Answer:

See Attachment for Graph
Step-by-step explanation:
Given


Required
Determine the point of intersection
To do this, we simply equate both expressions of y
i.e.

Solve for x


Divide through by -5



<em>Hence, the point of intersection is 1.2</em>
Answer:
{(-34/7, -16/7)}
Step-by-step explanation:
Rearrange values, multiply to solve for x.
(5) 2y = 3x + 10
(-2) 5y = 4x + 8
Solve for x.
10y = 15x + 50 ↓
-10y = -8x -16
Combine and evaluate.
0 = 7x + 34
Subtract 34 from both sides.
7x = -34
Divide both sides by 7.
x = 
Plugin x value into either equation to solve for y.
2y = (3 ×
) + 10
2y =
+ 10
2y = 
y = 
The number of messages sent by Elsa, Ryan and Jim are 11 , 84 and 21 respectively.
<em><u>Explanation</u></em>
Suppose, the number of messages Jim sent is 
As Ryan sent 4 times as many messages as Jim, so the number of messages sent by Ryan 
Also, Elsa sent 10 fewer messages than Jim, so the number of messages sent by Elsa 
Given that, they sent a <u>total of 116</u> text messages. So the equation will be.......

So, the number of messages sent by each of them.....

3* ( 1/3 -5)= -14 hope this helps
Answer:
The probability of making a correct random guess is 0.00053%.
Step-by-step explanation:
Since Clue is a board game in which you must deduce three details surrounding a murder, and in the original game of Clue, the guilty person can be chosen from 66 people, and there are 66 different possible weapons and 99 possible rooms, and at one point in the game, you have narrowed the possibilities down to 44 people, 55 weapons, and 77 rooms, to determine what is the probability of making a random guess of the guilty person, murder weapon, and location from your narrowed-down choices , and the guess being correct, the following calculation must be performed:
(1 / (44x55x77)) x 100 = X
(1 / 186,340) x 100 = X
0.0005366 = X
Therefore, the probability of making a correct random guess is 0.00053%.