10. Find three consecutive even integers such that the product of the first and the second is 92 more
than twice the third integer.

Answers

Answer 1

Answer:

  10, 12, 14  or  -10, -8, -6

Step-by-step explanation:

We can let x represent the middle integer. Then the smaller one is x-2 and the larger one is x+2. The given relation is ...

  (x-2)(x) = 92 +2(x+2)

  x^2 -2x = 92 +2x +4 . . . eliminate parentheses

  x^2 -4x = 96 . . . . . . . . . subtract 2x

  x^2 -4x +4 = 100 . . . . . . add 4 to complete the square

  (x -2) = ±√100 = ±10 . . . take the square root

  x = 2 ± 10 = -8 or +12 . . . . add 2

The three integers might be ...

  -10, -8, -6  or  10, 12, 14


Related Questions

Question 8 Tasha noticed that bags are not selling quite well. She reduced the original price of $300 by 20%. After, three months the bags were still not selling.She reduced the price again by 40%. A, What was the total percent of decrease? Show your work.​

Answers

Answer:

84% decrease

Step-by-step explanation:

100 - 80 = 20%

80% = 4/5

300 * 4/5 = 240

100 - 40 = 60%

60% = 3/5

240 * 3/5 = 48

48/300 = 4/25 = 16%

100 - 16 = 84%

A company tests two new products to make sure they last for more than a year. Product 1 had 950 out of 1,000 test items last for more than a year. Product 2 had 150 out of 200 last for more than a year. If you had to choose one of these two products to use for more than a year, which one is more likely to last? Explain your reasoning
30 POINTS GIVE GOOD ANSWER

Answers

Answer:

product one; it has a higher success rate

Step-by-step explanation:

to find out which has a higher rate of success we can find out their percentage of success

we can divide their success amounts by test amounts

950 / 1000 = 95/100 = 95%

150/200 = 75/100 = 75%

product 1 has a higher success rate

The product is more likely to last is mathematically given as

Product 1

What product is more likely to last?

Question Parameter(s):

Product 1 had 950 out of 1,000 test

Product 2 had 150 out of 200 test

Generally, the equation for the  percentage success  is mathematically given as

Product 1  950 / 1000 = 95/100 x 100 = 95%

Product 2  150/200 = 75/100 x 100 = 75%

In conclusion, the product is more likely to last is

Product 1

Read more about Trade

https://brainly.com/question/15115779

67*25 helpppp pleaseeee

Answers

Answer:

1675

Step-by-step explanation:

do people not have calculators?

been trying for an hour, need help

Answers

By using tangents u can get the answer

Sin45degre = x divided by root 5

Answer:

[tex]\sqrt{\frac{5}{2} }[/tex]

Step-by-step explanation:

We know that this is a 45-45 triangle. Where there are two angles that are 45 degrees and the other angle is a right angle (90 degrees).

The sides are a, b (which equals a) and, c (which equals a*square root of 2).

In this triangle we are given c, and tasked at finding a. Since c= [tex]a*\sqrt{2}[/tex], then we know that, [tex]\sqrt{5}= a*\sqrt{2}[/tex].  Divide the equation by square root of 2 to find a. Which equals [tex]\sqrt{\frac{5}{2} }[/tex]

The ratio of the measures of the sides of a triangle is 5:7:8. Find the measures of each angle in the triangle.

Answers

Answer:

45°, 63°, 72°

Step-by-step explanation:

The sum of ratio units is 5+7+8=20, so each stands for 180°/20 = 9° of angle. Multiplying the ratio values by 9° gives the angle values:

  45° : 63° : 72°

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

Answers

Step-by-step explanation:

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

Please look for the question in the picture.

Answers

Answer:

Negative

Step-by-step explanation:

Lets assume that B is 0.8 and C is -1.8.

0.8/-1.8 is approx. -0.44 which is a negative

How do I subtract fractions? Please explain step by step to get marked as brainliest

Answers

Answer: Here I hope this helps!

Step-by-step explanation:

For example lets work with this fraction

 [tex]\frac{6}{5} -\frac{3}{7}[/tex]

First you need to find a common denominator. (The number at the bottom of the fraction always.)

Multiply until you get a number both denominators go into.

For this it would be 35.

[tex]\frac{6}{5} -\frac{3}{7}[/tex]

5x7=35  7x5=35

You then have to do the same to the top as you did the bottom.

So multiply your numerators (number at the top) the same number as you did to the denominator below it.

