find three consecutive integers for which 3 times the sum of the first and the third is -342

Answers

Answer 1

Answer:

The integers are -58, -57, -56.

Step-by-step explanation:

The difference between two consecutive integers is 1.

If you let the smallest of the three consecutive integers equal x, then the next greater one is x + 1, and the greatest of the three is x + 2.

Integers: x, x + 1, x + 2

The sum of the first and third is: x + x + 2

3 times the sum of the first and third is: 3(x + x + 2)

That product equals -342.

3(x + x + 2) = -342

3(2x + 2) = -342

Divide both sides by 3.

2x + 2 = -114

Subtract 2 from both sides.

2x = -116

Divide both sides by 2.

x = -58

x + 1 = -57

x + 2 = -56

The integers are -58, -57, -56.


Related Questions

ANSWER THIS QUICK!! IT¨S WORTH 46 POINTS

Answers

Answer:

The answer is option A

Step-by-step explanation:

[tex] \frac{4\pi \sqrt{5} - 2\pi \sqrt{5} }{3 \sqrt{5} } [/tex]

Simplify the numerator first

Since they have the same square root that's root 5 we can subtract them directly

That's

[tex]4\pi \sqrt{5} - 2\pi \sqrt{5} = (4\pi - 2\pi) \sqrt{5} \\ = 2\pi \sqrt{5} [/tex]

So we have

[tex] \frac{2\pi \sqrt{5} }{ 3\sqrt{5} } [/tex]

Reduce the expression with √5

We have the final answer as

[tex] \frac{2\pi}{3} [/tex]

Hope this helps you

Which of the following options have the same value as 65% of 20?

Answers

B

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

Answer:

It is A and D

Step-by-step explanation:

65% of 20 is also

.65 * 20 or

65/100 * 20

I did Khan Academy too :)

A carpenter and his assistant can do a piece of work in 3 days. If the carpenter himself could do thework alone in 5 days, how long would the assistant take to do the work alone?

Answers

Answer:

  7 1/2 days

Step-by-step explanation:

The carpenter can do 1/5 of the work in 1 day. The assistant, who takes 'a' days to do the work, can do 1/a of the work in 1 day. Together, they can do 1/3 of the work in 1 day:

  1/5 + 1/a = 1/3

  1/a = 1/3 -1/5 = 2/15

  a = 1/(2/15) = 15/2 = 7.5

The assistant takes 7.5 days to do the work alone.

If a=0 and b≠0, where will the graph of the complex number a+bi always lie?

Answers

Answer:

On the horizontal axis

Step-by-step explanation:

The complex number is represented by the complex plane or z-plane which is the representation geometrically of the real (number) axis and the imaginary (number) axis

When plotting complex numbers, the real part of the complex number is always plotted on the horizontal axis while the imaginary part is plotted on the vertical axis

The complex plane concept facilitates the description of complex numbers geometrically.

Car Mileage for a
Hybrid Car
What is the value of y when the value of x is 1?
240 kg
180
Number of Miles
120
60
2
2.
3
Number of Gallons

Answers

Answer:

60

Step-by-step explanation:

Answer: 60

Step-by-step explanation

I took the test (:

Answer the questions to determine a conditional probability. How many customers are on payment plan B? customers How many of the customers on plan B text? customers What is the probability that a randomly selected customer who is on plan B uses the phone most often to text? Give the answer in fraction form.

Answers

Answer:

Answer the questions to determine a conditional probability.

How many customers are on payment plan B?

23 customers

How many of the customers on plan B text?

13 customers

What is the probability that a randomly selected customer who is on plan B uses the phone most often to text? Give the answer in fraction form.

13/23

Step-by-step explanation:

edg 2020

The probability that a randomly selected customer who is on plan B uses the phone most often to text is 13/23

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

The customers are on payment plan B = 23 customers

The customers on plan B text = 13 customers

The probability that a randomly selected customer who is on plan B uses the phone most often to text

= 13/23

Learn more about probability here;

https://brainly.com/question/11234923

check for extraneous solutions: |2x + 5| = 3x + 4

Answers

it would be 1.............

