Answer:
-1/13 or -0.076923076923077
Step-by-step explanation:
Slope = 
One simple way to approach this is to subtract the number that DOESN’T have the variable with the solution by the sum.
Lets use problem 1 as the example:
1.) N+8=13
In this case, we subtract 13 by 8 and get 5, therefore N= 5.
2.) B+17=62
62-17= 45
B= 45
3.) X+5/6= 7/16
7/16-5/6= -19/48
X= -19/48
4.) y+1/7=5/8
5/8-1/7= 27/56
Y= 27/56
5.) 14+y=69
69-14=55
Y=55
6.) c+3.6=4.9
4.9-3.6=1.3
C= 1.3
Now for the word problems:
Lets use 7 as the example-
7.) a number increased by 19 is equal to 221.
Since we don’t know the number being increased by 19, that will be our variable. It will be re-written as so:
N + 19 = 221
Where N is the unknown number.
Using the same method of subtracting by the sum and the number that’s not the variable, we’ll get the solution to N
221-19= 202
N= 202
8.) N + 1 2/3 = 8
8 - 1 2/3 = 19/3= 6 1/3
N= 6 1/3
I really hope this helps
Maybe C, I think not too sure sorry if its wrong
Step-by-step explanation:
Given that:
[{5² × 6²}/{(30)⁴}]³
⇛[{5² × 6²}/{(5 × 6)⁴}]³
⇛[{5² × 6²}/{(5⁴ × 6⁴}]³ [∵(ab)ᵐ= aᵐbᵐ]
⇛[{5²/5⁴} × {6² × 6⁴}]³
⇛[5^(2-4) × 6^(2-4)]³ [∵aᵐ/aⁿ = aᵐ-ⁿ]
⇛[5^-2 × 6^-2]³ [∵aᵐbᵐ = (ab)ᵐ]
⇛[(5×6)^-2]³
⇛[30^-2]³
⇛[30]^-2×3 [∵(aᵐ)ⁿ = aᵐⁿ]
⇛30^-6. [∵(a^-ⁿ = 1/a^n]
⇛1/(30)⁶ ≈ 72 90 00 000 Ans.
Hope this helps!!
If you have any doubt, then you can ask me in the comments.
25 and 60 as the parallel lines means they have wth same gradient