[tex]\frac{6}{5} -\frac{3}{7}[/tex]

So 6x7=42.    

And 3x5=15

You then subtract the numerators.

42-15=27

So now you have [tex]\frac{27}{35}[/tex]

[tex]\frac{6}{5} -\frac{3}{7}[/tex] =[tex]\frac{27}{35}[/tex]

Hope this helps! Have a great day!!

What else must you know to prove the triangles congruent by ASA? The image is of a parallelogram ABCD with diagonal AC. Angle DAC and ACB are marked as equal.

Answers

Can’t see the image please post it

Find the value of a
I’m decided go between 40 and 6.4

Answers

a = 10
Since the triangles are similar, you can set up a proportion using the corresponding sides and solve.
(16/8 = 20/a)
Hope this helps!

1985 x 99 I already know the answer: 196515

Answers

Answer:

196515

Step-by-step explanation:

It took Erika 8 games to score 30 points. At that rate, how many games will it take her to score 45 points?

Answers

Answer : 12 games

Step - by - step explanation :

In - order to find out how many games it will take Erika to get 45 points we need to find out how many points she normally gets in 1 game . . .

What is 30 divided by 8 ? 3.75 ( So Erika gets 3.75 points per game ! )

What is 45 divided by 3.75 ? 12 ( So Erika had to play 12 games in - order to get 45 points ! )

Jade recorded how many characters she used in each of her 9 most recent text messages. Here's a

histogram showing her data:

# of messages

2

0

0

20

40

60

80

100 120

# of characters

Which interval contains the median number of characters?

Answers

The median of a histogram is the middle element of the histogram.

The interval contains the median number of characters is 20 - 30

The number of characters is given as:

[tex]n = 9[/tex]

The median position is then calculated as:

[tex]Median = \frac{n + 1}{2}th[/tex]

So, we have:

[tex]Median = \frac{9 + 1}{2}th[/tex]

Add 9 and 1

[tex]Median = \frac{10}{2}th[/tex]

Divide 10 by 2

[tex]Median = 5th[/tex]

So, the median is the 5th position.

From the histogram (see attachment), the 5th element is in the interval 20 to 30.

Hence,  the interval contains the median number of characters is 20 - 30

Read more about median at:

https://brainly.com/question/9298915

Can you simplify these two?
5 points for each.

Answers

Answer:

See attached files.

The answers are there.

Tìm nghiệm tổng quát của các phương trình
y"+2y'-3y=0

Answers

Answer:

y € R i guess

Step-by-step explanation:

I hope it correct

Order these from least to greatest [25 points]

Answers

Answer:

[tex]\frac{\sqrt{6} }{4}[/tex], 1.538..., [tex]\frac{19}{7}[/tex], [tex]\sqrt{29}[/tex]

Step-by-step explanation:

Solve them each on the calculator and then put in order

[tex]\frac{\sqrt{6} }{4}[/tex] = 0.6123...

19/7 = 2.714

[tex]\sqrt{29}[/tex] = 5.385...

What is the Domain and Range of the relation shown in the table? x y 8 -4 6 -2 4 3 2 6

Answers

Answer:domain: {2,3,4,7} range: {0, 5, 9, 32}

Step-by-step explanation:

The domain is the set of all the values of x x . The range is the set of all the values of y y .

Simplify:

(8)214+(8)(−12)
plz help :(

Answers

the answer is
1712-96
Your welcome

Ok ok ok ok ok ok ok

Answers

Answer:

ok ok ok ok ok

Step-by-step explanation:

Answer:

ok?

Step-by-step explanation:

You go to a restaurant and get a bill for $95. You need to tip the waitress. The service was good so you decide on tipping the waitress 20%. What is the tip that the waitress will receive

Answers

Answer:

19 dollars.

Step-by-step explanation:

0.20 x $95.00=$19.00.

19 dollars because 20% of 95 is 19. You can find this by doing 20% (or 0.2) times 95 :)

Which of the following is a rational number? (5 points)
22, 23, 24, 25
оа
22

V24
d
25

Answers

Answer:

d. √25 is a rational number

Part 1 of 2
O Points
What are the lateral surface area and total surface area of a cylindrical oil storage tank that has a 44-ft diameter and 18-ft height?
The lateral surface area of the cylindrical oil storage tank is
(Round to one decimal place as needed.)

