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
dlinn [17]
3 years ago
7

The arithmetic mean of 10 consecutive even integers is 3. What is the least of these 10 even integers?

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
6 0

Answer:

-6

Step-by-step explanation:

2n can be the smallest integer, and 2n + 18 will be the largest integer.

The sum of this, divided by two, will result in the average/mean.

(2n + 2n + 18)/2 = 3

Multiply each side by 2:

(2n + 2n + 18)/2 ⋅ 2 = 3 ⋅ 2

2n + 2n + 18  =  6

Combine the like terms:

4n + 18 = 6

Subtract 18 from both sides:

4n + 18 - 18 = 6 - 18

4n = -12

Divide each side by 4:

4n/4 = -12/4

n = -3

Since we decided to go by 2n:

2n = 2(-3) = <u>-6</u>

You might be interested in
Which value is a solution of the equation 8y=56?
Korvikt [17]

Answer:

7

Step-by-step explanation:

If you divide 8y / 8  then you have to do the same thing to 56. When you do, y  = 7

3 0
3 years ago
2x^2-5x+6 divided by x-3
hichkok12 [17]

Answer:

2

Step-by-step explanation:


8 0
2 years ago
Find the solution set for this equation.<br> a2 + a=0<br> Separate the two values with a comma.
ira [324]

Answer:

a = 0,-1

Step-by-step explanation:

a^2 + a=0

Factor out an a

a(a+1) =0

Using the zero product property

a=0   a+1 =0

a=0  a= -1

6 0
3 years ago
Direct Variation - Item 2845
Brums [2.3K]

The equation of direct proportion is y = 62x

<h3>Direct variation</h3>

Two quantities are said to vary directly proportional to each other when an increase in one leads to an increase in the other or a decrease in one leads to a decrease in the other.

Direct variation is given by:

y = kx

where y, x are the variables and k is the constant of proportionality.

The equation of direct proportion is y = 62x

Find out more on Direct variation at: brainly.com/question/6499629

3 0
2 years ago
Ashley spent 3x + 2hours on her science project and Adam spent 4x - 6 hours on his science project. If they spent a total of 31
miv72 [106K]

Answer:

x = 5

Step-by-step explanation:

Ashley and Adam spent a total of 31 hours on their projects so: 3x+2+4x-6 = 31

3x+2+4x-6 = 31

7x-4 = 31

7x = 35

x = 5

6 0
2 years ago
Other questions:
  • 7.5% of the box office receipts on a Friday night are $270. What are is the total length box office receipts
    10·1 answer
  • What is the place if 6 in 34.76
    12·2 answers
  • Last year a large trucking company delivered 4.5x10^5 tons of goods with an average value of $22,000 per ton. what was the total
    13·1 answer
  • 3v+2u÷5+u-5v÷8-3v÷4​
    5·1 answer
  • Can all quadrilaterals be inscribed in a circle? Explain
    13·1 answer
  • On a certain portion of an experiment, a statistical test result yielded a p-value of 0.21. What can you conclude? 2(0.21) = 0.4
    8·1 answer
  • Help me out? it would mean tons tysm
    15·1 answer
  • Anna is making a banner out of 4 congruent triangles as shown below. How much blue trim will she need for each side
    6·1 answer
  • Simplify:<br><img src="https://tex.z-dn.net/?f=x%20%5E%7B4%7D%20%20-%20%20%7Bx%7D%5E%7B2%7D%20%20%7By%7D%5E%7B2%7D%20%20%2B%20%2
    13·1 answer
  • Which of the following statements are true for sin (-430°)
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!