Answer:
B
Step-by-step explanation:
Graph=is the line curves its not proportional
Table=x/y and a different x/y have to be the same
Use mental math to solve each equation:
1.). - 52 = - 52 + k
Simplify both sides.
- 52 = - 52 + k
Flip Equation:
k - 52 = - 52
Add 52 both sides:
k - 52 + 52 = -52 + 52
k = 0, Answer: K = 0
3.). x - 155 = 15
Add 155 to both sides:
x - 155 + 155 = 15 + 155
x = 170, Answer: 170
5.). 2,000 + y = 9,500
Simplify both sides:
y + 2000 = 9500
Subtract 2000 from both sides:
y + 2000 - 2000 = 9500 - 2000
y = 7500, Answer: 7500 Graph: 7500
7.). 111 + f = 100
Simplify both sides:
f + 111 = 100
Subtract 111 from both sides:
f + 111 - 111 = 100 - 111
f = - 11, Answer: f = - 11
Solve each equations:
9.). m - 17 = - 8
Add 17 to both sides:
m - 17 + 17 = - 8 + 17
m = 9, Answer: m = 9
11.). - 44 + n = 36
Simplify both sides of the equations:
n - 44 = 36
Add 44 to both sides:
n - 44 + 44 = 36 + 44
n = 80, Answer: n = 80
13.). x - 255 = 671
Add 255 to both sides:
x - 255 + 255 = 671 + 255
x = 926, Answer: x = 926
15.). x + 14 = 21
Subtract 14 from both sides:
x + 14 - 14 = 21 - 14
x = 7, Answer: x = 7
17.). - 19 = k + 9
Flip equation:
K + 9 = - 19
Subtract 9 from both sides:
k + 9 - 9 = - 19 - 9
k = - 28, Answer: k = - 28
19.). 36 + n = 75
Simplify both sides of equation:
n + 36 = 75
Subtract 36 from sides:
n + 36 - 36 = 75 - 36
n = 39, Answer: n = 39
21.). 41 + k = 7
Simplify both sides of equation:
k + 41 = 7
Subtract 41 from both sides:
k + 41 - 41 = 7 - 41
k = - 34, Answer: k = - 34
23.). - 88 + z = 0
Simplify both sides of equation:
z - 88 = 0
Add 88 to both sides:
z - 88 + 88 = 0 + 88
z = 88, Answer: z = 88
Hope that helps!!!! :)
Answer:
8 miles in 1 hour is the answer
<span>25
The number of balls to make an equilateral triangle with the sides of length n is expressed by the formula n(n+1)/2
So to express the number of balls you have is
b = n(n+1)/2 + 4
With the larger arrangement you have
b = (n+1)(n+2)/2 - 3
Both of those qualities are equal to each other, so set an equation where they're equal. Then solve for n
n(n+1)/2 + 4 = (n+1)(n+2)/2 - 3
Distribute the n term on the left
(n^2 + n)/2 + 4 = (n+1)(n+2)/2 - 3
Distribute the /2 on the left.
0.5n^2 + 0.5n + 4 = (n+1)(n+2)/2 - 3
Multiply (n+1)(n+2) on right, then distribute the /2
0.5n^2 + 0.5n + 4 = 0.5n^2 + 1.5n + 1 - 3
Subtract 0.5n^2 + 0.5n from both sides
4 = n + 1 - 3
Add 2 to each side
6 = n
So the original triangle had sides with a length of 6, for a total number of balls of
6(6+1)/2 = 21
with 4 extra giving 25 balls. Let's check with the next larger triangle
7(7+1)/2 = 28
with 3 balls shortage. Which 25 balls would make happen.
So the number of balls in the set is 25</span>
