The number of messages Kaitlyn, Tony and Austin sent are 13, 18 and 72 messages respectively.
<h3>How to write and solve equation?</h3>
let
- Number of messages Kaitlyn sent = x
- Number of messages Tony sent = x + 5
- Number of messages Austin sent = 4(x + 5)
- Total messages = 103
103 = x + (x + 5) + 4(x + 5)
103 = x + x + 5 + 4x + 20
103 = 6x + 25
103 - 25 = 6x
78 = 6x
x = 78/6
x = 13
Number of messages each sent:
Number of messages Kaitlyn sent = x
= 13 messages
Number of messages Tony sent = x + 5
= 13 + 5
= 18 messages
Number of messages Austin sent = 4(x + 5)
= 4(13 + 5)
= 4(18)
= 72 messages
Learn more about equation:
brainly.com/question/2972832
#SPJ1
Answer:
y=-1/4x
Step-by-step explanation:
METHOD 1: The basic slope-intercept equation is <em>y=ax+b</em>. To achieve the slope with two points, this is the equation:

All you have to do is insert points (-4, 1) and (4, -1) into their corresponding locations.

With this equation, you will be able to find the slope. Then you can simply graph it to connect the two dots.
METHOD 2: Simply connect the two dots with a straight line (use a ruler or something with a straight edge.) Then count how many spaces up/down and left/right. If the line goes from top to bottom from left to right, it is a negative slope (hence, the -1/4.)
Answer:
<u>1/ 130 is the probability that they are the 4 oldest people in the group. </u>
Step-by-step explanation:
In the question, we are given; group of 11 people, 4 are selected randomly, find probability they are the 4 oldest people from the group
P(O)= <em>favorable number of outcomes / total number of outcomes </em>
<h3>= 1 / 11C4</h3>
= 11! / (11-4)! 4!
= 7! *4! / 11!
=1/ 130
<em>Therefore, 1 / 130 is the probability that they are the 4 oldest people in the group. </em>
#SPJ4
Answer:
x intercepts 1.5 and 5 make the equation
(x -1.5) * (x -5) = 0
x^2 -6.5x + 7.5 = 0
Step-by-step explanation: