Answer:
190 chairs
Step-by-step explanation:
-This is an arithmetic progression with the first term a=10, the common difference is d=2 and the number of terms n=10.
-The sum of n terms in the progression can be calculated as follows:
Where
is the sum of the progression's terms.
are the first and last terms of the progression.
#We calculate as below:
#We then substitute to calculate the sum of the terms:
Hence, 190 chairs are needed for the 10 rows.
Answer:
—Section 1–
a) 5 points. (Points are the dots, there are 5.)
b) 2 lines. (Line a, line b.)
c) Just 1. (that 2D shape in the background.)
d) VWX (V is in the name.)
e) Point W is the intersection. (Both lines meet at that point, they intersect.)
f) YWZ or ZWY both works (Name the line by its points.)
g) XWZ, XWY, ZWV, etc. (Any 3 points that don’t go in a straight line).
h) YWV, ZWV, YXW, etc. (Any 3 points that are within the same plane.)
—Section 2–
a) 9 points.
b) 3 lines.
c) 2 planes.
d) P, N, G / M, N, O / R, N, S
e) N, T, U, P (Any 4 points that don’t belong in a single plane.)
f) O, N, M / M, N, O
g) Point N.
h) Point C.
i) N, M, U
j) Line D.
—Section 3–
a) 8 points.
b) 9 lines.
c) 5 planes.
d) F, H, C.
e) B, E, F.
f) Line AB.
g) Line EF.
h) Point D.
Answer:
Step-by-step explanation:
7) (4 , 7)
Slope of the line passing through (0, 3) and (2,5) =
Point lying on this line will have the same slope
(0,3) and (4,7)
Slope=
(4, 7) lies on this line.
8) (2 , 2)
Slope of the line passing through (-2,10) and (1,4) = -2
(2, 2) & ( 1, 4)
(2, 2) lies on this line
Answer:
9 plants
Step-by-step explanation:
Since we are trying to find the number of plants that are shorter than 9 inches, we will look at the plants that are 2, 3, 4, 5, 6, 7, and 8 inches tall.
Each x counts as a plant
# of 2 inch plants: 1
# of 3 inch plants: 1
# of 4 inch plants: 4
# of 5 inch plants: 1
# of 6 inch plants: 1
# of 7 inch plants: 1
# of 8 inch plants: 0
Add up the number of plants:
1 + 1 + 4 + 1 + 1 + 1 + 0 = 9
Answer:
9 plants
Hope this helps!
14x - 13 = 9x + 1
- 9x - 9x
5x - 13 = 1
+ 13 + 13
5x = 14
5 5
x = 2.8