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
Twenty-one fish are swimming in an aquarium. Eleven are removed, leaving 10 fish. Which number is the additive inverse of the nu
agasfer [191]

The additive inverse: The usage of addition with a negative number.

The original equation is 21 - 11 = 10

To use the additive inverse, change it so that there is an addition sign.

21 + (-11) = 10

B) -11 is your answer

hope this helps

7 0
2 years ago
Read 2 more answers
I need help with this question!!
Mashcka [7]

Answer:

QR = 5.

Step-by-step explanation:

Because the parallelograms are similar then the corresponding sides are in the same ratio.

So AB / PQ = BC / QR

9/3 = 15 / QR

15 / QR = 3

QR = 15/3

= 5.  (answer)

7 0
3 years ago
Write the slope-intercept form of the equation of the line given the
svetoff [14.1K]

Answer:

y= -4x-7 or 4x+y= -7

Step-by-step explanation:

we know y=mx+c

given,

m=-4 c=-7

the equation y= -4x-7 or 4x+y= -7

thank u

5 0
3 years ago
Two sections took the same vocabulary qui. Use the 5-number summary 20,30 35 45 80) to construct a boxplot for Section and use t
gulaghasi [49]

Answer:

C. There are the same number of scores in Section and Section

Step-by-step explanation:

The median of section I is greater than the median of section L. Median is the middle value or midpoint in the data set. In the given quiz the data set has different numbers for every section and therefore the values are not same. The data set has 75% of scores in section il which is higher than the section L.

7 0
2 years ago
Find the volume of each figure. Round to the nearest tenth if necessary.​
ziro4ka [17]

Answer:

112

Step-by-step explanation:

The volume is given by l*b*h=4*4*7=112

7 0
3 years ago
Other questions:
  • Equation of the line parallel to the equation y = -2x - 7 that passes through the point (3, 1).
    11·2 answers
  • According to the Ruler Postulate, what does the set of points on any line correspond to?
    11·1 answer
  • A scuba diver is swimming 15 feet below the water’s surface. The diver swims up slowly at 0.5 feet per second for 4 seconds; and
    15·2 answers
  • What is 9x + 12 &lt; 84 and 2x - 6x &gt; -8
    5·2 answers
  • Tyron takes 5/8 hour to paint a wall. His brother takes 1/3 of the time Tyron takes. How long will his brother take to paint 5 s
    7·1 answer
  • A park is 4 times as long as its wide. If the distance around the park is12.5kilometers, what is the are of the park
    10·1 answer
  • roberto was planning his birthday party. he estimated that each person at his party would eat 2 1/2 hambugers and 1/5 of a bag o
    5·2 answers
  • Area of circle <br> sector and finding the percentage
    10·1 answer
  • The sum of the measures of the interior angles of a polygon with n sides is
    11·1 answer
  • The apothem is perpendicular to a side and forms two
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!