A 9-pack of toaster pastries costs $3.60. What is the unit price?
per pastry

Answers

Answer:.40 cents

Step-by-step explanation: divide the total cost by the amount of items you have.

solve for d, s = 2d / t

Answers

s = 2d / t

Multiply both sides by t

st = 2d

Divide both sides by 2

st / 2 = d

HELLPPPPPPPPP WITH THE TOP THREE PLS

Answers

Answer:

9) Domain: 0≤x≤6

Range: -3≤y≤3

10) Domain: -∞≤x≤∞

Range: -∞≤y≤∞

11) Domain: -∞≤x≤∞

Range: y≥-2

13) Domain: -∞≤x≤∞

Range: -2≤y≤4

Step-by-step explanation:

9) Domain: 0≤x≤6

Range: -3≤y≤3

10) Domain: -∞<x<∞

Range: -∞<y<∞

11) Domain: -∞<x<∞

Range: y≥-2

13) I think you need to look at this one again.  It looks like:

Domain: -∞<x<∞

Range: -2≤y≤4

Simplify: | 5\6 - 7\2 | - | 5\3 |

Answers

Answer:53 over 30

Step-by-step explanation:

a tree was 17 feet tall when it was planted . it grew 8 times that height in 15 years how much taller is the tree then when it was planted

Answers

Answer A tree was 17 feet tall when it was planted it grew eight times that height in 15 years how much taller is the tree than when it was planted

Step-by-step explanation:

Answer you will multiply 17 * 8 which would give you 136. Next you was subtract 17 from 136 giving you a total of 119

Step-by-step explanation:

simplify the fraction 56/100

Answers

Think it’s 57/100 or rounded its







Item 4
Solve the equation.

23h−13h+11=8
h=

Answers

Answer is 20 by plugging the 4 in the equation it equals 20

Celine was working on the following problem and can't seem to get the problem right. Choose the step where she made a mistake.
(-2×2-6) ÷2

Answers

Answer:

- 5

Step-by-step explanation:

Given

(- 2 × 2 - 6) ÷ 2

Evaluate the parenthesis performing the multiplication before subtracting.

= (- 4 - 6) ÷ 2

= - 10 ÷ 2

= - 5

A dripping tap loses 10mL of water every 45 seconds. How much water
will be lost in 6 hours?

Answers

Answer:

4800 ml

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask :)

Answer:

4.8 L

Step-by-step explanation:

6 hours = 6*60*60 seconds = 21600 seconds

10 mL - 45 seconds

x mL - 21600 seconds

x = (21600*10)/45=4800 mL

4800 mL = 4.8 L

Solve x^2=64. What property did you use?

Answers

Answer:

x = ± 8 using the square root property

Square root both sides to get x = ± 8.

look at image. reflection across the x-axis​

Answers

Answer:

S 1,-1     R 1,-3   :)

Step-by-step explanation:

solve 9x - y = 45 for y​

Answers

Answer:

y=9x-45

Step-by-step explanation:

9x-y=45

-y=45-9x

y=9x-45

36. GEOMETRY Write an algebraic expression to
represent the area of the triangle. Then evaluate it to
find the area when h = 12 inches.

Answers

Answer:

108 in²

Step-by-step explanation:

Area of a triangle is given as ½*base*height

The base of the given triangle = h + 6

height = h

Algebraic expression for its area = [tex] \frac{1}{2}*(h + 6)*h = \frac{1}{2}(h^2 + 6h) = \frac{h^2 + 6h}{2} [/tex]

Evaluate the area if h is given as 12 inches.

Plug in the value of h into the algebraic expression:

[tex] \frac{h^2 + 6h}{2} = \frac{12^2 + 6(12)}{2} [/tex]

[tex] = \frac{144 + 72}{2} [/tex]

[tex] = \frac{216}{2} = 108 in^2 [/tex]

m + 4 = -12

and

v - 15 = -27

Answers

Answer:The AR-15 came first, in 1947; the M16 a decade later. They have the same magazine capacity: 30 rounds. The former is heavier, with a shorter range and slower rate of fire, but these are subtle differences. Overall, the weapons are pretty simila

