In all cases, we will let x represent the number.
1) 54 tens = 540
90 - 540 = -450
x > -450
2) x < 36 and x > 24
24 < x < 36
3) 8 tens and 5 ones = 80 + 5 = 85
x > 85
4) x > 27
x < 33
And the value in the ones place is less than the value in the tens place, so
30 ≤ x ≤ 32
Use the linear slope formula to solve for m:
m=(y2-y1)/(x2-x1)
using the points (-1,1) and (1,5) you can find the slope for the first interval:
m=(5-1)/(1-(-1))
m=4/2
m=2
you can double check by using the same formula on the second interval, which is (1,5) to (3,9).
m=(9-5)/(3-1)
m=4/2
m=2
therefore, the rate of change is 2.
It is given in the question that
Ann, Chang, and Kareem sent a total of 89 text messages over their cell phones during the weekend. Ann sent 9 fewer messages than Chang. Kareem sent 3 times as many messages as Ann.
Let number of messages Chang sent be x. And Ann sent 9 fewer than Chang, so Ann sent (x-9) messages. And Kareem sent 3 times as many messages as Ann, so Kareem sent 3(x-9) messages.
And the total messages are 89. That is
Combining like terms
So Chang sent 25 messages, Ann sent
And Kareem sent
6/10 is the fraction and 60 percent
I think it is 1/3 but I am not sure. Sorry if wrong.
