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

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

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

Answers

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

simplify the fraction 56/100

Answers

Think it’s 57/100 or rounded its

solve 9x - y = 45 for y​

Answers

Answer:

y=9x-45

Step-by-step explanation:

9x-y=45

-y=45-9x

y=9x-45

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...

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

Answers

Answer:

it is algebraic expression

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

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]

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

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

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

Answers

Answer:53 over 30

Step-by-step explanation:

look at image. reflection across the x-axis​

Answers

Answer:

S 1,-1     R 1,-3   :)

Step-by-step explanation:







Item 4
Solve the equation.

23h−13h+11=8
h=

Answers

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

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:

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

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

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 (:

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

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)

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

Answers

yes you are right, density formula is :

density = mass ÷ vol

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.

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:

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%.

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

Answers

5x5 - 10x = 0


5x5 - 10x = 5x • (x4 - 2)

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

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.

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


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