dfrac{dy}{dx}=\dfrac{\sqrt{x-1}-\dfrac{x}{2\sqrt{x-1}}(1-0)}{x-1}[/tex]

[tex]\dfrac{dy}{dx}=\dfrac{\sqrt{x-1}-\dfrac{x}{2\sqrt{x-1}}}{x-1}[/tex]

[tex]\dfrac{dy}{dx}=\dfrac{\dfrac{2x-2-x}{2(x-1)^{\frac{1}{2}}}}{(x-1)}[/tex]

[tex]\dfrac{dy}{dx}=\dfrac{x-2}{2(x-1)^{\frac{3}{2}}}[/tex]

Therefore, the required derivative is [tex]\dfrac{dy}{dx}=\dfrac{x-2}{2(x-1)^{\frac{3}{2}}}[/tex].


A teacher wants to investigate whether listening to music while taking a math test increases scores. He instructs half
of his 36 students to listen to music while taking a test and the other half to not listen to music during the test. To
determine who listens and who does not, the teacher identifies the two students who scored highest on the last test
and randomly instructs one to listen to music and one to not. The teacher does the same for the next two highest-
scoring students and continues in this manner until each student has their instructions. Which of the following best
describes this plan?
O This is a cluster sample.
O This is an observational study.
O This is a stratified random sample.
O This is an experiment with blocking.
O This is a completely randomized experiment.

Answers

D. This is an experiment with blocking

For your question: "A teacher wants to investigate whether listening to music while taking a math test increases scores. He instructs half

of his 36 students to listen to music while taking a test and the other half to not listen to music during the test. To

determine who listens and who does not, the teacher identifies the two students who scored highest on the last test

and randomly instructs one to listen to music and one to not. The teacher does the same for the next two highest-

scoring students and continues in this manner until each student has their instructions. Which of the following best

describes this plan?"

The answer is D

PLS HELP 6TH GRADE MATH DUE IN 1 MIN

Answers

Answer:

second one is also done.

cost
I-cost
I-cost
I cost
= 4 cost cact
verify

Answers

Answer:

yes

Step-by-step explanation:

Find the slope of the line that passes through (2, 12) and (9, 3).
Simplify your answer and write
as a proper fraction, improper fraction, or integer.

Answers

Answer:

The slope of line is [tex]-\frac{9}{7}[/tex].

Step-by-step explanation:

Given points are;

(2, 12) and (9, 3)

Here,

x1 = 2 and y1 = 12

x2 = 9 and y2 = 3

Slope of a line is given by the following formula;

[tex]m =\frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{3-12}{9-2}\\\\m=\frac{-9}{7}[/tex]

Therefore,

The slope of line is [tex]-\frac{9}{7}[/tex].

What are the coordinates of point A?

Answers

Answer:

-4,-3

Step-by-step explanation:

Answer: I can't see the 4th answer but i and going to guess it's (-4,-3).

I think you answer is D. (-4,-3).

I hope it's right

For her birthday, Bonnie's parents gave her $5,425.00 which they put into a savings account that earns 15% interest compounded annually. When Bonnie started college, she withdrew the entire balance of $16,642.00 and used it to pay for tuition. How long was the money in the account?

Answers

Answer:

15% of $5425.00 = 5425 x- 15% = 813.75

$16,642.00 ÷ 813.75 = 20.3 = 20

So approx. 20 years

Step-by-step explanation:

5,425 x .85 = 4,611.25
5,425 + 4,611.25 = 10,036.25 (one year)
10,036.25 + 4,611.25 = 14,647.50 (2 years)
Probably like 2 years and 4 months lol

8(3x-2)=2(8)+16 explanation how the order of operations is used. How the equation is kept balanced.

Answers

Answer:

See explanation

Step-by-step explanation:

Given;

8(3x-2)=2(8)+16

We clear the brackets

24x - 16 = 16 + 16

24x - 16 = 32

We add 16 to both sides

24x - 16 + 16= 32 + 16

24x = 48

We divide both sides by 24

24x/24 = 48/24

x =2

Angelina has a piece of paper that is 26 square inches in area. It is 5 ½ inches long. What is the length of the piece of paper in square inches?

Answers

Answer:

I think that 6⅖ is the answer in my calculations

Melody is solving the equation x +12=31. Find her mistake and correct it.

Answers

the answer is x = 19

Gabrielle charged $5,700 at the local music store in order to purchase some equipment for her studio. The store offered no interest for 8 months, or 18 percent annually if the balance was not paid in full prior to the end of the interest-free period. How much interest will Sabrina be charged once she lets the account go past 8 months without making any payments?