Answers

The Lateral Surface Area of the cylindrical oil storage tank is [tex]2486.9\text{ sq.ft}[/tex]

The Total Surface Area of the cylindrical oil storage tank is [tex]5526.4\text{ sq.ft}[/tex]

If the height and base radius of the cylindrical oil storage tank are represented by [tex]h[/tex] and [tex]r[/tex] respectively, then

The Lateral Surface Area, also known as the Curved Surface Area, of the cylindrical oil storage tank has the formula

[tex]L=2\pi rh[/tex]

The Total Surface Area of the cylindrical oil storage tank has the formula

[tex]T=2\pi rh+2\pi r^2\\T=2\pi r(h+r)[/tex]

The values for the height and base radius are [tex]18ft[/tex] and [tex]22ft[/tex] respectively.

Calculate the Lateral Surface Area

[tex]L=2\pi rh\\=2\times 3.14\times 22\times 18\\\approx 2486.9\text{ sq.ft}[/tex]

Calculate the Total Surface Area

[tex]T=2\pi r(h+r)\\=2\times 3.14\times22(18+22)\\=5526.4\text{ sq.ft}[/tex]

Learn more about the surface area of cylinders here https://brainly.com/question/1037971

a box contains 4 red balls and 6 purple balls. Ezra takes out a ball, puts it back and then takes out another ball. what is the probability that both balls were red

Answers

Answer:

16/100 = 4/25

Step-by-step explanation:

4/10 * 4/10 = 16/100

Find the difference. 2/5(d-10)-2/3(d+6)

Answers

[tex]\dfrac 25(d-10) - \dfrac 23(d+6)\\\\\\=2 \left(\dfrac{d-10}5 - \dfrac{d+6}3 \right)\\\\\\=2\left[\dfrac{3(d-10) - 5(d+6)}{15}\right]\\\\\\=2 \left( \dfrac{3d-30-5d-30}{15} \right)\\\\\\=2\left(\dfrac{-2d-60}{15} \right)\\\\\\=2(-2) \left(\dfrac{d+30}{15} \right)\\\\\\=-4 \left(\dfrac{d+30}{15} \right)\\\\\\=-4\left(\dfrac d{15} +2 \right)\\\\\\=-\dfrac{4d}{15}-8[/tex]

which expression are of -48xyz+24xy+40xyz
A4
B24
C3X
D8Y
E2XY
F6XY
GXYZ

Answers

Answer:

I'm GUESSING you want to know which are possible FACTORS of the equation. - 48xyz + 24xy + 40xyz

IF so,

THEN

A) 4         as 48, 24, and 40 divide evenly by 4

              4(-12xyz + 6xy + 10xyz)

D) 8Y      as 48, 24, and 40 divide evenly by 8 and each term has a Y

               8y(-6xz + 3x + 5xz)

E) 2XY     as 48, 24, and 40 divide evenly by 2 and each term has a XY

                2xy(-24z + 12 + 20z)

If a plane travels 900kms in 3 hours what is its rate of speed expressed as a unit rate

Answers

Answer:

300kms

Step-by-step explanation:

900÷300 is 300. so then i think it would be 300kms

Please help me solve this

Answers

Answer:

Solve what?

Step-by-step explanation:

You didn't put the question.

PLEASE HELP ME!!!!!


Laura earns an hourly rate of $14.50 for the first 40 hours that she works in a week. She earns one- and-a-half times her hourly rate for any hours over 10. If she earned $775.75 in one week, how many hours did she work?

a. 35.7
b. 53.5
c. 45
d. 49​

Answers

Answer:

I'm not 100% sure but I believe the answer is A

The total hours of work done by Laura is 39 hours.

What are Mathematical operators?

A collection of numbers and operations is an expression in mathematics. The following are the parts of a math expression that do a math operation:

Operands: Operands are the numbers that an operator uses. The terms that are given to the operands vary according to the kind of operation.

Given the hourly income Laura = $14.50

total hours she works in a week = 40

increase in rate after working after 10 hours is 1.5 times

the hourly rate after 10 hours = 14.50 x 1.5 = $21.75

amount earned in 10 hours = 10 x 14.5 = $145

total earning = $775.75

the amount left after reducing the amount of 10 hours = 775.75 - 145 = $630.75

$630.75 is earned in = 630.75/21.75 hours = 29 hours

total hours Laura worked = 10 + 29 = 39 hours.

Hence Laura worked 39 hours in a week.