Step-by-step explanation:M4 carbine

Carbine, Caliber 5.56 mm, M4

Manufacturer See Manufacturers below

Unit cost $700 (avg. cost)m= -16

v= -12

Step-by-step explanation:

m + 4 = -12

m= -4-12

m=-16

v - 15 = -27

v=-27+15

v= -12

Produced 1991–present

Variants M4A1 Mark 18 Mod 0 CQBR

Answer:

m= -16

v= -12

Step-by-step explanation:

m + 4 = -12

m= -4-12

m=-16

v - 15 = -27

v=-27+15

v= -12

plz answer i will mark as brainliest follow u and give you thx..but in return i need full proper answer

two dice are thrown simultaneously. list all the possible outcomes and the probability of getting same number on both dice (doublets); the sum of prime number

Answers

Answer:

Explanation:

There are 36 possible outcome:
(1,1) (1,2) (1,3)...(1,6)
(2,1)....(2,6)
(3,1).....(3,6)
(4,1)....(4,6)
(5,1)....(5,6)
(6,1).....(6,6)

The possibility of getting a doublet are 6 possible outcome:

(1,1) (2,2) (3,3) (4,4) (5,5) (6,6)

P = 6/36 = 1/6

The possibility for getting a sum of prime number are 8 outcome:
(1,2) (2,1) (2,3) (3,2) (5,2) (2,5) (5,6) (6,5)

P = 8/36 = 2/9


Ms. Anderson made a New year's resolution to go on a diet and exercise more. On January 1st , she weighed 160 pounds. Two months later, she had dropped to 136 pounds. What was the percent of decrease in her weight?

Answers

Answer: 15%

Step-by-step explanation:

From the question, we are informed that Mrs Anderson weighed 160 pounds earlier and two months later, she had dropped to 136 pounds. To. Calculate the percent of decrease in her weight goes thus:

We've to find her decrease in weight first. This will be:

= 160 pounds - 136 pounds

= 24 pounds

Percentage decrease will now be:

= Change in weight/Original weight × 100

= 24/160 × 100

= 0.15 × 100

= 15%

The percent of decrease in her weight is 15%.

Solve the equation 1/2(2x+2)-1/4(3x-1)=15

Answers

Answer:

it is algebraic expression

please help meeeee!!!!!!! complete the equation below. 5x+5x=10x____

Answers

5x5 - 10x = 0


5x5 - 10x = 5x • (x4 - 2)

Find sin 0.
15
8
0
please help! very important

Answers

Answer:

D

Step-by-step explanation:

In the phrase SOH - CAH - TOA, the SOH stands for "Sine = opposite / hypotenuse", hence, the answer would be 15 / 8.

Answer: for me the answer was 15/17

Step-by-step explanation:

x^2-15x+26 factoring need help

Answers

Answer:

x^2 - 2x - 13x + 26 = (x-2)(x-13)

Step-by-step explanation:

x^2 - 15x + 26 = x^2 - 2x - 13x + 26 = (x^2 - 2x) - (13x - 26)

= x(x-2) - 13(x-2) = (x-2)(x-13)

which expression has the same value as 3y+2x

a. 3y+(-2x)
b.-2+3y
c.2x-(-3y)
d.-3y-2x​

Answers

Answer:

Hey there!!

Your required answer is option C.

The reason is;

In option A when you simplify the signs, you will get it as 3y-2x.In option B it's totally not matching. In option C, when you simplify the signs, you will get as 2x + 3y {as( - )× (- )= (+)}.Option D is not matching.

Therefore, the possible answer is option D.

Hope it helps...

Brainliest for correct answer

Answers

Answer:

Hey there!

The error in this congruence statement is that we don't know if these are actually congruent.

Saying that the triangles "look the same" simply isn't enough. We do know that all three angles are the same, but the AAA (Angle Angle Angle) postulate only works for similar triangles.

Additionally, even if they were congruent, it would still be triangle ABC ≅ triangle FED, not triangle DEF.

