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
lianna [129]
3 years ago
13

If the sum of five consecutive even integers is t, then, in terms of t, what is the greatest integer?

Mathematics
1 answer:
Andre45 [30]3 years ago
5 0
Let x be first integer the we have the sum:-

x + x +2  + x+4 + x+6 + x + 8 = t

5x + 20 = t

5x = t - 20
and x = (t - 20) / 5

so the greatest integer x + 8 = (t - 20) / 5 + 8  =  (t - 20)/5 + 40/5

=  (t + 20) / 5  answer

You might be interested in
Find the slope of a line that passes through the following points (1,1) (-3,-2)
sesenic [268]

Answer:

A

Step-by-step explanation:

Use slope formula:

m = (y2 - y1) / (x2 - x1)

m = (-2 - 1) / (-3 - 1)

m = -3/-4

Negative + Negative = Positive

m = 3/4

5 0
3 years ago
Pleas answer quickly
alexandr1967 [171]

Step-by-step explanation:

I don't understand, why there is this segment about the 0 degrees Kelvin.

any material, water or the glass the water is in, or the air, or the floor or the wall : the higher the temperature (the scale does not matter, as long both temperatures use the same), the more energy it contains (the faster the particles in that substance are moving/vibrating).

therefore a glass of water with 80 degrees will have much more energy than one with 20 degrees.

the same way an aluminum can (the actual name of that material is aluminium, but Americans seemingly cannot pronounce that) with 30 degrees has more energy than one with 20 degrees.

3 0
3 years ago
The midpoint of JK¯¯¯¯¯¯¯¯is M(6, 3). One endpoint is J(14, 9). Find the coordinates of endpoint K.
maxonik [38]
The image is downloaded.

4 0
3 years ago
There are 6 number cards (-4,-2,-1 ,5, 6, 8) arrange the cards into three pairs with the same total
hram777 [196]
8,-4 : 6,-2 : 5,-1 All should add up to four.
8 0
4 years ago
The axis of symmetry for the graph of the function is f(x) = x2 + bx + 10 is x = 6. What is the value of b?
joja [24]

Answer:

b=-12

Step-by-step explanation:

we have

f(x)=x^{2}+bx+10

we know that

The equation of a vertical parabola into vertex form is equal to

y=a(x-h)^{2} +k

where

(h,k) is the vertex of the parabola

and the axis of symmetry is equal to x=h

In this problem we have the axis of symmetry x=6

so

the x-coordinate of the vertex is equal to 6  

therefore

For x=6+1=7 -----> one unit to the right of the vertex

Find the value of f(7)

f(7)=7^{2}+b(7)+10

f(7)=59+7b

For x=6-1=5 -----> one unit to the left of the vertex

Find the value of f(5)

f(5)=5^{2}+b(5)+10

f(5)=35+5b

Remember that

f(5)=f(7) ------> the x-coordinates are at the same distance from the axis of symmetry

so

59+7b=35+5b ------> solve for b

7b-5b=35-59

2b=-24

b=-12


3 0
3 years ago
Read 2 more answers
Other questions:
  • [Geometry]
    13·1 answer
  • The product of two numbers is 240.The first number is less then the second number.Which equation can be used to find x,the lesse
    10·1 answer
  • A typical thickness for a sheet of paper is 0.004 inches. if you fold a sheet of paper once, thethickness of the folded paper wi
    15·1 answer
  • In 1911, the first year of the Indianapolis 500 auto race, the winning car had an average speed of 109.416 feet per second. What
    6·1 answer
  • At a basketball​ game, a team made 57 successful shots. They were a combination of​ 1- and​ 2-point shots. The team scored 99 po
    13·1 answer
  • What is the measure of Z
    9·1 answer
  • Which recursive formula can be used to generate the sequence below, where f(1) = 3 and n ≥ 1? 3, –6, 12, –24, 48, … f (n + 1) =
    6·2 answers
  • 7.
    6·1 answer
  • Evaluate (y - 9) + (3 + x), when y = 15 and x = 5​
    8·1 answer
  • Claire has quarters and nickels in her purse. The total value of the coins is $2.65. Which equation can be used to find x, the n
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!