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
OleMash [197]
3 years ago
9

the set M contains 4positive integers - if the average is 7 what is the highest possible integer in the set M

Mathematics
1 answer:
ludmilkaskok [199]3 years ago
4 0
4 positive integers : x, x + 2, x + 4, x + 6

((x) + (x + 2) + (x + 4) + (x + 6)) / 4 = 7...combine like terms
(4x + 12) / 4 = 7...multiply both sides by 4
4x + 12 = 7 * 4
4x + 12 = 28
4x = 28 - 12
4x = 16
x = 16/4
x = 4

x + 2 = 4 + 2 = 6
x + 4 = 4 + 4 = 8
x + 6 = 4 + 6 = 10

lets check...
(4 + 6 + 8 + 10) / 4 = 7
28/4 = 7
7 = 7 (correct)

the highest possible integer is 10
You might be interested in
40.51x+12.45y=666.64
irga5000 [103]

Answer:

The graph of the equation 40.51x+12.45y=666.64 is attached with the answer where the horizontal axis represents the X axis and the vertical axis represents Y axis.

To plot the graph physically just find two points lying on the line. Mark the points on the graph sheet and then join them. This will give you the line represented by the equation.

To find points on the line assume the value of any one variable, substitute it in the equation, then solve the equation to find the value of other variable. For example : assume y = 1; substitute the value of y in the equation;

⇒ 40.51x + 12.45×1 = 666.64

⇒ 40.51x = 666.64 - 12.45

⇒ 40.51x = 654.19

⇒ x = \frac{654.19}{40.51}

⇒ x ≈ 16.149

Therefore point ( 16.149 , 1 ) lie on the graph of the equation.

***Only two points are required to plot this graph just because it represents a straight line, that we can conclude just by observing the equation. If in an equation the power of x is 1 or 0 and power of y is 1 or 0 then only it will represent a straight line in 2-D plane.***

5 0
3 years ago
A circle with a radius of 10 inches is placed inside a square with a side length of 20 inches. Find the probability that a dart
melamori03 [73]

Answer:

The correct answer is last option 78.5%

Step-by-step explanation:

Points to remember

Area of circle = πr²

Where r is the radius of circle

Area of square = a²

Where 'a' is the side length of square

<u>To find the area of circle</u>

Here r = 10 cinches

Area =  πr²

 =  3.14 * 10²

 = 3.14 * 100 = 314

<u>To find the area of square</u>

Here a = 20 inches

Area = a²

 = 20²

 = 400

<u>To find the probability percentage</u>

Probability = area of circle/Area of square

 = (314/400)*100

 78.5 %

7 0
2 years ago
Read 2 more answers
Matt had 60 questions correct on a Percent's Chapter Test that had 150 one-mark questions.
WARRIOR [948]
60/150 = 40%

Hope this helps :D
7 0
3 years ago
Someone 1v1 me on Fortnite im a na west competitive player on pc 144 hz my epic is TNA Rims add me and ill win boxfight
ipn [44]

Answer:

K

Step-by-step explanation:

got it

4 0
2 years ago
Read 2 more answers
7(2 + 3) − 4 · 2 2 <br><br> the second two is up in the air fyi
AfilCa [17]

Answer:

19

Step-by-step explanation:

7(<u>2 + 3</u>) − 4 · 2² ← like that right so

<u>parenthesis first add the numbers up↓</u>

7(5) - <u>4</u> · 2²

write number in exponential form↓

<u>7(5)</u> - 2²· 2²

multiply↓

35 - <u>2² · 2²</u>

calculate the product↓

35 - <u>2⁴</u>

evaluate the power↓

35-16

then subtract↓

19

7 0
2 years ago
Other questions:
  • PLEASE HELP ME SOLVE THIS, WHOEVER DOES WILL EARN 100 PTS!!!!!!!!!!!!!
    11·2 answers
  • Find the two inequalities that define the region on the grid that is not shaded
    6·1 answer
  • Can someone plz help me? Thanks
    8·2 answers
  • Which of the following is an example of an open equation? 5x + 7 = 12 , 12 + (-8) = 4 , 25 = 5 (5) , 8 + 0 =8
    11·1 answer
  • If X=-12 and Y=17,what is the length of XY?
    13·1 answer
  • Given the set B​ = {x​ | x​ = 2y + 3, where y​ ∈ I and 0​ &lt; y​ &lt; 5}, write the elements of the set using the roster method
    12·1 answer
  • What is the value of x4+0.5y3when x=2 and y=4?
    10·1 answer
  • Find the slope of the line.<br><br> Please help
    5·2 answers
  • Can someone please help me
    5·1 answer
  • Can someone help me with this I dont understand. Thank you so much!
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!