Answers

Answer:

684

Step-by-step explanation

2 , 19, 4, 1,8

median ???

Answers

4. line them up least to greatest and the one in the middle is the median, which is 4.

Answer:

Median is 4

Step-by-step explanation:

can somebody help me with these two please and thank you. :)

Answers

First one is B and D the next one is A and D
What they said ^ was right

Can you help me graph y = -7x - 1 ?

Answers

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Which equation has an equivalent slope to the graph shown? ILL MARK BRAINLEST AND 100 POINTS

y = 3x

y= -2/3x

y= -2/3x + 5

y= 2x +5

Answers

Answer:

3x

Step-by-step explanation:

Which equation has an equivalent slope to the graph shown?


In triangle XYZ, let angle Y be a right angle, mZ = 54°, and YZ = 361. Find the area of the
triangle. Round to the nearest whole number.

Answers

Answer:

89,709

Step-by-step explanation:

∡Z= 54°

tan 54 = XY / 361

XY = 361 · tan 54°

XY = 497

A = 1/2 (361) (497)

FIND PERIMETER HELP PLS

Answers

Hey hmu if u Want help

Berkley surveyed students in his fourth-period class to determine how they travel to school each morning. What percent of the students Berkley surveyed ride the bus to school?

Answers

Answer:

hahahahahahahah Sana all nakatulon ako diay kaso ako marung

Answer:14

Step-by-step explanation:

14%

Find the measure of angle x.
A.33
B.40
C.45
D.57

Answers

Answer:

A) 33 is answer is sure and fix

Step-by-step explanation:

answer of this qn is 33 option A

5. Find four consecutive even integers such that 3 times the sum of the first and second is
4 less than 5 times the fourth.

Answers

Your answer to your question is 48

NEED HELP!!!! PLSSS ILLL GIVE YOU A COOKIE!!! (plz only answer if you know the answer <3 )

Answers

Answer:

The function is constant from x = -2 to x = 1.

Step-by-step explanation:

To find the range of where the function is constant, just look at the graph where the line is horizontal. It is horizontal from the x-values of x=-2 to x=1, and this is the range of when the function is constant.

Hope this helps! Feel free to give me Brainliest if you feel this helped. Have a good day and good luck on your assignment. :)

You buy two packages of almonds. One package is 10.47 kg and the other is 8.23 kg. What is the difference?

Answers

Answer:

2.04 kg

Step-by-step explanation:

Cuantas clases de triángulos hay?

Answers

Answer:

6

Step-by-step explanation:

Equilateral triangle

Isosceles triangle

Scalene triangle

Right triangle

Acute triangle

Oblique/obtuse triangle

Traducción

Triángulo equilátero

Triángulo isósceles

Triángulo scalene

Triángulo derecho

Triángulo agudo

Triángulo oblicuo/obtuso

Espero que esto haya ayudado!

¡Que tengas un día muy supercalifragilistaexialidocious!

Can I plz get some help

Answers

Answer:

Step-by-step explanation:

U have to show the sentence before the question so the reader will understand

Ben is playing a card game. The numbers of the cards in his hand are 2, 3, 4, 4, 5, 7, 9, and 10. Ben may only play one card at a time.

What is the probability the next card Ben plays will be an odd number?


343 fourths

121 half

383 eighths

14

Answers

Answer: Half

Step-by-step explanation:

*UNIT RATE AND PROPORTIONS*
the price for 4 pound of ribs is $28.00
*QUESTIONS* *what is the unit rate?* *how much would 6pounds cost?*
*how many pounds can be bought for $70* NEED HELP ASAP‼️‼️

Answers

Answer:

Unit rate is $7 per pound.

6 pounds will cost $42

You can buy 10 pounds for $70

Step-by-step explanation:

28/4 = $7 --> Unit rate is $7 per pound.

7 × 6 = $42 --> 6 pounds will cost $42

70/7= 10 --> You can buy 10 pounds for $70

Alejandra’s fish tank hold 10 Liters of water. Every day her cat drinks 0.2 Liters of water from the tank when she away from home. The fish will get sick if the water drops below 4 Liters of water. Alejandra wants to know how many days she can go before having to refill the missing water. Write and solve an inequality that represents this situation. Explain clearly what the solution to the inequality means in the context of this situation.

Answers

Answer:

4b² is the volume of the fish tank.

Step-by-step explanation:

I think hope it helps

f(x)= 5x+6. Find f(6)
Functions

Answers

Answer:

f(6)=5×6+6=30+6=36

put the value 6 in x.

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