Answer:
Answer:
The manager's prediction is false
Step-by-step explanation:
Given
Jacob: 2000x + 4000
Carlos: 3500x - 40000
Required
Determine if both expression will be the same if x = 35
To do this;
Equate both expressions and then solve for x
i.e.
2000x+4000=3500x-40000
Collect Like Terms
2000x+4000=3500x-40000
-1500x=-44000
Divide both sides by -1500
Hence, the manager's prediction is not true because x35
Answer:
<h3>
R = 20</h3>
Step-by-step explanation:
The sum of measures of angles in triangle is always 180°:
P + Q + R = 180
Q - R = 50 ⇒ Q = 50 + R
P - Q = 20 ⇒ P = 20 + Q = 20 + 50 + R = 70 + R
so:
P + Q + R = 180
70 + R + 50 + R + R = 180
120 + 3R = 180
3R = 180 - 120
3R = 60
R = 60:3
R = 20
Answer:
No. X's above 2: 1
Above 3: 1
Above 4: 3
Above 5: 3
Step-by-step explanation:
Drawing a line plot of a data set means that you record the number of times that particular value shows up in the set. 2 on the line plot would only have 1 'X' placed above it because there is only one 2 in the data set:
5, 5, 4, 3, 2, 5, 4, 4
3 would also have 1 'X' above it because there is also only one 3 in the data set:
5, 5, 4, 3, 2, 5, 4, 4
Similarly, 4 and 5 would both have three 'X's because there are three 4's and three 5's in the data set:
4's: 5, 5, 4, 3, 2, 5, 4, 4
5's: 5, 5, 4, 3, 2, 5, 4, 4
Hope this helped!
Octagon, stop sign.
Eight isoscles triangles. It looks like we're told the side is 9.9 and the height to the side (also called the apothem) is 12.
So each isosceles triangle has area (1/2)(9.9)(12) and we have eight of them,
area = 8(1/2)(9.9)(12) = 475.2
Answer: 475.2
Usually we wouldn't be told 9.9 -- this is the baby version. We know each of those isoscles triangles has unique angle 360/8=45 degrees, so the apothem and half the side of the octagon are a right triangle with acute angle 22.5 degrees.
The area of the right triangle with long leg 12, short leg x,
tan 22.5 = x/12 or
x = 12 tan 22.5
Twice that is what we're told is 9.9; let's check:
2x = 24 tan 22.5 = 9.941125496954282
The area of the little right triangle is
(1/2) 12 × 12 tan 22.5
and there are 16 of these
16 (1/2) 12 × 12 tan 22.5 ≈ 477.174