It the answer would be 51.41
Answer:
The first one, the third one, and the fourth one.
Step-by-step explanation:
i just put the ones that are correct. If you want me to write out why the incorrect ones are incorrect, let me know.
1.
-6=3x
-6= 3(-2)
-6= -6
3. -8= x+x+x+x
-8= -2+-2+-2+-2
-8= -8
4. x/2= (-1)
-2/2 =(-1)
-1= -1
The number of ways in which you can win first prize and your mom went the second prize will be 8. Then the correct option is D.
<h3>What are permutation and combination?</h3>
A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.
You and your mom enter the drawing with three different prices the prizes are awarded at random is a total of 8 people entered the drawing.
Then the number of the ways in which you can win first prize and your mom went the second prize will be
Let x be the number of different ways.
Then we have

Thus, the number of ways in which you can win first prize and your mom went the second prize will be 8.
More about the permutation and the combination link is given below.
brainly.com/question/11732255
#SPJ1
20. parallel lines will have the same slope, but different y intercepts
In y = mx + b form, the slope is in the m position and the y intercept is in the b position.
So y = 3x + 4 and y = 3x + 6 are parallel lines
21. perpendicular lines will have negative reciprocal slopes.
lets say u have a line..y = 2/3x + 4....the slope here is 2/3. To find the negative reciprocal, flip the slope and change the sign. So we have 2/3, flip the slope making it 3/2, change the sign making it -3/2. So ur perpendicular line will have a slope of -3/2.
so ur equations can be : y = 2/3x + 4 and y = -3/2x + 4
22. y = 2x + 5...slope here is 2. Parallel lines have the same slope.
y = mx + b
slope(m) = 2
(-3,1)...x = -3 and y = 1
sub and find b, the y int
1 = 2(-3) + b
1 = -6 + b
1 + 6 = b
7 = b
so this equation is : y = 2x + 7
23. 4x + 3y = (I cant see the last number..but we dont need it)
3y = -4x + ?
y = -4/3x + ?.....slope here is -4/3. A perpendicular line will have a negative reciprocal slope. So out perpendicular line will have a slope of 3/4.
y = mx + b
slope(m) = 3/4
(-8,-5)...x = -8 and y = -5
sub and find b, the y int
-5 = 3/4(-8) + b
-5 = - 6 + b
-5 + 6 = b
1 = b
so ur equation is : y = 3/4x + 1
Since the whole number here would be 100 all you would need to do is take 950/100 so you can take 9 whole buckets out wich is 900 so that leave you with 50 and that's half of 100 so the answer would be 9 and one half