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
maxonik [38]
3 years ago
8

Question: The meaning of four consecutive even numbers is 15.

Mathematics
1 answer:
nasty-shy [4]3 years ago
8 0
First, a bit of housekeeping:

<span>The meaning of four consecutive even numbers is 15.  Wouldn't that be "mean," not meaning?  Very different concepts!

The greatest of these numbers is _______ a^1

"a^1" means "a to the first power.  There are no powers in this problem statement.  Perhaps you meant just "a" or "a_1" or a(1).


The least of these numbers is ______a^2.
No powers in this problem statement.  Perhaps you meant a_2 or a(2)


In this problem you have four numbers.  All are even, and there's a spacing of 2 units between each pair of numbers (consecutive even).

The mean, or arithmetic average, of these numbers is (a+b+c+d) / 4, where a, b, c and d represent the four consecutive even numbers.  Here this mean is 15.  The mean is most likely positioned between b anc c.


So here's what we have:  a+b+c+d
                                         ------------- = 15
                                                 4

This is equivalent to a+b+c+d = 60.

Since the numbers a, b, c and d are consecutive even integers, let's try this:

a + (a+2) + (a+4) + (a+6) = 60.    Then 4a+2+4+6=60, or 4a = 48, or a=12.

Then a=12, b=14, c=16 and d=18.  Note how (12+14+16+18) / 4 = 15, which is the given mean.

We could also type, "a(1)=12, a(2)=14, a(3) = 16, and a(4) = 18.


</span>
You might be interested in
Solve.<br> 5) Solve 2y + 12 &lt; 42.<br> Show your work.
OLEGan [10]

The answer is y < 15

4 0
2 years ago
Read 2 more answers
How many solutions does the following equation have? 2x+8=2(x+3)
wolverine [178]

Answer:

0

Step-by-step explanation: 2x+8=2x+6 --> 8=6

8 cant be equal to 6 so this equation is wrong and has no solution.

3 0
2 years ago
Create a circle such that its center is point a and b is a point on the circle​
Angelina_Jolie [31]

Step-by-step explanation:

The center of a circle is the point in the circle which is equidistant to all the edges of thr circle. The point a is the center, while point b is an arbitrary point in the circle. Find attachment for the diagram.

5 0
3 years ago
1/3x 6,000<br> helppp barely learning these
Ipatiy [6.2K]

Answer:

2000

Step-by-step explanation:

6000 / 3 = 2000

3 0
2 years ago
Read 2 more answers
Given right triangle MUD such that mD = 23.1 and d = 38, which of the following statements are true? Round to the nearest hundre
Zigmanuir [339]
∠M=90°-23.1°=66.9° - it's a right answer.

u=d/sin∠D=97.25
m=cos∠D*u=89.52
4 0
3 years ago
Read 2 more answers
Other questions:
  • The amount of a radioactive isotope decays in half every year. The amount of the isotope can be modeled by f(x) = 346(one half)x
    5·1 answer
  • 4. Henry recibe un lápiz nuevo que mide 19 centímetros de largo. Afila el lápiz varias veces. Si el lápiz mide ahora 9 centímetr
    10·1 answer
  • Write the quadratic equation in standard form.
    8·2 answers
  • Help again for the last time ;-;
    6·1 answer
  • 36-3-(2-2)<br> What is the solution
    14·1 answer
  • ) Si on multiplie les deux membres d'une inégalité par un même nombre négatif non nul, on obtient une inégalité de même sens.
    5·1 answer
  • If a rectangle measures 12 meters by 16 meters, what is the length, in meters, of the diagonal of the rectangle?
    7·1 answer
  • I need help with all of this...
    7·1 answer
  • What is the nth term of the linear sequence shown below? -9, -5, -1, 3, 7.
    9·1 answer
  • the correlation between two variables related to the same sample is a scaled quantitative measure. what is used to scale this me
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!