Learn more about Mathematical operators;

https://brainly.com/question/8959976

#SPJ2

pls help me anymore pls​

Answers

Answer:

thanks for the points again

Step-by-step explanation:

,(TT(TT)(TT)(TT)(TT)(TT)(TT

Dalvin has a toy car collection of 200 toy cars. He keeps 194 of the toy cars on his wall. What percentage of Dalvin's toy car collection does he keep on his wall?

Answers

Answer: 97%

Step-by-step explanation:

what is 194 out of 200 ? 97%

AND IM SO SORRY ABOUT RED DEV!L

Other Questions
Read this excerpt from Poor Harold.A room in Washington Square South. By the light of a candle, a young man in tousled hair and dressing gown is writing furiously at a little table. A clock within strikes seven.A door at the back opens, and a young woman looks in, sleepily. She frowns. The young man looks up guiltily.SHE. What are you doing?HE. (innocently) Writing.SHE. So I see. (She comes in, and sits down. It may be remarked that a woman's morning appearance, in dishabille, is a severe test of both looks and character; she passes that test triumphantly. She looks at the young man, and asks) Poetry?HE. (hesitatingly) No. . . .SHE. (continues to look inquiry).HE. (finally) A letter. . . .SHE. (inflexibly) To whom?HE. (defiantly) To my wife!SHE. Oh! That's all right. I thought perhaps you were writing to your father.HE. (bitterly) My father! Why should I write to my father? Isn't it enough that I have broken his heart and brought disgrace upon him in his old age SHE. Disgrace? Nonsense! Anybody might be named as a co-respondent in a divorce case.HE. Not in Evanston, Illinois. Not when you are the local feature of a notorious Chicago scandal. Not when your letters to the lady are published in the newspapers. Oh, those letters!SHE. Were they such incriminating letters, Harold?HAROLD. Incriminating? How can you ask that, Isabel? They were perfectly innocent letters, such as any gentleman poet might write to any lady poetess. How was I to know that a rather plain-featured woman I sat next to at a Poetry Dinner in Chicago was conducting a dozen love-affairs? How was I to know that my expressions of literary regard would look like love-letters to her long-suffering husband? That's the irony of it: I'm perfectly blameless.100 POINTS! WILL MARK BRAINLIEST IM TIMED AND HAVE 45 MINS LEFTWhich excerpt uses direct characterization?The young man looks up guiltily_.HE. (hesitatingly) No. . . .HE. (defiantly) To my wife!That's the irony of it: I'm perfectly blameless. The graph of y = x^2 -2x -3a) Write down the coordinates of the turning point on the graph of y = x 2x - 3(1)(b) Use the graph to find the roots of the equation r? - 2x - 3 = 0 A nurse gave an 8 year old child a dose of 6 mL of medicine. What would be the adult equivalent of this dosage SOLVE FOR P (1) 4 x p x .5= 12(2) 0.03 x p x 18= 2.7 HELP PLS!! Adding and subtracting vectors in component form United States citizens are allowed to participate in the electoral system by exercisingtheir right to vote. What is a responsibility of exercising the right to vote?1. serving on a jury2. obtaining a college degree3. being informed on public issues4. paying attorney fees Which explanation correctly tells whether these ratios are equivalent and why?Yes because 3 x 2 = 6 and 14 x 2 = 28.No because there is no scale factor to get from 3 to 14.Yes because 3 x 5 = 14 and 6 x 5 = 28.No because when I use the cross products, 3 x 14 = 42 and 6 x 28 = 168. What is the answer to the square root of 2? in order to prevent inflation the federal government can manipulate _____. if I subtract 20 from my number, then square the result, I get the same answer as if I square my number, then subtract 20 from the resultWhat is my number and how do you work it out? Can someone please help me. Which function has a greater rate of change?A.Y=X4B.X Y-2-110-92 -7-3-66-3 need help asap . Heart, 5 stars, and Brainiest to first right answer!Which layer of the atmosphere reflects radio waves back to Earth?A. MesosphereB. StratosphereC. ThermosphereD. Troposphere Please help me with this This is propaganda poster. What cause is it supporting?A)SuffragettesB)ConscriptionC)War-time volunteersD)Fundraising and conservation About how many soldiers fought in the battle of the bunker hill in total? Plz help me with this How many crew members did Zheng He command?a.16,000c.40,000b.32,000d.28,000 [tex]{ \red {\sf{Define \: Transportational}}}[/tex]2+x=19Find x small chemical compounds that are usedfor neuronal communication