Let me know if this helps :)

Answer:

The wrote the order wrong so they are not congruent until you fix their mistake

Step-by-step explanation:

ABC~ FDE

The equation d=m/v can be used to calculate the den

Answers

yes you are right, density formula is :

density = mass ÷ vol

Other Questions
b. What is the mass of a piece of wood that has a volume of25.3cm and a density of 0.75g/cm? Owen is fishing from a dock he starts with the bait 2 feet below the surface he reels out the boat 19 feet then reels it back in 7 feet what is the final position of the bait relative to the surface of the water Jurisdiction M imposes an individual income tax based on the following schedule.RateIncome bracket5% $-0- to $50,000+ 8%$50,001 to $200,000+ 12%$200,001 and aboveWhich of the following statements is true?A) The schedule provides no information as to whether Jurisdiction M's tax is horizontally equitable.B) Jurisdiction M's tax is vertically equitable.C) Jurisdiction M's tax is vertically equitable only for individuals with $50,000 or less taxable income.D) Both A. and B. are true. The chemical reactions that take place in a cell, as compared to the chemistry in nonliving matter, primarily occur:________a. between simple moleculesb. in a hydrophobic environmentc. in extreme temperaturesd. between carbon-based molecules In a desert ecosystem, coyotes and rattlesnakes both eat the same type of mouse as a primary part of their diets. Recently, coyotes have been hunted and killed by people, decreasing the overall coyote population. 1. IV+61-6=6Solving absolute value? Also I beg you to forgive it me If I overlooked all standing and degree As regards the order in which people come Here in this tally, as I set them down: My wits are none too bright, as you can see. The Canterbury Tales, In this passage, how does the narrator reveal that he is unreliable? The narrator implies that he is suffering from madness. The narrator admits that he likes to exaggerate and brag. The narrator tells his audience that he is unintelligent and careless. The narrator confesses that he never met the people in the story. The standard deviation of Erics data is 0.8C. Martha conducted the same experiment. Her average temperature was 35.1 with a standard deviation of 1.2C. Her data are more precise than Eric's John Maynard Keynes and Adam Smith would disagree most about theanswer to which question?A. Is it right for large countries to control weaker colonies?B. Should workers unite to create a command economy?C. Is unemployment a problem in free market systems?O D. Should governments actively regulate their economies? Can someone please help me w these chemistry conversion? 1. The density of Mercury is 13.6 g/mL. What is the volume of mercury, in quarts has a mass of 95.0 ounces? 2. Tetrachloroethylene, also called PERC, has a density of 1.62 g/mL. It was formerly used as a dry cleaning solvent. What is the mass in pounds of PERC contained in a 55.0 gallon drum? 3. Osmium is the most dense element having a density of 22.5 g/cm^3 Calculate the density of osmium in kg/m^3. 4. The density of Iron is 7.50 g/cm^3. What is the mass, in pounds, of a cube of iron that measures 5.00 cm on a side? 5. Lead has a density of 10.5 g/cm^3. What is the diameter of a lead ball that has a mass of 500.0 g? Report answer in cm. A government will use a(n) _____ to attempt to control the export of national treasures or antiques. find the total pay for the week $12.50 per hour time and a half for sunday hours worked day must be rounded to the nearest quarter hour. How is a Standing Committee different from theGeneral Assembly?AA Standing Committee is responsible fordrafting legislation while the GeneralAssembly is responsible for amending it.B.A Standing Committee is responsible forstudying and discussing legislation while theGeneral Assembly is responsible fororiginating itA Standing Committee is responsible forvoting on legislation while the GeneralAssembly is responsible for overriding vetoes.DA Standing Committee is responsible foramending legislation while the GeneralAssembly is responsible for approving it Questions in the picture. Pls help!!!!! 4. How does fear drive action? What did Mary Maloney fear most and how did it affect her actions? Today, you worked from 7am to 4pm. The state you live in requires that you take a 30-minute break during any shift longer than 6 hours. This break does not count towards your hours. How many hours did you work today? Remember, 30 minutes is equal to .5 hours. This was the legislative body established in colonial America, it was based on a democratic voting system. A.) Continental Congress B.) Mayflower compact C.) House of Burgesse D.) Jamestown Charter The ratio of yellow to blue skittles in a bag 5:9 if there are 12 more blue skittles in the bag than yellow skittles how many yellow skittles are in the bag importance of price elasticity of demand in business Danny is trying to determine the product between a rational and irrational number