We can represent the three integers with x, x + 2, and x + 4
This shows that the integers ascend in two units at a time, which are consecutive even integers. Next we can just translate the equation straight through.
5(x+4)=2(x + x + 2 + 42)
5x + 20 = 2(2x + 44)
5x + 20 = 4x + 88
x = 68
The integers are 68, 70, and 72
Answer: D
<u>Step-by-step explanation:</u>
In order to increase each ticket by $2, you are ADDING 2 to each value.
So you create a matrix of all 2's and add that to the given matrix.
![\left[\begin{array}{cc}2&2\\2&2\\2&2\end{array}\right] +\left[\begin{array}{cc}8&10\\12&16\\6&8\end{array}\right]\quad =\quad \large \left[\begin{array}{cc}10&12\\14&18\\8&10\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D2%262%5C%5C2%262%5C%5C2%262%5Cend%7Barray%7D%5Cright%5D%20%2B%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D8%2610%5C%5C12%2616%5C%5C6%268%5Cend%7Barray%7D%5Cright%5D%5Cquad%20%3D%5Cquad%20%5Clarge%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D10%2612%5C%5C14%2618%5C%5C8%2610%5Cend%7Barray%7D%5Cright%5D)
Answer:
2 and 2/3 for the first question
-1/8 for the second one
-1/5 for the third one
ive never done this type of question or maybe it was too long ago for me to remember but out of this answer choices i would guess that its the last one
this is 3
Step-by-step explanation:
you add the numerators which is the top number in order to get 2 and 2/3rds
you subtract 5 from 4 to get -1/8
same situation as the last one, subtract 15 from 11 to make it a negative 4/20 and then simplify that by dividing it by four to get 1/5th
this one i dont understand or remember how to do very well but if i had to guess its the last answer choice
this one you add 3/4 plus 1/4 in order to get 4/4 or rather 1, so basically its asking what 1+1+1 is which is 3
Answer:
The minimum average speed needed in the second half is 270 km/hr
Step-by-step explanation
We can divide the track in two parts. For the first half of the track the average speed the car achieved was 230 km/hr and we need to make sure that the average speed of the full track is 250 km/hr. Then, we can calculate the average speed of the two parts of the track and force this to be equal to 250 km/hr. In equation, defining 
as the average speed of the second half:
Solving for 
Therefore, achieving a speed of 270 km/hr in the second half would be enough to achieve an average speed of 250 on the track.
Score = 6x+y
so 6x+y = xy
⇒ 6x = xy-y
⇒ 6x = y(x-1)
⇒ y = 6x/(x-1)
for x=0, y=0
x=1 , not possible
x=2, y = 12
x = 3, y = 9
x = 4, y = 8
x = 5, y = 7.5 (not possible)
x = 6 , y = 7.1 (not possible)
x = 7, y = 7
x = 8, y = 6.85 (not possible)
x = 9, y = 6.75 (not possible)...
Only five scores are possible.
