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
Lena [83]
3 years ago
10

Three consecutive even numbers have a sum where one half of the sum is between 84 and 96

Mathematics
1 answer:
mamaluj [8]3 years ago
6 0

86 *2 = 172

172/3 = 57.33

54 + 56 +58 =168

168/2 =84


56 + 58 +60 = 174

174/2 =87

58 +60 +62 = 180

180/2 = 90

60 +62 +64 = 186

186/2 = 93


62 +64+66 = 192

192/2 = 96


 there are 3 sets of numbers that fall between 84 & 96

 1 set equals 84 and 1 set equals 96

 so if you are counting those there are 5 sets

 

You might be interested in
The metro theater has 20 rows of seats with 18 Seats in each row. The theaters income in dollars if all seats are sold is (20x18
quester [9]
It would be $1,800
You would use the distributive property to do 18x5 and then 20x5 and then add those to get 1,800
4 0
3 years ago
Consider this exponential equation:
ioda

Step-by-step explanation:

F( <em>x</em><em> </em><em>)</em><em> </em><em>=</em><em> </em><em>5</em><em> </em><em>(</em><em>3</em><em>)</em><em> </em><em>^</em><em> </em><em>x</em>

<em>Y</em><em> </em><em>intercept</em><em> </em>

<em>Let</em><em> </em><em>x</em><em> </em><em>=</em><em> </em><em>0</em>

<em>f</em><em>(</em><em>0</em><em>)</em><em> </em><em>=</em><em> </em><em>5</em><em>×</em><em> </em><em>3</em><em> </em><em>^</em><em> </em><em>0</em>

<em>f</em><em>(</em><em>0</em><em> </em><em>=</em><em> </em><em>5</em><em> </em><em>×</em><em> </em><em>1</em>

<em>f</em><em>(</em><em>0</em><em>)</em><em> </em><em>=</em><em> </em><em>5</em>

<em>X</em><em> </em><em>intercept</em><em> </em>

<em>let</em><em> </em><em>y</em><em> </em><em>=</em><em> </em><em>o</em>

<em>0</em><em> </em><em>=</em><em> </em><em>5</em><em> </em><em>×</em><em> </em><em>3</em><em> </em><em>^</em><em>x</em>

<em>No</em><em> </em><em>x</em><em> </em><em>intercept</em><em>/</em><em> </em><em>zero</em>

<em>therefore</em><em> </em>

<em>Vertical</em><em> </em><em>intercept</em><em> </em><em>(</em><em>0</em><em>;</em><em> </em><em>5</em><em>)</em>

<em>Domain</em><em> </em><em>XER</em>

<em>▪︎</em><em>this</em><em> </em><em>refer</em><em> </em><em>to</em><em> </em><em>the</em><em> </em><em>values</em><em> </em><em>of</em><em> </em><em>X</em>

4 0
3 years ago
Consider the equation 5x^2-10x+c=0. What values of c result in the equation having a complex solutions? Represent your answer on
stiv31 [10]

Answer:

When we have a quadratic equation:

a*x^2 + b*x + c = 0

There is something called the determinant, and this is:

D = b^2 - 4*a*c

If D < 0, then the we will have complex solutions.

In our case, we have

5*x^2 - 10*x + c = 0

Then the determinant is:

D = (-10)^2 - 4*5*c = 100 - 4*5*c

And we want this to be smaller than zero, then let's find the value of c such that the determinant is exactly zero:

D = 0 = 100 - 4*5*c

    4*5*c = 100  

       20*c = 100

            c = 100/20 = 5

As c is multiplicating the negative term in the equation, if c increases, then we will have that D < 0.

This means that c must be larger than 5 if we want to have complex solutions,

c > 5.

I can not represent this in your number line, but this would be represented with a white dot in the five, that extends infinitely to the right, something like the image below:

8 0
3 years ago
2) 45+ 17 = 62<br><br> 3) X + 5/6 = 7/16<br><br> 4) Y + 1/7 = 5/8
Montano1993 [528]

9514 1404 393

Answer:

  2) true

  3) X = -19/48

  4) Y = 27/56

Step-by-step explanation:

3) Subtract 5/6 from both sides

  X = 7/16 -5/6 = (7·6 -16·5)/(16·6) = (42 -80)/96

  X = -19/48

__

4) Subtract 1/7 from both sides

  Y = 5/8 -1/7 = (5·7 -8·1)/(8·7)

  Y = 27/56

6 0
3 years ago
Which of the following is located over the center of the base of a regular pyramid
kenny6666 [7]

Vertex is located over the center of the base of a regular pyramid.

<h3>What is Vertex Angle?</h3>

Vertex angle is defined as the angle formed by two lines or rays that intersect at a point. These two rays make the sides of the angle.

Here,  Vertex is the point which is located over the center of the base of a regular pyramid.

Learn more about Vertex angle from:

brainly.com/question/2028172

#SPJ1

5 0
2 years ago
Other questions:
  • I need help again please
    14·1 answer
  • 3/10 + 62/100 =<br> WILL YOU PLEASE GIVE STEPS TO FIND THE SUM ON THE PROBLEM ABOVE?
    11·1 answer
  • Lauren save $84 more than Fiona. 1 fifth Of Lauren's saving was the same as 3 eights of fiona's Saving. How much did Lauren and
    10·1 answer
  • What is the circumference of the given circle in terms of pi?
    15·2 answers
  • The measure of central angle YCZ is 80 degrees. Circle C is shown. Line segments X C, W C, Y C, and Z C are radii. The length of
    10·2 answers
  • Write. varible expression to describe the rule for the sequence 8,10,12,14 then find the 100th term
    15·1 answer
  • which one the following is example of kinetic energy A) a compressed spring B) water that has been released through spillway C)
    7·1 answer
  • The maximum height of an asian elephant is 9.8 feet. What mixed number represtents this height?
    11·2 answers
  • PLZ HELP 3 MINUTES LEFT WIL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    11·1 answer
  • If your scientific notation is 2.420 x 10° g (2.420 E 5 g), which direction would you move the decimal point to get the scientif
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!