Answer:
16
Step-by-step explanation:
-10 opposite is 10 which this \ or | means the its positive number. So 10 +6 is 16
4 x 2 over 2
8/2 + 1/2 = 9/2
3 x 4 over 4
12/4 +1/4 = 13/4
Top times top over bottom times bottom.
9 x 13 over 2 x 4
117 / 8
14 and 5/8
Answer:
The first term is 3. The common difference is 2.
Step-by-step explanation:
The first term is x.
The common difference is d.
The second term is x + d.
3rd term: x + 2d
4th term: x + 3d
7th term: x + 6d
"The fourth term of an Arithmetic Sequence is equal to 3 times the first term"
x + 3d = 3 * x Eq. 1
"the seventh term exceeds twice the third term by 1"
x + 6d = 2(x + 2d) + 1 Eq. 2
Simplify Eq. 1:
2x = 3d
Simplify Eq. 2:
x + 6d = 2x + 4d + 1
x = 2d - 1
Multiply both sides of the last equation by 2.
2x = 4d - 2
2x = 3d (simplified Eq. 1)
Since 2x = 2x, then the right sides are equal.
3d = 4d - 2
d = 2
2x = 3d
2x = 3(2)
2x = 6
x = 3
Answer: The first term is 3. The common difference is 2.
Answer:
The answer to your question is below.
Step-by-step explanation:
14.- Use proportions to solve these problems.
14(x + 6) = 10(x + 9)
14x + 84 = 10x + 90
14x - 10x = 90 - 84
4x = 6
x = 6/4
x = 3/2
15.- 
10(x - 1) = 8(x + 2)
10x - 10 = 8x + 16
10x - 8x = 16 + 10
2x = 26
x = 26 / 2
x = 13
16.- 
5(x + 1) = 9(10/3)
5x + 5 = 30
5x = 30 - 5
5x = 25
x = 25 / 5
x = 5
Probably C)
it starts with 8-foot diameter, and it is supposed to get smaller
This is just a theory
