1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zhannawk [14.2K]
3 years ago
13

The sum of three consecutive integers is 345. find the three integers.

Mathematics
2 answers:
Yanka [14]3 years ago
5 0
X - 1 + x + x + 1 = 345
Consecutive means that each member differs by one. Put another way you add one to the previous number to get the next number.

3x = 345
x = 115
x - 1 = 114
x + 1 = 116
Ksenya-84 [330]3 years ago
4 0

Our three consecutive integers can be represented as

X ← <em>first integer</em>

X + 1 ← <em>second integer</em>

X + 2 ← <em>third integer</em>

Since the sum of our three consecutive integers is 345, our equation will read

X + X + 1 + X + 2 = 345

When we simplify on the left, our equation will now read

3x + 3 = 345

      -3      -3  ← subtract 3 on both sides

      3x = 342 ← divide both sides by 3

        X = 114

first integer = 114

second integer = 114 + 1 = 115

third integer = 114 + 2 = 116

Therefore, the three consecutive integers are 114, 115, and 116.

You might be interested in
Does anyone know how to do this
Ksenya-84 [330]
The numbers on the top depend on how many sides a dice has. Hope this helps.

6 0
2 years ago
A garden table and a bench cost 816 combined. The garden table costs 84 less than the bench. What is the cost of the bench?
klemol [59]

Answer:

366

Step-by-step explanation:

A garden table and bench cost 816 when combined together

The garden table cost 84 less than the bench

Therefore the price of the bench can be calculated as follows

x + (x+84)= 816

2x+84= 816

2x= 816-84

2x= 732

Divide both sides by 2

x= 732/2

= 366

Hence the price of the bench is 366

5 0
3 years ago
Use the image to answer the question. Use the drop-down menus to complete the statements. It isfor Acacia to pick a purple piece
I am Lyosha [343]

Answer:

1. less likely

2. more likely

Step-by-step explanation:

test took

3 0
3 years ago
Read 2 more answers
Last month Marcus borrowed $74 from his roommate so far he has paid him back $33 which equation could be used to find X the amou
weeeeeb [17]

Answer:

d

Step-by-step explanation:

since he has already paid 33 then you will have to add the x amount still need to be paid

7 0
3 years ago
Read 2 more answers
Assume that body masses of Goldfinch birds follow a normal distribution with standard deviation equal to 0.04 oz. An ornithologi
il63 [147K]

Answer:

The formula to generate 70% confidence interval is: [\overline{x} - 0.013, \overline{x} + 0.013], in which \overline{x}  is the sample mean.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.7}{2} = 0.15

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a pvalue of 1 - 0.15 = 0.85, so Z = 1.037.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

Assume that body masses of Goldfinch birds follow a normal distribution with standard deviation equal to 0.04 oz.

This means that \sigma = 0.04.

Sample of 10 birds:

This means that n = 10.

The margin of error is of:

M = z\frac{\sigma}{\sqrt{n}}

M = 1.037\frac{0.04}{\sqrt{10}}

M = 0.013

The lower end of the interval is the sample mean of \overline{x} subtracted by M.

The upper end of the interval is the sample mean of \overline{x} added to M.

Then, the formula to generate 70% confidence interval is: [\overline{x} - 0.013, \overline{x} + 0.013], in which \overline{x}  is the sample mean.

8 0
3 years ago
Other questions:
  • Which is right??????
    5·2 answers
  • for which of the following would it be appropriate to use positive integers for the domain of the function? select all that appl
    10·2 answers
  • Tell whether (2,6) is a solution of y = 3x. (show your work)
    7·1 answer
  • Jerry is traveling 475 miles to his mother's house. If his average speed is 62 miles per hour, which is a reasonable estimate of
    11·1 answer
  • A square is defined to be a quadrilateral with four congruent sides and four right
    10·1 answer
  • Please help me solve this
    9·1 answer
  • What's 5.1 x 10^0 in standard notation? plz I meed it for my math class ​
    7·1 answer
  • How many minimum squares are there in a net of a cuboid?
    13·1 answer
  • Find the value of x.
    14·1 answer
  • 15. Which rule was used to create the arithmetic sequence below?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!