9514 1404 393
Explanation:
This is a self-answering question: you solve it by graphing the equations.
<em>The solution is where the lines intersect</em>. The point of intersection of the lines is the point that satisfies all the equations for the lines, hence is a solution to the system. If they do not intersect, there are no solutions. If the lines are coincident, there are an infinite number of solutions.
__
The equations can be graphed by any of a number of methods. (My favorite is to let a graphing calculator do it.) The method of choice depends on the coefficients and the form the equations are given in. Methods of graphing are a topic for a more lengthy discussion.
When you roll and even number, the probability of winning is 3/6 or 1/2.
When you want to draw a heart:
The sample space is 12. That is 3 faces and 4 suits. There are 4 hearts in this deck. The probability you get a heart is 4/12 or 1/3.
When you want to toss a tail:
Sample<span> space is 2, hea</span>d and tail. You do not win if you get a heads. The probability is 1/2. The probability of winning is 1/2 * 1/3 * 1/2 = 1/12 Then the probability of losing is 1-1/12 = 11/12
Answer:
Each tray has 5 colours and one of the colour on the tray is purple. Hence 1/5 of the colours on the tray is purple and thus 1/5 of the colours on the 20 trays is purple. The fraction of colours on the trays will not change. If written out logically, 20 purples out of 100 colours in total on the trays will also given the fraction 1/5.
Answer:
333.3 meters per minute
Step-by-step explanation:
<u>The best way to solve this problem is using </u><u>dimensional anaysis</u><u>. First, we write out our starting units, that being 20km/1hr. We have to keep in mind that we want to change the kilometers to meters and the hours to minutes.</u>
<u>We know that there are 1000 meters in 1 kilometer. We add this to the dimensional analysis as 1000m/1km. We write it as this because we want the kilometers to cancel each other out. We only want the meters.</u>
<u>We also know that 1 hour is 60 minutes. We add this to the analysis as well so that the hours cancel each other.</u>
<u>We now solve this expression. Since both the kilometers and the hours cancel out, we have meters per minute as our unit. All that's left are the numbers.</u>
= (20*1000*1)/(1*1*60) m/min
= 333.3 meters per minute
Answer:
Answer:
m∠2= 86
Step-by-step explanation:
since they are vertical angles, that means they are both equal to eachother.
so lets set them equal!
17x+1=20x-14
17x+15=20x
15=3x
x=5
now input x into m∠2
m∠2 = 20(5) – 14 = 86
Step-by-step explanation:
